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# hw_11 - b Assume the fluid is air at room temperature ρ =...

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Due: In class, Friday December 9, 2005 Name(s) (up to three students per homework set) : 1. 2. 3. For instructor or TA use only: Problem Score Points 1 10 2 25 3 20 4 10 5 10 6 15 7 10 ME 33 Fall Semester, 2005 Homework Set # 11 – Last one! Professor J. M. Cimbala Total: 100 1 . (10 pts) Text Problem 7.51 . 2 . (25 pts) Text Problem 8.68 . 3 . (20 pts) Consider steady, incompressible, laminar flow that is two-dimensional in the x-y plane. Ignore gravity effects. The x -component of velocity is u = 4 x + 3. ( a ) Calculate the y -component of velocity, v . ( b ) Regardless of your answer to Part (a), set v = 4 y + 2, and calculate the stream function ψ ( x , y ). ( c ) Generate an expression for the pressure field associated with this velocity field, i.e., calculate P ( x , y ). Is this a valid steady, two-dimensional, incompressible, laminar flow field? Explain. 4 . (10 pts) Text Problem 10.56 . 5 . (10 pts) Text Problem 10.84 . 6 . (15 pts) Text Problem 11.23 . Do the text problem as part ( a ). Additional Parts
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Unformatted text preview: : ( b ) Assume the fluid is air at room temperature ( ρ = 1.2 kg/m ⋅ s), the freestream velocity is 55.0 m/s, and the characteristic area of the body is 0.510 m 2 . Calculate the drag coefficient and lift coefficient. ( c ) Suppose a 1/4 th-scale model is tested in a wind tunnel using the same air. How fast should the wind tunnel be run? Do you notice any problem with this? Explain. Any suggestions about what to do about the problem? 7 . (10 pts) A blimp is 50.0 m long and 6.25 m in diameter. As a simple approximation, we assume that the blimp is the shape of an ellipsoid , aligned with its long axis parallel to the flow direction. A propeller at the back of the blimp provides thrust. It moves through still air at 12.0 m/s. The density of the air is 1.2 kg/m 3 . Assume that the flow is turbulent . ( a ) Calculate the power required to fly the blimp through the air. ( b ) Does the blimp generate any lift? Explain....
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