Stokes flow around a bend

Khuri, S. A.; Wang, C. Y.

doi:10.1090/qam/1466150

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: 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 $C^{3}$ 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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