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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics

Particle Adhesion
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ME 537 The National Science Foundation
 Particle Adhesion
Van der Waals Force | JKR and Other Adhesion Models | Particle Adhesion & Removal | Effects of Charge | Effect of Humidity | Ultrasonic and Megasonic Cleaning

JKR and Other Adhesion Models

JKR Model

 Equation (1) in nondimensional form may be restated as
(14)

where the nondimensional external force and contact radius are defined as
,   (15)

Calculation Models

JKR-DMT 1

JKR-DMT 1


JKR-DMT 2

JKR-DMT 2


Variation of the nondimensional contact radius with the nondimensional force is shown in Figure 2. Note that for , Equation (14) and Figure 2 shows that .

The corresponding resistance moment about point O in Figure 1 as a function of nondimensional force is given as
(16)

Figure 3 shows the variation of the resistance moment as predicted by the JKR model. The corresponding maximum resistance moment then is given by
(17)

and
(18)

The resistance moment at  is . Also

(19)

 

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