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hw_4 - assumptions Problem 2 Work Problem 9.10&...

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Problem Set #4 ME 152B Winter, 2009 Due 5pm Friday Feb 13 Reading: Munson, et al, Chapter 8, Section 8.3 (Turbulence); Chapter 6, Sections 6.1.3, 6.4, 6.5, 6.6; Chapter 9, Sections 9.2.6, 9.3. Problem 1 . Work Problem 8.44 Note: This is an open-ended ‘dagger’ problem, which means that the answer requires some discussion and is not unique. In this case, reducing the roughness will reduce the pressure drop, but there is a competing effect, which is that the liner will also reduce the diameter, which for a given flow rate, will tend to increase the velocity. (If it helps your discussion, the guage pressure in water mains in most towns is in the vicinity of 120 psi.) So remember that your answers will be a discussion of the issues involved, but explain all your
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Unformatted text preview: assumptions. Problem 2. Work Problem 9.10 & 9.11. (Hand these in as a single problem) Problem 3. Work Problem 9.17 Problem 4. Work Problem 8.33. Hint: In order to use the “law of the wall”, one needs the friction velocity. You will have to do a non-trivial side calculation in order to determine the wall shear stress. If necessary , assume the fluid is water. Problem 5. Work Problem 9.22. Use the properties of air of the ‘Standard Atmosphere’ in Appendix C. Problem 6. Work Problem 9.37. Problem 7. Work Problem 6.39: Find the velocity field associated with this velocity potential, i.e. find the x- and y-components of velocity, {u,v}. Compute the vorticity directly as ω = ∂ v/ ∂ x – ∂ u/ ∂ y and show that it is zero....
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