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.
TABLE OF CONTENTS
LIST OF FIGURES
LIST OF TABLES
DIMENSIONLESS NUMBERS
GREEK SYMBOLS
NOMENCLATURE
ABSTRACT
CHAPTER ONE
INTRODUCTION
1.1 Background of the study
1.2 Statement of the Problems
1.3 Aim and Objectives of the Study
1.4 Significance of the Study
1.5 Definitions of Basic Concepts
1.6 Structure of the Dissertation
CHAPTER TWO
LITERATURE REVIEW
2.1 Introduction
2.2 Some Related Literature Review
CHAPTER THREE
METHODOLOGY
3.2 Regular perturbation expansions
3.3 Problem Formulation
3.3.1 Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Heat Deposition
3.3.2 Magnetohydrodynamic Unsteady Free Convection Flow Past an Infinite Vertical Porous Plates with Heat Deposition
3.3.3 Darcy Forchcheimer Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Heat Deposition
CHAPTER FOUR
RESULTS AND DISCUSSION
4.1 Introduction
4.2 Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Heat Deposition
4.2.1 Velocity field
4.2.2 Temperature field
4.2.3 Skin friction coefficient and Nusselt number
4.3 Magnetohydrodynamic Unsteady Free Convection Flow Past an Infinite Vertical Porous Plates with Heat Deposition
4.3.1 Velocity field
4.3.2 Temperature field
4.3.3 Skin friction coefficient and Heat transfer coefficient
4.4 Darcy Forchcheimer Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Heat Deposition
4.4.1 Velocity field
4.4.2 Temperature field
4.4.3 Skin friction coefficient and Heat transfer coefficient
CHAPTER FIVE
SUMMARY, CONCLUSION AND RECOMMENDATIONS
5.1 Introduction
5.2 Summary
5.3 Conclusion
5.3.1 Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Heat Deposition
5.3.2 Magnetohydrodynamic Unsteady Free Convection Flow Past an Infinite Vertical Porous Plates with Heat Deposition
5.3.3 Darcy Forchcheimer Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Heat Deposition
5.4 Recommendations
5.5 Contributions
5.6 Limitations of the Study
REFERENCES
APPENDICES
CHAPTER ONE
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.....
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