Exam7_Solutions2007

Exam7_Solutions2007 - ME or BME Class_SOLUTIONS NAME_SOLUTIONS Fluid Mechanics Exam 7 Spring 2007 There are 5 problems on this exam for a total of

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ME or BME Class? _ SOLUTIONS _______ NAME_____ SOLUTIONS ______________ Page 1 of 9 Fluid Mechanics Exam 7, Spring 2007 There are 5 problems on this exam for a total of 101 points Problem 1: 21 points – no partial credit on any of the parts Problem 2: 25 points – no partial credit on parts A through C Problem 3: 20 points Problem 4: 20 points Problem 5: 15 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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ME or BME Class? _ SOLUTIONS _______ NAME_____ SOLUTIONS ______________ Page 2 of 9 Dt DV Dt DA Problem 1: LOOK THREE points each – no partial credit. LOOK Consider the vector field A and its associated velocity vector field V ) ˆ ˆ ˆ )( ( k j i c b a A k V j V i V V z y x ˆ ˆ ˆ Assume that all components of all vectors are all functions of (x,y,z,t). If it is possible, find the quantities requested below. If it is not possible, write “not possible” in the box. Your answers must be written in terms of V x , V y , V z , and a, b, and c. Your answers must not include the vector A or the vector V 2 V A •A (V• )A (V• )V scalar Not possible
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ME or BME Class? _ SOLUTIONS _______ NAME_____ SOLUTIONS ______________ Page 3 of 9 Problem 2. A) (5 points, no partial credit) Write down the Reynold’s Transport Theorem (RTT) B) (5 points, no partial credit) Use the RTT to derive conservation of mass. Show what values you are substituting in order to obtain the conservation of mass equation. C) (5 points, no partial credit
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This note was uploaded on 09/29/2008 for the course MECH 241 taught by Professor Hartmann during the Spring '08 term at Northwestern.

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Exam7_Solutions2007 - ME or BME Class_SOLUTIONS NAME_SOLUTIONS Fluid Mechanics Exam 7 Spring 2007 There are 5 problems on this exam for a total of

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