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Mathematical model of heat balance calculation for the radiator of refrigeration system with effective radiation into space

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The method of calculating heat balance of the plate radiator for refrigeration system with effective radiation into space is presented. The method has been obtained by analytical solution of the heat balance equations. The results simulating heat transfer processes at different values of wind speed, coolant flow and thermal conductivity of the radiating fins are presented. Calculation shows that if the radiating fins of the radiator are thin its thermal conductivity does not have a significant impact on the overall cooling capacity. Therefore, there is no need to use high thermal conductivity materials. When the temperature of coolant is higher than the temperature of the air, increase in wind speed causes an increase in the cooling capacity due to increase of the convective heat transfer. There is a maximum value for the coolant speed at which the cooling capacities cease to increase. The solutions presented can be used in the design of specific models of radiators as well as in the automated management of the refrigeration system with effective radiation into space.

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