7. Heat conduction with temperature-dependent thermal conductivity (Figure 2.6). The curved surfaces and the end surfaces (both shaded in the figure) of the solid in the shape of a half-cylindrical shell are insulated. The surface 0-0, of area (r2 - r,, L, is maintained at temperature To, and the surface at =, also of area (r₂-r₁)L, is kept at temperature T.. The thermal conductivity of the solid varies linearly with temperature from k, at T= T₁ to k at T = T (a) (b) Find the steady-state temperature distribution. Find the total heat flow through the surface at 0 = 0. Surface at T. z=L Surface at To Figure 2.6: Tangential heat conduction in an annular shell. z=0