Cover image for Mathematical Magnetohydrodynamics

Mathematical Magnetohydrodynamics

Author Nikolas Xiros
Release Date: 2018/01/01
Topic:
0%
76
Chapters
0-1
Hours read
0k
Total Words
    Start Reading Now    
       Add to Wishlist       
View table of contents

Book Description

Fundamentals of mathematical magnetohydrodynamics (MHD) start with definitions of major variables and parameters in MHD fluids (also known as MHD media) and specifically plasmas encountered in nature as well as in engineering sytems, e.g., metallurgy or thermonuclear fusion power. Then collisions of fluids in such fluids are examined as well as motion of individual particles. Then the basic principles of MHD fluids are introduced along with transport phenomena, medium boundaries, and surface interactions. Then, waves and resonances of all sorts in MHD media are presented. The account concludes with the description of main MHD fluid types including plasma in fusion power generation.

Table of Contents

  1. Plasma Definition and Classification
    1. Definitions
    2. Maxwellian Temperature Distribution
    3. Debye Length
    4. Plasma Frequency
    5. Classification of Plasmas
  2. Collisions in Plasmas
    1. General Definitions
    2. Binary Elastic Collision Kinematics
    3. Differential Cross Section
    4. Momentum Transfer
    5. Coulomb Collisions
    6. Collisions of Neutrals
    7. Resonant Charge Transfer
    8. Polarization Scattering
    9. Electron Elastic Scattering at Neutrals
    10. Electron Impact Ionization
    11. Electron Impact Dissociation
    12. Electron Impact Excitation
    13. Penning Ionization
    14. Chemical Reactions
  3. Motion of Charged Particles
    1. Equation of Motion
    2. Constant Magnetic Field
    3. Constant Electric and Magnetic Fields
    4. Inhomogeneous Magnetic Field
    5. Gravitation and Magnetic Field
    6. Drifts and Instabilities
    7. Time-dependent Magnetic Field
    8. Time-dependent Electric Field
    9. Adiabatic Invariants
  4. Plasma as a Fluid
    1. Distribution Function and Moments
    2. Particle, Momentum, and Energy Balance
    3. Drifts in Fluid Description
  5. Transport
    1. Drift and Diffusion
    2. Transport of Neutrals
    3. Ambipolar Diffusion
    4. Diffusion in a Magnetic Field
    5. Plasma Resistivity
    6. Electrical Plasma Heating
  6. Plasma Boundary
    1. Electrostatic Sheath
    2. Presheath
    3. Potential, Flux, Ion Energy
    4. Negatively Biased Eelectrode
    5. Collisional Sheath
    6. Electrostatic Probe
  7. Plasma-surface Interaction
    1. Ion Implantation and Reemission
    2. Collision Cascade
    3. Radiation Damage
    4. Sputtering
    5. Chemical Sputtering
    6. Surface Reactions
    7. Secondary Electron Emission
  8. Particle Waves and Resonances
    1. Electron Oscillations
    2. Electron Waves
    3. Ion Waves
    4. Electron Oscillations in Magnetic Fields
    5. Ion Waves in Magnetic Fields
  9. Electromagnetic Waves
    1. Non-magnetized Plasma
    2. Magnetized Plasma (1/2)
    3. Magnetized Plasma (2/2)
  10. Plasma Modeling
    1. Global model
    2. Reactive Plasmas
    3. Fluid Modeling
    4. Particle-in-Cell Computer Simulation
  11. Low-temperature DC Plasma
    1. Breakdown
    2. Regimes of Operation
    3. DC Magnetron Discharge
  12. Low-temperature RF Plasmas
    1. Capacitively Coupled RF Discharge
    2. Ion Energy Distribution (1/2)
    3. Ion Energy Distribution (2/2)
  13. Magnetic Confinement Nuclear Fusion Plasma
    1. Fusion Reactions
    2. Ignition
    3. Machine Concepts
    4. Transport
  14. References
  15. Author's Biography
  16. Blank Page (1/3)
  17. Blank Page (2/3)
  18. Blank Page (3/3)
3.138.116.20