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Unformatted text preview: ME 608 Numerical Methods in Heat, Mass, and Momentum Transfer Mid-Term Examination Date: March 5, 2008 6:00 – 7:30 PM Instructor: J. Murthy Open Book, Open Notes Total: 50 points Use the finite volume method in all problems. NAME: Problem Points Score 1 30 2 20 TOTAL 50 1 1. Consider laminar hydrodynamically and thermally fully-developed flow in a 2D parallel plate channel, as shown in Fig. 1. There is a constant heat generation S in the channel. Neglecting axial diffusion, the energy equation may be written as: ∂ ∂ x ( ρ C p u ( y ) T ) = ∂ ∂ y parenleftbigg k ∂ T ∂ y parenrightbigg + S The walls of the channel are perfectly insulated. The velocity field u ( y ) is the classical parabolic profile, given by: u ( y ) u m = 3 2 parenleftbigg 1- parenleftBig y D parenrightBig 2 parenrightbigg Here u m is the mean velocity at any x location. All properties are assumed constant in keeping with the concept of fully-developed flow and heat transfer. You are given the following information:...
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This note was uploaded on 12/29/2011 for the course ME 608 taught by Professor Na during the Fall '10 term at Purdue.
- Fall '10