I= SOLUTION OF SOME UNSTEADY FLOWS OVER A STRETCHING SHEET USING HOMOTOPY ANALYSIS METHOD
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Title of Thesis
SOLUTION OF SOME UNSTEADY FLOWS OVER A STRETCHING SHEET USING HOMOTOPY ANALYSIS METHOD

Author(s)
IFTIKHAR AHMAD
Institute/University/Department Details
Department of Mathematics/ Quaid-i-Azam University Islamabad, Pakistan
Session
2008
Subject
Mathematics
Number of Pages
108
Keywords (Extracted from title, table of contents and abstract of thesis)
unsteady flows, homotopy analysis, newtonian fluids, second grade fluids, stretching sheet, axisymmetric flow, boundary layer flow

Abstract
No Abstract

Download Full Thesis
855.18 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 Contents
95.77 KB
2 1 Introduction 4
59.93 KB
3 2 Preliminaries 9
100.32 KB
  2.1 Constitutive Equations Of Newtonian And Second Grade Fluids 9
  2.2 Basic Equations 10
  2.3 Energy Equation 12
  2.4 Boundary Layer Flow 12
  2.5 Maxwell's Equations 14
  2.6 Porosity And Porous Media 15
  2.7 Flow Induced By A Stretching Sheet 15
  2.8 Homotopy 16
  2.9 Homotopy Analysis Method (HAM) 17
4 3 Unsteady Axisymmetric Flow Of A Viscous Fluid Over A Radially Stretching Sheet 19
134.3 KB
  3.1 Mathematical Formulation 19
  3.2 Analytic Solution 21
  3.3 Skin Friction 30
  3.4 Convergence Of The Analytic Solution 30
  3.5 Results And Discussion 33
5 4 Unsteady Axisymmetric Flow Of A Second Grade Fluid Over A Radially Stretching Sheet 36
76.69 KB
  4.1 Mathematical Description Of The Problem 36
  4.2 Solution By HAM 38
  4.3 Skin Friction 40
  4.4 Convergence Of The Analytic Solution 40
  4.5 Results And Discussion 41
6 5 Boundary Layer Flow Of An Unsteady Second Grade Fluid Due To A Stretching Sheet 45
85.52 KB
  5.1 Flow Analysis 45
  5.2 Exact Analytic Solution 47
  5.3 Skin Friction 49
  5.4 Convergence 50
  5.5 Results And Discussion 50
7 6 Unsteady MHD Axisymmetric Flow And Heat Transfer Of A Viscous Fluid Over A Radially Stretching Sheet In A Porous Medium 55
157.44 KB
  6.1 Flow Equations 56
  6.2 HAM Solutions 58
  6.3 Convergence Of The HAM Solution 63
  6.4 Results And Discussion 66
8 7 Heat Transfer Analysis Of Unsteady Axisymmetric Flow Of A Second Grade Fluid Over A Radially Stretching Sheet 76
94.71 KB
  7.1 Heat Transfer Analysis 77
  7.2 HAM Solution 78
  7.3 Convergence Of The Analytic Solution 81
  7.4 Results And Discussion 82
9 8 Heat Transfer Analysis Of Unsteady Boundary Layer Flow Of Second Grade Fluid Over A Planar Stretching Sheet 88
88.15 KB
  8.1 Heat Transfer Analysis 88
  8.2 HAM Solution 89
  8.3 Convergence 93
  8.4 Results And Discussion 94
10 9 Conclusions 99
21.61 KB