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# Q HW8 - f(t a time-dependent boundary condition that is...

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EML 6154 HW 8 Due Friday Nov. 13 Problem 7.2. Problem 7.5. Find both the full solution AND the small-time approximation. Problem 7.7. Find both the full solution AND the small-time approximation. For your large-s approximation, use Equation 16c of Appendix IV for expansion of both the numerator and denominator terms. (4) Consider a 1-D plane wall with no generation. Let the initial temperature T(t=0) = 0, and let the temperature on the left surface T(x=0) = 0. Let the temperature on the right surface T(x=L) =
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Unformatted text preview: f(t), a time-dependent boundary condition that is continuous with f(t=0) = 0. Solve for the temperature distribution T(x,t) using three methods: the Laplace Transform technique, Duhamel’s technique, and the Green’s function technique. Simplify and perform all integrations necessary to show that the three solutions are all in exact agreement. Consider this hint: 1) For inversion of your Laplace solution, use convolution....
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