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Longitudinal dispersion coefficient: effects of particle-size distribution
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.
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
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2013 (English)In: Transport in Porous Media, ISSN 0169-3913, E-ISSN 1573-1634, Vol. 99, no 1, p. 1-16Article in journal (Refereed) Published
Abstract [en]

The effects of particle-size distribution on the longitudinal dispersion coefficient (DL) in packed beds of spherical particles are studied by simulating a tracer column experiment. The packed-bed models consist of uniform and different-sized spherical particles with a ratio of maximum to minimum particle diameter in the range of 1–4. The modified version of Euclidian Voronoi diagrams is used to discretize the system of particles into cells that each contains one sphere. The local flow distribution is derived with the use of Laurent series. The flow pattern at low particle Reynolds number is then obtained by minimization of dissipation rate of energy for the dual stream function. The value of DL is obtained by comparing the effluent curve from large discrete systems of spherical particles to the solution of the one-dimensional advection-dispersion equation. Main results are that at Peclet numbers above 1, increasing the width of the particle-size distribution increases the values of DL in the packed bed. At Peclet numbers below 1, increasing the width of the particle-size distribution slightly lowers DL.

Place, publisher, year, edition, pages
2013. Vol. 99, no 1, p. 1-16
National Category
Fluid Mechanics and Acoustics Water Engineering
Research subject
Fluid Mechanics; Urban Water Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-14471DOI: 10.1007/s11242-013-0159-5ISI: 000321661600001Scopus ID: 2-s2.0-84877642038Local ID: dd5b2cce-0d86-4315-9804-903adf1ee0a2OAI: oai:DiVA.org:ltu-14471DiVA, id: diva2:987444
Note
Validerad; 2013; 20130410 (amijou)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. StaffanHerrmann, IngaHedström, Annelie

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Jourak, AmirFrishfelds, VilnisHellström, J. Gunnar I.Lundström, T. StaffanHerrmann, IngaHedström, Annelie
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Fluid and Experimental MechanicsDepartment of Engineering Sciences and MathematicsArchitecture and Water
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Transport in Porous Media
Fluid Mechanics and AcousticsWater Engineering

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