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Exam6_2008_Solutions

# Exam6_2008_Solutions - NAME Officially Enrolled in ME or...

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NAME ______________________________ Officially Enrolled in ME or BME? (circle one) Front Page Fluid Mechanics Exam 6, Spring 2008 There are 6 problems on this exam: Problem 1: 15 points Problem 2: 10 points Problem 3: 12 points Problem 4: 20 points Problem 5: 8 points Problem 6: 16 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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Exam 6, Spring 2008 page 1 Dt DV Dt DA Problem 2 (15 points): Consider the vector field A and the associated vector field V: k V j V i V V z y x ˆ ˆ ˆ + + = arrowrightnosp ) ˆ ˆ ˆ )( ( k j i c b a A + + + + = arrowrightnosp 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. ∇× V •V V •A A 2 V (V• )A (V• )V Scalar not possible not possible for this course
Exam 6, Spring 2008 page 2 Problem 2 (10 points) The velocity of a particular flow field is given by: 3 2 ˆ ˆ ( ) V t x i xyz j = + + harpoonrightnosp What is the acceleration of the flow?

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Exam6_2008_Solutions - NAME Officially Enrolled in ME or...

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