The velocity potential for a spiral vortex flow is given by (phi=) ((Gamma / 2 pi) theta-(m

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The velocity potential for a spiral vortex flow is given by \(\phi=\) \((\Gamma / 2 \pi) \theta-(m / 2 \pi) \ln r\), where \(\Gamma\) and \(m\) are constants. Show that the angle, \(\alpha\), between the velocity vector and the radial direction is constant throughout the flow field (see Fig. P6.44).

Figure P6.44

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Munson Young And Okiishi's Fundamentals Of Fluid Mechanics

ISBN: 9781119080701

8th Edition

Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

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