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We study the mixing in the presence of convective flow in a porous medium. Convection is characterized by the formation of vortices and stagnation points, where the fluid interface is stretched and compressed enhancing mixing. We analyze…

流体动力学 · 物理学 2018-02-14 Juan J. Hidalgo , Marco Dentz

We study the Rayleigh-Taylor instability for two miscible, incompressible, inviscid fluids. Scale-invariant estimates for the size of the mixing zone and coarsening of internal structures in the fully nonlinear regime are established…

偏微分方程分析 · 数学 2024-12-20 Konstantin Kalinin , Govind Menon , Bian Wu

In this article we consider the inhomogeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity as a differential inclusion. By considering the relaxation of the…

偏微分方程分析 · 数学 2021-06-15 Björn Gebhard , József J. Kolumbán , László Székelyhidi

Fluid transport in microfluidic systems typically is laminar due to the low Reynolds number characteristic of the flow. The inclusion of suspended polymers imparts elasticity to fluids, allowing instabilities to be excited when substantial…

软凝聚态物质 · 物理学 2015-05-18 R. M. Bryce , M. R. Freeman

The linearized Navier-Stokes equations for a system of superposed immiscible compressible ideal fluids are analyzed. The results of the analysis reconcile the stabilizing and destabilizing effects of compressibility reported in the…

流体动力学 · 物理学 2009-11-10 Daniel Livescu

When a liquid drop strikes a deep pool of a second liquid, an impact crater opens while the liquid of the drop decelerates and spreads on the surface of the crater. If the density of the drop is larger than the surrounding, the interface…

流体动力学 · 物理学 2020-12-21 V. Lherm , R. Deguen , T. Alboussière , M. Landeau

Fingering instabilities akin to the Rayleigh-Taylor (RT) instability in fluids have been observed in a binary granular system consisting of dense and small particles layered on top of lighter and larger particles, when the system is…

This work investigates the morphological stability of a soft body composed of two heavy elastic layers, attached to a rigid surface and subjected only to the bulk gravity force. Using theoretical and computational tools, we characterize the…

软凝聚态物质 · 物理学 2017-09-21 Davide Riccobelli , Pasquale Ciarletta

The Rayleigh--Taylor instability which is responsible for the occurrence of narrow upward jets are studied in the scope of the nonhydrostatic model with horizontally--nonuniform density and the Newtonian cooling. As analysis shows, the…

流体动力学 · 物理学 2016-02-02 V. P. Goncharov , V. I. Pavlov

This article is concerned with the dynamic behaviour of two immiscible and incompressible fluids in a cylindrical domain, which are separated by a sharp interface. In case that the heavy fluid is situated on top of the light fluid, one…

偏微分方程分析 · 数学 2017-03-16 Mathias Wilke

We report on two- and three-dimensional numerical simulations of Rayleigh-Taylor instabilities in immiscible fluids. A diffuse-interface model that combines the Cahn-Hilliard equation, governing the evolution of the volume fraction of one…

流体动力学 · 物理学 2021-01-05 Raphael Zanella , György Tegze , Romain LeTellier , Hervé Henry

These fluid dynamics video sequences show two Rayleigh-Taylor instability experiments. The first video sequence shows an experiment where two layers of uniform density are arranged such that the density of the upper layer is greater than…

流体动力学 · 物理学 2012-10-10 Megan S. Davies Wykes , Stuart B. Dalziel

The effects of a dispersed particulate phase on the onset of Rayleigh-B\'enard convection in a fluid layer is studied theoretically by means of a two-fluid Eulerian modelization. The particles are non-Brownian, spherical, with inertia and…

流体动力学 · 物理学 2024-12-24 Saad Raza , Silvia C. Hirata , Enrico Calzavarini

We study the equations obtained from linearizing the compressible Navier-Stokes equations around a steady-state profile with a heavier fluid lying above a lighter fluid along a planar interface, i.e. a Rayleigh-Taylor instability. We…

偏微分方程分析 · 数学 2009-11-25 Yan Guo , Ian Tice

The role of polymers additives on the turbulent convective flow of a Rayleigh--Taylor system is investigated by means of direct numerical simulations (DNS) of Oldroyd-B viscoelastic model. The dynamics of polymers elongation follow…

混沌动力学 · 物理学 2015-05-27 G. Boffetta , A. Mazzino , S. Musacchio

The diffusion of a solute from a concentrated source into a horizontal, stationary, fluid-saturated porous medium can lead to a convective motion when a gravitationally unstable density stratification evolves. In an inclined porous medium,…

流体动力学 · 物理学 2022-01-26 Emmanuel E. Luther , Michael C. Dallaston , Seyed M. Shariatipour , Ran Holtzman

The effect of rotation on the classical gravity-driven Rayleigh-Taylor instability has been shown to influence the scale of the perturbations that develop at the unstable interface and consequently alter the speed of propagation of the…

流体动力学 · 物理学 2018-08-29 M. M. Scase , R. J. A. Hill

We extend the ideas of Kolmogorov theory on symmetries of turbulent dynamics to analyze invariants, scaling and spectra of unsteady turbulent mixing induced by the Rayleigh-Taylor instability. Time- and scale-invariance of the rate of…

等离子体物理 · 物理学 2010-04-28 Snezhana I. Abarzhi

Simple observations of evaporating solutions reveal a complex hierarchy of spatio-temporal instabilities. We analyze one such instability suggested by the qualitative observations of Du and Stone and find that it is driven by a novel…

统计力学 · 物理学 2012-01-17 Robert W. Style , John. S. Wettlaufer

We investigate the role of the evaporation regime on the stability of a volatile liquid film flowing over an inclined heated surface while considering the dynamics of both the liquid phase and the diffusion of its vapor. We (i) modify the…

流体动力学 · 物理学 2024-06-04 Omair A. A. Mohamed , Luca Biancofiore