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

Particle Adhesion
Colloids
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ME 637 The National Science Foundation
Colloids
Introduction to Colloids | Double Layer Forces | Electrokinetic Phenomena

Colloids

Debye-Huckel Approximation

For low potential  and

(12)

Using (12) in (11) and noting the neutrality condition of the burk suspension,

(13)

it follows that

(14)

where

Calculation Models

Debye Huckel Flat Surface

Debye Huckel Flat Surface


Debye Huckel Spherical Surface

Debye Huckel Spherical Surface


(15)

is the Debye-Huckel parameter.

The solution of (14) for double layer adjacent to a flat plate is given as

(16)

For double layer near a spherical particle of radius ,

(17)

In (16) and (17),  by

(18)

where  varies from less than 1 nm to about 100 nm.



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