Hydromagnetic Stability of a Self-gravitating Oscillating Fluid Cylinder

Authors

S. S. Elazab, Mathematics Department, Faculty of Women, Ain Shams University, Cairo, EgyptFollow
A. A. Hasan, Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science and Technology and Maritime Transport (AASTMT), Aswan, EgyptFollow
Z. M. Ismail, Mathematics Department, Faculty of Women, Ain Shams University, Cairo, EgyptFollow
G. H. Zidan, Mathematics Department, Faculty of Women, Ain Shams University, Cairo, EgyptFollow

Abstract

The hydro-magnetic stability of a self-gravitating oscillating medium with streams of variable velocities for fluid cylinder has been defined and investigated. The streaming is unstable, but the magnetic field has a significant stabilizing effect. Under certain conditions, the rotating forces have a stabilizing effect. Using suitable and specific conditionsto distinguish between stable and unstable domains, the stability criterion is derived and investigated numerically and analytically. The effects of inertial self-gravity, and electromagnetic forces on the stability of a fluid cylinder are studied. All basic functions and equations have been solved after defining the problem.

Recommended Citation

S. Elazab, S.; A. Hasan, A.; M. Ismail, Z.; and H. Zidan, G. (2024) "Hydromagnetic Stability of a Self-gravitating Oscillating Fluid Cylinder," Information Sciences Letters: Vol. 13 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol13/iss1/2