 |
| Pakistan Research Repository | Home |
Title of Thesis |
| Author(s) Rahmat Ellahi |
| Institute/University/Department Details Department of Mathematics/ Quaid-i-Azam University, Islamabad |
| Session 2006 |
| Subject Mathematics |
| Number of Pages 208 |
| Keywords (Extracted from title, table of contents and abstract of thesis) newtonian fluids, non-newtonian fluids, flow problems, non coaxially rotating porous disk, non-resonant frequencies , unsteady mhd |
Abstract |
| Download Full Thesis |  4476.23 KB |
 |
|
|
|
|
| S. No. | Chapter | Title of the Chapters | Page | Size (KB) |
|
|
|
|
|
| 1 | 0 | Contents | 0 | 588.6 KB |
|
|
|
|
|
| 2 | 1 | Introduction | 1 | 415.51 KB |
| 1.1 | Theoretical Background For Constitutive Equations Of Second And Third Grade Fluids | 8 | ||
| 1.2 | Homotopy Analysis Method | 11 | ||
|
|
|
|
|
| 3 | 2 | Unsteady MHD Periodic Flows Due To Non-Coaxial Rotations Of Porous Disk And A Viscous Fluid At Infinity | 14 | 278.99 KB |
| 2.1 | Mathematical Formulation | 15 | ||
| 2.2 | Exact Analytical Solution | 18 | ||
| 2.3 | The Ultimate Steady State Flows And The Boundary Layers | 23 | ||
| 2.4 | Concluding Remarks | 25 | ||
|
|
|
|
|
| 4 | 3 | The Influence Of Hall Current On The Unsteady Flow Due To Non Coaxially Rotating Porous Disk And A Viscous Fluid At Infinity | 26 | 484.33 KB |
| 3.1 | Problem Description And Mathematical Formulation | 27 | ||
| 3.2 | Exact Solution To The Problem For Non-Resonant Frequencies | 30 | ||
| 3.3 | Results And Discussion | 36 | ||
| 3.4 | Conclusions | 38 | ||
|
|
|
|
|
| 5 | 4 | Second Grade Fluid Flow Induced By Non-Coaxial Rotations Of Porous Oscillating Disk And A Fluid At Infinity | 52 | 460.5 KB |
| 4.1 | Description And Formulation Of The Flow Problem | 53 | ||
| 4.2 | Results And Discussion | 72 | ||
|
|
|
|
|
| 6 | 5 | Unsteady MHD Second Grade Flow Due To Non-Coaxial Rotations Of An Oscillating Porous Disk And A Fluid At Infinity | 76 | 285.57 KB |
| 5.1 | Mathematical Analysis | 77 | ||
| 5.2 | Graphs And Tables | 82 | ||
| 5.3 | Results And Discussion | 86 | ||
| 5.4 | Concluding Remarks | 90 | ||
|
|
|
|
|
| 7 | 6 | Generalized Second Grade Flow Past A Porous Plate With Heat Transfer | 91 | 949.79 KB |
| 6.1 | Development Of The Flow | 92 | ||
| 6.2 | Analytic Solutions For Integer Material Parameter (In ) | 95 | ||
| 6.3 | Heat Transfer Analysis | 101 | ||
| 6.4 | Convergence Of The Solution Expression For Velocity | 112 | ||
| 6.5 | Discussion Of The Velocity And Temperature Profiles | 113 | ||
| 6.6 | Concluding Remarks | 124 | ||
|
|
|
|
|
| 8 | 7 | Channel Flow Of A Third Grade Fluid Using HAM | 126 | 1252.19 KB |
| 7.1 | Mathematical Formulation | 127 | ||
| 7.2 | Homotopy Solution | 128 | ||
| 7.3 | Higher Order Deformation | 132 | ||
| 7.4 | Convergence Of The Solution Expression For Velocity | 132 | ||
| 7.5 | Results And Discussion | 134 | ||
| 7.6 | References | 138 | ||
| 7.7 | Publications | 151 | ||
|
|
|
|
|