Hydrodynamical forces acting on particles in a two-dimensional flow near a solid wall

A. Jäsberg, A. Koponen, M. Kataja, J. Timonen

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)

Abstract

The hydrodynamical forces acting on a single particle and on a random rigid array of particles suspended in a two-dimensional shear flow of Newtonian fluid near a rigid wall were studied numerically in the flow regime where the relevant Reynolds numbers are of the order of unity. The simulations were done with conventional finite volume method for single-particle cases and with lattice-Boltzmann method for many-particle cases. A set of comparison cases was solved with both methods in order to check the accuracy of the lattice-Boltzmann method. For the single-particle case analytic formulae for the longitudinal drag force and for the transverse lift force were found. A modification to Darcy's law is proposed which takes into account the increase of the drag force near a moving wall. In the flow conditions studied here, the lift force acting on the particle array was found to be repulsive close to the wall, but becomes weakly attractive as the distance from the wall is increased.
Original languageUndefined
Pages (from-to)196-206
JournalComputer Physics Communications
Volume129
Issue number1
DOIs
Publication statusPublished - 2000
MoE publication typeA1 Journal article-refereed

Cite this

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Hydrodynamical forces acting on particles in a two-dimensional flow near a solid wall. / Jäsberg, A.; Koponen, A.; Kataja, M.; Timonen, J.

In: Computer Physics Communications, Vol. 129, No. 1, 2000, p. 196-206.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Hydrodynamical forces acting on particles in a two-dimensional flow near a solid wall

AU - Jäsberg, A.

AU - Koponen, A.

AU - Kataja, M.

AU - Timonen, J.

PY - 2000

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AB - The hydrodynamical forces acting on a single particle and on a random rigid array of particles suspended in a two-dimensional shear flow of Newtonian fluid near a rigid wall were studied numerically in the flow regime where the relevant Reynolds numbers are of the order of unity. The simulations were done with conventional finite volume method for single-particle cases and with lattice-Boltzmann method for many-particle cases. A set of comparison cases was solved with both methods in order to check the accuracy of the lattice-Boltzmann method. For the single-particle case analytic formulae for the longitudinal drag force and for the transverse lift force were found. A modification to Darcy's law is proposed which takes into account the increase of the drag force near a moving wall. In the flow conditions studied here, the lift force acting on the particle array was found to be repulsive close to the wall, but becomes weakly attractive as the distance from the wall is increased.

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