Piston flow in a two-dimensional channel

被引:12
|
作者
Katopodes, FV
Davis, AMJ
Stone, HA [1 ]
机构
[1] Harvard Univ, Div Engn & Appl Sci, Cambridge, MA 02138 USA
[2] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA
[3] Stanford Univ, Dept Civil & Environm Engn, Stanford, CA 94305 USA
关键词
D O I
10.1063/1.870373
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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. (C) 2000 American Institute of Physics. [S1070-6631(00)00805-9].
引用
收藏
页码:1240 / 1243
页数:4
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