Consider u t = k r r r u r , a < r < b, subject to u(r, 0) = f(r), u r (a, t) = , and u
Chapter 1, Problem 1.5.12(choose chapter or problem)
Consider u t = k r r r u r , a < r < b, subject to u(r, 0) = f(r), u r (a, t) = , and u r (b, t)=1. Using physical reasoning, for what value(s) of does an equilibrium temperature distribution exist?(c) Use parts (a) and (b) to derive the spherically symmetric heat equation u t = k r2 r r2 u r .
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