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A photovoltaic panel of dimensions 3 m in length x 1 m in width is located on top of the roof of a house.

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A photovoltaic panel of dimensions 3 m in length x 1 m in width is located on top of the roof of a house. Solar irradiation G = 700 W/m is incident on the panel. The panel has an absorptivity to solar irradiation, as of 0.95 and the emissivity is 0.8. The freestream air temperature is Tinf = 30C. For this particular problem, ignore incident radiation exchange from surrounding sky. A wind with a speed of 5 m/s is blowing parallel to the long side of the panel. The generated electric power is provided by the following expression: PelecsGsAs [A-B Tp] where A = 0.60 and B = 0.0013 K. In the above equation, As is the solar panel area and Tp is the panel temperature. Heat conduction from the panel supports to the roof can be neglected, as can the heat loss from the back side of the solar panel. (a) Derive an analytical expression for electrical power generated by the panel as a function of other known quantities. There is no need to present an explicit relation for Tp in terms of known quantities. (b) Provide a numerical solution to Tp and Pelec Properties of air at appropriate film temperature Density = 1.1 kg/m Kinematic viscosity, v = 0.0000179 m/s Thermal conductivity, k=0.026 W/m-K Pr = 0.72

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