ANALYSIS OF HEAT TRANSFER ON FLOW OF A NANOFLUID IN A POROUS MEDIUM WITH HEAT GENERATION

Abstract

This thesis considered the analysis of melting heat transfer on magnetohydrodynamics flow of a nanofluid in a porous medium with heat generation and second order slip. The work considered two separate cases with the first case being the classical nanofluid with magnetic, porosity, heat generation and viscous dissipation and the second case introduce melting parameter and second order slip parameter, in addition to the first case. Similarity transformations are introduced 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 are compared with the existing literatures and a good agreement is established. Graphical analysis is done to study the implication of emerging physical parameters such as Inverse Darcy number, Magnetic parameter, Eckert number, Prandtl number, Schmidt number, Melting parameter. The first order slip is taken to be while the second order is throughout the work. The Inverse Darcy number (=1, 2, 4), Prandtl number (=0.4, 0.3, 0.1), Schmidt number (=0.3, 0.2, 0.1) are seen as reduction agents of the fluid velocity, fluid temperature and concentration profile respectively. While the Melting parameter (=0.3, 0.2, 0.1), Eckert number (=0.3, 0.2, 0.1) and Brownian motion (=0.2, 0.4, 0.6) are found to enhance the fluid velocity, fluid temperature and concentration profile respectively.