Stokes flow around a bend

Authors:
S. A. Khuri and C. Y. Wang

Journal:
Quart. Appl. Math. **55** (1997), 573-600

MSC:
Primary 76D07

DOI:
https://doi.org/10.1090/qam/1466150

MathSciNet review:
MR1466150

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Abstract | References | Similar Articles | Additional Information

Abstract: The matched eigenfunction expansion method is used for solving Stokes flow around a channel bend. The flow region is decomposed into rectangular and cylindrical subregions. This enables the stream function to be represented by means of an expansion of Papkovich-Fadle eigenfunctions in each of these two subregions. The coefficients in these expansions are determined by imposing weak continuity of the stream function across subregion interfaces and then taking advantage of the biorthogonality conditions in both cylindrical and rectangular coordinates.

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DOI:
https://doi.org/10.1090/qam/1466150

Article copyright:
© Copyright 1997
American Mathematical Society