Biorthogonality condition for creeping motion in annular trenches

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.

Keywords

• Eigenvalues
• eigenfunctions
• eigenfunction expansion
• biorthogonality conditions
• Stokes flow.