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Piston flow in a two-dimensional channel

Phys. Fluids 12, 1240 (2000); doi:10.1063/1.870373

Issue Date: May 2000

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Fotini V. Katopodes
Department of Civil & Environmental Engineering, Stanford University, Stanford, California 94305

A. M. J. Davis
Department of Mathematics, University of Alabama, Tuscaloosa, Alabama 35487

H. A. Stone
Division of Engineering & Applied Sciences, Harvard University, Cambridge, Massachusetts 02138
A solution using biorthogonal eigenfunctions is presented for viscous flow caused by a piston in a two-dimensional channel. The resulting infinite set of linear equations is solved using Spence's optimal weighting function method [IMA J. Appl. Math. 30, 107 (1983)]. The solution is compared to that with a shear-free piston surface; in the latter configuration the fluid more rapidly approaches the Poiseuille flow profile established away from the face of the piston. ©2000 American Institute of Physics.
History: Received 20 September 1999; accepted 11 January 2000
Permalink: http://link.aip.org/link/?PHFLE6/12/1240/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.60.+i
    Fluid dynamics Flows in ducts, channels, nozzles, and conduits
  • YEAR: 2000

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ISSN:
1070-6631 (print)   1089-7666 (online)
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