Electrogravitational Oscillating Stability of Double streaming Fluids Cylinder

Document Type : Original Article

Author

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

Abstract

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^e, with density ρ^i is 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.

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