Consider the incompressible, two-dimensional flow of a nonviscous fluid between the boundaries shown in Fig. P6.22. The
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Consider the incompressible, two-dimensional flow of a nonviscous fluid between the boundaries shown in Fig. P6.22. The velocity potential for this flow field is
\[ \phi=x^{2}-y^{2} \]
(a) Determine the corresponding stream function.
(b) What is the relationship between the discharge, \(q\) (per unit width normal to plane of paper) passing between the walls and the coordinates \(x_{i}, y_{i}\) of any point on the curved wall? Neglect body forces.
Figure P6.22
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Related Book For
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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