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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics

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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

Circular Disk

 The solution for a disk of radius a moving perpendicular to its plane as shown in Figure 3 is obtained by letting  in equation (35), i.e.,

(40)

Figure 3. Schematic of a circular disk in creeping flow motion.

The corresponding force acting on the disk is given as
(41)

(For more details see Happel & Brenner Low Reynolds Number Hydrodynamics, pp. 145-149.)



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