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A numerical simulation program for the design of the cooling air duct and the cooling system of vehicles for stationary operating conditions is introduced. This program allows the simulation of interactions with the system environment resp. an air conditioning. Hot recirculations of air in the front part of the car and the inhomogenious flow through the heat exchangers radiator and condensor in their affects on the heat transfer capacity are simulated. The power demand of the fan, the water pump and the compressor is taken into account for calculating the heat flow from the engine into the cooling water.