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.
