Exam2 - AME 331 Exam 2 Fall 2010 Prof. Jesse Little 11/5/10...

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AME 331 Exam 2 Fall 2010 Prof. Jesse Little 11/5/10 1. (30 points) A velocity field is given by: ⃗± ² ³´µ¶̂ · ³¸µ¹̂ . This represents a solution to the Navier-Stokes equation for a fluid with constant density, ρ =1.2 kg/m 3 , and constant viscosity, μ =2x10 -5 N*s/m 2 . Body forces are negligible. a. Verify that the flow is incompressible (5 points). b. Is the flow irrotational (5 points)? c. Find the acceleration of a fluid particle at x=y=2 m and t=0 in vector form (10 points). d. Determine the pressure gradient at x=y=2 m and t=0 in vector form (10 points). 2. (40 points) Water flows steadily with negligible viscous effects through the pipe shown. It is known that the 4 inch diameter section of thin-walled tubing will collapse if the pressure within it becomes less than -1440 lb/ft 2 . Determine the max value that
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This note was uploaded on 08/25/2011 for the course AME 331 taught by Professor Zohar during the Fall '08 term at Arizona.

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