The defroster of an automobile functions by discharg-ing

Chapter 6, Problem 6.43

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The defroster of an automobile functions by discharg-ing warm air on the inner surface of the windshield. Toprevent condensation of water vapor on the surface, thetemperature of the air and the surface convection coeffi-cient ( , ) must be large enough to maintain asurface temperature Ts,ithat is at least as high as thedewpoint (Ts,i ?Tdp).Consider a windshield of length L?800 mm andthickness t?6 mm and driving conditions for whichthe vehicle moves at a velocity of V?70 mph in ambi-ent air at T?,o??15C. From laboratory experimentsperformed on a model of the vehicle, the average con-vection coefficient on the outer surface of the wind-shield is known to be correlated by an expression of theform , where ReL?VL/?. Airproperties may be approximated as k ?0.023 W/m?K,??12.5?10?6m2/s, and Pr?0.71. If Tdp?10C and ?50C, what is the smallest value of required to prevent condensation on the inner surface?

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