Conv_hw3 - converge on a solution for T * (r * ). d) Use a...

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EML 6155 Homework For fully developed laminar flow in a circular duct with a constant wall temperature, show that, a) * * * * 1 r * * *2 * * * 0 * r 1 1 r * * * *2 *2 * * * * 0 0 r 1 [ (1- ) ] dr dr r r T r = T 1 4 (1- ){ [ (1- ) ] } dr dr dr r r r T r r where, * w * w b -T r T = and r = T - R T T b) Show that the Nusselt number may be expressed as, * * =1 r * hD dT Nu = = -2 | k dr c) Make an initial guess for T * and use numerical integration to evaluate the above integrals and
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Unformatted text preview: converge on a solution for T * (r * ). d) Use a finite difference approximation to evaluate * * =1 r * dT | dr , and evaluate Nu. Compare your computed Nu with the published value, Nu=3.658. e) Plot T * (r * )...
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This note was uploaded on 09/09/2010 for the course EML 6155 taught by Professor Dr.jamesklausner during the Spring '10 term at University of Florida.

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