Stability of Two Self-Gravitating Magneto -Dynamic Oscillating Fluids Interface

Document Type : Original Article

Author

Mathematics Department, women's College for Arts, Science and Education, Ain Shams University, Cairo, Egypt

Abstract

A compound on miscible fluid jet's magneto hydrodynamics (MHD) stability is
discussed. For that model, which incorporates fluid inertia, capillary forces, and
electromagnetic forces, a general eigenvalue relation is derived. Small axisymmetric
disturbances are the only ones that cause the model to be capillary unstable, and the rest of
the disturbances are stable. The attractive fields inside and outside to the gas-mantle fly have
consistently a settling impact. The radii proportion of the concentric planes assumes a
significant part in the (unsteadiness) security states and are (diminishing) expanding with
expanding attractive field power as the outside span is a lot bigger than the inside range;
under certain limitations of the radii proportion or more a specific worth of the attractive field
the slim precariousness is overlooked and totally smothered and afterward dependability sets
in. The last option result is checked logically and affirmed mathematically for the situation
where the barrel shaped surface of the external stream is sited at endlessness.

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MSA Engineering Journal
Volume 3, Issue 2
December 2024
Pages 64-75

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