A novel pattern in nonlinear interfacial stability for a magnetic fluid column subject to an axial rotation-Reference-Cited by-同舟云学术

A novel pattern in nonlinear interfacial stability for a magnetic fluid column subject to an axial rotation

Published:2022-11 Issue:11 Volume:34 Page:112121
ISSN:1070-6631
Container-title:Physics of Fluids
language:en
Short-container-title:Physics of Fluids

Author:

El-Dib Yusry O.¹^ORCID,El-Sherif L. S.²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

2. Department of Physics, College of Arts and Science in Wadi Al-Dawaser, Prince Sattam bin Abdulaziz University, Wadi-Dawaser 11991, Saudi Arabia

Abstract

Nonlinear differential equations that control the propagation of a surface wave through the surface disconnection between two fluids are described by the Helmholtz–Duffing oscillator having imaginary damping forces. This oscillator is solved without using any perturbation techniques. This study is relevant in many fields such as nanotechnology. Along with the nonlinear analysis, the periodic solution and the stability criteria are established. Numerical calculations for stability conditions showed vital changes in the stability behavior due to the presence of the rotation ratio.

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0121989

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