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You must know the MHD equations.
 |
(4.17) |
 |
(4.18) |
 |
(4.19) |
 |
(4.20) |
 |
(4.21) |
 |
(4.22) |
and an energy equation.
Simplifications to the MHD equations include looking for steady, static
equilibrium solutions that satisfy force balance so that the equation of motion
reduces to
 |
(4.23) |
If gravitational effects are negligible, then we have
 |
(4.24) |
and finally, if the pressure gradient term is negligible (meaning that the
gas pressure
is much smaller than the magnetic pressure
, the
magnetic field is called force-free and
 |
(4.25) |
Next: Potential Problems
Up: Magnetohydrodynamics MHD
Previous: Non-potential current flowing inside
Prof. Alan Hood
2000-11-06