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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics

Particle Adhesion
Simulation Methods
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The National Science Foundation
ME 437 The National Science Foundation
 Viscous Flows
Navier-Stokes Equation, Vorticity, Stream Function | Exact Solutions | Drag on Spherical Particles | Creeping Flows | Nonspherical Particles

Hydrodynamic Forces and Torques for a Nonspherical Particle

Oblate Spheroid in a Uniform Flow

For brevity, let
,   (12)

Then  and z may be expressed as

(13)

(14)

The ranges of variation of  and  then are

,   (15)

For obtaining the flow field around the spheroid, the biharmonic creeping flow equation given by

(16)

must be solved. The boundary conditions are

,  

,   (17)

,   as   ( or  ) (18)



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