Journal ArticleDOI
Development of a steady relief at the interface of fluids in a vibrational field
D. V. Lyubimov,A. A. Cherepanov +1 more
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TLDR
In this paper, an analysis of the behavior of the interface of fluids with comparable densities in a high-frequency vibrational field is presented, showing that vertical vibrations can lead both to the parametric excitation of waves (Faraday ripples) and to the suppression of the Rayleigh-Taylor instability.Abstract:
The vibrations of a vessel strongly influence the behavior of the interface of the fluids in it. Thus, vertical vibrations can lead both to the parametric excitation of waves (Faraday ripples) and to the suppression of the Rayleigh-Taylor instability [1–2]. At the present time, the influence of vertical vibrations on the behavior of a fluid surface have been studied in sufficient detail (see, for example, review [3]). The behavior of an interface of fluids in the case of horizontal vibrations has been studied less. An interesting phenomenon has been revealed in the experimental papers [4, 5]: in the case of fairly strong horizontal vibrations of a vessel containing a fluid with a free surface, the fluid collects near one of the vertical vessel walls, the free surface being practically plane and stationary with respect to the vessel, while its angle of inclination to the horizon depends on the vibration rate. But if there is a system of immiscible fluids with comparable but different densities in the vessel, horizontal vibrations lead to the formation of a steady wave relief at the interface. An explanation of the behavior of a fluid with a free boundary was given in [6] on the basis of averaged equations of fluid motion in a vibrational field. The present paper is devoted to an analysis of the behavior of the interface of fluids with comparable densities in a high-frequency vibrational field.read more
Citations
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Book
Liquid Sloshing Dynamics
TL;DR: In this article, the authors present a detailed review of liquid sloshing dynamics in rigid containers, including linear forced and non-linear interaction under external and parametric excitations.
Journal ArticleDOI
The influence of viscosity on the frozen wave instability: theory and experiment
TL;DR: In this article, an experimental and linear stability study of the influence of viscosity on the frozen wave instability is presented, which arises when a vessel containing stably stratified layers of immiscible liquids is oscillated horizontally.
Journal ArticleDOI
Stability of plane-parallel vibrational flow in a two-layer system
TL;DR: In this paper, the stability of the interface separating immiscible incompressible fluids of different densities and viscosities is considered in the case of fluids filling a cavity which performs horizontal harmonic oscillations.
Book ChapterDOI
Liquid Sloshing Dynamics: Fluid field equations and modal analysis in rigid containers
TL;DR: In this paper, the Dirichlet boundary conditions are classified into three classes: Neumann boundary conditions, Cauchy boundary conditions and Cauchey boundary conditions for a partially filled container.
Journal ArticleDOI
Instability of a viscous interface under horizontal oscillation
Emma Talib,Anne Juel +1 more
TL;DR: In this article, the linear stability of superposed layers of viscous, immiscible fluids of different densities subject to horizontal oscillations is analyzed with a spectral collocation method and Floquet theory.
References
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Perturbation Methods
Ali H. Nayfeh,Vimal Singh +1 more
TL;DR: This website becomes a very available place to look for countless perturbation methods sources and sources about the books from countries in the world are provided.
Journal ArticleDOI
Dynamic Stabilization of the Interchange Instability of a Liquid-Gas Interface
TL;DR: The Rayleigh-Taylor instability of a viscous liquid superimposed upon air can be dynamically stabilized by oscillating the liquid perpendicularly to its horizontal equilibrium surface, thus maintaining the position of the liquid for an arbitrary time.
Journal ArticleDOI
The dynamic stabilization of the Rayleigh-Taylor instability and the corresponding dynamic equilibrium
TL;DR: In this paper, conditions for dynamically stabilizing the Rayleigh-Taylor instability of a fluid interface and attaining the corresponding dynamic equilibrium were derived for an aqueous solution of Potassium Jodide.
Journal ArticleDOI
Formation of the hexagonal pattern on the surface of a ferromagnetic fluid in an applied magnetic field
TL;DR: In this paper, it was shown that the surface may be unstable when the magnetic field strength exceeds a certain critical value Bc. The authors considered three possible configurations for the surface: (i) flat surface, (ii) stationary hexagonal pattern, (iii) stationary square pattern.
Journal ArticleDOI
Parametric excitation of surface waves
TL;DR: In this article, the authors address problems concerning the parametric stability of a liquid surface which can serve as models of plasma instabilities, and propose an approach to model the stability of the surface.
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