Piston flow in a two-dimensional channel

Fotini V. Katopodes; A. M.J. Davis; Howard A. Stone

doi:10.1063/1.870373

Piston flow in a two-dimensional channel

Fotini V. Katopodes, A. M.J. Davis, Howard A. Stone

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1240-1243
Number of pages	4
Journal	Physics of Fluids
Volume	12
Issue number	5
DOIs	https://doi.org/10.1063/1.870373
State	Published - May 2000

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.870373

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abstract = "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.",

author = "Katopodes, {Fotini V.} and Davis, {A. M.J.} and Stone, {Howard A.}",

year = "2000",

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AB - 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.

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Piston flow in a two-dimensional channel

Abstract

All Science Journal Classification (ASJC) codes

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