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An Extended Pseudo Potential Multiphase Lattice Boltzmann Model with Variable Viscosity Ratio

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Recent Developments in Mathematical, Statistical and Computational Sciences (AMMCS 2019)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 343))

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Abstract

A new multiphase lattice Boltzmann method (LBM) scheme is proposed through which the viscosity of the two phases can be adjusted based on a theoretical equation of states (EOS). Moreover, any other values of the viscosity can be adjusted by the use of an extra factor of n. The proposed model is validated using two test cases: The Laplace test and the two-phase Poiseuille flow. Numerical results are compared with those of available analytical solutions. A very good agreement between these results are shown. Furthermore, a numerical simulation of a droplet splashing on a thin liquid film is conducted. Despite the standard LBM in which the viscosity of the fluid is bond to the numerical relaxation time and cannot be adjusted, the proposed model enjoys the capability of adjusting the phases’ viscosity based on their theoretical and more physically realistic values.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Isfahan University of Technology (IUT), 8415683111, Isfahan, Iran

    Mahmud Ashrafizaadeh, Farshad Gharibi & Seyyed Meysam Khatoonabadi

Authors
  1. Mahmud Ashrafizaadeh
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  2. Farshad Gharibi
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  3. Seyyed Meysam Khatoonabadi
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Corresponding author

Correspondence to Mahmud Ashrafizaadeh .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    D. Marc Kilgour

  2. Department of Mathematics and Statistics, University of Guelph, Guelph, ON, Canada

    Herb Kunze

  3. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    Roman Makarov

  4. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    Roderick Melnik

  5. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    Xu Wang

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Ashrafizaadeh, M., Gharibi, F., Khatoonabadi, S.M. (2021). An Extended Pseudo Potential Multiphase Lattice Boltzmann Model with Variable Viscosity Ratio. In: Kilgour, D.M., Kunze, H., Makarov, R., Melnik, R., Wang, X. (eds) Recent Developments in Mathematical, Statistical and Computational Sciences. AMMCS 2019. Springer Proceedings in Mathematics & Statistics, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-030-63591-6_69

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