Consider irrotational flow at velocity U past a stationary sphere of radius R, with coordinates as in Fig. 8.7.

(a) As in Example 9.2-1, the velocity potential is a separable function. Show that

and find v_r(r, θ) and v_θ(r, θ).

(b) Show that the pressure at the sphere surface is

(c) Confirm that F_D = 0 if the fluid is inviscid.

Transcribed Image Text:

R 8 Z