Analytical solutions for mhd unsteady flow of a third-grade fluid with constant viscosity

مقدم أطروحة جامعية

Abd al-Amir, Muhammad Ala

مشرف أطروحة جامعية

Abd al-Hadi, Ahmad Mawlud

أعضاء اللجنة

al-Saidi, Sahib
Muhammad, Husayn Ali
Naji, Raid Kamil

الجامعة

جامعة بغداد

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2011

الملخص الإنجليزي

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

التخصصات الرئيسية

الرياضيات

الموضوعات

عدد الصفحات

104

قائمة المحتويات

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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-601764