Copper tubing is joined to a solar collector plate of thickness t, and the working fluid maintains the temperature of the plate above the tubes at To. There is a uniform net radiation heat flux q"rad to the top surface of the plate, while the bottom surface is well insulated. The top surface is also exposed to a fluid at T[infinity] that provides for a uniform convection coefficient h. a. Derive the differential equation that governs the temperature distribution T(x) in the plate.
b. Obtain a solution to the differential equation for appropriate boundary conditions.