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Unformatted text preview: EGM 6812  Fluid Mechanics I – Fall 2010 12/17/10, Final Exam Name: __________________ _____________ 1/12 Questions:(30 points total, 3 points each, unless otherwise marked) 1. 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. 2. Consider a leftrunning gravity wave, ( ) , ( ) x t g x c t η = + . Mathematically determine characteristic line for a given phase front. EGM 6812  Fluid Mechanics I – Fall 2010 12/17/10, Final Exam Name: __________________ _____________ 2/12 Questions:(30 points total, 3 points each, unless otherwise marked) 3. 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? 4. A 3D point source has the velocity field, 2 4 r m V r π = . Show that the strength of the point source equals the volumetric flow rate. (6 points) 5. For axisymmetric potential flows in a spherical coordinate system, can you use complex potentials? Justify your answer. EGM 6812  Fluid Mechanics I – Fall 2010 12/17/10, Final Exam Name: __________________ _____________ 3/12 Questions: (30 points total, 3 points each, unless otherwise marked) 6. In comparing ideal flows over a cylinder and sphere, comment on the differences between the maximum velocities. differences between the maximum velocities....
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This note was uploaded on 01/17/2012 for the course EGM 6812 taught by Professor Renweimei during the Fall '09 term at University of Florida.
 Fall '09
 RENWEIMEI
 Fluid Mechanics, Superposition, Laplace

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