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We consider the evolution of a family of 2D dispersive turbulence models. The members of this family involve the nonlinear advection of a dynamically active scalar field, the locality of the streamfunction-scalar relation is denoted by…

Fluid Dynamics · Physics 2009-02-20 Jai Sukhatme , Leslie M. Smith

The transverse and longitudinal current correlation functions are evaluated in liquid and amorphous sodium by computer simulation. The study of the corresponding spectra as a function of the wavevector $k$ allows the evaluation of a…

Soft Condensed Matter · Physics 2015-09-11 Giulia De Lorenzi-Venneri , Renzo Vallauri

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…

Fluid Dynamics · Physics 2018-02-14 Juan J. Hidalgo , Marco Dentz

We propose a theory for erosional channelization induced by fluid flow in a saturated granular porous medium. When the local fluid flow-induced stress is larger than a critical threshold, grains are dislodged and carried away so that the…

Pattern Formation and Solitons · Physics 2010-09-06 Amala Mahadevan , L. Mahadevan

We study the transition from fluid at rest to turbulence in a rotating water cylinder. We show that the energy, injected at a given height, is transported by inertial wave packets through the fluid volume. These waves propagate at…

Fluid Dynamics · Physics 2009-11-13 Itamar Kolvin , Kobi Cohen , Yuval Vardi , Eran Sharon

Porous media with hierarchical structures are commonly encountered in both natural and synthetic materials, e.g., fractured rock formations, porous electrodes and fibrous materials, which generally consist of two or more distinguishable…

Soft Condensed Matter · Physics 2020-03-18 Si Suo , Mingchao Liu , Yixiang Gan

The diffusive transport in two-dimensional incompressible turbulent fields is investigated with the aid of high-quality direct numerical simulations. Three classes of turbulence spectra that are able to capture both short and long-range…

Fluid Dynamics · Physics 2023-03-24 D. I. Palade , L. M. Pomârjanschi , M. Ghită

Multiphase systems are ubiquitous in engineering, biology, and materials science, where understanding their complex interactions and rheological behavior is crucial for advancing applications ranging from emulsion stability to cellular…

Fluid Dynamics · Physics 2025-10-27 Andres Santiago Espinosa-Moreno , Nicolas Moreno , Marco Ellero

Understanding flow and transport of bacteria in porous media is crucial to technologies such as bioremediation, biomineralization or enhanced oil recovery. While physicochemical bacteria filtration is well-documented, recent studies showed…

Soft Condensed Matter · Physics 2022-08-24 Marco Dentz , Adama Creppy , Carine Douarche , Eric Clément , Harold Auradou

We investigate the statistics of turbulence in emulsions of two-immiscible fluids of same density. We compute for the first time velocity increments between points conditioned to be located in the same phase or in different phases and…

This study outlines a model for injected fluid flow in a vertically confined porous aquifer with mechanical dispersion. Existing studies have investigated the behaviour and geometry of immiscible fluid flow in this setting, where the…

Fluid Dynamics · Physics 2024-06-19 Benjamin W. A. Hyatt , Yuri Leonenko

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

Fluid Dynamics · Physics 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

The effect of the variations of the permeability tensor on the close-to-the-wall behaviour of a turbulent channel flow bounded by porous walls is explored using a set of direct numerical simulations. It is found that the total drag can be…

Fluid Dynamics · Physics 2018-02-05 Marco Edoardo Rosti , Luca Brandt , Alfredo Pinelli

Two-phase surfactant-laden flow and transport in porous media are central to many natural and engineering applications. Surfactants alter two-phase flow by modifying interfacial tension and wettability, while two-phase flow controls…

Fluid Dynamics · Physics 2026-02-02 Sidian Chen , Bo Guo , Tianyuan Zheng

We use novel, fast 4D Synchrotron X-ray imaging with large field-of-view to reveal pore- and macro-scale drainage dynamics during gas-brine flow through a layered sandstone rock sample. We show that a single centimetre-scale layer, similar…

Fluid Dynamics · Physics 2025-11-10 Catrin Harris , Sam Krevor , Ann H Muggeridge , Michael Camilleri , Samuel J. Jackson

The relationship between the microstructure of a porous medium and the observed flow distribution is still a puzzle. We resolve it with an analytical model, where the local correlations between adjacent pores, which determine the…

Fluid Dynamics · Physics 2017-10-16 Karen Alim , Shima Parsa , David A. Weitz , Michael P. Brenner

The influence of a small relative density difference on the displacement of two miscible liquids is studied experimentally in transparent 2D networks of micro channels. Both stable displacements in which the denser fluid enters at the…

Coupling between chemical fuel consumption and phase separation can lead to condensation at a nonequilibrium steady state, resulting in phase behaviors that are not described by equilibrium thermodynamics. Theoretical models of such…

Soft Condensed Matter · Physics 2025-05-23 Yongick Cho , William M. Jacobs

We report a numerical study of Rayleigh--B\'enard convection through random porous media using pore-scale modelling, focusing on the Lagrangian dynamics of fluid particles and heat transfer for varied porosities $\phi$. Due to the…

Fluid Dynamics · Physics 2021-04-29 Shuang Liu , Linfeng Jiang , Cheng Wang , Chao Sun

Miscible multiphase flow in porous media is a key phenomenon in various industrial and natural processes, such as hydrogen storage and geological carbon sequestration. However, the parameters controlling the patterns of displacement and…

Fluid Dynamics · Physics 2023-12-19 Yahel Eliyahu-Yakir , Ludmila Abezga , Yaniv Edery