From the momentum conservation equation with the MHD approximation [see (6.6)], and the generalized Ohm's law in

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From the momentum conservation equation with the MHD approximation [see (6.6)], and the generalized Ohm's law in the simplified form (6.10), but without considering the Hall effect term, derive the following equation:

Solve this equation, considering that E = 0 and p = constant, to show that the fluid velocity perpendicular to B is given by

where τ is a characteristic time for diffusion of the fluid across the magnetic field lines, given by

Equations

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Fundamentals Of Plasma Physics

ISBN: 9780387209753

3rd Edition

Authors: J. A. Bittencourt

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Question Posted: Aug 11, 2023 03:59 AM

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From the momentum conservation equation with the MHD approximation [see (6.6)], and the generalized Ohm's law in

Question:

Pm Du Dt = go (Ex B) + oo(u × B) x B - Vp

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Fundamentals Of Plasma Physics

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