Perspectives in Magnetohydrodynamics Research (Earth Sciences in the 21st Century: Space Science, Exploration and Policies)

PERSPECTIVES IN MAGNETOHYDRODYNAMICS RESEARCH......Page 2
PERSPECTIVES IN MAGNETOHYDRODYNAMICS RESEARCH......Page 4
Contents......Page 6
Preface......Page 8
Abstract......Page 12
1. Introduction......Page 13
2. Mathematical Analysis......Page 15
2.b. Solution Procedure for Perturbed Part......Page 18
3. Skin Friction and Nusselt Number at the Walls......Page 20
4. Results and Discussion......Page 21
4.a. Presentation of First Order Solution......Page 28
Nomenclature......Page 34
Subscript......Page 35
Appendix......Page 36
References......Page 39
Immersed Boundary Method: The Existence of Approximate Solution in Two-Dimensional Case......Page 42
Abstract......Page 68
1. Introduction......Page 69
2. Mathematical Formulation......Page 70
Steady State Solution......Page 75
Results and Discussion......Page 76
Conclusion......Page 82
Greek Symbols......Page 83
References......Page 84
Abstract......Page 86
Introduction......Page 87
Problem Formulation......Page 88
Results and Discussion......Page 90
Conclusion......Page 94
Subscripts......Page 95
References......Page 96
Abstract......Page 98
Introduction......Page 99
1. Main Equations......Page 102
1.1. Initial Equations......Page 103
1.2. Magnetic Label......Page 105
1.3. Equations of Small Oscillations......Page 106
1.4. Ballooning Approximation......Page 108
2. Dipole Model of the Geomagnetic Field......Page 113
2.1. Magnetic Field......Page 114
2.2. Equilibrium......Page 116
2.3. Equations of Small Oscillations in Dipole Geometry......Page 119
2.4. Polarization of Ballooning Modes......Page 122
3. Ionospheric Boundary Conditions......Page 124
3.1. Boundary Conditions......Page 125
3.2. Expression for......Page 128
3.3. Derivation of......Page 130
3.4. Boundary Conditions for Ballooning Modes in Dipole Geometry......Page 131
4.1. Energetic Analysis......Page 134
4.2. Boundary Problem for the Stability Threshold......Page 137
4.3. Stability Threshold......Page 140
4.3.1. Flute Perturbations......Page 141
4.3.3. Numerical Analysis......Page 143
4.4. Stability Criterion of Ballooning Modes with Perfectly Conductive Boundary......Page 144
References......Page 146
Index......Page 150