Mathematical Investigation of MHD Transport Phenomena in Newtonian or Non Newtonian Nanofluids

Abstract

Differential Equations (D.Es) form the basis of most of the mathematical models of physical, chemical and biological phenomena. More recently their use has spread into newlineeconomics, financial forecasting, image processing and many other elds. Thus, mathematical models in the form of D.Es are critical tools for analyzing many real life phenomena. Computational modeling of these problems is challenging due to the presence of non-linearity in them. Numerical methods are essential for the effective simulation of newlinethe mathematical model as the underlying D.Es usually need to be approximated. Flow, heat and mass transport phenomenon originated over 2D and 3D stretching surface plays a significant role in different engineering, industrial and manufacturing area like moderating of metallic and glass plates, polymer production with definite cross-sectional outlines, the manufacture of sheeting material are extruded by a die, condensation process and artificial newlinefibers etc. newlineThe work in this thesis is concerned with mathematical investigation of MHD (Mag-netohydrodynamic) transport phenomenon in Newtonian or non-Newtonian nanofluids. newlineThesis addresses all problems in form of four chapters from Chapter 3 to Chapter 6. newlineThird chapter includes steady MHD boundary layer non-Newtonian nanofluid flow induced by stretching surface in presence of viscous and Ohmic dissipation by following Buongiornos model. Later on, chapter four focuses on gyrotactic microorganisms and convective conditions in presence of Magnetohydrodynamic non-Newtonian Casson nanofluid flow. After that, chapter five concentrates the influence of buoyancy forces induced by three dimensional stretching sheet in MHD bioconvective non-Newtonian nanofluids along with heat source parameter and chemical reaction.Lastly, analysis of MHD Casson nano fluid flow induced by 2D stretching cylinder under the influence of convective conditions has been carried out in chapter six. newline