STUDY OF THERMODIFFUSION EFFECTS ON MAGNETOHYDRODYNAMICS WITH CONVECTION OF A NANOFLUID FLOW

Abstract

This thesis considered the study of thermodiffusion effects on flow of a nanofluid towards stretching sheet with applied magnetic field and convection. The problems, one dimensional unsteady state with suction and two dimensions steady state are presented. Similarity transformations are applied to reduce the equations that govern the flow to a system of coupled nonlinear ordinary differential equations. The problems are solved using the Adomian decomposition method. The results obtained for skin frictions () and Nusselt number () are compared with the existing literatures and a good agreement is established. Concrete graphical analysis is carried out to study the effects of emerging physical parameters such as velocity ratio, magnetic parameter, thermal Grashof number, solutal Grashof number, Prandtl number, Lewis number, Brownian motion and Dufour number. The velocity ratio was kept constant (A = 0.1) throughout the study except cases where it was varied. The Grashof numbers are found to enhance the fluid velocity while the magnetic parameter is a reduction agent. Prandtl number and Lewis number are seen as reduction agents to the fluid temperature and solutal concentration profile respectively.