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We consider the process of convective dissolution in homogeneous and isotropic porous media. The flow is unstable due to the presence of a solute that induces a density difference responsible for driving the flow. The mixing dynamics is…

Fluid Dynamics · Physics 2024-08-02 Marco De Paoli , Christopher J. Howland , Roberto Verzicco , Detlef Lohse

We analyse the process of convective mixing in two-dimensional, homogeneous and isotropic porous media with dispersion. We considered a Rayleigh-Taylor instability in which the presence of a solute produces density differences driving the…

Fluid Dynamics · Physics 2025-10-08 Marco De Paoli , Guru Sreevanshu Yerragolam , Roberto Verzicco , Detlef Lohse

We assess experimentally the scaling laws that characterize the mixing region produced by the Rayleigh-Taylor instability in a confined porous medium. In particular, we wish to assess experimentally the existence of a superlinear scaling…

Fluid Dynamics · Physics 2024-08-02 Marco De Paoli , Diego Perissutti , Cristian Marchioli , Alfredo Soldati

This work studies the effect of the heterogeneity of a porous medium on convective mixing. We consider a system where a Rayleigh-B\'enard instability is triggered by a temperature difference between the top and bottom boundaries.…

Fluid Dynamics · Physics 2025-10-13 Rima Benhammadi , Juan J. Hidalgo

Convective mixing in porous media is crucial in both geophysical and industrial fields, spanning applications ranging from carbon dioxide sequestration to contaminant transport in groundwater. Key processes are affected by convective heat…

Fluid Dynamics · Physics 2025-12-29 Marco De Paoli , Sergio Pirozzoli , Lou Kondic

Periodic forcing of flow in compressible porous media is an important driver for solute dispersion and mixing in geological and engineered porous media subject for example to tides, pumping and recharge cycles, or fluid injection and…

Fluid Dynamics · Physics 2025-06-17 Satoshi Tajima , Marco Dentz

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

Abstract. The present work considers a change in the momentum under the transfer of a solution through the interface. It is shown that pressure related to the partial volumes of components arises in a solution under diffusion. As a result,…

Statistical Mechanics · Physics 2021-02-16 Alex Guskov

Multiphase flows are characterized by sharp moving interfaces, separating different fluids or phases. In many cases the dynamics of the interface determines the behavior of the flow. In a coarse, or reduced order model, it may therefore be…

Fluid Dynamics · Physics 2021-08-12 Xianyang Chen , Jiacai Lu , Gretar Tryggvason

We present an experimental study of immiscible, two-phase fluid flow through a three-dimensional porous medium consisting of randomly-packed, monodisperse glass spheres. Our experiments combine refractive-index matching and laser-induced…

We investigate how models of fluid properties and boundary conditions influence predictions of convective mixing in confined porous media, with relevance to subsurface carbon dioxide storage. Using high-resolution simulations at high…

Fluid Dynamics · Physics 2026-04-28 Marco De Paoli , Sergio Pirozzoli

Pushing two fluids with different density one against the other causes the development of the Rayleigh-Taylor instability at their interface, which further evolves in a complex mixing layer. In porous media, this process is influenced by…

Fluid Dynamics · Physics 2020-06-15 G. Boffetta , M. Borgnino , S. Musacchio

We perform linear and nonlinear stability analysis for thermal convection in a fluid overlying a saturated porous medium. We use a coupled system, with the Navier-Stokes equations and Darcy's equation governing the free-flow and the porous…

Fluid Dynamics · Physics 2019-07-08 M. McCurdy , M. N. J. Moore , X. Wang

Fluid--fluid interfacial instability and subsequent fluid mixing are ubiquitous in nature and engineering. The hydrodynamic instability of fluid interfaces has long centered on the pressure gradient-driven long-wavelength Rayleigh--Taylor…

We study the pore-scale transport of a conservative scalar forming an advancing mixing front, which can be re-interpreted to predict instantaneous mixing-limited bimolecular reactions. We investigate this using a set of two-dimensional,…

Fluid Dynamics · Physics 2024-11-07 Saif Farhat , Guillem Sole-Mari , Diogo Bolster

Mixing fronts form when fluids with different chemical compositions are brought into contact. They influence a large range of biogeochemical processes in hydrological systems. An important mechanism governing mixing rates in such fronts is…

Fluid Dynamics · Physics 2023-09-13 Gauthier Rousseau , Satoshi Izumoto , Tanguy Le Borgne , Joris Heyman

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…

Fluid Dynamics · Physics 2018-08-29 M. M. Scase , R. J. A. Hill

Understanding how turbulence enhances irreversible scalar mixing in density-stratified fluids is a central problem in geophysical fluid dynamics. While isotropic overturning regions are commonly the focus of mixing analyses, we here…

Fluid Dynamics · Physics 2023-04-20 Miles M. P. Couchman , Stephen M. de Bruyn Kops , Colm-cille P. Caulfield

The Rayleigh-Taylor instability develops when fluids are accelerated counter to their density gradients; intense interfacial fluid mixing ensues with time. The Rayleigh-Taylor mixing controls a broad range of processes in fluids, plasmas,…

Plasma Physics · Physics 2019-10-31 Evgeny E. Meshkov , Snezhana I. Abarzhi

This work focuses on the interfacial dynamics with interfacial mass flux in the presence of acceleration and surface tension. We employ the general matrix method to find the fundamental solutions for the linearized boundary value problem…

Fluid Dynamics · Physics 2021-07-07 D. V. Ilyin , S. I. Abarzhi
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