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We consider a sedimenting suspension in a Stokes flow, in the presence of a vertical wall. We study the effect of a particle-depleted fluid layer near the wall on the bulk dynamics of the suspension. We show that this effect can be captured…

偏微分方程分析 · 数学 2024-04-09 David Gérard-Varet , Amina Mecherbet

We discuss a minimal generalization of the incompressible Navier-Stokes equations to describe the solvent flow in an active suspension. To account phenomenologically for the presence of an active component driving the ambient fluid flow, we…

软凝聚态物质 · 物理学 2015-04-10 Jonasz Słomka , Jörn Dunkel

Dense suspensions of particles are relevant to many applications and are a key platform for developing a fundamental physics of out-of-equilibrium systems. They present challenging flow properties, apparently turning from liquid to solid…

软凝聚态物质 · 物理学 2022-03-22 Christopher Ness , Ryohei Seto , Romain Mari

We show a case of steady flow in a granular gas that, for small shear rates, is accurately described by Navier-Stokes hydrodynamics, even for high inelasticity. The (low density) granular gas is composed of identical inelastic spheres and…

软凝聚态物质 · 物理学 2013-10-15 Francisco Vega Reyes

The influence of turbulent effects on a fluid flow through a (pseudo) porous media is studied by numerically solving the set of Reynolds-averaged Navier-Stokes equations with the $\kappa$-$\epsilon$ model for turbulence. The spatial domains…

统计力学 · 物理学 2009-11-07 H. H. M. Vasconcelos , U. M. S. Costa , M. P. Almeida

We suggested a one-fluid model of a turbulent dilute suspension which accounts for the ``two-way'' fluid-particle interactions by $k$-dependent effective density of suspension and additional damping term in the Navier-Stokes equation. We…

混沌动力学 · 物理学 2007-05-23 Victor S. L'vov , Anna Pomyalov

In this visualisation the instantaneous local velocity is expressed in terms of four components to capture the development of and interactions between coherent structures in turbulent flows. It is then possible to isolate the terms linked…

流体动力学 · 物理学 2009-10-13 Trinh Khanh Tuoc

We present a phenomenological model for granular suspension rheology in which particle interactions enter as constraints to relative particle motion. By considering constraints that are formed and released by stress respectively, we derive…

软凝聚态物质 · 物理学 2018-09-26 B. M. Guy , J. A. Richards , D. J. M. Hodgson , E. Blanco , W. C. K. Poon

The subject of this work is the instability mechanism of simple shear flows, like Hagen-Poiseuille pipe flow, which is a long-standing problem in fluid mechanics [1,2]. A possible analogy with phenomenological theory of ideal plasticity in…

流体动力学 · 物理学 2007-05-23 Sergey Ananiev

In order to address the difficulties of classical fluid kinematics in describing vorticity and the paradox of linear correlation between viscous force and vorticity in the Navier-Stokes equations, the study examines the inherent…

经典物理 · 物理学 2024-08-08 Peng Shi

Recent progresses in understanding the behavior of dense granular flows are presented. After presenting a bulk rheology of granular materials, I focus on the new developments to account for non-local effects, and on ongoing research…

软凝聚态物质 · 物理学 2015-03-19 Pierre Jop

We propose a one-fluid analytical model for a turbulently flowing dilute suspension, based on modified Navier-Stokes equation with a $k$-dependent effective density of suspension, $\rho_ {eff}(k)$, and an additional damping term $\propto…

混沌动力学 · 物理学 2007-05-23 Victor S. L'vov , Gijs Ooms , Anna Pomyalov

Exploring the possibility of describing a fluid flow via a time-reversible equation and its relevance for the fluctuations statistics in stationary turbulent (or laminar) incompressible Navier-Stokes flows.

流体动力学 · 物理学 2019-07-08 Giovanni Gallavotti

A freely falling stream of weakly cohesive granular particles is modeled and analysed with help of event driven simulations and continuum hydrodynamics. The former show a breakup of the stream into droplets, whose size is measured as a…

软凝聚态物质 · 物理学 2015-06-04 Stephan Ulrich , Annette Zippelius

The general concern of this paper is the effect of rough boundaries on fluids. We consider a stationary flow, governed by incompressible Navier-Stokes equations, in an infinite domain bounded by two horizontal rough plates. The roughness is…

偏微分方程分析 · 数学 2007-05-23 Arnaud Basson , David Gerard-Varet

Dry, wet, dense, and dilute granular flows have been previously considered fundamentally different and thus described by distinct, and in many cases incompatible, rheologies. We carry out extensive simulations of granular flows, including…

软凝聚态物质 · 物理学 2019-09-17 Thomas Pähtz , Orencio Durán , David N. de Klerk , Indresan Govender , Martin Trulsson

We derive analytical expressions for the flow of Newtonian and power law fluids in elastic circularly-symmetric tubes based on a lubrication approximation where the flow velocity profile at each cross section is assumed to have its…

流体动力学 · 物理学 2014-10-13 Taha Sochi

The {\em hydrodynamic} approach to a continuum mechanical description of granular behavior is reviewed and elucidated. By considering energy and momentum conservation simultaneously, the general formalism of {\em hydrodynamics} provides a…

软凝聚态物质 · 物理学 2012-06-14 Yimin Jiang , Mario Liu

We have performed a systematic, large-scale simulation study of granular media in two- and three-dimensions, investigating the rheology of cohesionless granular particles in inclined plane geometries, i.e., chute flows. We find that over a…

统计力学 · 物理学 2009-11-07 L. E. Silbert , D. Ertas , G. S. Grest , T. C. Halsey , D. Levine , S. J. Plimpton

We consider the modified Navier-Stokes equations in R3 describing the motion of a fluid in the presence of a rotating rigid body. Weighted Sobolev spaces are used to describe the behavior of solutions at large distances. Under suitable…

偏微分方程分析 · 数学 2026-01-09 Tahar Zamène Boulmezaoud , Nabil Kerdid , Amel Kourta
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