Biorthogonality condition for axisymmetric stokes flow in spherical geometries

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.

Keywords

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