In 29, if there is a constant flux of heat into the solid at its left-hand boundary
Chapter 15, Problem 30(choose chapter or problem)
In Problem 29, if there is a constant flux of heat into the solid at its left-hand boundary, then the boundary condition is \(\left.\frac{\partial u}{\partial x}\right|_{x=0}=-u_{0}\), \(u_{0}>0\), t > 0. Solve for u(x, t). Use the solution to determine analytically the value of \(\lim _{t \rightarrow \infty} u(x, t)\), x > 0.
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