The stream function for a two-dimensional, nonviscous, incompressible flow field is given by the expression
where the stream function has the units of ft2/s with x and y in feet.
(a) Is the continuity equation satisfied?
(b) Is the flow field irrotational? If, so, determine the corresponding velocity potential.
(c) Determine the pressure gradient in the horizontal x direction at the point x= 2 ft, y= 2 ft.