Transient Heat Conduction with No Steady State

Consider the heat conduction problem with Neumann (constant flux) at both boundaries of a solid slab. A constant radiant heat flux is imposed on one surface (at ) and the other surface is thermally insulated (at ). The governing equation is given by . Initially the solid slab temperature is equal to zero. This Demonstration displays the temperature at various instants. The temperature does not reach a steady-state value and at large times has the form .