Rotation and magnetic effect on the non-axisymmetric temporal instability of a capillary jet

The non-axisymmetric capillary instability of a cylindrical jet and its 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 determination of the intact jet length and size of the droplets produced in the course of the jet break-up process. Computational results for modes m = 1, 2, 3 and 4 show that non-axisymmetry postpones the onset of instability and for m = 3 and m = 4 the occurrence of instability is made possible only by substantially increasing both the angular velocity Ω₁ and by a limited permissible increase of |W₁ - W₂|, the difference between axial velocities. These results also show that the droplet radius and jet length are increasing due to the stabilizing effect of the axial magnetic field. Rotation will cause these two quantities to diminish or enlarge according to the relative angular velocities of the jet and the surrounding medium.