International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 10, Pages 711-715
doi:10.1155/S0161171200002891
Biorthogonality condition for axisymmetric Stokes flow in spherical geometries
S.A. Khuri
Department of Computer Science, Mathematics and Statistics, American University of Sharjah, P.O. Box 26666-739, Sharjah, United Arab Emirates
Abstract
We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the coefficients of the eigenfunction expansion solution of the corresponding creeping flow problem.