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Shear flow is known to induce huge density fluctuations in otherwise clear and uniform polymer solutions. This effect is rooted in the elasticity of the entangled polymer network, and can span distances over a thousand chains wide. It has…

计算物理 · 物理学 2018-08-21 Airidas Korolkovas

We study the dynamics of the two dimensional Navier-Stokes equations linearized around a shear flow on a (non-square) torus which possesses exactly two non-degenerate critical points. We obtain linear inviscid damping and vorticity…

偏微分方程分析 · 数学 2024-04-30 Rajendra Beekie , Shan Chen , Hao Jia

We consider a nonlinear, moving boundary, fluid-structure interaction problem between a time dependent incompressible, viscous fluid flow, and an elastic structure composed of a cylindrical shell supported by a mesh of elastic rods. The…

偏微分方程分析 · 数学 2020-02-17 Sunčica Čanić , Marija Galić , Boris Muha

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show that its asymptotic behavior, when the distance between the two surfaces tends to zero, is the same as that of the the Navier-Stokes…

偏微分方程分析 · 数学 2022-06-09 José M. Rodríguez , Raquel Taboada-Vázquez

It is known that a finite-size homogeneous granular fluid develops an hydrodynamic-like instability when dissipation crosses a threshold value. This instability is analyzed in terms of modified hydrodynamic equations: first, a source term…

统计力学 · 物理学 2009-10-31 R. Soto , M. Mareschal , M. Malek Mansour

Steady simple shear flow of a low-density binary mixture of inelastic smooth hard spheres is studied in the context of the Boltzmann equation. This equation is solved by using two different and complementary approaches: a Sonine polynomial…

软凝聚态物质 · 物理学 2009-11-07 J. M. Montanero , V. Garzo

The velocity and friction properties of laminar pipe flow of a viscoelastic solution are bounded by the corresponding values for two Newtonian fluids, namely, the solvent and a fluid with a viscosity identical to the total viscosity of the…

流体动力学 · 物理学 2022-09-28 M Malik , Roland Bouffanais , Martin Skote

Dufty, Lee, Lutsko, Montanero, and Santos have carried out stability analyses of steady stationary shear flows. Their approach is based on the compressible and heat conducting Navier-Stokes-Fourier model. It predicts the unstable…

统计力学 · 物理学 2012-03-27 Wm. G. Hoover , Carol G. Hoover

Thermal motions in the 2D Lennard-Jones liquid near solidification are studied at equilibrium and under shear flow conditions. At the temperatures of the study, the liquid is significantly aggregated. On times of few to few tens of…

介观与纳米尺度物理 · 物理学 2017-03-03 Alexander Z. Patashinski , Rafal Orlik , Mark A. Ratner

The nonequilibrium dynamics of a binary Lennard-Jones mixture in a simple shear flow is investigated by means of molecular dynamics simulations. The range of temperature investigated covers both the liquid, supercooled and glassy states,…

软凝聚态物质 · 物理学 2009-11-07 Ludovic Berthier , Jean-Louis Barrat

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

流体动力学 · 物理学 2021-12-20 Danny Groves , Nikos Savva

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

流体动力学 · 物理学 2011-11-02 Youngdon Kwon

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a contact line. This is a main challenge in numerical simulations of two-phase flows with moving contact lines. We derive a two-dimensional…

流体动力学 · 物理学 2019-05-23 Hanna Holmgren , Gunilla Kreiss

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

统计力学 · 物理学 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

Using a minimal hydrodynamic model, we theoretically and computationally study active gels in straight and annular two-dimensional channels subject to an externally imposed shear. The gels are isotropic in the absence of externally- or…

软凝聚态物质 · 物理学 2023-07-25 Wan Luo , Aparna Baskaran , Robert A. Pelcovits , Thomas R. Powers

In the vicinity of their glass transition, dense colloidal suspensions acquire elastic properties over experimental timescales. We investigate the possibility of a visco-elastic flow instability in curved geometry for such materials. To…

软凝聚态物质 · 物理学 2015-08-21 Alexandre Nicolas , Matthias Fuchs

In [Lacave, IHP, ana, to appear (2008)] the author considered the two dimensional Euler equations in the exterior of a thin obstacle shrinking to a curve and determined the limit velocity. In the present work, we consider the same problem…

偏微分方程分析 · 数学 2009-02-13 Christophe Lacave

A shear flow of particles in a laser-driven two-dimensional (2D) dusty plasma are observed in a further study of viscous heating and thermal conduction. Video imaging and particle tracking yields particle velocity data, which we convert…

等离子体物理 · 物理学 2015-06-11 Yan Feng , J. Goree , Bin Liu

Microscopic dynamics reveal the origin of the bulk rheological response in complex fluids. In model systems particle motion can be tracked, but for industrially relevant samples this is often impossible. Here we adapt differential dynamic…

软凝聚态物质 · 物理学 2022-02-23 James A. Richards , Vincent A. Martinez , Jochen Arlt

We provide a first-principles derivation of the Langevin equation with shear flow and its corresponding fluctuation-dissipation theorems. Shear flow of simple fluids has been widely investigated by numerical simulations. Most studies…

软凝聚态物质 · 物理学 2023-06-12 Sara Pelargonio , Alessio Zaccone