Question: 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

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

y, m 1.04 0 B A 1.0 x, m

y, m 1.04 0 B A 1.0 x, m

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