Analytical solutions for mhd unsteady flow of a third-grade fluid with constant viscosity
Dissertant
Thesis advisor
Comitee Members
al-Saidi, Sahib
Muhammad, Husayn Ali
Naji, Raid Kamil
University
University of Baghdad
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2011
English Abstract
The aim of this thesis is to analyze the influence of magneto-hydrodynamics (MHD) on the pipe unsteady flow of the third-grade fluid with constant viscosity.
In addition, the heat transfer characteristic is taken into account.
Due to the nonlinear, coupled and highly complicated nature of the governing equations, finding an analytical solution is not easy.
We obtained the expressions for the velocity and temperature by using homotopy analysis method (HAM).
It is found that the motion and energy equations are controlled by many dimensionless parameter, namely Reynolds number ??, product between Prandtl and Eckert numbers Γ, pressure drop ?, MHD parameter ?, material constants ?, β, ?′, and ?′, third grade parameter Λ, , and time parameter ?.
The effect of each physical parameter upon the velocity and heat transfer distribution is analyzed, also a comparison study among steady and unsteady flow is presented.
This comprehensive study is done through plotting around (165) graph by using the MATHEMATICA package
Main Subjects
Topics
No. of Pages
104
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Elementary concept and basic definitions.
Chapter Two : Formulation of the problem.
Chapter Three : Solution of the problem.
Chapter Four : Results and discussion.
References.
American Psychological Association (APA)
Abd al-Amir, Muhammad Ala. (2011). Analytical solutions for mhd unsteady flow of a third-grade fluid with constant viscosity. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601764
Modern Language Association (MLA)
Abd al-Amir, Muhammad Ala. Analytical solutions for mhd unsteady flow of a third-grade fluid with constant viscosity. (Master's theses Theses and Dissertations Master). University of Baghdad. (2011).
https://search.emarefa.net/detail/BIM-601764
American Medical Association (AMA)
Abd al-Amir, Muhammad Ala. (2011). Analytical solutions for mhd unsteady flow of a third-grade fluid with constant viscosity. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601764
Language
English
Data Type
Arab Theses
Record ID
BIM-601764
