A source and a sink with strengths of equal magnitude, (q=3 pi mathrm{m}^{2} / mathrm{s}), are placed

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A source and a sink with strengths of equal magnitude, \(q=3 \pi \mathrm{m}^{2} / \mathrm{s}\), are placed on the \(x\) axis at \(x=-a\) and \(a\), respectively. A uniform flow, with speed \(U=20 \mathrm{~m} / \mathrm{s}\), in the positive \(x\) direction, is added to obtain the flow past a Rankine body. Obtain the stream function, velocity potential, and velocity field for the combined flow. Find the value of \(\psi=\) constant on the stagnation streamline. Locate the stagnation points if \(a=0.3 \mathrm{~m}\).

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Fox And McDonald's Introduction To Fluid Mechanics

ISBN: 9781118912652

9th Edition

Authors: Philip J. Pritchard, John W. Mitchell

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