Question

A solid cylinder, 0 ≤ r ≤ b, is initially at zero temperature. For times t > 0, the boundary condition at r = b is subjected to a time-dependent prescribed temperature f (t) defined by

First plot (i.e., sketch) the boundary condition f (t). Using Duhamel’s theorem, develop an expression for the temperature distribution T(r,t) in the cylinder for times (i) τ₁ 3.

Answer 1

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