ech%203264_exam3_sp07 - ECH 3264: Spring 2007 Exam #3...

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1 ECH 3264: Elementary Transport Phenomena Spring 2007 Exam #3 April 25, 2007 Name: Closed book and notes. No calculators. Start each problem on a new page. DO NOT use the back of a page. Write clearly your assumptions and any parameter definitions. Show your work to get maximum credit. It is helpful to the grader (and to you) if you box intermediate and final answers. 1. (25 pts) You have a slab with heat transfer occurring in the x-direction and a length of 2a in the x-direction. Initially the slab (with constant thermal conductivity, k) is at a temperature T o . Now instead of the ends of the slab being lowered in temperature, we have at t > 0 a uniform heat generation (S o ) in the slab. (i) (10 pts) Derive the appropriate governing differential equation for the slab. You may start with the general vector equation shown below (note this equation has already substituted for the internal energy). Justify all simplifications you make to the equation below. t T C T C q p p = Θ + ) ˆ ( ) v ˆ ( gen ρ r r (ii) (10 pts) We would like to use dimensionless variables in the governing differential equation. You
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This note was uploaded on 08/30/2009 for the course ECH 3264 taught by Professor Asthagiri during the Spring '09 term at University of Florida.

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ech%203264_exam3_sp07 - ECH 3264: Spring 2007 Exam #3...

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