Question

A horizontal photovoltaic (PV) collector absorbs solar radiation and produces electricity.While 10% of the solar power is converted to electricity, the remaining 90% is lost to the atmosphere by natural convection to the ambient air and radiation to the sky. The sky has an effective temperature of 270 K and the ambient air has a temperature of 310 K. The PV has an emissivity of 0.9. The natural convection from the PV surface is given by the following equation. \frac{h L}{k}=0.15 R a^{0.33} R a=\frac{g\left(T_{P V}-T_{a i r}\right) L^{3}}{v^{2} T_{a i r}} P r Where g is the acceleration of gravity, L is the length of the PV array (L = 25 ft), v is the kinematic viscosity of air, k is the thermal conductivity of air, and Pr is the Pr and tl number. a. What is the temperature of the PV surface if the collector absorbs 1000 W/m² of surface area? b. Develop a plot of PV temperature as the absorbed solar radiation varies from 100W/m² to 1000 W/m².

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