Numerical Investigation of Couple Stress Fluid in Bounded and Semi-Bounded Domains

Abstract

The main aim of this thesis is to present the numerical investigation of couple stress fluid in bounded and semi-bounded domains. The theory of couple stresses first introduced by Stokes, explain the rheological behavior of various complex non Newtonian fluids which preserves couple stresses and body couples and represents the simplest generalization of the classical fluid theory. Such flows have promising applications in engineering, bio-medical and chemical industries, for example, continuous stretching of plastic films, artificial fibers, metal extrusion, metal spinning, glass blowing, continuous casting, the extrusion of a polymer sheet from a die, the drawing of plastic films, etc. The efforts have been made to analyze the flow of couple stress fluid flowing over various possible flow situations, such as stretching sheet, porous shrinking sheet, two dimensional and axisymmetric flow over moving plate, off centered rotating disk, etc. The problems varies by considering effect of a magnetohydrodynamics (MHD), chemical reactions, stagnation point and partial slip condition on the flow. The heat transfer effects in the flow over stretching sheet would also be examined for the two heating processes, PST (prescribed surface temperature case) and PHF (prescribed heat flux case). The non-perturbative methods and Runge-Kutta method coupled with shooting technique have been implemented to obtain the solutions of considered problems. Moreover, some other flow problems of this kind of fluid will also be considered.