Temperature distributions within a series of one dimensional plane walls at an initial time, at steady state, and at several intermediate times are as shown.

For each case, write the appropriate form of the heat diffusion equation. Also write the equations for the initial condition and the boundary conditions that are applied at x = 0 and x = L. If volumetric generation occurs, it is uniform throughout the wall. The properties are constant.

Transcribed Image Text:

X (a) X (c) L L 1 →∞ t = 0 0=1 1 (b) (d) L 0=1 L 1 →∞0 ∞0-1 0=1