56 Transient Cooling of a Solid with a Nonuniform Initial Temperature Consider the transient conduction problem in Fig. P5-6, in which the initial temperature of a solid slab is f(x), the left side is insulated, and the right side is maintained at the ambient tempera- ae/at=a20/a dex=0 0=0 (x,0) = f(x) X=0 x=1 Figure P5-6. Transient conduction in a solid sheet with a nonuniform initial temperature. ture. Assume that the initial temperature distribution is the result of a volumetric heat source that is present until t=0. (a) Suppose that f(x) = (1-x)/2, which corresponds to a heat source of unit magnitude for t