Biorthogonality condition for creeping flow in wedge-shaped trenches

摘要

In the present paper, we derive the biorthogonality condition for Stokes flow in wedge-shaped trenches bounded by radial lines and concentric circles centered at the vertex of the wedge. This condition, is a property satisfied by the eigenfunctions and adjoint eigenfunctions needed to compute the coefficients of the eigenfunction expansion solution of the corresponding Stokes flow problem.