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

Transcribed Image Text:

B (x, y) V = 0