Use the velocity field in Problem 5.4 to show that

for flow at small Re (creeping flow) past a solid sphere. You may assume that all inertial terms in the Navier–Stokes equation are negligible for this flow.

Data from Problem 5.4:

For flow past a solid sphere with coordinates as in Fig. P5.1 and with UR/ν → 0,

as shown in Example 8.3-2. Show that this is not an irrotational flow. Where is the vorticity largest and where is it smallest?

Transcribed Image Text:

P(r.0)= 2 3 μU (R (²)³* 2 R COS ( (P6.7-1)