6 research outputs found
An instability criterion for a finite amplitude localized disturbance in a shear flow of electrically conducting fluids
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.Comment: 10 pages in LaTex, no figures, accepted in Phys. Fluid