The stream function for an incompressible flow field is given by the equation [ psi=3 x^{2} y-y^{3}

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The stream function for an incompressible flow field is given by the equation

\[ \psi=3 x^{2} y-y^{3} \]

where the stream function has the units of \(\mathrm{m}^{2} / \mathrm{s}\) with \(x\) and \(y\) in meters.

(a) Sketch the streamline(s) passing through the origin.

(b) Determine the rate of flow across the straight path \(A B\) shown in Fig. P6.20.

Figure P6.20

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Related Book For  book-img-for-question

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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