Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Suction and Oscillating Boundaries

Description

– Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Suction and Oscillating Boundaries –

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Abstract

In this dissertation, the problems of Magnetohydrodynamic unsteady free convection flow past vertical porous plates with suction and oscillating boundaries are studied.

The linear and nonlinear partial differential equations governing the flow problems and boundary conditions were transformed into dimensionless form, and the perturbation techniques applied in getting analytical solutions for the velocity, temperature, the skin friction coefficient and Nusselt number.

It was observed that an increase in the values of thermal Grashof number, Eckert number and heat source increases velocity profile, while an increase in Darcy term retards the velocity profile.

An increase in heat source and Grashof number, also increases the Heat transfer coefficient. The effects of various parameters on the flow fields have been presented with the help of graphs and tables.

Introduction

1.1 Background of the Study

As understanding of the natural world has grown, human civilization and communities have consistently been established at locations that feature a viable source of fluid flowing.

Throughout history, people have continuously attempted to manipulate the natural fluid flow, in order to effect an improvement in such areas as agricultural stability, living environment, and transportation.

The Magnetohydrodynamic (MHD) channel flow, was first described theoretically by Hartmann (1937), who considered plane Poiseuille flow with a transverse magnetic field.

Since then, the study of MHD has been an active area of research because of its geophysical and astrophysical applications.

Ahmed and Batin (2013), investigated the effects of conduction-radiation and porosity of the porous medium on laminar convective heat transfer flow of an incompressible, viscous, electrically conducting fluid over an impulsively started vertical plate embedded in a porous medium in presence of transverse magnetic field.

Modern technologies have emerged, and we have become increasingly reliant on the fundamental principles of fluid flow.

Humanity has come to depend upon the development and design of modern transport, such as cars, ships and air-crafts, which are rooted in an essential understanding and knowledge of fluid flows and this knowledge area, is an integral area for solving aerodynamic problems.

The area also provides a plethora of engineering problems concerning energy conservation and transmission. Time past methodological engineering, and even biomedical studies, have proven the universally accepted tenant that understanding fluid flow is critical to the development of applied knowledge.

The effect of radiation, chemical reaction and variable viscosity on hydromagnetic heat and mass transfer in the presence of magnetic field are studied by Seddeek and Almushigeh 1 (2010).

Ahmed et al. (2012), considered MHD mixed convection and mass transfer from an infinite vertical porous plate with chemical reaction in presence of a heat source. Uwanta and Isah (2012) studied the boundary layer fluid flow in a channel with heat source, soret effects and slip condition.

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