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

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 r...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 34; no. 11
Main Authors El-Dib, Yusry O., El-Sherif, L. S.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.11.2022
Subjects
Damping
Duffing oscillators
Interface stability
Magnetic fluids
Nonlinear analysis
Nonlinear differential equations
Perturbation methods
Rotation
Stability analysis
Stability criteria
Surface waves
Wave propagation
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:1070-6631
1089-7666
DOI:10.1063/5.0121989