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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics
Review of Turbulence and Turbulence Modeling

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ME 637 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

Oseen Drag for a Cylinder

 The creeping flow equation does not accept a solution for flow over a cylinder. The Oseen approximation, however, converges and leads to the following expression for the drag coefficient for a cylinder:

Here

Empirical Formula

For larger Reynolds number, the following empirical equations for spherical and cylindrical particles may be used:

Drag on a Droplet

The expression for the drag action on a droplet in Stokes flow region is given by

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