STABILITY OF STREAMING COMPRESSIBLE FLUID CYLINDER PERVADED BY AXIAL MAGNETIC FIELD AND SUROUUNDED BY DIFFERENT MAGNETIC FIELD

Abstract

Stability of compressible streaming uid cylinder of radius R0 af- fected by surface tension and pervaded by axial magnetic eld has been developed, the dispersion relation is established in general form we found out that the model is capillary unstable only in the axisymmetric mode m = 0, the electromagnetic forces acting inside and outside the uid cylinder has stabilizing e ect and the magnetohydrydrodynamic sta- bility is destabilizing for small wave length. In the latter case the in- stability shrinks with increasing the magnetic intensity. However the compressibility has a stabilizing e ect and the streaming has destabiliz- ing e ect. This study has applications in uid mechanics, astrophysics and in pumping oil.