hwk3_sol - ME 410 Fall 2007 Homework 3 Due 1 Consider a...

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ME 410 Fall 2007 Homework 3 Due: September 11, 2007 1. Consider a large plane wall of thickness L = 0.06 m. The wall surface at x = 0 is insulated while the surface at x = L is maintained at a temperature of 25 ° C. The thermal conductivity of the wall is k = 26 W/m ° C, and heat is generated in the wall at a rate of 3 5 . 0 / m W e q q L x o = where 3 6 / 10 5 . 7 m W x q o = . Assuming steady one-dimensional heat transfer (a) express the differential equation and the boundary conditions for the heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation and (c) determine the temperature of the insulated surface of the wall. k, thermal conductivity, is given for isotropic media Reduced form of the energy equation for isotropic media with heat generation and boundary conditions () s x L x o T L T x T e k q k x q x T = = = = = 0 ) ( 0 5 . 0 2 2 Separate and integrate twice, recalling that heat generation is a function of x 2 1 5 . 0 2
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hwk3_sol - ME 410 Fall 2007 Homework 3 Due 1 Consider a...

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