Hostname: page-component-76fb5796d-zzh7m Total loading time: 0 Render date: 2024-04-26T08:11:56.738Z Has data issue: false hasContentIssue false

Droplet Collision Simulation by a Multi-Speed Lattice Boltzmann Method

Published online by Cambridge University Press:  20 August 2015

Daniel Lycett-Brown*
Affiliation:
Energy Technology Group, School of Engineering Sciences, University of Southampton, SO17 1BJ, UK
Ilya Karlin*
Affiliation:
Energy Technology Group, School of Engineering Sciences, University of Southampton, SO17 1BJ, UK Aerothermochemistry and Combustion Systems Lab, ETH Zurich, 8092 Zurich, Switzerland
Kai H. Luo*
Affiliation:
Energy Technology Group, School of Engineering Sciences, University of Southampton, SO17 1BJ, UK
*
Get access

Abstract

Realization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices. The present multiphase lattice Boltzmann model is used in two-dimensional simulation of droplet collisions at high Weber numbers. Results are found to be in a good agreement with experimental findings.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Shan, X., and Chen, H., Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E., 47 (1993), 1815–1819.CrossRefGoogle ScholarPubMed
[2]Yuan, P., and Schaefer, L., Equations of state in a lattice Boltzmann model, Phys. Fluids., 18 (2006), 042101.Google Scholar
[3]Sbragaglia, M., Benzi, R., Biferale, L., Succi, S., Sugiyama, K., and Toschi, F., Generalized lattice Boltzmann method with multirange pseudopotential, Phys. Rev. E., 75 (2007), 026702.CrossRefGoogle ScholarPubMed
[4]Chikatamarla, S. S., and Karlin, I. V., Entropy and Galilean invariance of lattice Boltzmann theories, Phys. Rev. Lett., 9 (2006), 190601.Google Scholar
[5]Chikatamarla, S. S., and Karlin, I. V., Lattices for the lattice Boltzmann method, Phys. Rev. E., 79 (2009), 046701.CrossRefGoogle ScholarPubMed
[6]He, X., and Luo, L.-S., Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation, Phys. Rev. E., 56 (1997), 6811–6817.Google Scholar
[7]Ashgriz, N., and Poo, J. Y., Coalescence and separation in binary collisions of liquid drops, J. Fluid. Mech., 221 (1990), 183–204.CrossRefGoogle Scholar
[8]Brazier-Smith, P. R., Jennings, S. G., and Latham, J., The interaction of falling water drops: coalescence, Proc. R. Soc. London. A., 326 (1972), 393–408.Google Scholar
[9]Qian, J., and Law, C. K., Regimes of coalescence and separation in droplet collision, J. Fluid. Mech., 331 (1997), 59–80.CrossRefGoogle Scholar
[10]Inamuro, T., Ogata, T., Tajima, S., and Konishi, N., A lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Comput. Phys., 198 (2004), 628–644.CrossRefGoogle Scholar
[11]Chorin, A. J., Numerical solution of the Navier-Stokes equations, Math. Comput., 22 (1968), 745–762.Google Scholar
[12]Luo, K. H., Xia, J., and Monaco, E., Multiscale modelling of multiphase flow with complex interactions, J. Multiscale. Model., 1 (2009), 125–156.Google Scholar
[13]Frisch, U., D. d’Humires, Hasslacher, B., Lallemand, P., Pomeau, Y., and Rivet, J.-P., Lattice gas hydrodynamics in two and three dimensions, Complex. Syst., 1 (1987), 649–707.Google Scholar
[14]Gunstensen, A. K., Rothman, D. H., Zaleski, S., and Zanetti, G., Lattice Boltzmann model of immiscibel fluids, Phys. Rev. A., 43 (1991), 4320–4307.Google Scholar
[15]Shan, X., Analysis and reduction of the spurious current in a class of multiphase lattice Boltz-mann models, Phys. Rev. E., 73 (2006), 047701.Google Scholar
[16]Asinari, P., and Karlin, I., Generalized Maxwell state and H-theorem for computing fluid flows using the lattice Boltzmann method, Phys. Rev. E., 79 (2009), 036703.CrossRefGoogle ScholarPubMed
[17]Carnahan, N. F., and Starling, K. E., Equation of state for nonattracting rigid spheres, J. Chem. Phys., 51 (1969), 635–636.Google Scholar
[18]Chikatamarla, S. S., Frouzakis, C. E., Karlin, I. V., Tomboulides, A. G., and Boulou, K.B.-chos, Lattice Boltzmann method for direct numerical simulation of turbulent flows, J. Fluid. Mech., 656 (2010), 298–308.CrossRefGoogle Scholar