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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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 |
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