Numerical solution to the Stokes equations for flow past 2 spheres and a chain of particles attached to a sphere, with an application to filter clogging
Abstract
Experimental investigations in recent years have revealed that particles captured in a filter do not become evenly distributed on the surface of a collector. Rather long chains of particles called dendrites form, and these dendrites cause an increase in both the efficiency of the filter and the pressure drop across the filter. The effect of a dendrite on the flow field around a collector, as well as the increase in the drag on the collector resulting from the presence of the dendrite is examined. Slender body theory is applied in the development of a numerical solution to the Stokes equations for flow past a multiparticle dendrite attached to a sphere. The solution consists of a superposition of singularities in the flow, the strengths of which are determined numerically. To satisfy the boundary condition on the surface of the sphere, we employ the image system for a stokeslet in the presence of a sphere that was developed by Oseen.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1982
- Bibcode:
- 1982PhDT........22H
- Keywords:
-
- Dendritic Crystals;
- Drag;
- Flow Velocity;
- Fluid Filters;
- Fluid Flow;
- Hydrodynamic Coefficients;
- Numerical Analysis;
- Spheres;
- Boundary Conditions;
- Boundary Layers;
- Error Functions;
- Imaging Techniques;
- Pressure Effects;
- Stokes Law (Fluid Mechanics);
- Fluid Mechanics and Heat Transfer