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The mixing efficiency of a flow advecting a passive scalar sustained by steady sources and sinks is naturally defined in terms of the suppression of bulk scalar variance in the presence of stirring, relative to the variance in the absence…

流体动力学 · 物理学 2011-05-03 Tiffany A. Shaw , Jean-Luc Thiffeault , Charles R. Doering

Mixing in open incompressible flows is studied in a model problem with inhomogeneous passive scalar injection on an inlet boundary. As a measure of the efficiency of stirring, the bulk scalar concentration variance is bounded and the bound…

流体动力学 · 物理学 2015-05-18 Jean-Luc Thiffeault , Charles R. Doering

The mixing effectiveness, i.e., the enhancement of molecular diffusion, of a flow can be quantified in terms of the suppression of concentration variance of a passive scalar sustained by steady sources and sinks. The mixing enhancement…

流体动力学 · 物理学 2009-11-13 Takahide Okabe , Bruno Eckhardt , Jean-Luc Thiffeault , Charles R. Doering

The transport coefficients of dense polymeric fluids are approximately calculated from the microscopic intermolecular forces. The following finite molecular weight effects are discussed within the Polymer-Mode-Coupling theory (PMC) and…

凝聚态物理 · 物理学 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

A change of solute dispersion regime with the flow velocity has been studied both at the macroscopic and pore scales in a transparent array of capillary channels using an optical technique allowing for simultaneous local and global…

流体动力学 · 物理学 2007-05-23 Maria Veronica D'Angelo , Harold Auradou , Catherine Allain , Jean-Pierre Hulin

Incompressible flows can be effective mixers by appropriately advecting a passive tracer to produce small filamentation length scales. In addition, diffusion is generally perceived as beneficial to mixing due to its ability to homogenise a…

流体动力学 · 物理学 2018-04-20 Christopher J. Miles , Charles R. Doering

We study how varying the P \'eclet number (Pe) affects the steady state sedimentation of colloidal particles that interact through short-ranged attractions. By employing a hybrid molecular dynamics simulation method we demonstrate that the…

统计力学 · 物理学 2015-06-03 A. Moncho-Jorda' , A. A. Louis , J. T. Padding

The statistics of polymers advected by a turbulent flow are investigated. To limit the polymer lengths above to coil-stretch transition, a FENE-P type relaxation law is used. The turbulence is modeled by a random strain, delta-correlated in…

混沌动力学 · 物理学 2009-11-07 Jean-Luc Thiffeault

Multiscale mixing efficiencies for passive scalar advection are defined in terms of the suppression of variance weighted at various length scales. We consider scalars maintained by temporally steady but spatially inhomogeneous sources,…

流体动力学 · 物理学 2007-05-23 Charles R. Doering , Jean-Luc Thiffeault

The optimization of the mixing of a passive scalar at finite P\'eclet number $Pe=Uh/\kappa$ (where $U,h$ are characteristic velocity and length scales and $\kappa$ is the scalar diffusivity) is relevant to many significant flow challenges…

流体动力学 · 物理学 2022-11-23 Conor Heffernan , Colm-cille Caulfield

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,…

流体动力学 · 物理学 2024-11-07 Saif Farhat , Guillem Sole-Mari , Diogo Bolster

Mixing in fluids is a rapidly developing field of fluid mechanics \cite{Sreen,Shr,War}, being an important industrial and environmental problem. The mixing of liquids at low Reynolds numbers is usually quite weak in simple flows, and it…

混沌动力学 · 物理学 2009-11-07 Alexander Groisman , Victor Steinberg

The motion of active polymers in a porous medium is shown to depend critically on flexibilty, activity and degree of polymerization. For given Peclet number, we observe a transition from localisation to diffusion as the stiffness of the…

软凝聚态物质 · 物理学 2019-07-17 Zahra Mokhtari , Annette Zippelius

A theoretical model is developed for predicting dynamic polymer depletion effects under the influence of fluid flow. The results are established by combining the two-fluid model and the self-consistent field theory. We consider a uniform…

软凝聚态物质 · 物理学 2012-08-02 Takashi Taniguchi , Yuichiro Arai , Remco Tuinier , Tai-Hsi Fan

The mixing of an impurity into a flowing fluid is an important process in many areas of science, including geophysical processes, chemical reactors, and microfluidic devices. In some cases, for example periodic flows, the concepts of…

混沌动力学 · 物理学 2016-02-29 G. Voth , G. Haller , J. P. Gollub

In this paper we characterize the mixing properties in the advection of passive tracers by exploiting the extreme value theory for dynamical systems. With respect to classical techniques directly related to the Poincar\'e recurrences…

混沌动力学 · 物理学 2014-05-07 Davide Faranda , Xavier Leoncini , Sandro Vaienti

We theoretically and numerically investigate the instabilities driven by diffusiophoretic flow, caused by a solutal concentration gradient along a reacting surface. The important control parameter is the Peclet number Pe, which quantifies…

流体动力学 · 物理学 2021-06-09 Yibo Chen , Kai Leong Chong , Luoqin Liu , Roberto Verzicco , Detlef Lohse

The dynamics of polymer-nanoparticle (NP) mixtures, which involves multiple scales and system-specific variables, has posed a long-standing challenge on its theoretical description. In this paper, we construct a microscopic theory for…

软凝聚态物质 · 物理学 2021-06-15 Bokai Zhang , Jian Li , Juan-mei Hu , Lei Liu

Mechanical degradation of dilute solutions of polyethylene oxide (PEO) via chain scission was investigated within a turbulent pipe flow. Comparisons of the drag reduction performance with and without degradation were made by matching the…

流体动力学 · 物理学 2020-05-11 Yasaman Farsiani , Zeeshan Saeed , Brian R. Elbing

Mixing fronts, where fluids of different chemical compositions mix with each other, are typically subjected to velocity gradients, ranging from the pore scale to the catchment scale due to permeability variations and flow line geometries. A…

流体动力学 · 物理学 2016-04-28 Aditya Bandopadhyay , Tanguy Le Borgne , Yves Méheust , Marco Dentz
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