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Engineering Mathematics
Review of Viscous Flows
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 Particle Adhesion
Van der Waals Force | JKR and Other Adhesion Models | Particle Adhesion & Removal | Effects of Charge | Effect of Humidity | Ultrasonic and Megasonic Cleaning

London-van der Waals Force

Hamaker Constants for Dissimilar Materials

 For two dissimilar materials, the Hamaker constant may be estimated in term of Haymaker constant of each material. That is
(7)
or alternatively
(8)
For contact of two dissimilar materials in the presence of a third media,
(9)
From Equation (8) it follows that
(10)
or
(11)
Lifshitz developed the macroscopic theory relating the Hamaker constant to dielectric constants of the materials. Accordingly,
(12)
Values of  are given in Tables 3 and 4 for a number of materials. (Note that .)


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