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Unformatted text preview: 14. Magnetohydrodynamics Reading: Shu, Vol. II, Ch. 21 14.1 The equations of magnetohydrodynamics In our preceding considerations we have treated gas independent of its state of ionization, yet we know that an ionized medium can carry and be influenced by electromagnetic fields, that should follow Maxwells equations. ~ ~ E = 4 e ~ ~ E =- 1 c ~ B t (14 . 1- 2) ~ ~ B = 0 ~ ~ B = 4 c ~ j e + 1 c ~ E t (14 . 3- 4) where the charge density and current density are e = Z e n i- e n e (14 . 5) ~ j e = Z e n i ~ V i- e n e ~ V e (14 . 6) Implicit to Maxwells equations is the charge conservation, for e t = 1 4 ~ ~ E t = c 4 ~ ( ~ ~ B )- ~ ~ j e e t + ~ ~ j e = 0 (14 . 7) The effect of the electromagnetic fields is different depending on the spatial scale on which they arise. Small-scale perturbations of the fields typically lead to electromagnetic waves which we will discuss later.will discuss later....
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This note was uploaded on 02/29/2012 for the course PHYS 227 taught by Professor Rabe during the Fall '08 term at Rutgers.
- Fall '08