الفهرس 
INTRODUCTIONOnly 14 pages are availabe for public view
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Abstract
The primary focus of this thesis revolves around addressing critical stability issues pertaining to superposed fluid layers experiencing self-gravitational forces and influenced by a transversely varying magnetic field. The investigation delves into the intricate dynamics of fluid layers that not only bear the effects of their own gravitational forces but also interact with a magnetic field exhibiting transverse variations. The aim is to comprehensively explore and analyze the stability challenges inherent in such a system, shedding light on the nuanced interplay between self-gravity, fluid behavior, and the magnetic field’s spatial variability.
Chapter I, the content encompasses a detailed exploration of key elements, including an in-depth examination of stability concepts, methodologies employed in stability analysis, fundamental equations governing the system, specified boundary conditions, a comprehensive survey of prior research, and a detailed discussion of the current work undertaken. This chapter serves as a foundational overview, offering readers a thorough understanding of the critical components that form the basis for the subsequent discussions and analyses presented in the thesis.
Chapter II. The study centered on a detailed analysis of the stability of a self-gravitating magneto-hydrodynamic flow confined within a cylindrical structure. The investigation involved a comprehensive exploration of the eigenvalue relationship using analytical derivatives, providing in-depth insights into the acquired results. To corroborate the theoretical findings, extensive numerical simulations were executed. The examination revealed the substantial roles played by magnetic and capillary forces in fostering stability within the system, resulting in a prominently stable state. In contrast, the streaming component exhibited destabilizing effects on the system. The (UN) stable domains were meticulously identified, shedding light on specific conditions where stability prevailed or waned. Moreover, the study placed particular emphasis on elucidating the isolated impacts of capillary effects and magnetic fields exclusively on the self-gravitating instabilities inherent in the model. This comprehensive approach aimed to deepen our understanding of the intricate dynamics governing the stability of the described magneto-hydrodynamic flow.
Some results of the present (Chapter II) work has already published in Information Sciences Letters 13 (1) (2024), 11-19.
Chapter III. Delves into the stability analysis of a magneto-gravitational oscillating extender hosting two flowing fluids. This investigation explores the intricate dynamics arising from the interaction between a distinct self-gravitating magnetic fluid, characterized by densities ρ^i and ρ^e. An analytical approach is employed to construct a relationship for detecting dispersion, with results subsequently validated through numerical computations. The governing equations, encompassing the equation of motion and continuity equation, are derived, contingent upon appropriate boundary conditions. The magnetic streaming system is engendered by the magneto-dynamic force, influencing the stability of both short and long wave conditions. This investigation significantly contributes to understanding the gravitational instability inherent in the current model, forming the foundational basis for this study, and elucidates how it diminishes under specific conditions.
Some results of the present (Chapter III.) Work has already published in MSA ENGINEERING JOURNAL 2(3) (2023) 219-233.