Stability of magnetohydrodynamic stratified shear flows

Parhi, S. ; Nath, G. (1991) Stability of magnetohydrodynamic stratified shear flows Il Nuovo Cimento D, 13D (6). pp. 765-778. ISSN 0392-6737

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The linear stability of a stratified shear flow of a perfectly conducting bounded fluid in the presence of a magnetic field aligned with the flow and buoyancy forces has been studied under Boussinesq approximation. A new upper bound has been obtained for the range of real and imaginary parts of the complex wave velocity for growing perturbations. The upper bound depends on minimum Richardson number, wave number, Alfvén velocity and basic flow velocity. Höiland's necessary criterion for instability of hydrodynamic stratified homogeneous shear flow is modified and its analog for nonhomogeneous magnetohydrodynamic cases is derived. Finally the upper bound for the growth rate of KCi and its variants, where K is the wave number and Ci the imaginary part of complex wave velocity, is derived as the necessary condition of instability. All estimates remain valid even when the minimum richardson number J1, for some practical problems, exceeds 1/4 for growing perturbations.

Item Type:Article
Source:Copyright of this article belongs to Italian Physical Society.
ID Code:37482
Deposited On:18 Apr 2011 13:16
Last Modified:18 Apr 2011 13:16

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