MAGNETOHYDRODYNAMICS
ECE/NE/Physics 726-Fall 2007

1-2:15 PM
2116 Chamberlin

Prof. Dalton Schnack
3213 Chamberlin

Lecture Notes

Directory Listing

Lecture 1

• Preface (Word File | PDF file)
• 1. Introduction (Word File | PDF file)
• 2. Scalars, Vectors, Tensors, & Dyads (Word File | PDF file)
• 3. Mass Conservation and The Equation of Continuity (Word File | PDF file)
• 4. The Equation of Motion (Word File | PDF file)
• 5. Energy Flow (Word File | PDF file)
• 6. The Electromagnetic Field (Word File | PDF FIle)
• 7. Closures (Word File | PDF File)
• 8. Conservation Laws (Word file | PDF File)
• 9. Ideal MHD and the Frozen Flux Theorem (Word file | PDF File)
• 10. Resistivity (Word file | PDF File)
• 11. Similarity Scaling (Word file | PDF File)
• 12. The Wöltjer Invariants Of Ideal Mhd, Topological Invariance, And Magnetic Helicity (Word file | PDF File)
• 13. Reduced MHD (Word file | PDF File)
• 14. Equilibrium: General Considerations, The Virial Theorem (Word file |PDF File)
• 15. Simple MHD Equilibria (Word file | PDF File)
• 16. Poloidal Beta, Paramagnetism, Diamagnetism (Word file | PDF File)
• 17. “Force-Free” Fields (Word file | PDF File)
• 18. Toroidal Equilibrium; The Grad-Shafranov Equation (Word file | PDF File)
• 19. Behavior of Small Displacements in Ideal MHD (Word file | PDF File)
• 20. Linearized Equations and the Ideal MHD Force Operator (Word file | PDF File)
• 21. Boundary Conditions for Linearized Ideal MHD (Word file | PDF File)
• 22. Proof That the Ideal MHD Force Operator is Self-Adjoint (Word file | PDF File)
• 23.Waves in a Uniform Medium: Special Cases (Word file | PDF File)
• 24. Waves in a Uniform Medium: Arbitrary Angle of Propagation(Word file | PDF File)
• 25. The Calculus of Variations and the Ideal MHD Energy Principle (Word file | PDF File)
• 26. Examples of Application of the Energy Principle (Word file | PDF File)
• 27. The Rayleigh-Ritz Technique for Estimating Eigenvalues (Word file | PDF File)
• 28. The Gravitational Interchange Mode, or g-Mode (Word file | PDF File)
• 29. Comments on the Energy Principle and the Minimizing Eigenfunction (Word file | PDF File)
• 30. Examples of the Application of the Energy Principle to Cylindrical Equilibria (Word file | PDF File)
• 31. A Very Brief and General Tour of Suydam Analysis for Localized Interchange Instabilities (Word file | PDF File)
• 32. Magnetic Reconnection (Word file | PDF File)
• 33. Steady Reconnection: The Sweet-Parker Problem (Word file | PDF File)
• 34. Resistive Instabilities: The Tearing Mode (Word file | PDF File)
• 35. Resistive Instabilities: Closing Remarks (Word file | PDF File)
• 36. Turbulence (Word file | PDF File)
• 37. MHD Relaxation: Magnetic Self-Organization (Word File | PDF File)
• 38. Dynamos; Magnetic Field Generation and Maintenance (Word File | PDF File)
• Appendix: Fluid Models of Magnetized Plasmas or Beyond MHD or Plasma Physics in 100 Minutes! (PDF file)

Homework Assignments

• Homework Assignment 1 (Word File | PDF File)
• Homework Assignment 2 (Word File | PDF File)
• Homework Assignment 3 (Word File | PDF File)
• Homework Assignment 4 (Word File | PDF File)
• Homework Assignment 5 (Word File | PDF File)
• Homework Assignment 6 (Word File | PDF File)
• Homework Assignment 7 (Word File | PDF File)
• Homework Assignment 8 (Word File | PDF File)

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