Transport in Porous Media

, Volume 99, Issue 1, pp 1–16

Longitudinal Dispersion Coefficient: Effects of Particle-Size Distribution

Authors

    • Division of Fluid and Experimental MechanicsLuleå University of Technology
  • Vilnis Frishfelds
    • Liepaja University
  • J. Gunnar I. Hellström
    • Division of Fluid and Experimental MechanicsLuleå University of Technology
  • T. Staffan Lundström
    • Division of Fluid and Experimental MechanicsLuleå University of Technology
  • Inga Herrmann
    • Department of Civil, Environmental and Natural Resources EngineeringLuleå University of Technology
  • Annelie Hedström
    • Department of Civil, Environmental and Natural Resources EngineeringLuleå University of Technology
Article

DOI: 10.1007/s11242-013-0159-5

Cite this article as:
Jourak, A., Frishfelds, V., Hellström, J.G.I. et al. Transp Porous Med (2013) 99: 1. doi:10.1007/s11242-013-0159-5

Abstract

The effects of particle-size distribution on the longitudinal dispersion coefficient (\(D_{\mathrm{L}})\) 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 \(D_{\mathrm{L}}\) 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 \(D_{\mathrm{L}}\) in the packed bed. At Peclet numbers below 1, increasing the width of the particle-size distribution slightly lowers \(D_{\mathrm{L}}\).

Keywords

Longitudinal dispersion coefficientPacked bedsParticle-size distributionEuclidian Voronoi diagramsMass transfer

Copyright information

© Springer Science+Business Media Dordrecht 2013