Abstract
Inclusion of short-range particle–particle interactions for increased numerical stability in a lattice-Boltzmann code for particle-fluid suspensions, and handling of the particle phase for an effective implementation of the code for parallel computing, are discussed and formulated. In order to better understand the origin of the shear-thickening behavior observed in real suspensions, two simplified cases are considered with the code thus developed. A chain-like cluster of suspended particles is shown to increase the momentum transfer in a shear flow between channel walls, and thereby the effective viscosity of the suspension in comparison with random configurations of particles. A single suspended particle is also shown to increase the effective viscosity under shear flow of this simple suspension for particle Reynolds numbers above unity, due to inertial effects that change the flow configuration around the particle. These mechanisms are expected to carry over to large-scale particle-fluid suspensions.
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References
H. A. Barnes J. F. Hutton K. Walters (1989) An Introduction to Rheology Elsevier Science Publishers Amsterdam
N.-Q. Nguyen A.J. C. Ladd (2004) ArticleTitleMicrostructure in a settling suspension of hard spheres Phys. Rev. E 69 050401 Occurrence Handle10.1103/PhysRevE.69.050401 Occurrence Handle2004PhRvE..69e0401N
S. Chen G. D. Doolen (1998) ArticleTitleLattice Boltzmann method for fluid flows Annu. Rev. Fluid Mech. 30 329–364 Occurrence Handle10.1146/annurev.fluid.30.1.329 Occurrence Handle1998AnRFM..30..329C Occurrence Handle98m:76118
Y.H. Qian D. d’Humières P. Lallemand (1992) ArticleTitleLattice BGK models for Navier–Stokes equation Europhys. Lett. 17 479–484 Occurrence Handle1992EL.....17..479Q
A. J. C. Ladd, Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation, J. Fluid Mech. 271:285–310 (1994); Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results, 271:311–339 (1994).
M. P. Allen D. J. Tildesley (1987) Computer Simulation of Liquids Clarendon Press Oxford
C. K. Aidun Y. Lu (1995) ArticleTitleLattice Boltzmann simulation of solid particles suspended in fluid J. Stat. Phys. 81 49–61 Occurrence Handle10.1007/BF02179967
N.-Q. Nguyen A.J. C. Ladd (2002) ArticleTitleLubrication corrections for lattice-Boltzmann simulations of particle suspensions Phys. Rev. E 66 046708 Occurrence Handle2002PhRvE..66d6708N
Ding E.-J. Aidun C. K. (2003) ArticleTitleExtension of the lattice-Boltzmann method for direct simulation of suspended particles near contact J. Stat. Phys. 112 685–708
R.C. Ball J. R. Melrose (1995) ArticleTitleLubrication breakdown in hydrodynamic simulations of concentrated colloids, Adv Colloid Interface Sci. 59 19–30
D. Kandhai A. Koponen Hoekstra A. G. M. Kataja J. Timonen P.M. A. Sloot (1998) ArticleTitleLattice-Boltzmann hydrodynamics on parallel systems Comput. Phys. Commun. 111 14–26 Occurrence Handle1998CoPhC.111...14K
T. Suviola, Parallelization of a lattice Boltzmann suspension flow solver, Proceedings of PARA 2002, June 15–18, 2002, Espoo, Finland, J. Fagerholm et al. eds., Lecture Notes in Computer Science, Vol. 2367, pp. 603–610 (2002).
G. Wolffe, J. Oleszkiewicz, D. Cherba, and D. Qi, Parallelizing solid particles in lattice-Boltzmann fluid dynamics, Proceedings of PDPTA ’02, June 24–27, 2002, Las Vegas, USA, H. R. Arabnia ed. (CSREA Press, 2002), pp. 2016–2022.
M.I. Krieger T. J. Dougherty (1959) ArticleTitleA mechanism for non-Newtonian flow in suspensions of rigid spheres Trans. Soc. Rheol. 3 137–152 Occurrence Handle10.1122/1.548848
A. Shakib-Manesh P. Raiskinmäki A. Koponen M. Kataja J. Timonen (2002) ArticleTitleShear stress in a Couette flow of liquid-particle suspensions J. Stat. Phys. 107 67–84 Occurrence Handle10.1023/A:1014598201975
P. Raiskinmäki J. A. Åström M. Kataja M. Latva-Kokko A. Koponen A. Jäsberg A. Shakib-Manesh J. Timonen (2003) ArticleTitleClustering and viscosity in a shear flow of a particulate suspension Phys. Rev. E 68 061403 Occurrence Handle2003PhRvE..68f1403R
N.A. Patankar H. H. Hu (2002) ArticleTitleFinite Reynolds number effect on the rheology of a dilute suspension of neutrally buoyant circular particles in a Newtonian fluid Int. J. Multiphase Flow 28 409–425
P. Raiskinmäki, Dynamics of multiphase flows: liquid-particle suspensions and droplet spreading, PhD Thesis University of Jyväskylä, (2004).
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Hyväluoma, J., Raiskinmäki, P., Koponen, A. et al. Lattice-Boltzmann Simulation of Particle Suspensions in Shear Flow. J Stat Phys 121, 149–161 (2005). https://doi.org/10.1007/s10955-005-4314-4
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DOI: https://doi.org/10.1007/s10955-005-4314-4