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The current work analyses the onset characteristics of buoyancy and thermocapillary-driven instabilities in two-layer binary fluid systems near their upper critical solution temperature (UCST). The dynamics of the binary fluids are modelled…

Fluid Dynamics · Physics 2026-03-04 Saumyakanta Mishra , S. V. Diwakar

Coupled mixed convective and stratified systems are common in natural flows. To study experimentally the associated dynamics, we use a singular property of water: its non-linear equation of state is characterised by a maximum density close…

Fluid Dynamics · Physics 2020-11-10 Pierre Léard , Benjamin Favier , Patrice Le Gal , Michael Le Bars

This paper investigates the stability of interfacial long waves in two-layer plane Couette flow using a nonlinear, nonlocal asymptotic model derived from the Navier-Stokes equations and valid for thin upper layers. Nonlocality enters…

Fluid Dynamics · Physics 2026-02-17 Xingyu Wang , Pierre Germain , Demetrios T. Papageorgiou

This study examines the stability of a flexible material interface between two fluids of the same viscosity in interaction with a free surface. When the layers are motionless, we provide evidence for the onset of a novel instability by…

Fluid Dynamics · Physics 2024-11-05 Joris Labarbe

Laboratory studies reveal a deformational instability that leads to a drained region (dry spot) in an initially flat liquid layer (with a free upper surface) heated uniformly from below. This long-wavelength instability supplants hexagonal…

In a binary fluid mixture, the concentration gradient of a heavier molecular solute leads to a diffusive flux of solvent and solute to achieve thermodynamic equilibrium. If the solute concentration decreases with height, the system is…

This work investigates the two-dimensional thermal behavior of a bilayer medium subject to both internal and external heat sources. The model incorporates diffusion, advection, and temperature-dependent volumetric heat generation or…

Fluid Dynamics · Physics 2025-11-12 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

In this paper we study thermoconvective instabilities appearing in a fluid within a cylindrical annulus heated laterally. As soon as a horizontal temperature gradient is applied a convective state appears. As the temperature gradient…

Analysis of PDEs · Mathematics 2009-11-07 S. Hoyas , H. Herrero , A. M. Mancho

In this paper, the instability of layered two-phase flows caused by the presence of a soluble surfactant (or a surface active solute) is studied. The fluids have different viscosities, but are density matched to focus on Marangoni effects.…

Fluid Dynamics · Physics 2016-03-29 Jason R. Picardo , Radhakrishna T. G. , S. Pushpavanam

Thermal motions in the 2D Lennard-Jones liquid near solidification are studied at equilibrium and under shear flow conditions. At the temperatures of the study, the liquid is significantly aggregated. On times of few to few tens of…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 Alexander Z. Patashinski , Rafal Orlik , Mark A. Ratner

We study from the numerical point of view, instabilities developed in a fluid layer with a free surface, in a cylindrical container which is non-homogeneously heated from below. In particular we consider the case in which the applied heat…

Pattern Formation and Solitons · Physics 2007-05-23 M. C. Navarro , A. M. Mancho , H. Herrero

We present a numerical study of double-diffusive convection characterized by a stratification unstable to thermal convection while at the same time a mean molecular weight (or solute concentration) difference between top and bottom…

Fluid Dynamics · Physics 2019-06-28 Florian Zaussinger , Friedrich Kupka

We study instabilities and pattern formation in reaction-diffusion layers that are diffusively coupled. For two-layer systems of identical two-component reactions, we analyze the stability of homogeneous steady states by exploiting the…

Pattern Formation and Solitons · Physics 2015-06-03 Anne J. Catlla , Amelia McNamara , Chad M. Topaz

We investigate the non-linear dynamics of a two-dimensional film flowing down a finite heater, for a non-volatile and a volatile liquid. An oscillatory instability is predicted beyond a critical value of Marangoni number using linear…

Fluid Dynamics · Physics 2014-03-21 Harshwardhan H. Katkar , Jeffrey M. Davis

We study the (local) propagation of plane waves in a relativistic, non-dissipative, two-fluid system, allowing for a relative velocity in the "background" configuration. The main aim is to analyze relativistic two-stream instability. This…

General Relativity and Quantum Cosmology · Physics 2010-11-29 L. Samuelsson , C. S. Lopez-Monsalvo , N. Andersson , G. L. Comer

A Rayleigh B\'enard instability study using the energy conserving dissipative particle dynamics method is presented here for the first time. The simulation is performed on an ideal dissipative particle dynamics fluid in a three dimensional…

Statistical Mechanics · Physics 2012-01-19 Anuj Chaudhri , Jennifer R. Lukes

The effects of thermal coupling between two thin liquid layers, separated by a gas layer, are discussed. The liquid layers undergo long-wavelength instabilities driven by gravitational and thermocapillary stresses. To study the dynamics,…

Pattern Formation and Solitons · Physics 2014-07-14 Miklós Vécsei , Mathias Dietzel , Steffen Hardt

Buoyancy-thermocapillary convection in a layer of volatile liquid driven by a horizontal temperature gradient arises in a variety of situations. Recent studies have shown that the composition of the gas phase, which is typically a mixture…

Fluid Dynamics · Physics 2018-01-16 Roman O. Grigoriev , Tongran Qin

In a range of physical systems, the first instability in Rayleigh-Bernard convection between nearly thermally insulating horizontal plates is large scale. This holds for thermal convection of fluids saturating porous media. Large-scale…

Fluid Dynamics · Physics 2008-08-20 Denis S. Goldobin , Elizaveta V. Shklyaeva

Electrohydrodynamic instabilities of fluid-fluid interfaces can be exploited in various microfluidic applications in order to enhance mixing, replicate well-controlled patterns or generate drops of a particular size. In this work, we study…

Fluid Dynamics · Physics 2021-06-29 Mohammadhossein Firouznia , David Saintillan