Solve this Transport Phenomena Problem Correctly.

Derive the temperature profile when there is a flow of an incompressible Newtonian fluid between two coaxial cylinders. The surfaces of the inner and outer cylinders are maintained at T=T0 and flux =0, respectively. Assume T is function of r only. As the outer cylinder rotates, each cylindrical shell of fluid "rubs" against an adjacent shell of fluid. This friction between adjacent layers of the fluid produces heat; that is, the mechanical energy is degraded into thermal energy. The volume heat source resulting from this "viscous dissipation" can be designated by Sv. Consider the slit width b is small with respect to the radius R of the outer cylinder