Hydrodynamic Forces and Torques for a Nonspherical Particle

Oblate Spheroid in a Uniform Flow

For an oblate spheroid translating with a velocity U in an otherwise quiscent fluid, the solution may be obtained by subtracting  from equation (34), i.e.

(35)

 The force exerted on the spheroids can be obtained by using (34) or (35) in Equations (8) or (9). Since  at large distances from the spheroid

(36)

It then follows that

(37)

Equation (37) may be expressed as

(38)

where

(39)

is the shape factor. Note that  and .