WIT Press


Preconditioned Iterative Solution Of The Corrected Mobility Problem

Price

Free (open access)

Paper DOI

10.2495/BE030161

Volume

35

Pages

10

Published

2003

Size

531.92 kb

Author(s)

A. A. Mammoli

Abstract

Preconditioned iterative solution of the corrected mobility problem A. A. Mammoli Department of Mechanical Engineering, University of New Mexico, USA Abstract Boundary integral equation methods are, on the surface, ideally suited for the description of the motion of rigid particles in flowing concentrated suspensions. However, several difficulties exist, the principal one being the treatment of the flow in regions of fluid bounded by surfaces in close proximity to one another. In such regions, the flow is not represented accurately, resulting in poor relative velocity and macroscopic rheological behavior predictions. Recently, analytic lubrication solutions describing the forces arising from the relative motion between two particles have been used to correct the boundary integral equation, with very promising results. The main difficulty found in that approach lies in the evaluation of the lubrication forces. These are a linear function of the velocity, and as a consequence they can be incorpor

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