International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 9, Pages 613-616
doi:10.1155/S0161171200004002

Biorthogonality condition for creeping motion in annular trenches

Suheil A. Khuri

Department of Computer Science, Mathematics and Statistics, American University of Sharjah, P.O. Box 26666, Sharjah, United Arab Emirates

Abstract

The biorthogonality condition for Stokes flow in annular trenches bounded by horizontal parallel planes and concentric vertical cylinders is derived. This condition, is needed to compute the coefficients of the eigenfunction expansion solution of the corresponding Stokes flow problem.