Magnetohydrodynamics

Plasma Physics · Part 3

299 KB10 sections4 key equationsLaTeX typeset
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Table of Contents

  1. 1.8.1 Foundations of MHD
  2. 2.8.2 MHD Conservation Laws
  3. 3.8.3 Magnetic Helicity
  4. 4.8.4 Force-Free Magnetic Fields
  5. 5.8.5 Magnetic Reconnection
  6. 6.8.6 MHD Shocks and Discontinuities
  7. 7.8.7 MHD Turbulence
  8. 8.8.8 The Magnetic Dynamo
  9. 9.8.9 Astrophysical and Laboratory Applications
  10. 10.Complete MHD System (Summary)

Key Equations

$$\frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \mathbf{u}) = 0 \quad \text{(mass)}$$
$$\frac{dH_M}{dt} = -2\int_V \mathbf{E} \cdot \mathbf{B} \, d^3r = -2\eta \int_V \mathbf{J} \cdot \mathbf{B} \, d^3r$$
$$\tau_{\text{SP}} = \sqrt{\tau_A \tau_R} = \tau_A S^{1/2}$$
$$\mathbf{z}^\pm = \mathbf{u} \pm \frac{\mathbf{B}}{\sqrt{\mu_0 \rho}} = \mathbf{u} \pm \mathbf{v}_A$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Plasma Physics course on CoursesHub.World. Comprehensive study of the fourth state of matter. Covers single-particle motion, kinetic theory, MHD, waves and instabilities, collisional processes, magnetic and inertial confinement fusion, space a...

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