Pakistan Research Repository Home
 

Title of Thesis
HOMOTOPY SOLUTIONS FOR FLOWS IN A ROTATING FRAME

Author(s)
TARIQ JAVED
Institute/University/Department Details
Department of Mathematics/ Quaid-i-Azam University, Islamabad
Session
2008
Subject
Mathematics
Number of Pages
122
Keywords (Extracted from title, table of contents and abstract of thesis)
homotopy solutions, rotating frame, magnetohydrodynamic rotating flows, hydromagnetic rotating flow, rotating flow

Abstract
No Abstract

Download Full Thesis
1258.79 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 Contents
136.34 KB
2 1 Introduction 6
150.75 KB
  1.1 Literature Survey And Basic Equations 6
  1.2 Magnetohydrodynamic (MHD) Rotating Flows 6
  1.3 Flows Over A Stretching/Shrinking Surface 8
  1.4 Basic Equations 9
  1.5 Constitutive Equations 10
  1.6 Boundary Layer Equations 12
  1. 7 Homotopy Analysis Method 13
  1.8 Homotopy-Pade Approximation 15
3 2 Hydromagnetic Rotating Flow Of A Viscous Fluid Over A Shrinking Surface 17
154.93 KB
  2.1 Mathematical Formulation 17
  2.2 Analytic Solution 19
  2.3 Convergence Of The Analytic Solution 28
  2.4 Results And Discussion 28
4 3 Three-Dimensional Rotating Flow Induced By A Shrinking Sheet For Suction 33
153.24 KB
  3.1 Description Of The Problem 33
  3.2 Analytic Solution 35
  3.3 Convergence Of The HAM Solution 39
  3.4 Results And Discussion 40
5 4 Homotopy Analysis For The Rotating Flow Over A Non-Linear Stretching Surface 49
182.12 KB
  4.1 Problem Formulation 49
  4.2 HAM Solution Of The Problem 52
  4.3 Convergence Of The Analytic Solution 56
  4.4 Results And Discussion 59
6 5 MHD Rotating Flow Of A Second Grade Fluid Over A Shrinking Surface 66
147.29 KB
  5.1 Mathematical Formulation 66
  5.2 Solution By Homotopy Analysis Method 68
  5.3 Convergence Of The Analytic Solution 73
  5.4 Results And Discussion 75
7 6 The Influence Of Hall Current On Rotating Flow Of A Third Grade Fluid In A Porous Medium 81
170.34 KB
  6.1 Mathematical Formulation 81
  6.2 Analytic Solution 85
  6.3 Convergence Of The Analytic Solution 88
  6.4 Results And Discussion 89
8 7 Heat Transfer Analysis On The Rotating Flow Of A Third Grade Fluid 97
131.59 KB
  7.1 Formulation Of The Problem 97
  7.2 HAM Solution For F( Z) 99
  7.3 HAM Solution For O( Z) 100
  7.4 Convergence Of The Solution 101
  7.5 Results And Discussion 103
9 8 Conclusions 109
192.76 KB