A solar air heater consists of a flat air duct composed on one side of an absorb

Question

A solar air heater consists of a flat air duct composed on one side of an absorbing sheet backed by insulation and on the other side by a transparent sheet, as shown in the figure. The absorbing sheet absorbs 500 W/m2 and delivers all this heat to the air being heated, which loses some to the atmosphere through the transparent sheet. The convection heat transfer coefficient from the transparent sheet to the ambient air is 12 W/m2K and from the air being heated to the transparent sheet is 45 W/m2K. The air enters with a temperature that is the same as the ambient, namely 15 degree C, and the flow rate of air is 0.02 kg/s per meter width. Develop the equation for the temperature of the heated air, T as a function of length along the collector, x assuming no conduction in the sheet in the direction of airflow.

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