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The National Science Foundation
ME 537 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

Most natural and manmade aerosols carry charges, and their behavior is strongly affected by their charge.  In this section the consequences of charges on dynamic of aerosols are discussed.  A brief review of electrodynamics is first presented. The Maxell equations governing electrodynamics are listed in Table 1.

Table 1.  Electrodynamics equations.

Maxwell’s Equations

Gaussian Units

MKS Units

Coulomb’s Law

Ampere’s Law

Faraday’s Law

Absence of Free Magnetic Poles

Continuity Equation

 

Constitutive equations for free space are given as:

(1)
(2)

Ohm’s Law is given by

(3)

In these equations:

D = Electric Displacement                      c = Speed of Light
B = Magnetic Induction                           = Dielectric Constant
E = Electric Field                                     = Permeability
H = Magnetic Field                                 = Conductivity
J = Current                                             = Charge Density

Note that 1 electronic unit of charge =  Statcoulombs =  Coulombs (MKS).  A conversion table for different physical quantities are given in Table 2.

Table 2. Conversion Table

Physical Quantities

Symbol

MKS

Gaussian

Length

1 meter (m)

10centimeter (cm)

Mass

m

1 kilogram (kg)

103 gram (gm)

Time

t

1 second (s)

1 second (s)

Force

F

1 newton (N)

105 dynes

Work, Energy

W, U

1 joule (J)

107 ergs

Power

P

1 watt (W)

107 ergs/s

Charge

q

1 coulomb (coul)

 statcoulomb

Charge Density

1 coul/m3

 statcoul/cm3

Current

I

1 ampere (coul/s)

 statampere

Current Density

J

1 amp/m2

 statamp/cm2

Electric Field

E

1 volt/m

 statvolt/cm

Electric Potential

V

1 volt

 statvolt

Polarization

P

1 coul/m2

 dipole moment/cm3

Displacement

D

1 coul/m2

 statcoul/cm2 (statvolt/cm)

Conductivity

1 mho/m

 1/s

Resistance

R

1 ohm

 s/cm

Capacitance

C

1 farad

 cm

Magnetic flux

F

1 weber

 gauss cm2 (maxwell)

Magnetic induction

B

1 weber/m2

 gauss

Magnetic field

H

1 amp-turn/m

oersted

Magnetic Induction

M

1 amp/m

 magnetic moment/ cm3

Inductance

L

1 henry

For accurate works, all factors of 3 in the coefficients should be replaced by 2.99793.

 



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