final_exam_spring08 - PGE 322K TRANSPORT PHENOMENA Spring...

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PGE 322K – TRANSPORT PHENOMENA Spring 2008 FINAL EXAM May 10, 2008 Except where noted, do all calculations in SI units BEWARE OF UNNECESSARY INFORMATION. DO NOT SPEND TOO LONG ON ANY ONE PROBLEM. DO NOT LEAVE ANY PROBLEM BLANK! YOU CAN START ANWERS FROM EQUATIONS IN BSL, JUST GIVE THE EQUATION NUMBER Total:150/170 pts NAME __________________________________________________________ Spring 2008 1
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1. (35 pts) A metal cube of side length L=0.1 m is initially at T = 100 C. At time t=0, it is plunged into a bath at T = 0 C. Orient the axis such that the cubes faces are on the x=0, x= 0.1, y=0, y=0.1, z=0, z=0.1 planes. The x=0 and y=0 planes are perfectly insulated, the rest are open to the bath. See figure. You can assume that the all of the uninsulated walls are immediately at T=0 at t=0. The properties of the metal are as follows 3 10 / ; 600 / ; 5000 / p k W mK C J kgK kg m ρ = = = ) a) At what point will the warmest part of the cube be after 10 minutes in the bath? Give answer in the co-ordinate system above (x,y,z). b) Calculate the temperature at the warmest point after 10 minutes of cooling. Spring 2008 z y x (0.1,0.1,0.1) (0,0.1,0) (0.1,0,0) perfectly insulated surfaces 2
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c) Calculate the temperature at x=0, y=0, z = 0.005 after 5 seconds of cooling. Spring 2008 3
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2. (30 pts) Your parents come to visit, and you mother makes a big pot of meatballs in spaghetti sauce. The pot is 15 cm diameter, 12 cm tall and full almost to the top with sauce in meatballs (you can consider it full to the top in your calculations). You are left to take care of the pot after dinner. The interior of the pot is initially at 100 C, and your job
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final_exam_spring08 - PGE 322K TRANSPORT PHENOMENA Spring...

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