Chapter 2, Problem 142P

A large plane wall, with a thickness L and a thermal conductivity k, has its left surface $(x=0)$ exposed. to a uniform heat flux $q_0$. On the right surface $(x=L)$, convection and radiation heat transfer occur in a surrounding temperature of $T_{\infty }$. The emissivity and the convection heat transfer coefficient on the right surface are $\epsilon$ and h respectively. Express the boundary conditions and the differential equation of this heat problem during steady operation.