Titlebook: Lectures in Magnetohydrodynamics; With an Appendix on Dalton D. Schnack Book 2009 Springer-Verlag Berlin Heidelberg 2009 MHD.Magnetic fiel

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Closures,We have just seen that the MHD equations constitute 14 equations in 27 unknowns. These can be reduced to eight equations by substituting for . from Ampére’s law [Eq. (6.21)] and . from Ohm’s law [Eq. (6.22)].

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,Equilibrium: General Considerations— The Virial Theorem,In MHD we are often interested in situations of equilibrium, or force balance. This is because, in magnetic fusion we seek to confine a hot plasma for a very long time. Clearly, a state of equilibrium is a minimum condition for this type of fusion to occur.