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In the classical Rayleigh-Taylor (RT) instability, initial conditions are forgotten and the growth of the mixing layer becomes self-similar when short wavelength modes couple to generate longer wavelength modes. In this paper, we explore…

Fluid Dynamics · Physics 2024-12-16 Mingxuan Liu , Elizabeth P. Hicks

Droplet breakup is important in many natural and industrial processes, but the current classification of breakup regimes, especially the intermediate breakup regime, is ambiguous. In this study, the transitions of breakup regimes for…

Fluid Dynamics · Physics 2025-04-22 Zhikun Xu , Tianyou Wang , Zhizhao Che

The stability of liquid films coating the walls of a parallel-plate channel and sheared by a pressure-driven gas flow along the channel centre is studied. The films are susceptible to a long-wavelength instability, whose dynamic behaviour…

Fluid Dynamics · Physics 2016-04-21 Miklós Vécsei , Mathias Dietzel , Steffen Hardt

A qualitatively different manifestation of the Rayleigh instability is demonstrated, where, instead of the usual extended undulations and breakup of the liquid into many droplets, the instability is localized, leading to an isolated…

Soft Condensed Matter · Physics 2010-02-02 Haim Diamant , Oded Agam

Physical experiments show that a capillary water jet is exponentially unstable under long wave perturbations, while remaining stable under short wave perturbations. Measurements indicate that the exponential growth rate in the long wave…

Analysis of PDEs · Mathematics 2026-03-13 Chengyang Shao , Haocheng Yang

The stability of the interface separating two immiscible incompressible fluids of different densities and viscosities is considered in the case of fluids filling a cavity which performs horizontal harmonic oscillation. There exists a simple…

Fluid Dynamics · Physics 2009-10-31 Mikhail V. Khenner , Dmitrii V. Lyubimov , Tatyana S. Belozerova , Bernard Roux

We investigate the effect of surface tension on the linear Rayleigh--Taylor (RT) instability in stratified incompressible viscous fluids with or without (interface) surface tension. The existence of linear RT instability solutions with…

Mathematical Physics · Physics 2021-05-06 Changsheng Dou , Jialiang Wang , Weiwei Wang

The analysis of the Rayleigh-B\'enard instability due to the mass diffusion in a fluid-saturated horizontal porous layer is reconsidered. The standard diffusion theory based on the variance of the molecular position growing linearly in time…

Fluid Dynamics · Physics 2023-11-28 Antonio Barletta

It is known that an axisymmetric viscous film flowing down the outside of a thin vertical fiber becomes unstable to interfacial perturbations. We present an experimental study using fluids with different densities, surface tensions and…

Fluid Dynamics · Physics 2009-11-13 Linda B. Smolka , Justin North , Bree K. Guerra

Evolution of the single-mode ablative Rayleigh-Taylor instability in the presence of preheating is investigated numerically. It is found that the instability evolution depends strongly on the preheating length $L$ in front of the…

Plasma Physics · Physics 2011-04-27 W. H. Ye , X. T. He , W. Y. Zhang , M. Y. Yu

The hydrodynamic instabilities of propagating interfaces in Hele-Shaw channels or porous media under the influence of an imposed flow and gravitational acceleration are investigated within the framework of Darcy's law. The stability…

Fluid Dynamics · Physics 2025-01-13 Joel Daou , Prabakaran Rajamanickam

We extend exploration of potential vorticity instabilities in cold astrophysical disks whose mean states are baroclinic. In particular, we seek to demonstrate the potential existence of traditional baroclinic instabilities of meteorological…

Solar and Stellar Astrophysics · Physics 2015-06-04 O. M. Umurhan

The Rayleigh-Taylor Instability (RTI) under multi-mode perturbation in compressible flow is probed via the Discrete Boltzmann Modeling (DBM) with tracers. The distribution of tracers provides clear boundaries between light and heavy fluids…

Fluid Dynamics · Physics 2022-10-28 Hanwei Li , Aiguo Xu , Ge Zhang , Yiming Shan

It is commonly accepted that the breakup criteria of drops or bubbles in turbulence is governed by surface tension and inertia. However, also {\it{buoyancy}} can play an important role at breakup. In order to better understand this role,…

Fluid Dynamics · Physics 2022-05-24 Hao-Ran Liu , Kai Leong Chong , Qi Wang , Chong Shen Ng , Roberto Verzicco , Detlef Lohse

Surface diffusion and surface electromigration may lead to a morphological instability of thin solid films and nanowires. In this paper two nonlinear analyses of a morphological instability are developed for a single-crystal cylindrical…

Materials Science · Physics 2025-01-22 Mikhail Khenner

The effect of magnetic field on the nonlinear growth rate of Rayleigh-Taylor instability induced two fluid interfacial structures has been investigated. The magnetic field is assumed to be parallel to the plane of the two fluid interface…

Plasma Physics · Physics 2015-05-27 M. R. Gupta , Labakanta Mandal , Sourav Roy , Manoranjan Khan

Fluid instabilities like Rayleigh-Taylor,Richtmyer-Meshkov and Kelvin-Helmholtz instability can occur in a wide range of physical phenomenon from astrophysical context to Inertial Confinement Fusion(ICF).Using Layzer's potential flow model,…

Plasma Physics · Physics 2015-05-27 Manoranjan Khan , Labakanta Mandal , Rahul Banerjee , Sourav Roy , M. R. Gupta

The basic stationary buoyant flow in a vertical annular porous passage induced by a boundary temperature difference is investigated. The vertical cylindrical boundaries are considered both isothermal and permeable to external fluid…

Fluid Dynamics · Physics 2023-02-03 A. Barletta , M. Celli , D. A. S. Rees

The role of instability in the growth of a 2D, temporally evolving, `turbulent' free shear layer is analyzed using vortex-gas simulations that condense all dynamics into the kinematics of the Biot-Savart relation. The initial evolution of…

Fluid Dynamics · Physics 2020-12-02 Saikishan Suryanarayanan , Garry Brown , Roddam Narasimha

One of the fundamental ways of representing a droplet shape is through its Rayleigh-mode decomposition, in which each mode corresponds to a distinct surface-energy content. The influence of these modes on free oscillation dynamics has been…

Fluid Dynamics · Physics 2026-01-29 Aditya Parik , Sandip Dighe , Tadd Truscott , Som Dutta