An instability criterion for a finite amplitude localized disturbance in a shear flow of electrically conducting fluids

Details An instability criterion for a finite amplitude localized disturbance in a shear flow of electrically conducting fluids An instability criterion for a finite amplitude localized disturbance in a shear flow of electrically conducting fluids

1997-05-20

arxiv.org/abs/physics/9705024v1

Physics

Fluid Dynamics

10 pages in LaTex, no figures, accepted in Phys. Fluids

Scientific paper

10.1063/1.869303

The stability of shear flows of electrically conducting fluids, with respect to finite amplitude three-dimensional localized disturbances is considered. The time evolution of the fluid impulse integral, characterizing such disturbances, for the case of low magnetic Reynolds number is obtained by integrating analytically the vorticity equation. Analysis of the resulted equation reveals a new instability criterion.

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