Creeping Flows

General Solution in Spherical Coordinate

In the absence of body force the general solution for creeping motion in spherical coordinates was given by Lamb. From (3) it follows that

(14)

where

(15)

with

are spherical harmonics. The corresponding expression for the velocity field is given as

(16)

where  are also spherical harmonics similar to those given by (14).

Expressions for the stress field and the corresponding drag and torque were given by Happel and Brenner (pages 66-67).