A cylindrical shell of inner and outer radii, ri and ro, respectively, is filled with a heat-generating material that provides a uniform volumetric generation rate (W/m3) of Qdot. The inner surface is insulated, while the outer surfaced is exposed to a fuild at Tinfinity and a convection coefficient h.
a) Obtain an expression for the steady-state temperature distribution T (r) in the shell, expressing your result in terms of ri, ro, Qdot, h, Tinfinity, and the thermal conductivity k of the shell material
b) Determine an expression for the heat flux, q'' (ro), at the outer radius of the shell in terms of Qdot and shell dimensions.
