Exam1_F10

# Exam1_F10 - Name:_ Last First CIRCLE YOUR DIVISION: Div. 1...

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Name:__________________________________ Last First CIRCLE YOUR DIVISION: Div. 1 (9:30 am) Div. 2 (11:30 am) Div. 3 (2:30 pm) Prof . Ruan . Naik Mr . Singh School of Mechanical Engineering Purdue University ME315 Heat and Mass Transfer Exam #1 Wednesday, September 22, 2010 Instructions: Write your name on each page Closed-book exam – a list of equations is given Please write legibly and show all work for your own benefit. Write on one side of the page only. Keep all pages in order You are asked to write your assumptions and answers to sub-problems in designated areas. Only the work in its designated area will be graded. Performance 1 30 2 35 3 35 Total 100

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Name:__________________________________ Last First Problem 1 [30 pts] Consider a plane wall of thickness 100 mm and thermal conductivity 2 W/m-K shown below. One side of the wall is perfectly insulated. The other side of the wall is exposed to surrounding air at temperature 25 C and convective heat transfer coefficient of 10 W/m 2 -K. The radiative heat loss from the same side to surrounding air is 400 W/m 2 . There is uniform volumetric heat generation of 10,000 W/m 3 in the wall. 3 W q = 10,000 m Assume that conduction through the wall is one-dimensional and at steady-state. (a) Calculate the temperature ( C) of the wall surface exposed to the surrounding air. (b) Write the differential equation and the necessary boundary conditions to obtain temperature distribution T(x) through the wall. Start with the generalized heat diffusion equation in rectangular coordinate system. Solve the differential equation to obtain T(x). List your assumptions here [3 pts]: Steady-state One-dimensional conduction in the wall Constant Properties Uniform convective heat transfer coefficient on the surface Start your answer to part (a) here [10 pts]: Consider energy balance at the surface: in out gen st conv rad E EE E q V q q 
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## This note was uploaded on 02/09/2012 for the course ME 352 taught by Professor Staff during the Fall '08 term at Purdue University.

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Exam1_F10 - Name:_ Last First CIRCLE YOUR DIVISION: Div. 1...

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