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Lattice Boltzmann simulations of droplet dynamics in time-dependent flows

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Abstract.

We study the deformation and dynamics of droplets in time-dependent flows using 3D numerical simulations of two immiscible fluids based on the lattice Boltzmann model (LBM). Analytical models are available in the literature, which assume the droplet shape to be an ellipsoid at all times (P.L. Maffettone, M. Minale, J. Non-Newton. Fluid Mech 78, 227 (1998); M. Minale, Rheol. Acta 47, 667 (2008)). Beyond the practical importance of using a mesoscale simulation to assess “ab initio” the robustness and limitations of such theoretical models, our simulations are also key to discuss --in controlled situations-- some relevant phenomenology related to the interplay between the flow time scales and the droplet time scales regarding the “transparency” transition for high enough shear frequencies for an external oscillating flow. This work may be regarded as a step forward to discuss extensions towards a novel DNS approach, describing the mesoscale physics of small droplets subjected to a generic hydrodynamical strain field, possibly mimicking the effect of a realistic turbulent flow on dilute droplet suspensions.

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Authors and Affiliations

  1. Department of Physics and INFN, University of “Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy

    F. Milan, M. Sbragaglia & L. Biferale

  2. Department of Applied Physics, Eindhoven University of Technology, 5600 MB, Eindhoven, The Netherlands

    F. Milan & F. Toschi

  3. Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB, Eindhoven, The Netherlands

    F. Toschi

  4. CNR-IAC, I-00185, Rome, Italy

    F. Toschi

Authors
  1. F. Milan
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  2. M. Sbragaglia
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  3. L. Biferale
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  4. F. Toschi
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Correspondence to F. Milan.

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Milan, F., Sbragaglia, M., Biferale, L. et al. Lattice Boltzmann simulations of droplet dynamics in time-dependent flows. Eur. Phys. J. E 41, 6 (2018). https://doi.org/10.1140/epje/i2018-11613-0

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  • DOI: https://doi.org/10.1140/epje/i2018-11613-0

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