G Consider a thin opaque, horizontal plate with an electrical heater on its backside. The front end is exposed to ambient air that is 200C and provides a convection heat transfer coefficient of 10 W/m2K, solar irradiation of 600 W/m2, and an effective sky temperature of -400C. Calculate the electrical power (W/m2) required to maintain the plate surface temperature at Ts

The electrical power is 96.5 W/m^2

Explanation:

The energy balance is:

Ein-Eout=0

if:

Gsky=oTsky^4

Eb=oTs^4

qc=h(Ts-Tα)

if Gl≈El(l,5800)

lt= 2*5800=11600 um-K, at this value, F=0.941

The hemispherical emissivity is equal to:

lt=2*333=666 K, at this value, F=0

The hemispherical absorptivity is equal to:

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explanation:

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