Asian Research Thesis Index

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.

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