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Lattice–Boltzmann simulations of dynamic interfacial tension due to soluble amphiphilic surfactant

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  • Skartlien, R.
  • Furtado, K.
  • Sollum, E.
  • Meakin, P.
  • Kralova, I.

Abstract

An amphiphilic Lattice–Boltzmann approach is adopted to model dynamic interfacial tension due to non-ionic surfactant. In the current system, the surfactant adsorption kinetics is diffusion dominated and the interface separates two immiscible fluids. A rotational relaxation time and a diffusive/viscous relaxation time are associated with the surfactant. The model results are compared with experimental data for the dynamic interfacial tension of a pendant oil droplet in water, with oil soluble surfactant. We demonstrate how to adapt and calibrate the model to capture the adsorption timescale of the surfactant and the magnitude of interfacial tension reduction due to surfactant. A scheme to overcome numerical instabilities due to the relatively low surfactant concentration, is devised. We are able to qualitatively match the Frumkin equation of state for the interfacial tension.

Suggested Citation

  • Skartlien, R. & Furtado, K. & Sollum, E. & Meakin, P. & Kralova, I., 2011. "Lattice–Boltzmann simulations of dynamic interfacial tension due to soluble amphiphilic surfactant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2291-2302.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:12:p:2291-2302
    DOI: 10.1016/j.physa.2011.02.022
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    References listed on IDEAS

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    1. Yeomans, J.M., 2006. "Mesoscale simulations: Lattice Boltzmann and particle algorithms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(1), pages 159-184.
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    Cited by:

    1. Almeida, Alexandre B. & Buldyrev, Sergey V. & Alencar, Adriano M., 2013. "Crackling sound generation during the formation of liquid bridges: A lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3409-3416.

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