Solved: Suppose that the temperature in a long, thin rod placed along the -axis is
Chapter 5, Problem 67(choose chapter or problem)
Suppose that the temperature in a long, thin rod placed along the -axis is initially if and 0 if . It can be shown that if the heat diffusivity of the rod is , then the temperature of the rod at the point at time isTx, t C as4 kt ya 0 exu24kt duTo nd the temperature distribution that results from an initial hot spot concentrated at the origin, we need to computelim al0 Tx, tUse lHospitals Rule to nd this limit.
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