Hydromagnetic stability of streaming hollow jet with double perturbed interfaces

In the present work the magnetohydrodynamics instability of a streaming annular gas–fluid jet of double perturbed interfaces has been developed for all perturbation modes. The problem is formulated analytically, solved and the stability criterion is derived and discussed. The hydrodynamic, magnetodynamic and MHD instability states are determined. The transverse two dimensions (as k=0, k is the longitudinal wavenumber) is unaffected by the magnetic fields effect. In absence of the magnetic field influence, the present result is in good agreement with the experimental Kendallʹs [cf. Kendall J Phys Fluids 29;1986:2086] result. The streaming has a destabilizing influence in hydrodynamic and MHD versions. The axial magnetic field penetrated the mantle jet is stabilizing for all (non-)axisymmetric perturbation modes. The capillary force is destabilizing or not according to restrictions. It is found that as the magnetic field strength is so strong such that the Alfven magnetic wave velocity is much larger than the streaming velocity, the magnetic fields stabilizing influence predominating and overcoming the capillary and streaming destabilizing influences and then stability sets in.