Mhd Equations

Plasma Physics · Part 3

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Table of Contents

  1. 1.2.1 The MHD Approximation
  2. 2.2.2 Ideal MHD Equations
  3. 3.2.3 Magnetic Induction Equation
  4. 4.2.4 Resistive MHD
  5. 5.2.5 MHD Force Balance
  6. 6.Mass Conservation
  7. 7.Momentum Equation
  8. 8.Adiabatic Energy
  9. 9.Faraday's Law
  10. 10.Ampère's Law (MHD limit)

Key Equations

$$\frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \mathbf{u}) = 0$$
$$\frac{\partial \mathbf{B}}{\partial t} = -\nabla \times \mathbf{E}$$
$$\frac{\partial \mathbf{B}}{\partial t} = \nabla \times (\mathbf{u} \times \mathbf{B})$$
$$R_m = \frac{\mu_0 u L}{\eta} = \frac{\text{advection}}{\text{diffusion}}$$

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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