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

Particle Adhesion
Colloids
Simulation Methods
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The National Science Foundation
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 |

Electrodynamics

Field Strength

The electrostatic potential V satisfies a Poisson equation given as

,                                                                                          (26)

where  is the space charge per unit volume.  Then electric field is given as

,                                                                                              (27)

Particle Drift in an Electric Field

The equation of motion of a particle in an electric field is given by

,                                                                            (28)

where the forces are due to drag, gravity, and electric field.  Equation (28) may be restated as

,                                                                    (29)

Equation (29) may be restated as

,                                                                        (30)

where .  Suppose  is in the same direction as , non-dimensionalizing with respect to , we find

,                                                                              (31)

where

,                                                                                (32)

If , then the electrical force dominates.  In this case, if the inertia is also neglected, we find

    or   ,                                                                        (33)

In addition to the gravitational and electrical forces, particles could experience forces induced by temperature gradient, concentration gradient, and electromagnetic radiation.  These are discussed in the next section.



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