Electrically induced vortical flows

목차 (Table of Contents)

• CONTENTS
• Preface = ⅸ
• Introduction = 1
• Chapter 1／Basic Properties of Axially Symmetric Motions in Magnetohydrodynamics = 18
• 1.1. Magnetohydrodynamic Equations = 18
• 1.2. Some Facts about Orthogonal Curvilinear Coordinates = 21
• 1.3. Differential Operators in Orthogonal Curvilinear Coordinates = 24
• 1.4. The Most Commonly Used Rotational Coordinate Systems = 25
• 1.5. Axisymmetric Motions = 29
• 1.6. Relation between stokes Stream Function and Self-Magnetic Field of an Electric Current in Problems with Axial Symmetry = 32
• 1.7. Feasible Schemes for Axially Symmetric Electric Current Distributions = 35
• 1.8. Magnetic Field in Axisymmetric Flow = 41
• 1.9. Electric Field in Axisymmetic Flow = 55
• 1.10. Full Set of Equations for Axisymmetric Motion = 57
• Chapter 2／Solutions in Spherical Coordinates = 62
• 2.1. Definition of the Class of Exact Solutions = 63
• 2.2. Low Magnetic Reynolds Number Approximation. Electric Current and External Magnetic Fields = 67
• 2.3. Integral Flow Characteristics and Dimensinaless Criteria = 72
• 2.4. Review of the Class of Exact Solutions in Spherical Coordinates = 74
• 2.5. Electrically Induced Vortex Flow in a Cone = 84
• 2.6. Gas Flow in an Electrical rc = 91
• 2.7. Problems of the Nonlinear Solution = 95
• 2.8. Landau-Squire Flows in the Presence of Radially Diverging Electric Current = 99
• 2.9. Effect of the Induced Electric Current on the Flow at a Point Current Source = 104
• 2.10. Electrically Induced Flows at Finite Size Electrodes = 107
• Chapter 3／Electrically Induced Vortex Flow at a Point Electrde and Azimuthal Rotation = 120
• 3.1. Integral Properties of the Flows Driven by Rotational Electromagnetic Forces = 121
• 3.2. A Model Demonstrating the Effect of Viscosity = 123
• 3.3. Flow at an Immersed Electrode = 125
• 3.4. Asymptotic Solution for High S = 128
• 3.5. Electrically Induced Flow with Differential Rotation = 133
• 3.6. Growth of Azimuthal Disturbance in the Electrically Induced Flow at a Point electrode = 136
• 3.7. Intensification of Rotation in a Closed Volume = 143
• 3.8. Mechanism of Rotation Intensification in an Axisymmetric Vortex = 148
• Chapter 4／Flows with Cylindrical Symmetry = 154
• 4.1. External Electric Current and Magnetic Field in cylindrical Coordinates = 154
• 4.2. Similarity Solutions = 155
• 4.3. Electrically Induced Flow between Two Parallel Walls = 162
• 4.4. Flow with Line Source in a Circular Cone = 169
• 4.5. Magnetohydrodynamic Model of Tornado = 174
• 4.6. EVF in a Cylindrical Container = 184
• 4.7. Effect of Electric Current Configuration on Flow in a Cylindrical Container = 190
• Chapter 5／Periodic Electrically Induced Flows = 196
• 5.1. Periodic Distributions of Current and Magnetic Field in Cylindrical Coordinates = 196
• 5.2. Integral Action of Electromagnetic Force = 198
• 5.3. A Method Used to Construct Linear Solution of Periodic EVF in Tubes = 203
• 5.4. EVF in a Tube with Radial current Supply = 209
• 5.5. EVF in a Tube with Longitudinal Electric Current = 216
• 5.6. EVF in an Annular Tube = 224
• 5.7. Periodic EVF in a Longitudinal magnetic Field = 228
• 5.8. Longitudinal magnetic Field Effect on Integral Features of EVF = 233
• 5.9. Nonlinear Interaction of Periodic EVF with Through-Flow = 236
• 5.10. Electrically Induced flow in a Loosely Coiled Tube = 240
• Chapter 6／Bodies in a Cuurent-Carrying Fluid = 245
• 6.1. Effect of Potential Forces on a Body in a current-Carrying Fluid = 245
• 6.2. Effect of the Rotational Electromagnetic Forces on Axisymmetric Bodies = 249
• 6.3. Flow at a stationary Sphere = 257
• 6.4. Drag of a Sphere in the Flow of Current-Carrying Fluid = 259
• 6.5. Flows at Spheroids = 266
• 6.6. Discharge between Electrodes of Hyperbolidal Form = 269
• 6.7. Flow at a Cone with an Electric Current Sources in the Apex = 274
• 6.8. Motion of a Sphere with a Current-Source = 277
• Chapter 7／Heat and Mass Transfer in Electrically Induced Vortical Flows = 282
• 7.1. Equatinos of Heat and Mass Transfer, and the Nondimensional Numbers = 282
• 7.2. Mass Transfer from a Stationary Spherical Particle in Current-Carrying Fluid = 287
• 7.3. Mass Transfer from a Translating Spherical particle in a Current-Carrying Fluid = 291
• 7.4. Mass Transfer from a Stationary Sphere in a Longitudinal Magnetic Field = 294
• 7.5. Heat and Mass Transfer in a Cylindrical Container = 296
• 7.6. Thermal Convection in Electrically Induced Flows = 307
• Chapter 8／Experimental Investigations of EVF and Applications = 311
• 8.1. Electroslag Welding = 311
• 8.2. Electroslag Remelting = 324
• 8.3. Electric-Arc Furnaces = 333
• 8.4. Hydrodynamics of Furnaces with Multiple Electrodes = 335
• 8.5. Electrical Jet Thrusters = 341
• 8.6. Inducton channel Furnaces = 346
• 8.7. Electrically Induced Flows in a Flat Layer between Ferromagnetic Masses = 352
• 8.8. Electrolytic Aluminium production = 358
• References = 365
• Index = 379