5-9 - CHAP 5 Finite Elements for Heat Transfer Problems 291...

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CHAP 5 Finite Elements for Heat Transfer Problems 291 9. A well-mixed fluid is heated by a long iron plate of conductivity k = 12 W/m/ o C and thickness t = 0.12m. Heat is generated uniformly in the plate at the rate Q g = 5,000 W/m 3 . If the surface convection coefficient h = 7 W/m 2 / o C and fluid temperature is T f = 45 o C, determine the temperature at the center of the plate T c and the heat flow rate to the fluid q using three one-dimensional elements. Solution: Assuming that the plate is wide enough, we model the problem with 1D elements of unit area. Using L ( e ) = 0.04 m for all the three elements., the element matrix equations become Element 1: (1) 11 2 2 1 1 1,000 300 1 1 1,000 Tq T q          Element 2: (2) 22 (2) 3 3 1 1 1,000 300 1 1 1,000 T q  
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This note was uploaded on 08/22/2011 for the course EML 4500 taught by Professor Staff during the Fall '08 term at University of Florida.

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5-9 - CHAP 5 Finite Elements for Heat Transfer Problems 291...

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