Question

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7. The zeroth-order perturbation in Question 6 satisfies with Uo(X,0 0,U0(T, T)-1, and Uo(oo, T) 0 (a) Using change of variable, ξ-X-T, τ-T, show that the governing equation becomeand express the initial and boundary conditions in terms of the new variables. (b) Obtain a quasi-steady -state solution by neglecting the derivative with respect to t. Express this back in terms of the variables X and T. Using sketching package (or graphic calculator), explain what this tells us about the long-time behaviour of the temperature.

Answer 1

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