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Application of the Cosserat Spectrum Theory to Stokes Flow

[+] Author and Article Information
W. Liu, A. Plotkin

Department of Aerospace Engineering and Engineering Mechanics, San Diego State University, San Diego, CA 92182

J. Appl. Mech 66(3), 811-814 (Sep 01, 1999) (4 pages) doi:10.1115/1.2791761 History: Received August 15, 1997; Revised July 08, 1998; Online October 25, 2007

Abstract

This paper presents an application of the Cosserat spectrum theory in elasticity to the solution of low Reynolds number (Stokes flow) problems. The velocity field is divided into two components: a solution to the vector Laplace equation and a solution associated with the discrete Cosserat eigenvectors. Analytical solutions are presented for the Stokes flow past a sphere with uniform, extensional, and linear shear freestream profiles.

Copyright © 1999 by The American Society of Mechanical Engineers
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