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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 537 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

The solution satisfying both equations (27) and (28) is given as

(29)

where  is a constant. From (29) it follows that

(30)

The general solution to equation (30), which is the summation of the homogeneous and particular solutions, is given as

(31)

Using (31) in (22), the expression for the stream function becomes

(32)

The constant , , and  may now be determined by using the boundary conditions given by (17) and (18). These become

,   ,   and   (33)

The final expression for the stream function becomes

(34)

where .


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