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Engineering Mathematics
Review of Viscous Flows
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The National Science Foundation
ME 437 The National Science Foundation
 Aerosols
Introduction to Aerosols | Drag, Lift Forces | Aerosol Kinetics | Virtual Mass, Basset Forces & BBO Equation | Nonspherical Particles | Brownian Motions | Particle Deposition Mechanisms | Electrodynamics | Aerosol Coagulation |

Particle Equation of Motion (BBO-Equation)

The general equation of motion of a small spherical particle suspended in fluid is given as

(1)

    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.



Dr. Goodarz Ahmadi | Turbulence & Multiphase Fluid Flow Laboratory | Department of Mechanical & Aeronautical Engineering
Copyright © 2002-2005 Dr. Goodarz Ahmadi. All rights reserved.
Potsdam, New York, 13699
ahmadi@clarkson.edu