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Magnetohydrodynamic Shock Waves

Cover Image Copyright Year: 2003
Author(s): Anderson, E.
Publisher: MIT Press
Content Type : Books & eBooks
Topics: Fields, Waves & Electromagnetics
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Abstract

Studies based on the Rankine-Hugoniot relations have classified MHO shock waves as fast, switch-on, intermediate, switch-off, and slow. Any waves found in nature must also: (a) possess steady-state structures and (b) be stable in the presence of small-flow disturbances. In this monograph, Dr. Anderson examines these criteria in relation to plane shocks for which the collision frequency is large compared with cyclotron frequency. It contains a three-dimensional graphic representation of shock end states and presents an exact solution for the shock adiabatic curve in a convenient form.An MIT Press Research Monograph.

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      Front Matter

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): i - xiv
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Title, Copyright, Foreword, Dedication, Preface, Contents, Symbols View full abstract»

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      Introduction

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 1 - 5
      Copyright Year: 2003

      MIT Press eBook Chapters

      Studies based on the Rankine-Hugoniot relations have classified MHO shock waves as fast, switch-on, intermediate, switch-off, and slow. Any waves found in nature must also: (a) possess steady-state structures and (b) be stable in the presence of small-flow disturbances. In this monograph, Dr. Anderson examines these criteria in relation to plane shocks for which the collision frequency is large compared with cyclotron frequency. It contains a three-dimensional graphic representation of shock end states and presents an exact solution for the shock adiabatic curve in a convenient form.An MIT Press Research Monograph. View full abstract»

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      Shock Discontinuities in a Perfect Fluid

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 6 - 30
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: The Basic Shock Relations, Intersection of the Momentum and Energy Surfaces, Ordering of the Shock Transition Points According to Increasing Entropy, The Shock Adiabatic View full abstract»

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      Stability of Shocks with Respect to Small Disturbances

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 31 - 84
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Small-Perturbation Equations and Boundary Conditions, The Phase and Group Velocities of Small-Amplitude Waves, Stability with Respect to Normal Small Disturbances, Stability with Respect to Arbitrary Small Disturbances, The Fate of Nonevolutionary Shock Waves View full abstract»

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      Equations of the Steady-State Shock Layer

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 85 - 109
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: The Basic Equations of Magnetohydrodynamics, Specialization of the Magnetohydrodynamic Equations to One-Dimensional Steady Flow, Dimensional Analysis and Simplification of the Shock-Layer Equations, The Final Form of the Shock-Layer Equations View full abstract»

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      General Qualitative Study of the Shock Layer

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 110 - 166
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Method of Analysis, Reduction to Fifth-Order System for Existence Studies, Null Surfaces, The Linearized System and Its General Properties, Analysis of the Eigenvalues, Location of the Eigenvectors, The Direction of the Integral Curves in the Large, Fast Shocks, Slow Shocks, Intermediate Shocks View full abstract»

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      Qualitative Study of the Shock Layer in Special Cases

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 167 - 205
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Negligible Bulk Viscosity, Shear Viscosity, and Thermal Conductivity, Negligible Shear Viscosity and Thermal Conductivity, Negligible Electrical Conductivity and Current Inertia, Negligible Bulk Viscosity and Shear Viscosity, Magnetic Field Parallel to Plane of Shock Wave, “Swith-on” and “Swith-off” Shocks, Interpretation of the Results View full abstract»

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      Results and Conclusions

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 206 - 210
      Copyright Year: 2003

      MIT Press eBook Chapters

      Studies based on the Rankine-Hugoniot relations have classified MHO shock waves as fast, switch-on, intermediate, switch-off, and slow. Any waves found in nature must also: (a) possess steady-state structures and (b) be stable in the presence of small-flow disturbances. In this monograph, Dr. Anderson examines these criteria in relation to plane shocks for which the collision frequency is large compared with cyclotron frequency. It contains a three-dimensional graphic representation of shock end states and presents an exact solution for the shock adiabatic curve in a convenient form.An MIT Press Research Monograph. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Appendix

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 211 - 220
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Nomenclature Used in the Appendix, Introduction, Description of the Experiments, Theory, Experimental Results, Conclusions, Appendix References View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      References

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 221 - 224
      Copyright Year: 2003

      MIT Press eBook Chapters

      Studies based on the Rankine-Hugoniot relations have classified MHO shock waves as fast, switch-on, intermediate, switch-off, and slow. Any waves found in nature must also: (a) possess steady-state structures and (b) be stable in the presence of small-flow disturbances. In this monograph, Dr. Anderson examines these criteria in relation to plane shocks for which the collision frequency is large compared with cyclotron frequency. It contains a three-dimensional graphic representation of shock end states and presents an exact solution for the shock adiabatic curve in a convenient form.An MIT Press Research Monograph. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Index

      Anderson, E.
      Magnetohydrodynamic Shock Waves

      Page(s): 225 - 226
      Copyright Year: 2003

      MIT Press eBook Chapters

      Studies based on the Rankine-Hugoniot relations have classified MHO shock waves as fast, switch-on, intermediate, switch-off, and slow. Any waves found in nature must also: (a) possess steady-state structures and (b) be stable in the presence of small-flow disturbances. In this monograph, Dr. Anderson examines these criteria in relation to plane shocks for which the collision frequency is large compared with cyclotron frequency. It contains a three-dimensional graphic representation of shock end states and presents an exact solution for the shock adiabatic curve in a convenient form.An MIT Press Research Monograph. View full abstract»