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Exam_2_2003

Exam_2_2003 - EGN 6812 Fluid Mechanics I Fall 2003 Final...

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EGN 6812 - Fluid Mechanics I – Fall 2003 12/18/03, Final Exam Name: ______________________ 1/11 Questions: (50 points total, 4 points each, unless otherwise marked) 1. 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 ( 8 points total ). 2. What does Kelvin’s theorem state? 3. State the 5 conditions for incompressibility (5 equations and/or sentences describing each condition) ( 10 points total ).

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EGN 6812 - Fluid Mechanics I – Fall 2003 12/18/03, Final Exam Name: ______________________ 2/11 Questions: (50 points total, 4 points each, unless otherwise marked) 4. What are the conditions under which both the streamfunction and the velocity potential identically satisfy Laplace’s equation? Which conservation law is satisfied by solving Laplace’s equation for ideal flow? 5. 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. 6. What does the Kutta-Jouikowski Law state? 7. For a plane acoustic wave traveling parallel to a flat, infinite plane, how does the shear stress acting on the surface scale as a function of viscosity and frequency if the pressure amplitude is related to the particle velocity by Pc U ρ = ?
EGN 6812 - Fluid Mechanics I – Fall 2003 12/18/03, Final Exam Name: ______________________ 3/11

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Exam_2_2003 - EGN 6812 Fluid Mechanics I Fall 2003 Final...

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