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Particle Equation of Motion (BBO-Equation)
The general equation of motion of a small spherical particle
suspended in fluid is given as
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(1)
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where
 ,
- a is the radius of the spherical particle,
- vi is the particle velocity,
- ui[y(t),t] is the fluid velocity at the particle location,
- μ is the viscosity,
- υ is the kinematic viscosity,
- ρp is the particle density,
- ρf is the fluid density,
- gi(t) is the acceleration of gravity, and
- y(t) is the location of the particle.
Saffman's (1965, 1968) lift force Li and
the acoustical force Fi are added to Equation (1) for completeness.
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