Stokes flow in a two-dimensional spatially periodic boundary driven by a combination of line singularities-Reference-Cited by-同舟云学术

Stokes flow in a two-dimensional spatially periodic boundary driven by a combination of line singularities

Published:1992 Issue:4 Volume:50 Page:743-757
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Ma K.,Pravica D. W.

Abstract

The analytical solution is obtained for two-dimensional creeping flow generated by a source-sink combination located on a spatially periodic boundary. Separation is found to occur when the source and sink are located on concave regions of the boundary. The velocity profile of the two-dimensional Poiseuille flow for a channel is compared to that of the circle problem and the rough channel obtained from the analytical solution. It is found that the mid-channel velocity (or pressure gradient) of the rough case is greater (less) than that of the circle problem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1992-50-04/S0033-569X-1992-1193664-2/S0033-569X-1992-1193664-2.pdf

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