ENGS 152/PHYS 115:  Schedule



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Magnetohydrodynamics

 

 

Class Time

Tuesdays & Thursdays 2:00 - 4:00 pm, Wednesday 4:15-5:05 pm (X-hour)

Classroom

Cummings 200

Instructor

William Lotko

Grade Basis

Weekly homework (55%); Midterm Exam (20%); Final Exam (25%)

Textbook

Principles of Magnetohydrodynamics: With Applications to Laboratory and Astrophysical Plasmas
J. P. Hans Goedbloed and Stefaan Poedts, Cambridge University Press, 2004

 

Preliminary

 

Week 1

Plasma Physics and Magnetohydrodynamics

 

 

Motivation: The MHD description

Review: Essential plasma physics

1,2, Notes

 

 

 

MHD model: Postulates, derivation of two-fluid/one-fluid MHD from kinetic theory; scale independence

3

 

 

  

 

Week 2

MHD Conservation Properties

 

 

Magnetic flux tubes; flux conservation; conservative form of MHD equations; conservation laws  

4.1 - 4.3

 

 

 

Dissipative MHD; jump conditions; MHD discontinuities

4.4 - 4.6

 

 

 

 

Week 3

MHD Waves and Characteristics

 

 

MHD waves; phase velocity, group velocity; dispersion diagrams

5.1 - 5.2

 

 

 

Friedrichs diagrams; characteristics

5.3 - 5.4

 

 

 

 

Week 4

MHD Equilibria 

 

 

MHD equilibria; magnetohydrostatics; Grad-Shafranov equation

Notes

 

 

 

Cylindrical plasmas

9

 

 

 

 

Week 5

Spectral Theory

 

 

Stability concepts; force operator formalism; initial value problem

6.1 - 6.3

 

 

 

Quadratic forms; variational principles; energy principle; extension to interface plasmas

6.4 - 6.6

 

 

 

 

Week 6

Waves and Instabilities in Inhomogeneous Plasmas

 

 

Rayleigh-Taylor instability

7

 

 

 

Kelvin-Helmholtz instability

Notes

 

  

 

 

Week 7

Instabilities Cont'd

 

 

Interchange instability

Notes

 

 

 

Magnetic annihilation and stagnation point flow; Sweet-Parker reconnection

Notes

 

 

 

 

Week 8

Magnetic Reconnection and Resistive Plasmas

 

 

Unsteady reconnection; tearing mode

Notes

 

 

 

Petschek reconnection

Notes

 

 

  

 

Week 9

Transonic Flows and Shocks

 

 

MHD shocks

 Notes

 

 

 

Shocks cont'd

Notes

 

 

 

 

Week 10

Channel Flows and Boundary Layers

 

 

Stationary and channel flows; MHD boundary layers

Notes