Exam_final_2004_v3

Exam_final_2004_v3 - EGN 6812 - Fluid Mechanics I Fall 2004...

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EGN 6812 - Fluid Mechanics I – Fall 2004 12/17/04, Final Exam Name: ____________ _________ 1/12 Questions: (40 points total, 3 points each, unless otherwise marked) 1. State the 5 conditions for incompressibility discussed in class (5 equations and/or sentences describing each condition) ( 10 points total ). 2. Provide a physical explanation of Stokes’ hypothesis ( i.e., not an equation) and describe when it is valid for the specific case of a polyatomic molecule in a compressible flow . Give an example of when Stoke’s hypothesis fails for this case. 3. For inviscid flow around a bend, does the pressure increase, decrease, or remain the same in the outward direction from the bend (or radius of curvature is increasing)?
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EGN 6812 - Fluid Mechanics I – Fall 2004 12/17/04, Final Exam Name: ____________ _________ 2/12 Questions:(40 points total, 3 points each, unless otherwise marked) 4. Mathematically show the physical meaning of the Reynolds number in terms of vorticity dynamics. 5. For flow in a duct driven by an oscillatory pressure gradient there is an overshoot in the velocity profile near the wall (i.e., the maximum velocity profile does not occur at the center line. Physically describe why this occurs. 6. In ideal flow, it is common to employ superposition solutions of various individual solutions to Laplace’s equation in terms of the streamfunction and/or velocity potential. Is it also valid to superimpose pressure fields of each individual solution? Please justify your answer mathematically and/or physically. 7. According to Morton’s vorticity paper, describe the generation, transport and decay of vorticity in a fully developed, 2-D, steady, incompressible pressure driven flow in a slot.
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EGN 6812 - Fluid Mechanics I – Fall 2004 12/17/04, Final Exam Name: ____________ _________ 3/12
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Exam_final_2004_v3 - EGN 6812 - Fluid Mechanics I Fall 2004...

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