A source and a sink with strengths of equal magnitude, q 5 3π m2 /s, are placed on the x axis at x 5 2a and x 5 a, respectively. A uniform flow, with speed U 5 20 m/s, in the positive x direction, is...

A source and a sink with strengths of equal magnitude, q 5 3π m2

/s, are placed on the x axis at x 5 2a and x

5 a, respectively. A uniform flow, with speed U 5 20 m/s, in

the positive x direction, is added to obtain the flow past a

Rankine body. Obtain the stream function, velocity potential, and velocity field for the combined flow. Find the value

of ψ 5 constant on the stagnation streamline. Locate the

stagnation points if a 5 0.3 m.