Hydrodynamic stability of selfgravitating streaming magnetized fluid cylinder

¹ Mathematics Department, Women's University College, Ain-Shams University, Asmaa Fahmy Street, Heliopolis, Cairo, Egypt
² Engineering Physics and Mathematics Department, Faculty of Engineering, Ain Shams University, Cairo, Egypt
³ Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science & Technology and Maritime Transport (AAST), P.O. Box 2033, Elhorria, Cairo, Egypt
⁴ Engineering Physics and Mathematics Department, Faculty of Engineering (Mataria), Helwan University, 11321 Cairo, Egypt

^a e-mail: nehad2379@yahoo.com

Received: 5 December 2010
Revised: 21 January 2011
Accepted: 10 February 2011
Published online: 21 July 2011

Abstract

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