The boundary integral method applied to a body in a Stokes flow near an infinite plane
Abstract
A boundary integral method is described in which the surface tractions on a body in a viscous flow near an infinite plane are obtained. The method uses a singular solution for a point force in a viscous fluid near the infinite plane. The body is represented by a distribution of the singular solution over its surface, and the density of this distribution is also the magnitude of the surface tractions. This approach leads to an integral equation for the unknown surface tractions, in terms of body shape and orientation with respect to the plane, and the prescribed velocity at the particle surface.
 Publication:

Ph.D. Thesis
 Pub Date:
 1987
 Bibcode:
 1987PhDT........21P
 Keywords:

 Attitude (Inclination);
 Boundary Integral Method;
 Integral Equations;
 Shapes;
 Stokes Flow;
 Surface Properties;
 Traction;
 Numerical Integration;
 Problem Solving;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer