Date of Award


Degree Type


Degree Name



Mathematics and Statistics






This work is devoted to the numerical treatment of single-phase fluid flow through porous media and the development and testing of new mathematical models describing the flow of a dusty fluid through porous media. The work is subdivided into two parts. The first part discusses the single-phase fluid flow through a porous domain with curved boundaries and the flow into a line sink. The second part, discusses the development of models describing dusty fluid flow through porous media and considers the flow governed by these new models over curved boundaries and the flow into a line sink, in a manner that parallels the single phase fluid flow, considered in the first part. When the flow is considered over curved boundaries, the von Mises coordinate system is extended to a double transformation which provides a new method of numerically analysing multi-phase flow over curved boundaries. Single-phase and dusty fluid flows through porous media into a line sink are studied in this work to shed some light and to offer further insight into the structure of separated eddies and the effect of permeability on viscous separation. The effect of dust parameters and the flow Reynolds number on viscous separation is also studied. Comparisons are made between various single-phase flow models, and between the different dusty fluid flow models that arise due to the subdivision of the newly proposed models. In the process, a modification of one of the existing single-phase flow models has been proposed. This modification is based on an "artificial vorticity" method.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1989 .H352. Source: Dissertation Abstracts International, Volume: 50-08, Section: B, page: 3512. Thesis (Ph.D.)--University of Windsor (Canada), 1989.