Instabilities in non-equilibrium M.H.D. plasmas - A review

Solbes, A.

doi:10.2514/6.1970-40

Cited by 1 publication

(3 citation statements)

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“…For the amplitude function we obtain The coefficient *^, of the linear term is proportional to the stability term obtained from linear wave analysis. Its consequences are reviewed in reference (4). It is found that the oscillation is most unstable for propagation at the angle given by…”

Section: Infinite Lonization Rate Limitmentioning

confidence: 99%

“…We now consider the energy equation (9) by eliminating J • E* in terms of (l/a)s 2 by taking the dot product of j with equation (4). It should then be obvious from equations (21), (23), (32), and (34) that the energy equation can be expanded in a power series in T e /(T e ).…”

Section: Sl 16^mentioning

confidence: 99%

“…This case has been extensively analyzed with regard to MHD generators and was reviewed in reference (4). In that study, terms were retained to second order in fluctuating quantities.…”

Section: Introductionmentioning

confidence: 99%

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Quasi-linear theory of electron density and temperature fluctuations with application to MHD generators and MPD arc thrusters

Smith

1972

10th Aerospace Sciences Meeting

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Fluctuations in electron density and temperature coupled through Ohm's law are studied for an ionizable medium. The nonlinear effects are considered in the limit of a third order quasi-linear treatment. Equations are derived for the amplitude of the fluctuation. Conditions under which a steady state can exist in the presence of the fluctuation are examined and effective transport properties are determined. A comparison is made to previously considered second order theory. The effect of third order terms indicates the possibility of fluctuations existing in regions predicted stable by previous analysis.

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Section: Infinite Lonization Rate Limitmentioning

confidence: 99%

Section: Sl 16^mentioning

confidence: 99%