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We investigate the stabilization mechanisms of the invasion front in two-dimensional drainage displacement in porous media by using a network simulator. We focus on the process when the front stabilizes due to the viscous forces in the…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

We introduce a general class of stochastic lattice gas models, and derive their fluctuating hydrodynamics description in the large size limit under a local equilibrium hypothesis. The model consists in energetic particles on a lattice…

Statistical Mechanics · Physics 2019-10-22 C. Gutiérrez-Ariza , P. I. Hurtado

We propose coupled evolution equations for the thickness of a liquid film and the density of an adsorbate layer on a partially wetting solid substrate. Therein, running droplets are studied assuming a chemical reaction underneath the…

Soft Condensed Matter · Physics 2007-05-23 Uwe Thiele , Karin John , Markus Bär

We study the transport properties of a system of active particles moving at constant speed in an heterogeneous two-dimensional space. The spatial heterogeneity is modeled by a random distribution of obstacles, which the active particles…

Biological Physics · Physics 2013-10-23 Oleksandr Chepizhko , Fernando Peruani

The dynamics of a tagged particle immersed in a fluid of particles of the same size but different mass is studied when the system is confined between two hard parallel plates separated a distance smaller than twice the diameter of the…

Statistical Mechanics · Physics 2022-12-06 P. Maynar , M. I. García de Soria , J. Javier Brey

Flow of a thin viscous film down a flat inclined plane becomes unstable to long wave interfacial fluctuations when the Reynolds number based on the mean film thickness becomes larger than a critical value (this value decreases as the angle…

Fluid Dynamics · Physics 2016-01-20 Alice B. Thompson , Dmitri Tseluiko , Demetrios T. Papageorgiou

Motivated by the complex rheological behaviors observed in small/micro scale blood vessels, such as the Fahraeus effect, plasma-skimming, shear-thinning, etc., we develop a non-linear suspension model for blood. The viscosity is assumed to…

Fluid Dynamics · Physics 2018-12-26 Wei-Tao Wu , Nadine Aubry , James F. Antaki , Mehrdad Massoudi

A streamwise-constant model is presented to investigate the basic mechanisms responsible for the change in mean flow occuring during pipe flow transition. Using a single forced momentum balance equation, we show that the shape of the…

Fluid Dynamics · Physics 2015-05-27 Jean-Loup Bourguignon , Beverley J. McKeon

A low diffusive flux difference splitting based kinetic scheme is developed based on a discrete velocity Boltzmann equation, with a novel three velocity model. While two discrete velocities are used for upwinding, the third discrete…

Fluid Dynamics · Physics 2024-10-01 Shrinath. K. S , Maruthi. N. H , S. V. Raghurama Rao , Veeredhi Vasudeva Rao

We study laminar thin film flows with large distortions in the free surface using the method of averaging across the flow. Two concrete problems are studied: the circular hydraulic jump and the flow down an inclined plane. For the circular…

Fluid Dynamics · Physics 2007-05-23 Shinya Watanabe , Vachtang Putkaradze , Tomas Bohr

This arXiv article describes the fluid dynamics video on `Gravity-driven thin-film flow with negatively buoyant particles', presented at the 64th Annual Meeting of the APS Division of Fluid Dynamics in Baltimore, MD in November 2011. The…

Fluid Dynamics · Physics 2011-10-18 A. Mavromoustaki , P. David , S. Hill , P. Latterman , W. Rosenthal , M. Mata , A. L. Bertozzi

Gravity currents are a ubiquitous density driven flow occurring in both the natural environment and in industry. They include: seafloor turbidity currents, primary vectors of sediment, nutrient and pollutant transport; cold fronts; and…

Fluid Dynamics · Physics 2025-02-28 Edward W. G. Skevington , Robert M. Dorrell

We perform three-dimensional hydrodynamic simulations of two idealized regimes of stellar convection: a cooling-driven model (Model C) and an entropy-gradient-driven model (Model S). The two regimes exhibit striking contrasts: while Model S…

Solar and Stellar Astrophysics · Physics 2025-11-18 Youhei Masada , Tomoya Takiwaki , Nobumitsu Yoko

A simple model for simulating flows of active suspensions is investigated. The approach is based on dissipative particle dynamics. While the model is potentially applicable to a wide range of self-propelled particle systems, the specific…

Fluid Dynamics · Physics 2015-10-08 Denis F. Hinz , Alexander Panchenko , Tae-Yeon Kim , Eliot Fried

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in…

Analysis of PDEs · Mathematics 2011-04-01 Helmut Abels

We study the particle-scale dynamics that give rise to bulk flow behaviours of highly concentrated particle-fluid mixtures using discrete element method (DEM) simulations. We utilize boundary conditions of a stress-controlled shear cell and…

Soft Condensed Matter · Physics 2025-09-26 Teng Man , Herbert Huppert , Qingfeng Feng , Kimberly Hill

A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the probability…

Statistical Mechanics · Physics 2018-11-26 V. Sposini , A. V. Chechkin , F. Seno , G. Pagnini , R. Metzler

A mode-coupling theory for the slow single-particle dynamics in fluids adsorbed in disordered porous media is derived, which complements previous work on the collective dynamics [V. Krakoviack, Phys. Rev. E 75, 031503 (2007)]. Its…

Disordered Systems and Neural Networks · Physics 2009-06-10 V. Krakoviack

We consider a colony of point-like self-propelled surfactant particles (swimmers) without direct interactions that cover a thin liquid layer on a solid support. Although the particles predominantly swim normal to the free film surface,…

Soft Condensed Matter · Physics 2018-07-24 Andrey Pototsky , Uwe Thiele , Holger Stark

Rheological properties of dense flows of hard particles are singular as one approaches the jamming threshold where flow ceases, both for aerial granular flows dominated by inertia, and for over-damped suspensions. Concomitantly, the…

Soft Condensed Matter · Physics 2015-06-17 E. DeGiuli , G. Düring , E. Lerner , M. Wyart