I= NUMERICAL STUDY OF MICROPOLAR/ NEWTONIAN FLUID FLOW PROBLEMS
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Title of Thesis
NUMERICAL STUDY OF MICROPOLAR/ NEWTONIAN FLUID FLOW PROBLEMS

Transliteration

Author(s)
Abu Zar Abid Siddiqui
Institute/University/Department Details
Centre for Advanced Studies in Pure and Applied Mathematics/ Bahauddin Zakariya University Multan
Session
2004
Subject
Applied Mathematics
Number of Pages
305
Keywords (Extracted from title, table of contents and abstract of thesis)
micropolar fluid flow, newtonian fluid flow, internal flows, external flows, non steady flow, steady flow, closed flow, open flow, surface forces, vortex dynamics, fluid dynamics

Abstract
This thesis contains both external and internal flow. Four problems for the study of the Newtonian and the Micropolar fluids have been examined. For external flows, two flow problems are solved numerically for both fluids. The problems are entitled as follows:

(a) Non-steady stirring fluid flow pas rotating a circular cylinder,

(b) Non steady uniformly accelerated flow pas a rotating circular cylinder.

Whereas for internal flows, the flow problems examined numerically are

(c) steady flow through constricted rectangular channel

(d) steady flow through constricted and obstructed rectangular channel.

Both the problems are investigated for both fluids.

These flow problems are examined by various numerical schemes and the results are compared with the using the special finite-difference method.

One of the common and main objectives of this work is to observe the efficiency of the special finite-difference based methods for non steady, steady closed, and open flow of different fluids. Another major aim is to analyse the variation of surface forces, vortex dynamics flow simulation, and role of variation of fins in the heat transfer. The numerical results obtained are compared on different gird sizes as well as with the previous results where possible. The comparison is very favourable

Chapter 1 introduces a brief historical background of computational Fluid Dynamics for Newtonian as well as for micropolar fluids. The numerical analysis and simulation for problem (a) for Newtonain and micropolar fluids are given in Chapters 2 and 3 respectively. Chapters 4 and 5 contain the formulation, numerical analysis for the problem given in(b) for Newtonian as well as micropolar fluids respectively. In chapters 6 and 7, the problem(c) is examined again for Newtonian and micropolar fluids respectively. The numerical flow simulation and heat transfer analysis for problem give in(d) are studied for Newtonian fluids only in Chapter 8, while Chapter 9 contains a summary and the overall conclusions of the investigation undertaken in this thesis.

Download Full Thesis
13404.91 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 Contents
396.52 KB
2 1 General Introduction 1
134.21 KB
3 2 Stirring Newtonian Fluid flow past an Uniformly Rotating circular cylinder 7
1107.43 KB
  2.1 Introduction 8
  2.2 Basic Analysis and formulation 9
  2.3 Solution to BVP by special finite-difference method 12
  2.4 Solution to BVP by Modified Adams-Bash-forth temporal scheme 15
  2.5 Computational procedure 16
  2.6 Calculated results and discussion 17
4 3 Stirring Micropolar fluid Past and Uniformly Rotating Circular Cylinder 31
1666.65 KB
  3.1 Introduction 32
  3.2 Basics Analysis and formulation 33
  3.3 Solution to BVP by special finite-differences method 34
  3.4 Solution of BVP by Modified Adams-Bash-forth temporal scheme 37
  3.5 Computational procedure 40
  3.6 Calculated results and discussion 41
5 4 Accelerated Newtonian fluid flow past an Uniformly Rotating Circular Cylinder 63
1884.05 KB
  4.1 Introduction 64
  4.2 Basic Analysis and formulation 65
  4.3 BVP in modified polar co-ordinates system 66
  4.4 Numerical scheme 67
  4.5 Boundary condition on “E” at large “s” -----A higher order formula 71
  4.6 Computational procedure 72
  4.7 Calculated results and discussion 73
6 5 Accelerated Micropolar fluid flow past and Uniformly Rotating Circular Cylinder 95
2558.5 KB
  5.1 Introduction 96
  5.2 Basic analysis and formulation 96
  5.3 BVP in modified polar co-ordinates system 98
  5.4 Numerical scheme 99
  5.5 Boundary condition on “E: at large “s”-----A higher order formula 104
  5.6 Boundary condition on “ή: at large “s”-----A higher order formula 105
  5.7 Computational procedure 105
  5.8 Calculated results and discussion 106
  5.9 Conclusion 110
7 6 Steady flow through the constricted rectangular channel 140
1647.8 KB
  6.1 Introduction 141
  6.2 Basic Analysis 142
  6.3 Numerical scheme 143
  6.4 Boundary Layer solution 145
  6.5 Computational procedure 146
  6.6 Calculated results and discussion 146
8 7 Micropolar fluid flow through the constricted and obstructed rectangular channel 216
2351.19 KB
  7.1 Introduction 174
  7.2 Basic analysis 174
  7.3 Special finite-difference method 176
  7.4 Boundary Layer solution 179
  7.5 Computational procedure 179
  7.6 Calculated results and discussion 180
9 8 Micropolar fluid flow through the constricted and obstructed rectangular channel 216
1220.04 KB
  8.1 Introduction 217
  8.2 Mathematical Formulations and Basic analysis 217
  8.3 Numerical scheme 218
  8.4 Computational procedure 220
  8.5 Calculated results and discussion 221
  8.6 Conclusions 225
10 9 Flow and heat transfer through the constricted and obstructed rectangular channel 240
3296.07 KB
  9.1 Introduction 241
  9.2 Basic analysis 242
  9.3 Numerical scheme 243
  9.4 Computational procedure 246
  9.5 Calculated results and discussion 246
  9.6 Conclusions 252
11 10 Summary and conclusions 295
142.76 KB
  10.1 References 299