M. Weinstein et T. Miloh, ROTATION AND MAGNETIC EFFECT ON THE NON-AXISYMMETRICAL TEMPORAL INSTABILITY OF A CAPILLARY JET, Fluid dynamics research, 18(5), 1996, pp. 289-305
The non-axisymmetric capillary instability of a cylindrical jet and it
s break-up in another fluid are investigated in the case when the jet
is subject to the combined effect of rotation, axial motion, and axial
magnetic field. The criterion for maximum instability enables the det
ermination of the intact jet length and size of the droplets produced
in the course of the jet break-up process. Computational results for m
odes m = 1, 2, 3 and 4 show that non-axisymmetry postpones the onset o
f instability and for m = 3 and m = 4 the occurrence of instability is
made possible only by substantially increasing both the angular veloc
ity Omega(1), and by a limited permissible increase of \W-1 - W-2\, th
e difference between axial velocities. These results also show that th
e droplet radius and jet length are increasing due to the stabilizing
effect of the axial magnetic field. Rotation will cause these two quan
tities to diminish or enlarge according to the relative angular veloci
ties of the jet and the surrounding medium.