Stokes flow around a bend
S. A. Khuri, C. Y. Wang
Source 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 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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