Hydrodynamic Forces and Torques for a Nonspherical Particle
Oblate Spheroid in a Uniform Flow
The solution satisfying both equations (27) and (28) is given as
|
(29)
|
where
is a
constant. From (29) it follows that
|
(30)
|
The general solution to equation (30), which is the summation of the
homogeneous and particular solutions, is given as
|
(31)
|
Using (31) in (22), the expression for the stream function becomes
|
(32)
|
The constant ,
, and
may now
be determined by using the boundary conditions given by (17) and (18). These become
The final expression for the stream function becomes
|
(34)
|
where . |