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Numerical derivation of dispersion coefficients for flow through three-dimensional randomly packed beds of monodisperse spheres
Luleå University of Technology, Department of Engineering Sciences and Mathematics.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-8360-9051
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-1033-0244
2014 (English)In: AIChE Journal, ISSN 0001-1541, E-ISSN 1547-5905, Vol. 60, no 2, p. 749-761Article in journal (Refereed) Published
Abstract [en]

The longitudinal (DL) and transverse (DT) dispersion coefficients for flow through randomly packed beds of discrete monosized spherical particles are studied. The three-dimensional (3-D) porous-medium model consists of thousands of spherical particles that are divided into cells using Voronoi diagrams. The relationship between the variation of the dual stream function and the vorticity between neighboring particles is derived using Laurent series. The whole flow pattern at low particle Reynolds number is then obtained by minimization of the dissipation rate of energy with respect to the dual stream function. The DL is obtained by fitting the resulting effluent curve to a 1-D solution of a continuous model. The DT is obtained by fitting the numerical concentration profile to an approximate 2-D solution. The derived DL and DT values are in agreement with 3-D experimental data from the literature enabling a study of the effects of pore structure and porosity on DL and DT.

Place, publisher, year, edition, pages
2014. Vol. 60, no 2, p. 749-761
National Category
Fluid Mechanics and Acoustics
Research subject
Fluid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-4371DOI: 10.1002/aic.14284ISI: 000329484200030Scopus ID: 2-s2.0-84892445978Local ID: 25049d43-29e3-4452-9cad-57eafebe902eOAI: oai:DiVA.org:ltu-4371DiVA, id: diva2:977236
Note
Validerad; 2014; 20131031 (gunhel)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Jourak, AmirFrishfelds, VilnisHellström, J. Gunnar I.Lundström, T. Staffan

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