A new pseudo-continuous model for the fluid flow in packed beds

Eisfeld, Bernhard; Schnitzlein, Klaus

doi:10.1016/j.ces.2005.02.047

Cited by 27 publications

(17 citation statements)

References 51 publications

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“…Lao et al replace the pore system with a network of pipes and junctions and then calculate the flow in the tubes with the Poiseuille equation [3]. Eisfeld et al propose a pseudo-continuous model for statistically described domain geometries, where the solid/liquid interaction is represented by a coupling term in the Navier-Stokes equation [4]. Solving the Navier-Stokes equation for the complicated geometries of porous filter cakes is very time-consuming for large numbers of particles [5].…”

Section: Introductionmentioning

confidence: 99%

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Agglomeration and filtration of colloidal suspensions with DVLO interactions in simulation and experiment

Schäfer

Hecht

Harting

et al. 2010

Journal of Colloid and Interface Science

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Cake filtration is a widely used solid-liquid separation process. However, the high flow resistance of the nanoporous filter cake lowers the efficiency of the process significantly. The structure and thus the permeability of the filter cakes depend on the compressive load acting on the particles, the particles size, and the agglomeration of the particles. The latter is determined by the particle charge and the ionic strength of the suspension, as described by the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory. In this paper, we propose a combined stochastic rotation dynamics (SRD) and molecular dynamics (MD) methodology to simulate the cake formation. The simulations give further insight into the dependency of the filter cakes' structure on the agglomeration of the particles, which cannot be accessed experimentally. The permeability, as investigated with lattice Boltzmann (LB) simulations of flow through the discretized cake, depends on the particle size and porosity, and thus on the agglomeration of the particles. Our results agree qualitatively with experimental data obtained from colloidal boehmite suspensions.

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Section: Introductionmentioning

confidence: 99%

“…Some simulations are based on Darcy's law and phenomenological equations for the local porosity and local permeability of the filter cake [1][2][3][4]. Kim et al consider the aggregates as solid cores with porous shells and determine the filter cake's permeability with Stokes' equation and Brinkman's extension of Darcy's law [1,2].…”

Section: Introductionmentioning

confidence: 99%

Agglomeration and filtration of colloidal suspensions with DVLO interactions in simulation and experiment

Schäfer

Hecht

Harting

et al. 2010

Journal of Colloid and Interface Science

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“…This potential for change is particularly relevant as in recent years modelling techniques using computational fluid dynamic calculations (Logtenberg et al, 1999;Jiang et al, 2000Jiang et al, , 2001Maier et al, 2000;Krischke 2001;Zeiser et al, 2001;Eisfeld and Schnitzlein, 2005;Sullivan et al, 2005;Dixon et al, 2006;Hlushkou et al, 2007) have progressed to the stage that they now have the ability to become a valuable tool in the field of research and design for many scientific and engineering disciplines, including catalyst packed columns.…”

Section: Introductionmentioning

confidence: 99%

Digital predictions of complex cylinder packed columns

Caulkin

Ahmad

Fairweather

et al. 2009

Computers & Chemical Engineering

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A digital computational approach has been developed to simulate realistic structures of packed beds. The underlying principle of the method is digitisation of the particles and packing space, enabling the generation of realistic structures. Previous publications (Caulkin et al., 2006(Caulkin et al., , 2007 have demonstrated the ability of the code in predicting the packing of spheres. For cylindrical particles, however, the original, random walk-based code proved less effective at predicting bed structure. In response to this, the algorithm has been modified to make use of collisions to guide particle movement in a way which does not sacrifice the advantage of simulation speed. Results of both the original and modified code are presented, with bulk and local voidage values compared with data derived by experimental methods. The results demonstrate that collisions and their impact on packing structure cannot be disregarded if realistic packing structures are to be obtained.

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“…There is overwhelming evidence that the radial profile of axial velocity and thus the flow rate fluctuates in porous media. For no‐slip laminar flow, the flow rate function F is zero at all radial locations where the mobile phase comes in contact with the solid phase.…”

Section: Application Of Factorization Theorem To Porous Mediamentioning

confidence: 99%

Low Reynolds number isotope transient kinetic modeling in isothermal differential tubular catalytic reactors

Otarod

Supkowski

2017

AIChE Journal

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A novel method is presented for modeling steady state isotope transient kinetics of heterogeneous catalytic reactions when the flow regime is laminar and conversion is differential. It is based on a factorization theorem which is deduced from the observation that transport functions fluctuate radially in porous beds. Factorization separates the radial from axial and temporal coordinates of the flow rate and concentration functions. It is shown that in transient tracing with a differential conversion, the radial components of the transport functions in the material conservation equations can be integrated into constant parameters to be determined from experimental data. The method is in particular useful as the knowledge of the radial profile of velocity and other transport functions and parameters are not prerequisites for data correlation. The methodology was successfully applied to the adsorption of carbon monoxide in Boudouard reaction on an alumina supported palladium catalyst. © 2017 American Institute of Chemical Engineers AIChE J, 64: 1317–1329, 2018

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A new pseudo-continuous model for the fluid flow in packed beds

Cited by 27 publications

References 51 publications

Agglomeration and filtration of colloidal suspensions with DVLO interactions in simulation and experiment

Agglomeration and filtration of colloidal suspensions with DVLO interactions in simulation and experiment

Digital predictions of complex cylinder packed columns

Low Reynolds number isotope transient kinetic modeling in isothermal differential tubular catalytic reactors

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