Taylor dispersion with adsorption and desorption

Levesque, Maximilien; Bénichou, Olivier; Voituriez, Raphaël; Rotenberg, Benjamin

doi:10.1103/physreve.86.036316

Cited by 30 publications

(52 citation statements)

References 25 publications

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“…The resulting Poiseuille flow induces Taylor-Aris dispersion [32,33] of the tracers with a dispersion coefficient K, which is known exactly in the presence of adsorption and desorption in the simple slit geometry [5]: (15) where P e = Lv/D b is the Péclet number and y = k a /k d L.…”

Section: -3mentioning

confidence: 99%

“…Recently, the great interest in nanofluidic devices and in the transport in heterogeneous porous media has also raised the issue of the relevance of models which do not take into account these sorption processes. Moreover, it was recently shown that stochastic resonance between these processes and some external field may be of practical importance, e.g., for molecular sorting [5,8].…”

Section: Introductionmentioning

confidence: 99%

“…At longer times, macroscale properties such as porosity and tortuosity come into play. Theoretically, stochastic approaches have been an important support to the understanding of the underlying phenomena [2][3][4] and have been used recently to show that adsorption and desorption processes may strongly modify the short and long time dynamics of the tracers [5,6].…”

Section: Introductionmentioning

confidence: 99%

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Accounting for adsorption and desorption in lattice Boltzmann simulations

et al. 2013

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We report a Lattice-Boltzmann scheme that accounts for adsorption and desorption in the calculation of mesoscale dynamical properties of tracers in media of arbitrary complexity. Lattice Boltzmann simulations made it possible to solve numerically the coupled Navier-Stokes equations of fluid dynamics and Nernst-Planck equations of electrokinetics in complex, heterogeneous media. With the moment propagation scheme, it became possible to extract the effective diffusion and dispersion coefficients of tracers, or solutes, of any charge, e.g., in porous media. Nevertheless, the dynamical properties of tracers depend on the tracer-surface affinity, which is not purely electrostatic and also includes a species-specific contribution. In order to capture this important feature, we introduce specific adsorption and desorption processes in a lattice Boltzmann scheme through a modified moment propagation algorithm, in which tracers may adsorb and desorb from surfaces through kinetic reaction rates. The method is validated on exact results for pure diffusion and diffusion-advection in Poiseuille flows in a simple geometry. We finally illustrate the importance of taking such processes into account in the time-dependent diffusion coefficient in a more complex porous medium.

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Section: -3mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Accounting for adsorption and desorption in lattice Boltzmann simulations

et al. 2013

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“…Due to their high modularity, combination of large surface area and pore volume, and enhanced permeability over materials with single pore systems, hierarchically structured porous materials are promising candidates as adsorbent for the separation of gas and liquids, as well as for ion exchange and capture. [13][14][15] We first describe the simulation algorithm used to compute our simulations: a lattice Boltzmann scheme which allows to account for adsorption. heavy metals or radioactive ions.…”

Section: Introductionmentioning

confidence: 99%

Unexpected coupling between flow and adsorption in porous media

et al. 2015

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We study the interplay between transport and adsorption in porous systems under a fluid flow, based on a lattice Boltzmann scheme extended to account for adsorption. We performed simulations on well-controlled geometries with slit and grooved pores, investigating the influence of adsorption and flow on dispersion coefficient and adsorbed density. In particular, we present a counterintuitive effect where fluid flow induces heterogeneity in the adsorbate, displacing the adsorption equilibrium towards downstream adsorption sites in grooves. We also present an improvement of the adsorption-extended lattice Boltzmann scheme by introducing the possibility for saturating Langmuir-like adsorption, while earlier work focused on linear adsorption phenomena. We then highlight the impact of this change in situations of high concentration of adsorbate.

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“…When the particle has zero velocity and diffusivity in the bound state, D is given by 5,16,20,23,28,34 …”

Section: Introductionmentioning

confidence: 99%

Aris-Taylor dispersion in tubes with dead ends

Dagdug

Berezhkovskii

Skvortsov

2014

The Journal of Chemical Physics

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This paper deals with transport of point Brownian particles in a cylindrical tube with dead ends in the presence of laminar flow of viscous fluid in the cylindrical part of the tube (Poiseuille flow). It is assumed that the dead ends are identical and are formed by spherical cavities connected to the cylindrical part of the tube by narrow necks. The focus is on the effective velocity and diffusivity of the particles as functions of the mean flow velocity and geometric parameter of the tube. Entering a dead end, the particle interrupts its propagation along the tube axis. Later it returns, and the axial motion continues. From the axial propagation point of view, the particle entry into a dead end and its successive return to the flow is equivalent to the particle reversible binding to the tube wall. The effect of reversible binding on the transport parameters has been previously studied assuming that the particle survival probability in the bound state decays as a single exponential. However, this is not the case when the particle enters a dead end, since escape from the dead end is a nonMarkovian process. Our analysis of the problem consists of two steps: First, we derive expressions for the effective transport parameters in the general case of non-Markovian binding. Second, we find the effective velocity and diffusivity by substituting into these expressions known results for the moments

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Taylor dispersion with adsorption and desorption

Cited by 30 publications

References 25 publications

Accounting for adsorption and desorption in lattice Boltzmann simulations

Accounting for adsorption and desorption in lattice Boltzmann simulations

Unexpected coupling between flow and adsorption in porous media

Aris-Taylor dispersion in tubes with dead ends

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