An incompressible stream function is defined by Ψ (x, y) = Y/L2 (3x2y - y3) Where U

Question:

An incompressible stream function is defined by Ψ (x, y) = Y/L2 (3x2y - y3)
Where U and L are (positive) constants, where in this chapter are the streamlines of this flow plotted? Use this stream function to find the volume flow Q passing through the Fig. E4.7 rectangular surface whose corners are defined by (x, y, z) = (2L, 0, 0), (2L, 0, b), (0, L, b), and (0, L, 0). Show the direction of Q.

An incompressible stream function