Consider the incompressible, two-dimensional flow of a nonviscous fluid between the boun...

Consider the incompressible, two-dimensional flow of a nonviscous fluid between the boundaries shown in Fig. P6.32. The velocity potential for this flow field is

(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.