Viscoelastic mobility problem using a boundary element method

In this paper, the complete double layer boundary integral equation formulation for Stokes ‡ows is extended to viscoelastic ‡uids to solve the mobility problem for a system of particles, where the non-linearity is handled by particular solutions of the Stokes inhomogeneous equation. Some techniques of the meshless method are employed and a point-wise solver is used to solve the viscoelastic constitutive equation. Hence volume meshing is avoided. The method is tested against the numerical solution for a sphere settling in the Odroyd-B ‡uid and some results on a prolate motion in shear ‡ow of the Oldroyd-B ‡uid are reported and compared with some theoretical and experimental results.