MHD stability of streaming fluid cylinder under the effect of capillary force

The magnetohydrodynamic stability criterion of self-gravitating streaming fluid cylinder under the combined effect of, self - gravitating, magnetic and capillary forces has been derived. The results are discussed analytically and some data are verified numerically for different parameters of the problem. The magnetic and capillary forces are stabilizing, but the streaming is destabilizing while the self-gravitating is stabilizing or destabilizing according to restrictions. The stable and unstable domains are identified and moreover the influences of the magnetic and capillary forces on the self - gravitating instability of the model have been examined .The including of the magnetic force together with self-gravitating force improve the instability of the model. However, the self-gravitating instability will never be suppressed whatever are the effects of the MHD force stabilizing effects.