Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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


Authors: K. Ma and D. W. Pravica
Journal: Quart. Appl. Math. 50 (1992), 743-757
MSC: Primary 76D07
DOI: https://doi.org/10.1090/qam/1193664
MathSciNet review: MR1193664
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Abstract | References | Similar Articles | Additional Information

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.


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DOI: https://doi.org/10.1090/qam/1193664
Article copyright: © Copyright 1992 American Mathematical Society


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