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Simulations Of Liquid Break Up With An Axisymmetric, Multiple Relaxation Time, Index-Function Lattice Boltzmann Model

Author

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  • MICHAEL E. MCCRACKEN

    (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

Liquid break up is an important phenomenon in many practical applications including combustion engines and paint sprays. The fundamental mechanisms which lead to this break up are not well understood. In this paper, the lattice Boltzmann method is employed to assess its potential for investigating these mechanisms. To do this, an axisymmetric, multiple relaxation time (MRT) lattice Boltzmann method, which allows for higher Reynolds numbers to be achieved than with the standard Bhatnagar-Gross-Krook (BGK) lattice Boltzmann model, is employed to simulate liquid break up. To assess the accuracy of the model, it is employed to simulate Rayleigh break up. The computational results for Rayleigh break up are compared to experimental and theoretical predictions and shown to have agreement within several percent. Then, the model is employed to carry out initial studies of transient liquid jets to investigate the influence of surface tension, injection velocity, and liquid viscosity.

Suggested Citation

  • Michael E. Mccracken & John Abraham, 2005. "Simulations Of Liquid Break Up With An Axisymmetric, Multiple Relaxation Time, Index-Function Lattice Boltzmann Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(11), pages 1671-1692.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:11:n:s0129183105008291
    DOI: 10.1142/S0129183105008291
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    Cited by:

    1. Premnath, Kannan N. & Pattison, Martin J. & Banerjee, Sanjoy, 2009. "Dynamic subgrid scale modeling of turbulent flows using lattice-Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2640-2658.

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