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タイトルViscous, resistive magnetohydrodynamic stability computed by spectral techniques
著者(英)Hussaini, M. Y.; Zang, T. A.; Dahlburg, R. B.; Montgomery, D.
著者所属(英)College of William and Mary|NASA Langley Research Center
発行日1983-09-01
言語eng
内容記述Expansions in Chebyshev polynomials are used to study the linear stability of one-dimensional magnetohydrodynamic quasi-equilibria, in the presence of finite resistivity and viscosity. The method is modeled on the one used by Orszag in accurate computation of solutions of the Orr-Sommerfeld equation. Two Reynolds-like numbers involving Alfven speeds, length scales, kinematic viscosity, and magnetic diffusivity govern the stability boundaries, which are determined by the geometric mean of the two Reynolds-like numbers. Marginal stability curves, growth rates versus Reynolds-like numbers, and growth rates versus parallel wave numbers are exhibited. A numerical result that appears general is that instability has been found to be associated with inflection points in the current profile, though no general analytical proof has emerged. It is possible that nonlinear subcritical three-dimensional instabilities may exist, similar to those in Poiseuille and Couette flow.
NASA分類PLASMA PHYSICS
レポートNO84A12275
権利Copyright
URIhttps://repository.exst.jaxa.jp/dspace/handle/a-is/400838


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