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Flow in a Corner
A second approach (inverse) is where the flowfield shape is sought for a given complex potential F. For example, consider the complex potential
F = BY”,a
where В is real. The stream function in polar coordinates is
4х = Вгл/а sin
It can be seen that W = 0 at 0 = 0 and 6 = a, and therefore this potential represents flow in a corner as shown in Fig. 6.7. The complex velocity is
 |
 |
and at the corner Y = 0, the velocity is zero if a < л and infinite if a > л. If a = л/2, the flow can be considered to be either the flow in a right-angle corner or flow against a horizontal wall. This flow is called stagnation point flow and is shown in Fig. 3.6.
