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Engineering Mathematics
Review of Viscous Flows
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Particle Adhesion
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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

van der Waals Force Near a Surface

The van der Waals for a sphere near a surface as shown in Figure 1 is given by
, (4)
where  is the Hamaker constant for substances 1 and 2 in presence of medium 3, and  is separation distance. For a particle attached to a wall,  is about 4 to 10 .  Typically is used.

Figure 1. Schematics of a particle near a wall.

For cylinder-planar surface contacts shown in Figure 2,
, (5)

Figure 2. Schematics of a cylindrical particle near a wall.

For two planar surfaces shown in Figure 3,
, (6)

   

Figure 3. Schematics of a two planar surface at a separation distance of z0.



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