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Fluids-HW5 - 530.328 Fluid Mechanics II Spring 2009...

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530.328 - Fluid Mechanics II Spring 2009 Homework #5 – Potential Flow - Due date: Thursday April 9 1. A flow field is formed by combining a clockwise vortex, with strength , located at the origin, and a uniform flow in the negative x direction (right to left), with magnitude . Obtain the stream function, velocity potential, and velocity field for this flow field. Find the stagnation point(s) for the flow and indicate their location in both polar and Cartesian coordinates. 2. For the flow with velocity U past a circular cylinder with radius , show that along the lines (r, θ )=(r, ). Also find the distance beyond which the influence of the cylinder is less than 2 percent of U. 3. Consider flow around a circular cylinder (radius , located at origin) with circulation. The freestream velocity is from right to left and the strength of counterclockwise vortex is K. Obtain the pressure distribution and the force applied on the bottom half cylinder.
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