Icing calculation. Icing Forecast

Aircraft icing intensity in flight(I mm/min) is estimated by the rate of ice growth on the leading edge of the wing - the thickness of the ice deposition per unit time. Intensity is distinguished:

A) light icing - I less than 0.5 mm / min;

B) moderate icing - I from 0.5 to 1.0 mm / min;

C) heavy icing - I more than 1.0 mm / min;

When assessing the risk of icing, you can use the concept of the degree of icing. Degree of icing - total ice deposition for the entire time the aircraft has been in the icing zone. The longer the flight of an aircraft in icing conditions, the greater the degree of icing.

For a theoretical assessment of the factors affecting the intensity of icing, the following formula is used:

Icing intensity; - aircraft airspeed; - water content of the cloud; - integral capture coefficient; - freezing factor; - the density of the growing ice, which ranges from 0.6 g/cm 3 (white ice); up to 1.0 g/cm 3 (clear ice);

The intensity of icing of the aircraft increases with an increase in the water content of the clouds. The values ​​of the water content of clouds vary in wide aisles - from thousandths to several grams per cubic meter of air. The water content of clouds is not measured at AD, but it can be indirectly judged by the temperature and shape of the clouds. When the water content of the cloud is 1 g/cm3, the strongest icing is observed.

A prerequisite for aircraft icing in flight is the negative temperature of their surfaces (from 5 to -50 degrees C). Icing of aircraft with gas turbine engines can occur at positive air temperatures. (from 0 to 5 degrees C)

As the airspeed of the aircraft increases, the intensity of icing increases. However, at high air speeds, kinetic heating of the aircraft occurs, which prevents icing.

The intensity of aircraft icing in different forms is different.

In cumulonimbus and powerful cumulus clouds, at negative air temperatures, heavy icing of the aircraft is almost always possible. These clouds contain large droplets with a diameter of 100 µm or more.

In an array of stratus rain and altostratus clouds, with increasing height, a decrease in the size of drops and their number is observed. Heavy icing is possible when flying in the lower part of the cloud mass. Intramass stratus and stratocumulus clouds are most often water clouds and are characterized by an increase in water content with height. At temperatures from -0 to -20 in these clouds, light icing is usually observed, in some cases icing can be severe.

When flying in altocumulus clouds, light icing is observed. If the thickness of these clouds is more than 600 meters, icing in them can be severe.

Flights in areas of heavy icing are flights in special conditions. Heavy icing is a meteorological phenomenon dangerous for flights.

Signs of heavy icing of the aircraft are: rapid ice buildup on the windshield wipers and windshield; a decrease in the indicated speed 5-10 minutes after entering the clouds by 5-10 km/h.

(There are 5 types of icing in flight: clear ice, frosted ice, white ice, frost and hoarfrost. The most dangerous types of icing are transparent and frosted ice, which are observed at air temperatures from -0 to -10 degrees.

Transparent ice- is the densest of all types of icing.

frosted ice has a rough bumpy surface. Strongly distorts the profile of the wing and aircraft.

white ice- coarse ice, porous deposits, adheres loosely to the aircraft, and easily falls off when vibrated.)

Aircraft icing is one of the meteorological phenomena dangerous for flights.
Despite the fact that modern airplanes and helicopters are equipped with anti-icing systems, in order to ensure flight safety, one constantly has to take into account the possibility of ice deposition on aircraft in flight.
For the correct use of anti-icing equipment and the rational operation of anti-icing systems, it is necessary to know the features of the aircraft icing process in different meteorological conditions and under different flight modes, as well as to have reliable predictive information about the possibility of icing. Special meaning the forecast of this dangerous meteorological phenomenon is for light aircraft and for helicopters, which are less protected from icing than large aircraft.

Aircraft icing conditions

Icing occurs when supercooled water drops of a cloud, rain, drizzle, and sometimes a mixture of supercooled drops and wet snow, ice crystals collide with the surface of an aircraft (AC) that has a negative temperature. The process of aircraft icing proceeds under the influence of various factors related, on the one hand, to the negative air temperature at flight level, the presence of supercooled drops or ice crystals and the possibility of their settling on the aircraft surface. On the other hand, the process of ice deposition is determined by the dynamics of the heat balance on the icing surface. Thus, when analyzing and forecasting icing conditions for aircraft, not only the state of the atmosphere, but also the design features of the aircraft, its speed and flight duration should be taken into account.
The degree of danger of icing can be assessed by the rate of ice growth. A characteristic of the slew rate is the intensity of icing (mm/min), i.e., the thickness of ice deposited on the surface per unit time. By intensity, icing is weak (1.0 mm/min).
For a theoretical assessment of the intensity of aircraft icing, the following formula is used:
where V is the aircraft flight speed, km/h; b - cloud water content, g/m3; E is the total capture factor; β - freezing coefficient; Рl - density of ice, g/cm3.
With an increase in water content, the intensity of icing increases. But since not all of the water settling in drops has time to freeze (part of it is blown away by the air flow and evaporates), the freezing coefficient is introduced, which characterizes the ratio of the mass of overgrown ice to the mass of water that has settled over the same time on the same surface.
The rate of ice growth on different parts of the aircraft surface is different. In this regard, the full particle capture coefficient is introduced into the formula, which reflects the influence of many factors: the wing profile and size, flight speed, droplet sizes and their distribution in the cloud.
When approaching the streamlined airfoil, the drop is subjected to the force of inertia, which tends to keep it in a straight line of the undisturbed flow, and the air resistance force, which prevents the drop from deviating from the trajectory of air particles enveloping the wing profile. The larger the drop, the greater the force of its inertia and the more drops are deposited on the surface. The presence of large drops and high flow velocities lead to an increase in the intensity of icing. It is obvious that a profile of less thickness causes less curvature of the trajectories of air particles than a profile of a larger section. As a result, on thin profiles, more favorable conditions are created for the deposition of drops and more intense icing; wingtips, struts, air pressure receiver, etc. will ice up faster.
The droplet size and polydispersity of their distribution in the cloud are important for assessing the thermal conditions of icing. The smaller the droplet radius, the lower temperature it can be in the liquid state. This factor is significant if we take into account the effect of flight speed on the surface temperature of the aircraft.
At a flight speed not exceeding the values ​​corresponding to the number M = 0.5, the intensity of icing is the greater, the greater the speed. However, with an increase in flight speed, a decrease in droplet settling is observed due to the influence of air compressibility. The freezing conditions of droplets also change under the influence of kinetic heating of the surface due to deceleration and compression of the air flow.
To calculate the kinetic heating of the aircraft surface (in dry air) ΔTkin.c, the following formulas are used:
In these formulas, T is the absolute temperature of the surrounding dry air, K; V - aircraft flight speed, m/s.
However, these formulas do not allow one to correctly estimate the icing conditions during flight in clouds and atmospheric precipitation, when the temperature increase in the compressing air occurs according to the humid adiabatic law. In this case, part of the heat is spent on evaporation. When flying in clouds and precipitation, the kinetic heating is less than when flying at the same speed in dry air.
To calculate the kinetic heating in any conditions, the formula should be used:
where V is the flight speed, km/h; Ya - dry adiabatic gradient in the case of flight outside the clouds and wet adiabatic temperature gradient when flying in the clouds.
Since the dependence of the humid adiabatic gradient on temperature and pressure is complex, it is advisable to use graphical constructions on an aerological diagram for calculations or use table data that are sufficient for tentative estimates. The data in this table refer to the critical point of the profile, where all kinetic energy is converted into thermal energy.

The kinetic heating of different sections of the wing surface is not the same. The greatest heating is at the leading edge (at the critical point), as it approaches the rear of the wing, the heating decreases. The calculation of the kinetic heating of individual parts of the wing and the side parts of the aircraft can be carried out by multiplying the obtained value ΔTkin by the recovery factor Rv. This coefficient takes on the values ​​of 0.7, 0.8 or 0.9 depending on the considered area of ​​the aircraft surface. Due to uneven heating of the wing, conditions can be created under which a positive temperature is on the leading edge of the wing, and the temperature is negative on the rest of the wing. Under such conditions, there will be no icing on the leading edge of the wing, and icing will occur on the rest of the wing. In this case, the conditions for the air flow around the wing deteriorate significantly, its aerodynamics are disturbed, which can lead to loss of aircraft stability and create a prerequisite for an accident. Therefore, when assessing the conditions of icing in the case of flight at high speeds, it is necessary to take into account kinetic heating.
The following chart can be used for this purpose.
Here, along the abscissa axis, the aircraft flight speed is plotted, along the ordinate axis, the ambient air temperature, and the isolines in the figure field correspond to the temperature of the frontal parts of the aircraft. The order of calculations is shown by arrows. In addition, a dotted line is shown for zero values ​​of the temperature of the side surfaces of the aircraft with an average recovery factor kb = 0.8. This line can be used to assess the possibility of icing of the side surfaces when the temperature of the leading edge of the wing rises above 0°C.
To determine the icing conditions in the clouds at the aircraft flight level, the aircraft surface temperature is estimated according to the schedule from the air temperature at this altitude and the flight speed. Negative values ​​of the aircraft surface temperature indicate the possibility of its icing in the clouds, positive values ​​exclude icing.
The minimum flight speed at which icing cannot occur is also determined from this graph by moving from the value of the ambient air temperature T horizontally to the isoline of the zero temperature of the aircraft surface and further down to the abscissa axis.
Thus, an analysis of the factors affecting the intensity of icing shows that the possibility of ice deposition on an aircraft is determined primarily by meteorological conditions and flight speed. The icing of piston aircraft depends mainly on meteorological conditions, since the kinetic heating of such aircraft is negligible. At flight speeds above 600 km/h, icing is rarely observed; this is prevented by the kinetic heating of the aircraft surface. Supersonic aircraft are most susceptible to icing during takeoff, climb, descent, and approach.
When assessing the danger of flying in icing zones, it is necessary to take into account the length of the zones, and, consequently, the duration of the flight in them. In approximately 70% of cases, the flight in icing zones lasts no more than 10 minutes, however, there are individual cases when the duration of the flight in the icing zone is 50-60 minutes. Without the use of anti-icing agents, flight, even in the case of light icing, would be impossible.
Icing is especially dangerous for helicopters, as ice builds up faster on the blades of their propellers than on the surface of the aircraft. Icing of helicopters is observed both in clouds and in precipitation (in supercooled rain, drizzle, wet snow). The most intense is the icing of helicopter propellers. The intensity of their icing depends on the speed of rotation of the blades, the thickness of their profile, the water content of the clouds, the size of the drops, and the air temperature. Ice buildup on propellers is most likely in the temperature range from 0 to -10°C.

Aircraft icing forecast

Aircraft icing forecast includes the determination of synoptic conditions and the use of calculation methods.
Synoptic conditions favorable for icing are associated primarily with the development of frontal clouds. In frontal clouds, the probability of moderate and severe icing is several times greater than in intramass clouds (respectively, 51% in the front zone and 18% in a homogeneous air mass). The probability of heavy icing in the front zones is 18% on average. Heavy icing is usually observed in a relatively narrow strip 150-200 km wide near the front line near earth's surface. In the zone of active warm fronts, heavy icing is observed 300-350 km from the front line, its frequency is 19%.
Intramass cloudiness is characterized by more frequent cases of weak icing (82%). However, in intramass clouds of vertical development, both moderate and severe icing can be observed.
Studies have shown that the frequency of icing in the autumn-winter period is higher, and at different heights it is different. So, in winter, when flying at altitudes up to 3000 m, icing was observed in more than half of all cases, and at altitudes above 6000 m it was only 20%. In summer, up to altitudes of 3000 m, icing is observed very rarely, and during flights above 6000 m, the frequency of icing exceeded 60%. Such statistical data can be taken into account when analyzing the possibility of this atmospheric phenomenon hazardous to aviation.
In addition to the difference in cloud formation conditions (frontal, intramass), when forecasting icing, it is necessary to take into account the state and evolution of cloudiness, as well as the characteristics of the air mass.
The possibility of icing in the clouds is primarily related to the ambient temperature T - one of the factors that determine the water content of the cloud. Additional information about the possibility of icing is provided by data on the dew point deficit T-Ta and the nature of advection in the clouds. The probability of no icing depending on various combinations of air temperature T and dew point deficit Td can be estimated from the following data:

If the values ​​of T are within the indicated limits, and the value of T - Ta is less than the corresponding critical values, then it is possible to predict light icing in the zones of neutral advection or weak advection of cold (probability 75%), moderate icing - in zones of advection of cold (probability 80%) and in zones of developing cumulus clouds.
The water content of a cloud depends not only on temperature, but also on the nature of vertical movements in the clouds, which makes it possible to clarify the position of icing zones in the clouds and its intensity.
To predict icing, after establishing the presence of cloudiness, an analysis of the location of isotherms 0, -10 and -20 ° C should be carried out. Map analysis showed that icing occurs most frequently in the cloud (or precipitation) layers between these isotherms. The probability of icing at air temperatures below -20°C is low and does not exceed 10%. Icing of modern aircraft is most likely at temperatures below -12°C. However, it should be noted that icing is not excluded at lower temperatures. The frequency of icing in the cold period is twice as high as in the warm period. When predicting icing for aircraft with jet engines, the kinetic heating of their surface is also taken into account according to the graph presented above. To predict icing, it is necessary to determine the ambient air temperature T, which corresponds to an aircraft surface temperature of 0°C when flying at a given speed V. The possibility of icing an aircraft flying at a speed V is predicted in the layers above the isotherm T.
The presence of aerological data allows in operational practice to use the ratio proposed by Godske and linking the dew point deficit with the saturation temperature above ice Tn.l: Tn.l = -8(T-Td) for icing forecasting.
A curve of Tn values ​​is plotted on the aerological chart. l, defined with an accuracy of tenths of a degree, and the layers are distinguished in which Г^Г, l. In these layers, the possibility of aircraft icing is predicted.
The intensity of icing is estimated using the following rules:
1) at T - Ta = 0°C, icing in AB clouds (in the form of frost) will be from weak to moderate;
in St, Sc and Cu (in the form pure ice) - moderate and strong;
2) at T-Ta > 0°C, icing is unlikely in pure water clouds, in mixed clouds - mostly weak, in the form of frost.
The application of this method is expedient in assessing the conditions of icing in the lower two-kilometer layer of the atmosphere in cases of well-developed cloud systems with a small dew point deficit.
The intensity of aircraft icing in the presence of aerological data can be determined from the nomogram.


It reflects the dependence of the icing conditions on two parameters that are easily determined in practice - the height of the lower boundary of the clouds Hn0 and the temperature Tn0 on it. For high-speed aircraft at a positive temperature of the surface of the aircraft, a correction for kinetic heating is introduced (see the table above), the negative temperature of the ambient air is determined, which corresponds to the zero surface temperature; then the height of this isotherm is found. The obtained data are used instead of the values ​​Tngo and Nngo.
It is reasonable to use the chart for icing forecast only in the presence of fronts or intramass clouds of high vertical thickness (about 1000 m for St, Sc and more than 600 m for Ac).
Moderate and heavy icing is indicated in a cloudy zone up to 400 km wide in front of a warm and behind a cold front near the earth's surface and up to 200 km wide behind a warm and ahead of a cold front. The justification of calculations according to this graph is 80% and can be improved by taking into account the signs of cloud evolution described below.
The front becomes sharper if it is located in a well-formed surface pressure baric trough; temperature contrast in the front zone on AT850 more than 7°C per 600 km (recurrence more than 65% of cases); there is a propagation of the pressure drop to the postfrontal region or an excess of the absolute values ​​of the prefrontal pressure drop over the increase in pressure behind the front.
The front (and frontal clouds) are blurred if the baric trough in the surface pressure field is weakly expressed, the isobars approach rectilinear ones; temperature contrast in the front zone on AT850 is less than 7°С per 600 km (recurrence of 70% of cases); the pressure increase extends to the prefrontal region, or the absolute values ​​of the postfrontal pressure increase exceed the values ​​of the pressure drop ahead of the front; there is a continuous precipitation of moderate intensity in the front zone.
The evolution of cloudiness can also be judged by the values ​​of T-Td at a given level or in the sounded layer: a decrease in the deficit to 0-1 °C indicates the development of clouds, an increase in the deficit to 4 °C or more indicates blurring.
To objectify signs of cloud evolution, K. G. Abramovich and I. A. Gorlach investigated the possibility of using aerological data and information about diagnostic vertical currents. The results of the statistical analysis showed that the local development or erosion of clouds is well characterized by the previous 12-hour changes in the area of ​​the forecast point of the following three parameters: vertical currents at AT700, bt7oo, sums of dew point deficits at AT850 and AT700, and total atmospheric moisture content δW*. The last parameter is the amount of water vapor in an air column with a cross section of 1 cm2. The calculation of W* is carried out taking into account the data on the mass fraction of water vapor q obtained from the results of radio sounding of the atmosphere or taken from the dew point curve built on the aerological diagram.
Having determined the 12-hour changes in the sum of dew point deficits, total moisture content and vertical currents, the local changes in the cloudiness state are specified using a nomogram.

The procedure for performing calculations is shown by arrows.
It should be borne in mind that the local prediction of cloud evolution allows one to estimate only changes in the intensity of icing. The use of these data should be preceded by a forecast of icing in stratus frontal clouds using the following refinements:
1. With the development of clouds (keeping them unchanged) - in case of falling into area I, moderate to heavy icing should be predicted, when falling into area II - weak to moderate icing.
2. When clouds are washed out - in case of falling into area I, light to moderate icing is predicted, when falling into area II - no icing or slight deposition of ice on the aircraft.
To assess the evolution of frontal clouds, it is also advisable to use successive satellite images, which can serve to refine the frontal analysis on the synoptic map and to determine the horizontal extent of the frontal cloud system and its change in time.
The possibility of moderate or severe icing for intra-mass positions can be concluded based on the forecast of the shape of clouds and taking into account the water content and intensity of icing when flying in them.
It is also useful to take into account information on the intensity of icing obtained from regular aircraft.
The presence of aerological data makes it possible to determine the lower boundary of the icing zone using a special ruler (or nomogram) (a).
The temperature is plotted along the horizontal axis on the scale of the aerological diagram, and the aircraft flight speed (km/h) is plotted on the vertical axis on the pressure scale. A curve of -ΔТkin values ​​is plotted, reflecting the change in the kinetic heating of the aircraft surface during humid air when changing airspeed. To determine the lower boundary of the icing zone, it is necessary to align the right edge of the ruler with the 0°C isotherm on the aerological diagram, on which the stratification curve T (b) is plotted. Then, along the isobar corresponding to a given flight speed, they shift to the left to the -ΔТkin curve drawn on the ruler (point A1). From point A1 they are displaced along the isotherm until they intersect with the stratification curve. The resulting point A2 will indicate the level (on the pressure scale) from which icing is observed.
Figure (b) also shows an example of determining the minimum flight speed, excluding the possibility of icing. To do this, point B1 on the stratification curve T is determined at a given flight altitude, then it is shifted along the isotherm to point B2. The minimum flight speed at which icing will not be observed is numerically equal to the pressure value at point B2.
To assess the intensity of icing, taking into account the stratification of the air mass, you can use the nomogram:
On the horizontal axis (to the left) on the nomogram is the temperature Tngo, on the vertical axis (down) - the intensity of icing / (mm / min). The curves in the upper left square are isolines of the vertical temperature gradient, the radial straight lines in the upper right square are lines of equal vertical thickness of the cloud layer (in hundreds of meters), the inclined lines in the lower square are lines of equal flight speeds (km/h). (Since the end is rarely read, let's assume that Pi=5) The order of the calculations is shown by arrows. To determine the maximum intensity of icing, the thickness of the clouds is estimated on the upper scale indicated by the numbers in the circles. The justification of calculations according to the nomogram is 85-90%.

It is installed on the edge of roofs, in drains and gutters, in places where snow and ice can accumulate. During operation of the heating cable, melt water passes freely through all elements of the drainage system to the ground. Freezing and destruction of the elements of the roof, the facade of the building and the drainage system itself does not occur in this case.

For the correct operation of the system, it is necessary:

• Determine the most problematic areas on the roof and in the drainage system;
• Make a correct calculation of the power of the heating system;
• Use a special heating cable of the required power and length (for outdoor installation, resistant to ultraviolet radiation);
• Select fastening elements depending on the material and construction of the roof and gutter system;
• Select the necessary heating control equipment.

Installation of anti-icing system on roofs.

When calculating the required capacity of a snow and ice melting system for a roof, it is important to consider the type, construction of the roof, and local weather conditions.

Conventionally, roofs can be divided into three types:

1. "Cold roof". A roof with good insulation and low heat loss through its surface. On such a roof, ice usually forms only when the snow melts in the sun, while the minimum melting temperature is not lower than -5 ° C. When calculating the required power of the anti-icing system for such roofs, the minimum power of the heating cable will be sufficient (250 - 350 W/m² for the roof and 30-40 W/m for the gutters).

2. "Warm roof". Roof with poor insulation. On such roofs, the snow melts at sufficiently low air temperatures, then the water flows down to the cold edge and to the gutters, where it freezes. The minimum melting temperature is not lower than -10 °C. Most of the roofs of administrative buildings with an attic belong to this type. When calculating the anti-icing system for "warm roofs", the power of the heating cable at the edge of the roof and in the gutters should be increased. This will ensure the efficiency of the system even at low temperatures. (Fig. 1).

3. "Hot roof". A roof with poor thermal insulation, in which the attic is often used for technical purposes or as living space. On such roofs, snow melts even at low air temperatures (below -10 °C). For "hot roofs", in addition to using a heating cable with high power, it is desirable to use a weather station or thermostat to reduce energy costs.

If the cable is laid on a roof with a soft covering (eg roofing felt), the maximum output of the heating cable must not exceed 20 W/m.

Installation area	"Cold Roof"	"Warm Roof"	"Hot Roof"	Cable power
Roof surface, valley	250 – 350 W/m²	300 – 400 W/m²		15 – 40 W/m
Gutters, plastic gutters
Gutters, metal gutters, diameter 20 cm or more	30 – 40 W/m	50 – 70 W/m
Gutters, wooden gutters	30 – 40 W/m

Installation of an anti-icing system in gutters and gutters.

When calculating the anti-icing system, it is necessary to take into account:

1. Drainpipe and gutter diameter. When the diameter of the vertical downpipe is less than 10 cm, it is recommended to install one line of heating cable.
2. The material from which the drain is made. (See table).

In most cases, the heating cable is laid in two lines: in the gutters with the help of special plates, in the gutters with the help of a pigtail (a cable with special fasteners that fix the cable). Fastenings provide reliable fixation and do not allow heating cable lines to cross.

If there is a possibility of clogging the gutters or drains with foliage, needles, etc. It is recommended to use a self-regulating heating cable. Since a conventional resistive heating cable can overheat in places of clogging and fail over time.

Vertical downpipes are most susceptible to freezing during the winter. In long pipes (15 m or more), due to air convection, hypothermia of the lower part of the pipe is possible. To avoid freezing, additional heating cable lines are installed (power increases) in the lower part of the pipe at a length of 0.5 - 1 m (Fig. 2).

It is necessary to eliminate the formation of icicles and frost on the edge of the roof and prevent the drainage system from freezing. The length of the roof edge is 10 m, thermal insulation does not completely eliminate heat loss (warm roof). The length of the gutter is 10 m, the two drains are 6 m long. The gutter and drain are made of plastic, the diameter of the drains is 10 cm, the width of the gutter is 20 cm.

Solution:

In this case, the option with separate heating of the roof edge (Fig. 3) and the gutter system is optimal.

Fig.3

Calculation of the heating system for the roof:

1. According to the table, we determine the power required to heat the edge of the "warm roof" per 1 square meter – 300 - 400 W.
2. Determine the total heating area ( S): (heating must be carried out along the entire length of the roof (10 m), depending on the slope of the roof, we determine the width of the heating section, in our case - 50 cm). S = 10m × 0.5m = 5 m²
3. We select a heating cable, the power and length of which will meet the requirements specified above. The minimum cable power will be:

5 m² × 300 W = 1500 W

Option 1. Heating cable Nexans TXLP/1, 28W/m, 1800W, 64.2m.

In this case, the power (W) per 1 m² will be:

where Wtot. - full power of the heating cable, S - number of heated square meters.

(this value satisfies the conditions of the table)

The laying step (N) of the cable will be:

whereS- heating area,L- length of cable.

(For convenience during installation, it is possible to lay the heating cable in 8 cm increments, and mount a small cable residue on the free area of ​​the roof.)

Option 2: Hemstedt DAS 55 heating cable (1650 W, 55 m). According to the formulas indicated above, we determine the Required parameters.

(Power per 1 m² = 330 W, laying step = 9 cm)

Option 3: Heating cable Exxon Elite 2-23, 1630 W, 70 m

(Power per 1 m² = 326 W, laying step = 7 cm)

Note. In addition, it is possible to use self-regulating cables and cut-off resistive cables.

Calculation of the heating system for gutters:

1. According to the table, we determine the required power for the drain:

W= 40 – 50 W/m

1. We determine the required length of the heating cable based on the conditions indicated above.

Since the diameter of the drain is 10 cm, the heating cable must be installed in one core L v. = 6 + 6 = 12 m

For a gutter with a width of 20 cm, we select the cable with the calculation of laying in two cores.

L well. = 10 × 2 = 20 m.

Option 1: Self-regulating heating cable.

For each drain we use 6 meters of cable with a power of 40 W / m, and in the gutter 20 m of a cable with a power of 20 W / m, fastened every 40 cm with mounting plates.

Option 2: Heating cable Hemstedt Das 20 (for laying in a gutter in two cores) and 6 m of self-regulating cable 40 W/m (for laying in each drain.)

Task: It is necessary to prevent freezing of melt water in the drain.(The length of the drain is 15 m, the material is metal, the diameter is 20 cm, the water is drained from the “cold roof”)

In addition to heating the vertical pipe, it is necessary to provide heating of a horizontal drainage system(Fig. 4), into which melt and rain water flows from the drain and from the site with paving slabs in which it is located. The drain is 6.5 m long and 15 cm wide.

Solution:

1. Based on the parameters specified in the condition, according to the table, we determine the required power per 1 r.m. W = 30 - 40 W / m.
2. Determine the length of the heating cable. (For the diameter of the drain and drainage specified in the condition, it is necessary to lay the heating cable in 2 lines) L \u003d (15 + 6.5) × 2 \u003d 43 meters.
3. We select a heating cable of the appropriate length and power.

Option 1: Nexans TXLP/1 1280W, 45.7m. The cable is laid in two lines with a pigtail and connected in a convenient place (to the thermostat or to the weather station). The rest of the cable (2.7 meters) can be laid in the drain neck of the drain, or the heating section at the end of the drain can be extended.

Option 2 : Exxon-Elite 23, 995W, 43.6m.

Option 3: Nexans Defrost Snow TXLP/2R 1270W, 45.4m.

Option 4: Self-regulating or cut-off resistance heating cables.

Air element…. Boundless space, resilient air, deep blueness and snow-white wool of clouds. Great:-). All this is present there, at the top, in fact. However, there is something else, which, perhaps, cannot be attributed to the category of delights ...

Clouds, it turns out, are far from always snow-white, and there is enough grayness in the sky and often all sorts of slush and wet rubbish, besides cold (even very :-)) and therefore unpleasant.

Unpleasant, however, not for a person (everything is clear with him :-)), but for his aircraft. The beauty of the sky, I think, is indifferent to this machine, but the cold and, so to speak, excess heat, the speed and impact of atmospheric currents and, in the end, moisture in its various manifestations - this is what the aircraft has to work in, and what it , like any machine, makes work far from always comfortable.

Take, for example, the first and last of this list. Water and cold. The derivative of this combination is ordinary, well-known ice. I think that any person, including those who are not knowledgeable in aviation matters, will immediately say that ice is bad for an aircraft. Both on the ground and in the air.

On earth it is icing taxiways and runways. Rubber wheels are not friendly with ice, it's clear to everyone. And although the take-off run on an icy runway (or taxiway) is not the most pleasant activity (and a whole topic for discussion :-)), but in this case the aircraft is at least on solid ground.

And in the air, everything is somewhat more complicated. Here in the zone special attention there are two very important things for any aircraft: aerodynamic characteristics(moreover, both the airframe and the turbojet compressor, and for a propeller-driven aircraft and helicopter, also the characteristics of the propeller blades) and, of course, weight.

Where does the ice in the air come from? In general, everything is quite simple :-). Moisture is present in the atmosphere, as well as negative temperatures.

However, depending on the external conditions, the ice can have a different structure (and hence, strength and adhesion to the aircraft skin, respectively), as well as the shape that it takes when settling on the surface of structural elements.

During flight, ice can appear on the surface of the airframe in three ways. Starting from the end :-), we will name two of them as less dangerous and, so to speak, unproductive (in practice).

First type is the so-called sublimation icing . In this case, sublimation of water vapor occurs on the surface of the skin of the aircraft, that is, their transformation into ice, bypassing the liquid phase (water phase). This usually happens when air masses, saturated with moisture contact with strongly cooled surfaces (in the absence of clouds).

This, for example, is possible if there is already ice on the surface (that is, the surface temperature is low), or if the aircraft quickly loses altitude, moving from colder upper layers of the atmosphere to warmer lower ones, thereby maintaining a low skin temperature. The ice crystals formed in this case do not adhere firmly to the surface and are quickly blown away by the oncoming flow.

Second type- the so-called dry icing . It's, quite simply, subsidence already ready ice, snow or hail during the flight of an aircraft through crystalline clouds, which are cooled so much that they contain moisture in a frozen form (that is, already formed crystals 🙂).

Such ice usually does not stay on the surface (it blows away immediately) and does no harm (unless, of course, it clogs any functional holes of a complex configuration). It can remain on the skin if it has a sufficiently high temperature, as a result of which the ice crystal has time to melt, and then freeze again upon contact with the ice already there.

However, this is, perhaps, a special case of another, third type possible icing. This species is the most common, and, in itself, the most dangerous to exploit. aircraft. Its essence is the freezing on the surface of the skin of drops of moisture contained in a cloud or in rain, and the water that makes up these drops is in supercooled state.

As you know, ice is one of the aggregate states of matter, in this case water. It is obtained through the transition of water to a solid state, that is, its crystallization. Everyone knows the freezing point of water - 0 ° C. However, this is not quite “that temperature”. This so-called equilibrium crystallization temperature(otherwise theoretical).

At this temperature, liquid water and solid ice exist in equilibrium and can exist indefinitely.

In order for water to still freeze, that is, to crystallize, additional energy is needed to form crystallization centers(otherwise they are also called embryos). Indeed, in order for them to turn out (spontaneously, without external influence), it is necessary to bring the molecules of the substance closer to a certain distance, that is, to overcome the elastic forces.

This energy is taken due to the additional cooling of the liquid (in our case, water), in other words, its supercooling. That is, the water is already becoming supercooled with a temperature significantly below zero.

Now the formation of crystallization centers and, ultimately, its transformation into ice, can occur either spontaneously (at a certain temperature, the molecules will interact), or in the presence of impurities in the water (any grain of dust, interacting with the molecules, can itself become a crystallization center ), or under some external influence, for example, shaking (molecules also enter into interaction).

Thus, water cooled to a certain temperature is in a kind of unstable state, otherwise called metastable. In this state, it can be for quite a long time, until the temperature changes or there is no external influence.

For example. You can store a container of purified water (without impurities) in an unfrozen state in the freezer compartment of the refrigerator for quite a long time, but it is worth shaking this water, as it immediately begins to crystallize. The video shows it well.

And now we will return from theoretical digression to our practice. supercooled water- this is exactly the substance that can be in the cloud. After all, a cloud is essentially a water aerosol. The water droplets contained in it can have sizes from several microns to tens and even hundreds of microns (if the cloud is rainy). The supercooled droplets are typically 5 µm to 75 µm in size.

The smaller the volume of supercooled water in size, the more difficult is the spontaneous formation of crystallization centers in it. This directly applies to small drops of water in the cloud. Just for this reason, in the so-called drop-liquid clouds, even at a sufficiently low temperature, it is water, and not ice.

It is these supercooled water droplets that, when colliding with aircraft structural elements (that is, experiencing external influences), quickly crystallize and turn into ice. Further, new ones are layered on top of these frozen drops, and as a result we have icing in its purest form :-).

Most often, supercooled water drops are found in clouds of two types: stratus ( stratus cloud or ST) and cumulus ( Cumulus clouds or Cu), as well as in their varieties.

On average, the probability of icing exists at air temperatures from 0 ° C to -20 ° C, and the greatest intensity is achieved in the range from 0 ° C to - 10 ° C. Although cases of icing are known even at -67 ° C.

Icing(at the inlet) can occur even at a temperature of + 5 ° C.. + 10 ° C, that is, the engines are more vulnerable here. This is facilitated by the expansion of air (due to the acceleration of the flow) in the air intake channel, resulting in a decrease in temperature, condensation of moisture, followed by its freezing.

Slight icing of the turbofan compressor.

Compressor icing.

As a result, it is likely to reduce the efficiency and stability of the compressor and the entire engine as a whole. In addition, if pieces of ice get on the rotating blades, their damage cannot be ruled out.

Severe icing of the compressor (engine SAM146).

For a known phenomenon, carburetor icing , which is facilitated by the evaporation of fuel in its channels, accompanied by general cooling. In this case, the outside air temperature can be positive, up to + 10 ° C. This is fraught with freezing (and hence narrowing) of the fuel-air channels, freezing of the throttle valve with the loss of its mobility, which ultimately affects the performance of the entire aircraft engine.

Carburetor icing.

The rate (intensity) of ice formation, depending on external conditions, can be different. It depends on the flight speed, air temperature, on the size of the drops and on such a parameter as cloud water content. This is the amount of water in grams per unit of cloud volume (usually a cubic meter).

In hydrometeorology icing intensity It is customary to measure in millimeters per minute (mm/min). The gradation here is as follows: light icing - up to 0.5 mm / min; from 0.5 to 1.0 mm / min - moderate; from 1.0 to 1.5 mm/min - strong and over 1.5 mm/min - very strong icing.

It is clear that with an increase in flight speed, the intensity of icing will increase, but there is a limit to this, because at a sufficiently high speed, such a factor as kinetic heating . Interacting with air molecules, the skin of an aircraft can heat up to quite tangible values.

You can give some approximate (average) calculated data on kinetic heating (true for dry air :-)). At a flight speed of about 360 km / h, the heating will be 5 ° C, at 720 km / h - 20 ° C, at 900 km / h - about 31 ° C, at 1200 km / h - 61 ° C, at 2400 km / h - about 240 ° C.

However, one must understand that these are data for dry air (more precisely, for flight outside the clouds). When wet, the heat is reduced by about half. In addition, the magnitude of the heating of the side surfaces is only two-thirds of the magnitude of the heating of the frontal ones.

That is, kinetic heating at certain flight speeds must be taken into account to assess the possibility of icing, but in reality it is more relevant for high-speed aircraft (somewhere from 500 km / h). It is clear that when the skin is heated, about no icing do not have to speak.

But even supersonic aircraft do not always fly at high speeds. At certain stages of the flight, they may well be subject to the phenomenon of ice formation, and the most interesting thing is that they are more vulnerable in this regard.

And that's why:-). To study the issue of icing of a single profile, such a concept as "capture zone" is introduced. When flowing around such a profile with a flow that contains supercooled drops, this flow goes around it, following the curvature of the profile. However, in this case, droplets with a larger mass, as a result of inertia, cannot sharply change the trajectory of their movement and follow the flow. They crash into the profile and freeze on it.

Capture zone L1 and protection zone L. S - spreading zones.

That is, some of the drops that are at a sufficient distance from the profile will be able to go around it, and some will not. This zone, on which supercooled drops fall, is called the capture zone. In this case, the drops, depending on their size, have the ability to spread after impact. Therefore, more droplet spreading zones.

As a result, we get zone L, the so-called "protection zone". This is the area of ​​the wing profile that needs to be protected from icing in one way or another. The size of the capture zone depends on the flight speed. The higher it is, the larger the zone. In addition, its size increases with increasing droplet size.

And most importantly, which is relevant for high-speed aircraft, the capture zone is the larger, the thinner the profile. Indeed, on such a profile, the drop does not need to change the flight path much and fight with inertia. It can fly further, thereby increasing the capture area.

Enlargement of the capture area for a thin wing.

As a result, for a thin wing with a sharp edge (and this is a high-speed aircraft 🙂), up to 90% of the droplets contained in the oncoming flow can be captured. And for a relatively thick profile, and even at low flight speeds, this figure drops to 15%. It turns out that an aircraft designed for supersonic flight is in a much worse position at low speeds than a subsonic aircraft.

In practice, usually the size of the protection zone does not exceed 15% of the profile chord length. However, there are cases when the aircraft is exposed to particularly large supercooled droplets (more than 200 microns) or falls under the so-called freezing rain(the drops are even larger in it).

In this case, the protection zone can increase significantly (mainly due to the spreading of drops along the wing profile), up to 80% of the surface. Here, moreover, much depends on the profile itself (an example of this is severe flight accidents with an aircraft ATR-72- more on that below).

Ice deposits appearing on aircraft structural elements may differ in type and nature depending on the flight conditions and mode, cloud composition, and air temperature. There are three types of possible deposits: frost, frost and ice.

Frost- the result of sublimation of water vapor, is a plaque of fine crystalline structure. It does not hold well on the surface, easily separates and is blown away by the flow.

frost. It is formed when flying through clouds with a temperature much lower than -10 ° C. It is a coarse-grained formation. Here, small droplets freeze almost immediately after hitting the surface. Quite easily blown away by the oncoming flow.

Proper ice. It is of three types. First is clear ice. It is formed when flying through clouds with supercooled drops or under supercooled rain in the most dangerous temperature range from 0 ° C to -10 ° C. This ice firmly adheres to the surface, repeating its curvature and not strongly distorting it until its thickness small. With increasing thickness, it becomes dangerous.

Second - matte(or mixed) ice. Most dangerous view icing. Temperature conditions from -6 ° C to -10 ° C. Formed when flying through mixed clouds. At the same time, large spreading and small non-spreading drops, crystals, snowflakes are frozen into a single mass. All this mass has a rough, bumpy structure, which greatly impairs the aerodynamics of the bearing surfaces.

Third - white porous, groats ice. Formed at temperatures below -10 ° C as a result of freezing of small drops. Due to porosity, it does not adhere tightly to the surface. As the thickness increases, it becomes dangerous.

From the point of view of aerodynamics, the most sensitive, probably, is still icing leading edge of the wing and tail. The zone of protection described above becomes vulnerable here. In this zone, the growing ice can form several characteristic shapes.

First- it profile shape (or wedge-shaped). When deposited, ice repeats the shape of that part of the structure of the aircraft on which it is located. Formed at temperatures below -20 ° C in clouds with low water content and small drops. It adheres firmly to the surface, but is usually of little danger due to the fact that it does not greatly distort its shape.

Second form – trough-shaped. It can form for two reasons. First: if the temperature on the leading edge of the wing toe is above zero (for example, due to kinetic heating), and on the other surfaces it is negative. This variant of the form is also called horn-shaped.

Forms of ice formation on the profile toe. a - profile; b - trough-shaped; in - horn-shaped; g - intermediate.

That is, due to the relatively high temperature of the profile toe, not all of the water freezes, and ice formations that really look like horns grow along the edges of the toe at the top and bottom. The ice here is rough and bumpy. It greatly changes the curvature of the profile and, thereby, affects its aerodynamics.

The second reason is the interaction of the profile with large supercooled droplets (size > 20 μm) in clouds with high water content at relatively high temperature(-5 ° С…-8 ° С). In this case, the droplets, colliding with the leading edge of the profile toe, due to their size do not have time to freeze immediately, but spread along the toe above and below and freeze there, layering on each other.

The result is something like a gutter with high edges. Such ice adheres firmly to the surface, has a rough structure and, due to its shape, also greatly changes the aerodynamics of the profile.

There are also intermediate (mixed or chaotic) forms icing. Formed in the protection zone when flying through mixed clouds or precipitation. In this case, the ice surface can be of the most diverse curvature and roughness, which has an extremely negative effect on the airfoil flow. However, this type of ice does not hold well on the wing surface and is easily blown away by the oncoming air flow.

The most dangerous types of icing from the point of view of changes in aerodynamic characteristics and the most common types of icing according to existing practice are trough-shaped and horn-shaped.

In general, during flight through an area where there are conditions for icing, ice usually forms on all frontal surfaces of the aircraft. The share of the wing and tail in this regard is about 75%, and it is with this that the majority of severe flight accidents due to icing that have occurred in the practice of world aviation flights are connected.

The main reason here is a significant deterioration in the bearing properties of aerodynamic surfaces, an increase in profile drag.

Change in profile characteristics as a result of icing (quality and lift coefficient).

Ice growths in the form of the aforementioned horns, grooves or any other ice deposits can completely change the picture of the flow around the wing profile or plumage. The profile resistance increases, the flow becomes turbulent, it stalls in many places, the magnitude of the lifting force decreases significantly, the magnitude of critical angle of attack, the weight of the aircraft increases. Stalling and stalling can occur even at very low angles of attack.

An example of such a development of events is the well-known crash of the ATR -72-212 aircraft (registration number N401AM, flight 4184) of American Eagle Airlines, which occurred in the USA (Roselawn, Indiana) October 31, 1994.

In this case, two things coincided completely unsuccessfully: a rather long stay of the aircraft in the waiting area in the clouds with the presence of especially large supercooled water drops and features (or rather disadvantages) aerodynamics and structures of this type of aircraft, which contributed to the accumulation of ice on the upper surface of the wing in a special form (roller or horn), and in places that, in principle (on other aircraft), are little affected by this (this is precisely the case of a significant increase in the protection zone mentioned above) .

American Eagle Airlines ATR-72-212 aircraft (Florida, USA, February 2011). Similar to the crashed 10/31/94, Roselawn, Indiana.

The crew used the onboard anti-icing system, however, its design capabilities did not correspond to the conditions of the resulting icing. An ice roll formed behind the wing area served by this system. The pilots had no information about this, just as they did not have special instructions for actions on this type of aircraft in such icing conditions. These instructions (rather specific) have simply not yet been developed.

Eventually icing prepared the conditions for the accident, and the actions of the crew (wrong in this case - retracting the flaps with an increase in the angle of attack, plus low speed)) were the impetus for its start.

There was turbulence and flow stall, the aircraft fell on the right wing, while entering into rotation around the longitudinal axis due to the fact that the right aileron was “sucked” upward by the vortex formed as a result of flow separation and turbulence in the region of the trailing edge of the wing and the aileron itself.

At the same time, the loads on the controls were very high, the crew could not cope with the car, more precisely, they did not have enough height. As a result of the disaster, all the people on board - 64 people - died.

You can watch a video of this incident (I haven't posted it on the site yet :-)) in the National Geographic version in Russian. Interesting!

Approximately according to the same scenario, a flight accident with an airplane developed ATR-72-201(registration number VP-BYZ) of the company Utair crashed on April 2, 2012 immediately after takeoff from Roschino airport (Tyumen).

Flap retraction with autopilot on + low speed = aircraft stall. The reason for this was icing the upper surface of the wing, and in this case it was formed on the ground. This so-called ground icing.

Before takeoff, the plane stood overnight in the open air in the parking lot at low negative temperatures (0 ° C ... - 6 ° C). During this time, precipitation in the form of rain and sleet was repeatedly observed. Under such conditions, the formation of ice on the surfaces of the wing was almost inevitable. However, before the flight, special treatment to remove ground icing and prevent further ice formation (in flight) was not carried out.

Aircraft ATR-72-201 (reg. VP-BYZ). This board crashed on 04/02/2012 near Tyumen.

The result is sad. The aircraft, in accordance with its aerodynamic features, responded to the change in the flow around the wing immediately after the flaps were retracted. There was a stall, first on one wing, then on the other, a sharp loss of altitude and a collision with the ground. Moreover, the crew probably did not even understand what was happening with the aircraft.

Ground icing often very intense (depending on weather conditions) and can cover not only the leading edges and frontal surfaces, as in flight, but the entire upper surface of the wing, plumage and fuselage. At the same time, due to the long-term presence of a strong wind in one direction, it can be asymmetrical.

There are known cases of freezing during the stay of ice in the slotted spaces of the controls on the wing and tail. This can lead to incorrect operation of the control system, which is very dangerous, especially during takeoff.

Such a type of ground icing as "fuel ice" is interesting. An aircraft that makes long flights at high altitudes stays in the area of ​​low temperatures for a long time (up to -65 ° C). At the same time, large volumes of fuel in the fuel tanks are strongly cooled (down to -20 ° C).

After landing, the fuel does not have time to heat up quickly (especially since it is isolated from the atmosphere), therefore, moisture condenses on the surface of the skin in the area of ​​\u200b\u200bthe fuel tanks (and this is very often the surface of the wing), which then freezes due to the low surface temperature. This phenomenon can occur at a positive air temperature in the parking lot. And the ice that is formed is very transparent, and often it can be detected only by touch.

Departure without removing traces of ground icing in accordance with all governing documents in the aviation of any state is prohibited. Although sometimes one wants to say that "laws are created in order to break them." Video…..

WITH icing aircraft is associated with such an unpleasant phenomenon as aerodynamic "peck" . Its essence is that the aircraft during the flight quite sharply and almost always unexpectedly for the crew lowers its nose and goes into a dive. Moreover, it can be quite difficult for the crew to cope with this phenomenon and transfer the aircraft to level flight, sometimes it is impossible. The plane does not obey the rudders. There were no such accidents without catastrophes.

This phenomenon occurs mainly during landing approach, when the aircraft is descending and the wing mechanization is in landing configuration, that is, the flaps are extended (most often to the maximum angle). And the reason for it is stabilizer icing.

The stabilizer, performing its functions to ensure longitudinal stability and controllability, usually works at negative angles of attack. At the same time, it creates, so to speak, a negative lift force :-), that is, an aerodynamic force similar to the lift force of a wing, only directed downward.

If it is present, a moment for cabling is created. It works in opposition diving moment(compensates for it), created by the lifting force of the wing, which, moreover, after the release of the flaps, shifts in their direction, further increasing the diving moment. The moments are compensated - the aircraft is stable.

TU-154M. Scheme of forces and moments with released mechanization. The plane is in balance. (Practical aerodynamics TU-154M).

However, it must be understood that as a result of flap extension, the flow slope behind the wing (downward) increases, and, accordingly, the flow slope of the flow around the stabilizer increases, that is, the negative angle of attack increases.

If at the same time ice growths appear on the surface of the stabilizer (lower) (something like the horns or gutters discussed above, for example), then due to a change in the curvature of the profile, the critical angle of attack of the stabilizer can become very small.

Change (deterioration) of the characteristics of the stabilizer when it is iced (TU-154M).

Therefore, the angle of attack of the oncoming flow (even more beveled by the flaps, moreover) can easily exceed the critical values ​​​​for an icy stabilizer. As a result, a stall occurs (lower surface), the aerodynamic force of the stabilizer is greatly reduced and, accordingly, the pitching moment is reduced.

As a result, the aircraft sharply lowers its nose and goes into a dive. The phenomenon is very unpleasant ... However, it is known, and usually in the Flight Manual of each of this type of the aircraft is described with a list of the actions of the crew necessary in this case. Nevertheless, it still cannot do without severe flight accidents.

In this way icing- a thing, to put it mildly, very unpleasant, and it goes without saying that there are ways to deal with it, or at least a search for ways to overcome it painlessly. One of the most common ways is (PIC). All modern aircraft cannot do without it to one degree or another.

The action of such technical systems is aimed at preventing the formation of ice on the surfaces of the aircraft structure or eliminating the consequences of icing that has already begun (which is more common), that is, removing ice in one way or another.

In principle, an aircraft can freeze anywhere on its surface, and the ice that forms there is completely out of place :-), regardless of the degree of danger it creates for the aircraft. Therefore, it would be nice to remove all this ice. However, to make a solid POS instead of aircraft skin (and at the same time the engine inlet) would still be unwise :-), impractical, and technically impossible (at least for now :-)).

Therefore, the areas of the most probable and most intensive ice formation, as well as those requiring special attention from the point of view of flight safety, become the places for the possible location of the actuating elements of the POS.

Scheme of the location of anti-icing equipment on an IL-76 aircraft. 1 - electric heating of angle of attack sensors; 2 - icing alarm sensors; 3 - headlight for illuminating the socks of the air intakes; 4 - heating of air pressure receivers; 5 - POS of the lantern glasses (electric, liquid-mechanical and air-thermal); 6.7 - POS engines (cook and VNA); 8 - POS socks air intakes; 9 - POS of the leading edge of the wing (slats); 10 - POS plumage; 11 - a headlight for illuminating the socks of the plumage.

These are the frontal surfaces of the wing and tail (leading edges), the shells of the engine air intakes, the inlet guide vanes of the engines, as well as some sensors (for example, angle of attack and slip sensors, temperature (air) sensors), antennas and air pressure receivers.

Anti-icing systems are divided into mechanical, physicochemical and thermal . In addition, according to the principle of action, they are continuous and cyclic . Continuous POS after switching on work without stopping and do not allow the formation of ice on the protected surfaces. And cyclic POS exert their protective effect in separate cycles, while freeing the surface from the ice formed during the break.

Mechanical anti-icing systems These are just systems of cyclic action. The cycle of their work is divided into three parts: the formation of a layer of ice of a certain thickness (about 4 mm), then the destruction of the integrity of this layer (or a decrease in its adhesion to the skin) and, finally, the removal of ice under the action of a velocity pressure.

The principle of operation of the pneumomechanical system.

Structurally, they are made in the form of a special protector made of thin materials (something like rubber) with cameras built into it and divided into several sections. This protector is placed on the protected surfaces. Usually these are the socks of the wing and tail. Cameras can be located both along the wing span and across it.

When the system is put into operation in the chambers of certain sections in different time air is supplied under pressure, taken from the engine (turbojet engine, or from a compressor driven by the engine). The pressure is about 120-130 kPa. The surface "swells", deforms, the ice loses its integral structure and is blown away by the oncoming flow. After switching off, the air is sucked off by a special injector into the atmosphere.

The POS of this principle of operation is one of the first to be used in aviation. However, it cannot be installed on modern high-speed aircraft (max. V up to 600 km / h), because under the action of the velocity pressure at high speeds, tread deformation and, as a result, a change in the shape of the profile, which, of course, is unacceptable.

B-17 bomber with a mechanical anti-icing system. Rubber protectors (dark in color) are visible on the wing and tail.

The wing leading edge of a Bombardier Dash 8 Q400 equipped with a pneumatic anti-icing nose. Longitudinal pneumatic chambers are visible.

Aircraft Bombardier Dash 8 Q400.

At the same time, the transverse chambers in terms of the aerodynamic resistance they create are in a more advantageous position than the longitudinal ones (this is understandable 🙂). In general, an increase in profile resistance (up to 110% in working condition, up to 10% in non-working condition) is one of the main disadvantages of such a system.

In addition, the protectors are short-lived and subject to destructive effects. environment(moisture, temperature changes, sunlight) and various types of dynamic loads. And the main advantage is simplicity and low weight, plus a relatively small air consumption.

Mechanical systems of cyclic action can also include electropulse POS . The basis of this system is special electrocoils-solenoids without cores, called eddy current inductors. They are located near the skin in the area of ​​the icing zone.

Scheme of electropulse POS on the example of the IL-86 aircraft.

Electric current is applied to them with powerful pulses (at intervals of 1-2 seconds). The duration of the pulses is several microseconds. As a result, eddy currents are induced in the skin. The interaction of the current fields of the skin and the inductor causes elastic deformations of the skin and, accordingly, the ice layer located on it, which is destroyed.

Thermal anti-icing systems . As a source of thermal energy, hot air taken from the compressor (for turbojet engines) or passing through a heat exchanger heated by the exhaust gases can be used.

Scheme of air-thermal heating of the profile toe. 1 - aircraft skin; 2 - wall; 3 - corrugated surface; 4 - spar; 5 - distribution pipe (collector).

Scheme of the air-thermal POS of the Cessna Citation Sovereign CE680 aircraft.

Aircraft Cessna Citation Sovereign CE680.

POS control panel of Cessna Citation Sovereign CE680 aircraft.

Such systems are the most widespread now, because of their simplicity and reliability. They also come in both cyclic and continuous action. For heating large areas, cyclic systems are most often used for reasons of energy saving.

Continuous thermal systems are mainly used to prevent the formation of ice in places where its release (in the case of a cyclic system) could have dangerous consequences. For example, the release of ice from the center section of aircraft, in which the engines are located in the tail section. This could damage the compressor blades if the discharged ice gets into the engine inlet.

Hot air is supplied to the area of ​​protected zones through special pneumatic systems (pipes) separately from each engine (to ensure the reliability and operation of the system in case of failure of one of the engines). Moreover, the air can be distributed over the heated areas, passing both along and across them (for such, the efficiency is higher). After performing its functions, the air is released into the atmosphere.

The main disadvantage of this scheme is a noticeable drop in engine power when using compressor air. It can drop up to 15% depending on the type of aircraft and engine.

This disadvantage does not have a thermal system that uses for heating electric current. In it, the directly working unit is a special conductive layer containing heating elements in the form of a wire (most often) and located between the insulating layers near the heated surface (under the wing skin, for example). It converts electrical energy into thermal energy in a well-known way :-).

Aircraft wing toe with heating elements of electrothermal POS.

Such systems usually operate in pulse mode to save energy. They are very compact and light in weight. Compared to air-thermal systems, they practically do not depend on the engine operating mode (in terms of power consumption) and have a significantly higher efficiency: for air system maximum efficiency - 0.4, for electric - 0.95.

However, they are structurally more complex, labor-intensive to maintain and have a fairly high probability of failures. In addition, they require a sufficiently large amount of generated power for their work.

As some exotic among thermal systems (or maybe their further development 🙂 ) it is worth mentioning a project initiated in 1998 by a research center NASA (NASA John H. Glenn Research Center). It is called ThermaWing(thermal wing). Its essence is to use a special flexible conductive foil based on graphite to cover the toe of the wing profile. That is, not individual elements are heated, but the entire toe of the wing (this, however, is also true for the entire wing).

Such a coating can be used both to remove ice and to prevent its formation. It has a very high speed, high efficiency, compactness and strength. Pre-certified and Columbia Aircraft Manufacturing Corporation is testing this technology in airframe manufacturing using composite materials for the new Columbia 300/350/400 (Cessna 300350/400) aircraft. The same technology is used on the Cirrus SR-22 aircraft manufactured by Cirrus Aircraft Corporation.

Columbia 400 aircraft.

Aircraft Ciruss SR22.

Video about the operation of such a system on the Ciruss SR22 aircraft.

Electrothermal POS are also used for heating various air pressure sensors and receivers, as well as for deicing the windshield of aircraft cabins. The heating elements in this case are inserted into the sensor housings or between the layers of the laminated windshield. The fight against fogging (and icing) of the cab glass from the inside is carried out using warm air blowing ( air-thermal software WITH ).

Less used (in total) at present, the method of dealing with icing - physical and chemical. Here, too, there are two directions. The first is a decrease in the coefficient of adhesion of ice to the protected surface, and the second is a decrease (decrease) in the freezing point of water.

In order to reduce the adhesion of ice to the surface, either various coatings such as special varnishes or separately applied substances (for example, based on fats or paraffins) can be used. This method has many technical inconveniences and is practically not used.

Reducing the freezing point can be achieved by wetting the surface with liquids having a lower freezing point than water. Moreover, such a liquid should be easy to use, wet the surface well and not be aggressive with respect to the materials of the aircraft structure.

In practice, in this case, it is most often used that is suitable for all the required parameters. alcohol and its mixtures with glycerin. Such systems are not very simple and require a large margin special fluids. In addition, they do not dissolve the already formed ice. Alcohol also has one parameter that is not very convenient in everyday use 🙂. This is its indirect, so to speak, internal use. I don’t know if it’s worth joking about this topic or not 🙂 …

In addition, antifreezes are used for these purposes, that is, mixtures based on ethylene glycol (or propylene glycol, as less toxic). Aircraft using such systems have panels on the leading edges of the wing and tail with rows of very small diameter holes.

During the flight, when icing conditions occur, a reagent is supplied through these openings by a special pump and inflated along the wing with a counter flow. Such systems are used mainly in piston general aviation, and also partially in business and military aviation. In the same place, a liquid system with antifreeze is also used for anti-icing treatment of light aircraft propellers.

Alcoholic liquids often used to process windshields, complete with devices that are essentially ordinary “wipers”. It turns out the so-called fluid-mechanical system. Its action is rather preventive in nature, since it does not dissolve the already formed ice.

Control panel for cockpit glass cleaners ("wipers").

No less than airplanes get iced over. Not only the body with all the sensors installed on it, but also both screws are affected by this phenomenon - carrier and tail. Icing of propellers is just the greatest danger.

Main screw. Its blade, representing in a certain sense a wing model, nevertheless has a much more complex pattern of aerodynamic flow. As is known, the flow velocities around it, depending on the evolution of the helicopter, can vary from approaching sonic (at the end of the blade) to negative in the reverse flow zone.

Hence, the formation of ice under conditions of possible icing can take on a peculiar character. In principle, the leading edge of the blade is always iced up. At sufficiently low air temperatures (from -10 ° and below), it freezes along its entire length, and the intensity icing increases with increasing radius (flow velocity is higher), although at the tip of the blade it may decrease due to kinetic heating.

V flowback zone trailing edge may be iced up. The leading edge in this zone is less covered with ice due to low circumferential velocities and an incomplete turn of the direct flow. With a high water content of the cloud and large supercooled drops in the region of the butt of the blade, both the trailing edge and the upper surface of the blade can be covered with ice.

Approximate diagram of the icing of the rotor blade of a helicopter.

As a result, as on the wing, the aerodynamic characteristics of the blades deteriorate significantly. The profile resistance increases strongly, the lifting force decreases. As a result, the lifting force of the entire propeller falls, which cannot always be compensated by an increase in power.

In addition, at a certain thickness of ice, its strength and adhesion are unable to withstand centrifugal force and the so-called self-dumping ice. This happens quite chaotically and therefore, naturally, a certain asymmetry arises, that is, the blades receive different masses and different flow around. As a result - strong vibration and quite probable loss of helicopter flight stability. All this can end quite badly.

As for the tail rotor, it is even more prone to icing due to their small size. Centrifugal forces on it significantly exceed those on the main rotor (up to five times), therefore self-dumping ice occurs more often and vibration loads are significant. In addition, the released ice can damage the rotor blades and structural elements of the helicopter.

Due to the special sensitivity of helicopter blades to icing and the considerable danger for them of this phenomenon, when the weather forecast indicates the possibility of moderate or severe icing, helicopter flights are most often not performed.

An approximate diagram of the electrothermal heating system for the tail rotor of a helicopter. Here 5 and 6 are electric heating elements.

As for the applied POS for helicopter blades, the most common are electrothermal. Air-thermal systems are not used due to the difficulty of distributing air along the blades. But they are used to heat the air intakes of helicopter gas turbine engines. To combat ice on windshields, alcohol is often used (at least on our helicopters 🙂 ).

In general, due to the complexity of the aerodynamics of the main rotor, determining the size and location of the protected zone on its blade is a rather complicated process. However, usually the blades along the leading edge are protected for the entire length (sometimes starting from 1/3 of the length). On the upper part it is about 8-12% of the chord, on the lower part it is 25-28% of the chord. On the tail rotor, the leading edge is protected by about 15% along the length of the chord.

The trailing edge near the butt (having a tendency to ice) is not fully protected with the electrothermal method due to the difficulty of placing the heating element in it. In this regard, in case of danger of icing, the speed of the horizontal flight of the helicopter is limited.

It happens in a similar way icing engine propellers aircraft. Here, however, the process is more even, since there are no reverse flow zones, no receding and advancing blades, as on the main rotor of a helicopter 🙂. Icing starts from the leading edge and then goes along the chord up to about 25% of its length. The tips of the blades in cruising mode due to kinetic heating may not be iced up. A large accumulation of ice occurs on the propeller spin, which greatly increases the resistance.

Self-dumping of ice occurs, so to speak, regularly 🙂. All these delights lead to a drop in thrust, propeller efficiency, its imbalance, significant vibration, which ultimately leads to engine damage. In addition, pieces of ice can damage the fuselage. This is especially dangerous in the area of ​​​​the sealed cabin.

As a POS for aircraft propellers, electrothermal, most often cyclic, are most often used. Systems of this nature are the easiest to use in this case. At the same time, their efficiency is high. It is enough to slightly reduce the adhesion of ice to the surface and then the centrifugal force comes into play 🙂. The heating elements in this method are embedded in the body of the blade (usually along the leading edge), repeating its shape, and along the surface of the propeller spinner.

Of all the above types anti-icing systems some are used in combination. For example, air-thermal with electrothermal or electropulse with electrothermal.

Many modern anti-icing systems work in conjunction with icing sensors (or signaling devices). They help to control the meteorological conditions of the flight and detect the process that has begun in time. icing. Anti-icing systems can be activated either manually or by a signal from these signaling devices.

An example of the location of ice sensors. Aircraft A320.

POS control panel on A320. Circled in yellow is the remote control for the air-thermal system. The smaller remote control turns on the electric heating.

Such sensors are installed on the aircraft in places where the oncoming air flow undergoes the least distortion. In addition, they are installed in the engine air intake ducts and have two types of action: indirect and direct.

First detect the presence of water droplets in the air. However, they cannot distinguish supercooled water from ordinary water, therefore they have temperature correctors that turn them on only at negative air temperatures. These alarms are highly sensitive. The operation of their sensors is based on measurements of electrical resistance and heat transfer.

Second react directly to the formation and thickness of ice on the sensor itself. Sensitivity to conditions icing they are lower because they only react to ice, and it takes time to form. The sensor of such a signaling device is made in the form of a pin exposed to the flow. Ice forms on it when the right conditions occur.

There are several principles of operation of icing detectors. But two of them are the most common. First- radioisotope, based on the attenuation of β-radiation of a radioactive isotope ( strontium - 90, yttrium - 90) a layer of ice that forms on the sensor. This warning device responds to both the beginning and the end of icing, as well as its speed.

Radioisotope sensor of the icing detector (type RIO-3). Here 1 - profiled windows; 2 - radiation receiver; 3 - ice layer; 4 - radiation source.

Second- vibration. In this case, the signaling device responds to a change in the frequency of natural oscillations sensing element(membrane) of the sensor, on which the newly formed ice settles. Thus, the intensity of icing is recorded.

In the air intakes of engines, icing detectors of the CO type can be installed, which operate on the principle of a differential pressure gauge. The sensor has an L-shape, the end is installed against the flow and parallel to it. Inside the signaling device there are two chambers: dynamic (5) and static (9) pressure. A sensitive membrane (7) with electrical contacts (6) is installed between the chambers.

Icing sensor type CO.

When the engine is not running, the pressure in the dynamics chamber is equal to static pressure (through jet 3) and the contacts are closed. During the flight they are open (there is pressure). But as soon as ice appears at the input (1) of the sensor, which clogs the input, the dynamic pressure drops again and the contacts close. The signal is passing icing. It enters the engine anti-icing system control unit, as well as the cockpit. Number 4 is a heater to prevent icing of the internal cavities of the signaling device.

In addition, indicators can be set icing visual type. They usually stand within sight (near the windshield), are illuminated and the pilot has the ability to visually control the growth of ice on them, thereby obtaining the necessary information about possible icing.

Scheme of the location of anti-icing equipment on a passenger aircraft. Here 1 - cockpit windows; 2,3 - sensors of angles of attack and pressures; 4 - leading edge of the wing (slats); 5 - air intake socks; 6 - tail socks; 7.8 - lighting headlights; 9 - entrance to the engines; 10 - icing alarm.

On some types of aircraft, special headlights are installed to enable visual inspection of the leading edges of the wing and tail, as well as engine air intakes at night from the cockpit and passenger compartment. This enhances the visual control capabilities.

Alarm sensors icing, as already mentioned, in addition to a certain place on the fuselage of the aircraft, they must be installed at the inlet to the air intake of each engine. The reason for this is clear. The engine is a vital unit and there are special requirements for monitoring its condition (including with regard to icing).

TO anti-icing systems, ensuring the operation of engines, the requirements are no less stringent. These systems work in almost every flight and total duration their work is 3-5 times longer than the duration of the general aircraft system.

An approximate diagram of an air-thermal POS for a turbofan engine (input).

The temperature range of their protective action is wider (up to -45 ° C) and they work on a continuous principle. The cyclic option is not suitable here. Types of systems used - air-thermal and electrothermal, as well as their combinations.

In the fight against icing in addition to on-board systems, ground processing of aircraft is also used. It is quite effective, however, this effectiveness, so to speak, is short-lived. The processing itself is divided into two types.

First- this is the removal of ice and snow already formed during parking (in English de—icing ). It is carried out in various ways, from simple mechanical, that is, removing ice and snow manually, with special devices or compressed air, to treating surfaces with special liquids.

Processing aircraft ATR-72-500.

These fluids must have a freezing point below the current air temperature by at least 10 º. They remove or "melt" existing ice. If during processing there is no precipitation and the air temperature is near zero or higher, it is possible to process surfaces to remove ice with just hot water.

Second view- is the treatment of the surfaces of an aircraft in order to prevent the formation of ice and reduce its adhesion to the skin (in English anti-icing). Such processing is carried out in the presence of conditions for possible icing. The application is carried out in a certain way with special mechanical sprayers of various types, most often on the basis of automotive equipment.

Anti-icing treatment.

A special reagent liquid used for this kind of treatment is made on the basis of water and glycol (propylene glycol or ethylene glycol) with the addition of a number of other ingredients such as thickeners, dyes, surfactants (wetting agents), corrosion inhibitors, etc. The amount and composition of these additives is usually trade secret of the manufacturer. The freezing point of such a liquid is quite low (up to -60 ° C).

Processing is done immediately before takeoff. The liquid forms a special film on the surface of the aircraft airframe that prevents precipitation from freezing. After processing, the aircraft has a margin of time for take-off (about half an hour) and climb to that height, the flight conditions at which exclude the possibility of icing. When a certain speed is set, the protective film is blown away by the oncoming air flow.

KS-135. Anti-icing.

Treatment of the Boeing-777 aircraft (anti-icing).

Anti-icing of the Boeing-777 aircraft.

For various weather conditions according to SAE standards (SAE AMS 1428 & AMS 1424) there are four types of such fluids. Type I- a liquid of sufficiently low viscosity (most often without a thickener). Mainly used for operation de—icing. At the same time, it can heat up to a temperature of 55 ° - 80 ° C. After use, it easily flows off the surface along with the remnants of dissolved ice. For easier recognition, it can be colored orange.

Type II. It is a liquid sometimes referred to as "pseudoplastic". It contains a polymer thickener and therefore has a sufficiently high viscosity. This allows it to stay on the surface of the aircraft until it reaches a speed close to 200 km / h, after which it is blown away by the oncoming flow. It has a light yellow color and is used for large commercial aircraft.

Type I V . This liquid is close in parameters to type II, but has a longer waiting time. That is, the aircraft treated with such a reagent has a longer margin of time before takeoff and in more severe weather conditions. The color of the liquid is green.

Special fluids for anti-icing treatment. Type IV and type I.

Type III. This liquid is in its parameters between types I and II. It has a lower viscosity than type II and is washed away by oncoming traffic at speeds greater than 120 km/h. Designed mainly for regional and general aviation. The color is usually light yellow.

So for anti-icing reagents II, III and IV types are used. They are used at the same time in accordance with weather conditions. Type I can only be used in conditions of light icing (hoarfrost type, but without precipitation).

For the use (dilution) of special fluids, depending on the weather, air temperature and the forecast for possible icing, there are certain calculation methods used by technical personnel. On average, it can take up to 3800 liters of concentrate solution to process one large liner.

Something like this is the situation on the front of the fight against universal icing🙂 . Unfortunately, no matter how perfect modern POS or ground anti-icing systems are, they have capabilities limited by certain limits, constructive, technical or otherwise, objective or not very.

Nature, as always, takes its toll, and technical tricks alone are not always enough to overcome emerging problems with icing aircraft. Much depends on the person, both on the flight and ground personnel, on the creators of aviation equipment and those who put it into daily operation.

Always in the foreground. At least that's how it should be. If this is equally clear to everyone who is somehow involved in such a responsible area of ​​human activity as aviation, then we will all have a great and interesting future 🙂.

I end with this. Thank you for reading to the end. See you again.

At the end of a little video. Video about the effect of icing on the TU-154 ( good movie, albeit an old one :-)), the next one is about anti-icing treatment and then the operation of the POS in the air.

Photos are clickable.

on icing of ships in the waters of the Far Eastern Seas

Vladivostok - 2011

Foreword

During the cold period of the year on the seas, icing is recognized as the most dangerous natural phenomenon for ships. Dozens and hundreds of ships suffer from icing every day. Icing makes it difficult and disrupts production activities, leads to injuries to seafarers and often to catastrophic consequences.

The phenomenon of icing of ships is classified as dangerous and especially dangerous (HH) or natural hydrometeorological phenomena (HH). Appropriate instructions for behavior in case of icing have been developed for seafarers, while the main means of combating icing are: vessel maneuver, which reduces the build-up of ice; ice fragments by the crew; exit from the icing zone. When planning work at sea, it is necessary to know the conditions and factors that contribute to icing, among which are: technical (type of vessel, rigging, loading, coating, and so on); subjective (vessel maneuver) and hydrometeorological. The total impact of all these factors does not allow us to consider this phenomenon as natural and characterize it only from the hydrometeorological side. Therefore, all the conclusions obtained in the study of icing as natural phenomenon, are advisory, probabilistic in nature.

The atlas consists of three parts characterizing the icing conditions in the Bering, Okhotsk and Japan seas. Each part consists of an Introduction and two sections.

In the Introduction, the characteristics of icing conditions and explanations for the tabular material are given.

The first section contains a tabular material that characterizes the initial data, characteristics of vessel icing parameters, the interdependence of icing parameters on hydrometeorological elements and weather conditions for a particular sea.

The second section contains maps of icing of ships in three gradations of intensity: slow icing, fast and very fast - calculated according to temperature and wind gradations.

The atlas is intended for captains and navigators of various departments, employees of research and design organizations, bodies of the Hydrometeorological Service.

The atlas was developed at the State Institution "FERNIGMI" Art. scientific co-worker, Ph.D., A. G. Petrov and Jr. scientific collaborator E. I. Stasyuk.

The materials presented in the Atlas are based on in large numbers initial data. More than 2 million vessel-based observations of hydrometeorological elements carried out in the waters of the Far Eastern seas were used in the work, of which icing of vessels was recorded in more than 35 thousand cases. The time period covers the period from 1961 to 2005. The available observational material is a heterogeneous array of information, which often lacks certain hydrometeorological parameters and, above all, parameters characterizing the icing of ships. As a result, in the tables presented in the Atlas, there is a discrepancy between the mutual number of icing parameters. Under these conditions, the critical control of the available information on the identification of cases of icing of ships was carried out, first of all, on the basis of taking into account the possibility of icing according to physical laws.

For the first time, the results of a joint analysis of the icing parameters of directly recorded cases of icing and hydrometeorological observations characterizing the temperature and wind regime are presented. It is noted that icing of ships according to directly observed cases of icing is recorded in most of the considered water areas from October to June. The most favorable conditions for the occurrence of all types of icing are formed during the period of intense ice formation: from January to March. To determine the synoptic conditions, more than 2,000 synoptic processes were examined over the water areas of the Far Eastern seas.

The given characteristics of icing are used for approximate calculations of icing of ships with a displacement of 500 tons. With 80% probability, the nature of the splashing of such ships is the same as that of ships with a large displacement, which makes it possible to interpret the presented materials for ships with a large displacement. greatest danger icing is for vessels with limited movement maneuver (for example, when towing another vessel), as well as when the vessel moves at an angle of 15-30º to the wave, which determines the best conditions for splashing it with sea water. Under these conditions, even with slight negative air temperatures and low wind speed, severe icing is possible, aggravated by the uneven distribution of ice on the surface of the vessel, which can lead to catastrophic consequences. With slow icing, the rate of ice deposition on the deck and superstructures of a ship with a displacement of 300-500 tons can reach 1.5 t/h, with fast icing - 1.5-4 t/h, with very fast icing - more than 4 t/h.

The calculation of the intensity of possible icing (for mapping) was carried out in accordance with the recommendations developed in the "Guidelines for the prevention of the threat of icing of ships" and used in the prognostic divisions of Roshydromet, based on the following hydrometeorological complexes:

slow icing

• air temperature from -1 to -3 ºС, any wind speed, splashing or one of the phenomena - precipitation, fog, sea steam;
• air temperature -4 ºС and below, wind speed up to 9 m/s, splashing, or one of the phenomena - precipitation, fog, sea steam.

Rapid icing

• air temperature from -4 ºС to -8 ºС and wind speed from 10 to 15 m/s;

Very fast icing

• air temperature -4 ºС and below, wind speed 16 m/s and more;
• air temperature -9 ºС and below, wind speed 10 - 15 m/s.

Reference material characterizing the parameters of icing and the accompanying hydrometeorological elements are presented in the first section in the form of tables, figures and graphs.

Ship icing maps by months are presented in the second section. Here are maps of the probability of possible icing for three gradations of intensity: slow, fast, very fast, calculated on the basis of temperature and wind complexes by months.

The maps were constructed on the basis of the results of calculating the frequency of the corresponding temperature-wind complexes. To do this, all available information on air temperature and wind speed in the sea, according to ship observations, were grouped into 1º squares by months. The calculation of the repeatability of the icing characteristics was made for each square. Taking into account the large heterogeneity of the obtained recurrence values, the maps show recurrence isolines of more than 5%, while the extreme boundary of possible icing is marked with a dotted line. Maps are built separately for each type of icing intensity (slow, fast, very fast). The zones of ice presence are also marked here in winters of various types: mild, medium and severe. In addition to this information, the maps highlight zones in which there is a lack of initial data, both in terms of their total number and in terms of the sufficiency of their climatic generalization for each of the squares. The minimum amount of initial data was selected on the basis of the calculation of the first quartell during the statistical processing of the entire data array for the month. On average, it turned out to be equal to 10 observations for all months. The minimum amount of data for climate generalization was adopted - three (in accordance with guidelines). The zones are marked with hatching.

Brief description of icing of ships in the waters of the Far Eastern seas in January

(a fragment of the analysis of the characteristics of the icing regime of ships by months)

In January, about 1347 cases of icing were recorded in the Bering Sea, of which 647 cases of slow and 152 cases of fast icing of vessels, which is about 28% of all cases of slow icing and about 16% of fast icing. Icing is likely throughout the entire sea area, while the probability of slow icing due to wind and temperature conditions reaches 60%, gradually increasing from south to north towards the coasts of Asia and America. The probability of rapid icing is characterized by 5–10% in almost the entire area of ​​the sea, and very rapid icing reaches 20–25%.

More than 4300 cases of icing have been registered in the Sea of ​​Okhotsk. Of these, 1900 slow and 483 rapid icing. According to the calculated data, icing can be observed throughout the sea, while the probability of slow icing is within 40–60%, fast 10–30%, and very fast 10–15%.

More than 2160 cases of icing have been registered in the Sea of ​​Japan. Of these, more than 1180 slow and about 100 cases of rapid icing. According to the calculated data, the probability of icing is high in most of the sea area. Thus, the probability of slow icing according to temperature and wind conditions evenly increases from south to north from 5 to 60% or more. Rapid icing is typical for the central part of the sea with values ​​from 5 to 15% and decreasing towards the top of the Tatar Strait to 5%. The probability of very rapid icing increases from the south to the upper reaches of the Tatar Strait from 5 to 30%.

Like brief analysis icing of ships is presented for all seas for all months in which there is a possibility of icing of ships.

Table 1 presents information on the number and frequency of hydrometeorological observations, including cases of direct registration of icing of ships, which were used in the analysis of the causes and nature of icing on ships. Figures 1-3 show examples of maps of the spatial location of recorded cases of icing of ships in the Far Eastern seas.

Figure 4 shows an example of graphical information, namely, the characteristics of recorded cases of icing of ships by reason and nature of icing.

Figures 5-8 show dependence diagrams of spray icing on hydrometeorological elements (water and air temperature, wind speed and wave height) for all three seas.

Table 1 - Quantity and frequency (%) of hydrometeorological observation data by months, including information on direct registration of ship icing

Month October 261753 12,7 November 223964 10,9 1704 1142 December 201971 4426 12,5 2648 21,4 January 204055 7843 22,1 3731 30,2 17,8 February 204326 9037 25,5 2681 21,7 1038 25,1 March 234999 11,4 7682 21,6 1552 12,6 1041 25,2 April 227658 11,1 2647 11,0 May 250342 12,2 1291 June 248642 12,1

1 - total number of ship meteorological observations;

3 - total number of registered cases of icing;

5 - the number of cases of registration of slow icing;

7 - the number of cases of registration of rapid icing.

Figure 1 - Coordinates of cases of all types of icing

Figure 2 - Coordinates of cases of slow icing

Figure 3 - Coordinates of cases of rapid icing

Figure 4 - Repeatability of icing depending on the causes and nature

Figure 5 - Repeatability of spray icing as a function of water temperature

Figure 6 - Repeatability of spray icing as a function of ice thickness distribution

Figure 7 - Repeatability of spray icing as a function of wave height

Figure 8 - Repeatability of spray icing depending on air temperature distribution

An example of maps of the probability of icing, calculated on the basis of temperature-wind complexes (a fragment from the atlas of maps of the probability of icing in the Bering Sea in January)

As a result of processing data on the temperature and wind regime in the water areas of the Far Eastern seas, the frequency of icing characteristics (slow, fast, very fast) in one-degree squares by months was calculated.

The calculation was made on the basis of the interrelationships of air temperature and wind speed with the nature of icing of vessels used in prognostic organizations.

Thus, Figure 9 shows an example of cartographic information for calculating the probability of icing of vessels in the Bering Sea based on temperature and wind conditions in January. In the figure, the shaded areas indicate the position of the ice cover in January in various types of winters: mild, moderate, and severe. Red shading highlights areas where there is insufficient data for statistically reliable calculations of the probability of icing.

Figure 9 - An example of cartographic information for calculating the probability of icing of ships in the Bering Sea based on temperature and wind conditions in January