Question

The combination of a uniform flow and a source can be used to describe flow around a streamlined body called a half-body (see the Video). Assume that a certain body has the shape of a half-body with a thickness of 0.16 m. If this body is placed in an air stream moving at 20.6 m/s, what source strength is required to simulate flow around the body

Answer 1

m = 41.39 m/s

Step-by-step explanation:

For the source alone , we can write next equation.

V_r = m/2πr

Stagnation point will occur where r=b, thus;

V = m/2πb

Now we can find source strength, and therefore we have;

m = 2*π*b*V

b = 0.16/2*π

b = 0.0254

m = 2*π*0.32*20.6

m = 41.39 m/s