1. A uniform flow V ¼ 10i m=s is superimposed on a doublet with strength 40 m3=s. Find:

(a) The radius of the cylinder that is formed.
(b) The velocity distribution vyðyÞ on the cylinder.
(c) The locations of the stagnation points.
(d) The minimum pressure on the cylinder if the pressure at the stagnation point is 200 kPa. Water is flowing.

2. Superimpose a uniform flow V ¼ 10i m=s, a doublet m ¼ 40 m3/s, and a vortex. Locate any stagnation points and find the minimum pressure on the cylinder if the pressure of the standard atmospheric air is zero at a large distance from the cylinder. The strength of the vortex is

(a) G ¼ 40p m2=s,

(b) G ¼ 80p m2/s, and

(c) G ¼ 120p m2/s.