Exam2_Solutions

# Exam2_Solutions - Course Number SOLUTIONS NAME_SOLUTIONS...

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Course Number __ SOLUTIONS NAME____ SOLUTIONS _________ Front Page Fluid Mechanics Exam 2, Spring 2007 There are 6 problems on this exam for a total of 40 points Problem 1: 4 points Problem 2: 5 points Problem 3: 5 points Problem 4: 6 points Problem 5: 10 points Problem 6: 10 points TOTAL 40 points By signing below I agree to abide by the following honor code: As a member of the Northwestern community, I will not take unfair advantage of any other member of the Northwestern community. I specifically agree not to reveal to any other student the contents of this exam. Signature: Date:

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page 1 of 11 Problem 1: 4 points Consider the vector field V and the scalar function k z j xz i xy V ˆ 3 ˆ ˆ 2 2 2 = 7x 2 + 3y 3 + 2z 4 If it is possible, find the quantities requested below. If it is not possible to find the quantity, write “not possible” in the box. V 2 V 2 not possible Not possible (yields a tensor)
page 2 of 11 Blank Page: You can use this page to work on problem 1

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Problem 2. 5 points The parallel plates shown below have a fluid between them and are separated by a distance of 5 mm. A shearing stress of 100 Pa develops at the upper plate when it is pulled at a velocity of 1 meter/second. Assuming a linear velocity profile between the plates, what is the viscosity of the fluid?
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Exam2_Solutions - Course Number SOLUTIONS NAME_SOLUTIONS...

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