Date of Award


Publication Type

Master Thesis

Degree Name



Mathematics and Statistics






This thesis deals with the study of some stability and flow problems of magnetic fluids. In the first problem, the effect of rotation on the thermo-convective instability of a horizontal layer of a ferromagnetic fluid which is heated from below and influenced by a uniform vertical magnetic field is studied. The problem is analyzed when the fluid is confined between two free boundaries, between two rigid paramagnetic boundaries and between two rigid ferromagnetic boundaries. An exact solution is obtained for the free boundaries. A Galerkin technique is used to obtain the solutions for the paramagnetic and ferromagnetic boundaries. A comparative study of the convective phenomenon on these boundaries is presented. The effects of buoyancy and magnetic field on the stationary convection is studied for all the three boundaries. The effect of the magnetic susceptibility on the instability is studied for the paramagnetic boundaries. In the second problem, hodographic study of plane, steady flows of magnetic fluids is presented. Equations obtained, using the low frequency approximation of the magnetization, are transformed and studied in the hodograph plane. The corresponding equations in the polar coordinates are also obtained. (Abstract shortened by UMI.)Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1992 .V455. Source: Masters Abstracts International, Volume: 31-04, page: 1811. Thesis (M.Sc.)--University of Windsor (Canada), 1992.