Application of complex variables in electromagnetofluiddynamic, magnetofluiddynamic and fluid dynamic flows: Viscoelastic boundary-layer theory.

摘要

This thesis is devoted to (a) a theoretical investigation of steady plane electromagnetofluiddynamic (EMFD), magnetofluiddynamic (MFD) and ordinary fluid dynamic flows and a numerical study of boundary-layer viscoelastic flows. In the theoretical study, the complex conjugate method is employed to obtain the geometries and solutions for various EMFD, MFD and non-MFD flows. Fluid motions with different assumptions such as isometry, circulation preserving, velocity magnitude being constant on each individual streamline and vorticity being a function of the real part of an analytic function of a complex variable are considered. The flow problems that have been considered in this part are: (1) Isometric orthogonal, constantly-inclined and aligned MFD flows of an electrically conducting incompressible second-grade fluid of finite electrical conductivity and of infinite electrical conductivity, (2) Isometric constantly-inclined EMFD flows of an electrically conducting incompressible second-grade fluid with non-zero charge density, (3) Circulation-preserving constantly-inclined, orthogonal and aligned EMFD flows of an electrically conducting incompressible second-grade fluid with non-zero charge density, (4) Circulation-preserving aligned MFD flows with finite electrical conductivity, (5) Constantly-inclined and aligned magnetogasdynamic and gas dynamic flows with the assumption that the velocity magnitude is constant on each individual streamline, and (6) Jeffery flows for incompressible viscous and second-grade fluids. The numerical study deals with viscoelastic steady plane boundary-layer flows. The model for viscoelastic fluid is taken to be the second-grade fluid. A general theory of viscoelastic boundary-layer theory is developed, and as illustrations, the shooting method and the Box scheme are adopted to obtain solutions for: (1) flow near a stagnation point with suction, (2) flow due to a stretching boundary with suction, (3) flow past a semi-infinite flat plate with zero pressure gradient and with exponential pressure gradient, (4) flow past a wedge, and (5) flow past a symmetrical circular cylinder. Finally, the viscoelastic boundary-layer flow is extended to study a magnetofluiddynamic boundary-layer motion due to the stretching of the wall.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses u26 Major Papers - Basement, West Bldg. / Call Number: Thesis1991 .N488. Source: Dissertation Abstracts International, Volume: 53-01, Section: B, page: 0350. Supervisor: O. P. Chandna. Thesis (Ph.D.)--University of Windsor (Canada), 1991.