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 languageEnglish (US)
Pages (from-to)1240-1243
Number of pages4
JournalPhysics of Fluids
Volume12
Issue number5
DOIs
StatePublished - May 2000

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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