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Lattice Boltzmann Simulations Of Drop–Drop Interactions In Two-Phase Flows

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  • KANNAN N. PREMNATH

    (Maurice J. Zucrow Labs., School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907, USA)

  • JOHN ABRAHAM

    (Maurice J. Zucrow Labs., School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907, USA)

Abstract

In this paper, three-dimensional computations of drop–drop interactions using the lattice Boltzmann method (LBM) are reported. The LBM multiphase flow model employed is evaluated for single drop problems and binary drop interactions. These include the verification of Laplace–Young relation for static drops, drop oscillations, and drop deformation and breakup in simple shear flow. The results are compared with experimental data, analytical solutions and numerical solutions based on other computational methods, as applicable. Satisfactory agreement is shown. Initial studies of drop–drop interactions involving the head-on collisions of drops in quiescent medium and off-center collision of drops in the presence of ambient shear flow are considered. As expected, coalescence outcome is observed for the range of parameters studied.

Suggested Citation

  • Kannan N. Premnath & John Abraham, 2005. "Lattice Boltzmann Simulations Of Drop–Drop Interactions In Two-Phase Flows," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 25-44.
  • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:01:n:s0129183105006930
    DOI: 10.1142/S0129183105006930
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    1. Garcia-Ferrer, Antonio, 2000. "Business Cycles: Durations, Dynamics and Forecasting: Francis X. Diebold and Glenn D. Rudebusch, Princeton University Press, Princeton 1999. Hardcover, 420 pages. ISBN: 0-691-01218-0, $49.50," International Journal of Forecasting, Elsevier, vol. 16(2), pages 283-286.
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