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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics

Particle Adhesion
Simulation Methods
Experimental Techniques
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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

Creeping Flow Past a Sphere

Now let

Equation (2) then becomes

Equation (4) is an Euler differential equation, which accepts a power law solution. That is

Substituting (6) into (5), it follows that 

Roots of the characteristic equation given by (7) are

Thus, the general solution is given as

Using (4), the boundary conditions given by Equation (3) becomes

Comparing the expression given by (9) as

Using boundary conditions given by (10), it follows 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