Hydromagnetic instability of a resistive hollow jet

Abstract

The magnetohydrodynamic (MHD) stability criterion of a resistive hollow cylinder with respect to its capillary, pressure gradient, and electromagnetic forces is established. Numerous stability criteria are obtained as limiting cases from the present relation. The capillary force is destabilizing only for certain wavelengths to axisymmetric mode and stable to all other disturbances. There are three different cases for discussing the electromagnetic force (EMF) influence on the resistive hollow jet instability. As the fluid is with finite resistivity, the EMF does not have any influence on the capillary instability of a resistive hollow jet, however, the finite resistivity has a stabilizing tendency on the MHD hollow jet. As the fluid has infinite resistivity, the EMF is (de-)stabilizing according to restrictions. As the fluid is with zero resistivity, the EMF exerts an influence giving a sort of rigidity to the conducting fluid and that influence causes the bending and twisting of the lines of force in the fluid. Consequently, for a magnetic field of high intensity the capillary destabilization could be suppressed and stability arises.PACS No.: 47.17+e