MHD equation
From QED
There are nine single-fluid MHD equations (three scalar equations and two vector equations). These provide a fluid description of a one species plasma. They are derived in the limit of a quasi-neutral, collisionless plasma, neglecting electron inertia. They are:
Momentum equation (d/dt is the Lagrangian derivative ):
Energy equation (γ is the adiabatic constant 5/3, and d/dt is the Lagrangian derivative ):
Field equation (for ideal MHD, η = 0):
It is also necessary that there are no magnetic monopoles :
These equations rely on the use of the following other equations:
Ampere's Law (neglecting the displacement current):
This page was recovered in October 2009 from the Plasmagicians page on MHD_equations dated 21:27, 10 April 2007.