Question – A plane wall that is insulated on one side (x = 0) is initially at a uniform temperature Ti, when its
exposed surface at x = L is suddenly raised to a temperature Ts’
(a) Verify that the following equation satisfies the heat equation and boundary conditions: where C) is
a constant and a is the thermal diffusivity.
(b) Obtain expressions for the heat flux at x = 0 and x = L.
(c) Sketch the temperature distribution T(x) at t = 0, at t ? 8, and at an intermediate time. Sketch the
variation with time of the heat flux at x = L, qL (t).
(d) What effect does a have on the thermal response of the material to a change in surface
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