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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics
Review of Turbulence and Turbulence Modeling

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ME 637 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 |

Aerosol Kinetics

Equation of Motion

Consider an aerosol particle in a fluid flow as shown in figure 1. The equation of motion of a sphericle aerosol particle of mass m and diameter d is given as

(1)

Here up is the particle veolocity, uƒ is the fluid veolocity, g is the acceleration of gravity and the buoyancy effect in air is neglected. Here it is assumed that the particle is away from walls and Stokes drag is assumed.

Dividing Equation 1 by and rearranging, we find

(2)

where the particle response(relaxation)time is defined as

(3)

where , ν is the kinematic viscosity of the fluid and S = ρpf is the density ratio. In practice, for non-Brownian particles, Cc≈1 and

(4)



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