hw4 - insulated end and the other end subjected to...

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Department of Chemical Engineering University of California, Santa Barbara ChE 230A Fall 2006 Instructor: Glenn Fredrickson Homework #4 Homework Due: Thursday, October 26, 2006 1. Prepare solutions to the following problems in your Riley, Hobson, and Bence text: 13.25, 13.26, 17.3, 17.7. 2. Using the separation of variables method, solve for the temperature field T ( x,t ) in the following problem of heat conduction in a one-dimensional beam with an
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Unformatted text preview: insulated end and the other end subjected to convective cooling (note x and t subscripts denote partial derivatives): T t = T xx , t > , < x < L T x (0 ,t ) = 0 , t >-kT x ( L,t ) = h [ T ( L,t )-T 1 ] , t > T ( x, 0) = T , < x < L Provide explicit formulas for any expansion coecients that appear in your solution....
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This note was uploaded on 12/29/2011 for the course CHE 230a taught by Professor Ghf during the Fall '10 term at UCSB.

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