Superimpose a uniform ?ow parallel to the x-axis of 10 m=s and a source at the origin of strength q ¼ 10p m2/s.
(a) Write the velocity potential f and stream function c.
(b) Locate any stagnation points.
(c) Sketch the body formed by the streamline that separates the source ?ow from the uniform ?ow.
(d) Locate the positive y-intercept of the body of (c).
(e) Determine the thickness of the body of (c) at x ¼ -1.