## Electronic Theses and Dissertations

1986

Dissertation

Ph.D.

#### Department

Mathematics and Statistics

Mathematics.

CC BY-NC-ND 4.0

#### Abstract

This dissertation is devoted to a mathematical study to steady magnetohydrodynamic flows. Steady plane flows of viscous incompressible electrically conducting fluid having infinite electrical conductivity are studied under the assumption that the angle between the velocity field and the magnetic field is varying in the flow region and plane flows of viscous incompressible electrically conducting fluid having finite electrical conductivity are studied under the assumption that the magnetic field and the velocity field are either orthogonal or align to each other throughout the flow region. 1. Steady infinitely conducting variably inclined plane flows of incompressible viscous MHD fluids. By a variably inclined MHD plane flow we mean a flow in which the magnetic and velocity fields are coplanar, the angle between these vector fields is variable and all the flow variables are functions of the two coordinates and time. Not much work seems to have been done for these general plane MHD flows, even in the steady case. In the dissertation, we study these general variably inclined, but nowhere aligned, steady plane MHD flows by employing the hodograph method and Martin's method (1971). 2. Steady finitely conducting orthogonal and aligned plane flows of incompressible viscous MHD fluids. We employ Martin's method to study both orthogonal and aligned flows. By orthogonal flows we mean the velocity field and the magnetic field are everywhere orthogonal in the flow region. By aligned flow, we mean the velocity field and magnetic field are everywhere parallel to each other in the flow region. Certain geometrical properties are established and solutions of the flow equations for several flow geometries are thoroughly examined.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1986 .C448. Source: Dissertation Abstracts International, Volume: 47-05, Section: B, page: 2014. Thesis (Ph.D.)--University of Windsor (Canada), 1986.

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