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Introduction to Magnetohydrodynamics

Introduction to MagnetohydrodynamicsNick MurphyHarvard-Smithsonian Center for AstrophysicsJuly 17, 2015To MHD and beyond!IWhat is MHD?IThe equations of MHD and their physical meaningIWaves in MHDIAlfv en wavesISlow magnetosonic wavesIFast magnetosonic wavesIBeyond MHDIE xtensions to MHDIP lasma kinetic theoryIMagnetic reconnectionIFinal thoughtsWhat is MHD?IMagnetohydrodynamics (MHD) couples Maxwell s equationsof electromagnetism with hydrodynamics to describe themacroscopic behavior of conducting fluids such as is important in solar physics, astrophysics, spaceplasma physics, and in laboratory plasma experimentsLeft: The International Thermonuclear Experimental Reactor(ITER; currently under construction)Right:Interaction between the solar wind and the Earth smagnetosphereMHD at a glance ()

rV I The continuity equation written in conservative form is: @ˆ @t + r(ˆV) = 0 I The partial derivative @ˆ=@t refers to the change in density at a single point in space I The divergence of the mass ux r(ˆV) says how much plasma goes in and out of the region I …

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