Hydrodynamic Forces and Torques for a Nonspherical Particle

Oblate Spheroid in a Uniform Flow

Note that here

,

(19)

are used.

Using (19), the operator

(20)

may be restated as

(21)

The boundary conditions suggest a solution in the form,

(22)

Substituting this solution into equation (16) and using (21), yields (Happel and Brenner)

(23)

where

(24)

Here

(25)

was used. From (23) it follows that

(26)

It is noted that the first term in (26) depends only on , while the second term depends on  and . The equation can be satisfied only if

(27)

and

(28)