Consider a short cylinder of radius r0 and height H in which heat is generated at a constant rate of egen. Heat is lost from the cylindrical surface at r = r0 by convection to the surrounding medium at temperature T∞ with a heat transfer coefficient of h. The bottom surface of the cylinder at z = 0 is insulated, while the top surface at z = H is subjected to uniform heat flux qH. Assuming constant thermal conductivity and steady two-dimensional heat transfer, express the mathematical formulation (the differential equation and the boundary conditions) of this heat conduction problem. Do not solve.
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