الفهرس 
INTRODUDTIONOnly 14 pages are availabe for public view
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Abstract
The thesis is especially involved with a few crucial stability problems that have crucial and critical applications in numerous domains of science (See Chandrasekhar (1981), Kendal (1986) , Radwan (1995), (2005), (2007), Samia(1995),(1996),(2000) , Hasan (2008),(2011) , Zeinab(2013) and Wright(2019)).
Chapter I. is survey consists of the idea of stability and the evaluation in phrases of ordinary mode technique, Also we have brought the issue of Electrohydrodynamic and defined the basic (EHD) equations of motion. We additionally did write approximately a few preceding research referring to the paintings on this thesis.
Chapter II. Electrohydrodynamic Stability consists of a fluid cylinder with self-gravitation A self-gravitating tenuous medium surrounds it; that is permeated by a transversely variable electric field while being affected by self-gravitating forces, Capillary, and Electrical Forces is covered across all axisymmetric and (non)axisymmetric perturbation types. The problem is solved and all individual solutions are excluded. The model stabilizes as a result of continuous Electric field stability in all perturbation modes. In a narrow area of the axisymmetric perturbation It has been established that self-gravitating and capillary forces have a destabilizing effect. However, the present model instability is improved and modified by self-gravitating and capillary forces’ stabilizing effects in all large axisymmetric fields and (non)axisymmetric domains.
Some results of the present (Chapter II) work has already published in Information Sciences Letters 13(1) (2024) 1-10.
Chapter III. The problem of stability for two flowing fluids moving in an electrogravitational oscillating cylinder is presented. This type of research may be found to examine the interaction of a distinct self-gravitating, dielectric fluid, with densities, ρ^ewith density ρ^iis displayed. A relation to detect the dispersion is constructed analytically explained, and confirmed these results with the numerical computations. The governing equations (equation of motion and equation of continuous) are obtained, providing that the boundary conditions are appropriate. The di-electric streaming system is caused due to the electrodynamic force. The resultant streaming system may give rise to reduce stability for both short and long wave durations. There are unstable and stable zones; however, the system is entirely unstable with an endlessly high growth rate when ρ>0.5 . The difference between these two states, stable and unstable, relies on the value of ρ=ρ^e/ρ^i In this scenario, the gravitational instability of the current model, which forms the basis of this work, will be decreased.
Some results of the present (Chapter III) work has already published in MSA ENGINEERING JOURNAL 2(3) (2023) 206-218.