Heat conduction in a spherical shell (Fig. 11B.4), a spherical shell has inner and outer radii R1…

Heat conduction in a spherical shell (Fig. 11B.4), a spherical shell has inner and outer radii R1 and R2. A hole is made in the shell at the North Pole by cutting out the conical segment in the region 0 < θ < θ1. A similar hole is made at the South Pole by removing the portion (π – θ1) < θ < π. The surface 0 = 0 is kept at temperature T = T1, and the surface at 0 = π – θ1 is held at T = T2. Find the steady-state temperature distribution, using the heat conduction equation.