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Modeling reacting multi-species flows with a detailed multi-fluid lattice Boltzmann scheme

ABSTRACT
Recent advances and findings reported in the literature show that the lattice Boltzmann (LB) method can be a viable and rather efficient alternative to classical numerical methods in modeling multi-species flows. Based on the kinetic theory of multicomponent gases, multi-fluid approaches are derived. Each species evolves according to the specific properties, a proper coupling must be introduced for modeling the diffusivity. In recent years, a discrete kinetic scheme for multi-component flows has been proposed which was able to solve the Maxwell-Stefan system of equations for any number of species. However, reacting flows lead to additional challenges and have seldom been studied by LB method. The aim of the present work is to implement this model in the LB solver, extend it to take account multiple chemical reactions. The temperature is modeled through separate distribution function and the flow distribution function is assumed to be independent of temperature. The performance has been checked for a binary diffusion flow and a counter-current propane/air reacting flow. The obtained results show that this model able to deal with multi-species flows and solves the multi-component system of equations
KEYWORDS
PAPER SUBMITTED: 2019-06-26
PAPER REVISED: 2020-03-02
PAPER ACCEPTED: 2020-03-04
PUBLISHED ONLINE: 2020-04-04
DOI REFERENCE: https://doi.org/10.2298/TSCI190626140N
REFERENCES
  1. Yin, X. W., Zhang, J. F., An improved bounce-back scheme for complex boundary conditions in lattice Boltzmann method, Journal of Computational Physics, 231(2012), 11, pp. 4295-4303
  2. Aidun, C. K., Clausen J. R., Lattice-Boltzmann method for complex flows, Annual Review of Fluid Mechanics, 42(2010), 1, pp. 439-472
  3. Bhatnagarand, P. L., et al., A model for collision processes in gases. i. small amplitude processes in charged and neutral one-component systems, Physical Review, 94(1954), 3, pp. 511-525
  4. Bao, Y. B., Meskas, J., Lattice Boltzmann method for fluid simulations. Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, 2011.
  5. Hou, S. L., et al., Simulation of cavity flow by the lattice Boltzmann method, Journal of Computational Physics, 118(1995), 2, pp. 329-347
  6. Gunstensen, A. K., et al., Lattice Boltzmann model of immiscible fluids, Physical Review A, 43(1991), 8, pp. 4320
  7. Orlandini, E., et al., A lattice Boltzmann model of binary-fluid mixtures, Europhysics Letters, 32(1995), 6, pp. 463
  8. Osborn, W. R., et al., Lattice Boltzmann study of hydrodynamic spinodal decomposition, Physical review letters, 75(1995), 22, pp. 4031
  9. Swift, M. R., et al., Lattice Boltzmann simulations of liquid-gas and binary fluid systems, Physical Review E, 54(1996), 5, pp. 5041
  10. Sofonea, V., Sekerka, R. F., BGK models for diffusion in isothermal binary fluid systems, Physica A: Statistical Mechanics and its Applications, 299(2001), 3, pp. 494
  11. Filippova, O., Hanel, D., Lattice-BGK model for low Mach number combustion, International Journal of Modern Physics C, 9(1998), 8, pp. 1439
  12. Filippova, O., Hanel, D., A novel lattice BGK approach for low Mach number combustion, Journal of Computational Physics, 158(2000), 2, pp. 139-160
  13. Andries, P., et al., A consistent BGK-type model for gas mixtures, Journal of Statistical Physics, 106(2002), 5, pp. 993-1018
  14. Sirovich, L. , Kinetic modeling of gas mixtures, The Physics of Fluids, 5(1962), 8, pp. 908-918
  15. Luo, L. S., Girimaji, S. S., Lattice Boltzmann model for binary mixtures, Physical Review E, 66(2002), 3, pp. 035301
  16. Xu, A. G., Two-dimensional finite-difference lattice Boltzmann method for the complete Navier stokes equations of binary fluids, Europhysics Letters, 69(2004), 2, pp. 214
  17. Asinari, P., Viscous coupling based lattice Boltzmann model for binary mixtures, Physics of Fluids, 17(2005), 6, pp. 067102
  18. Asinari, P., Semi-implicit-linearized multiple-relaxation-time formulation of lattice Boltzmann schemes for mixture modeling, Physical Review E, 73(2006), 5, pp. 056705
  19. Arcidiacono, S., et al., Lattice Boltzmann model for the simulation of multicomponent mixtures, Physical Review E, 76(2007), 4, pp. 046703
  20. Flekkøy, E. G., Lattice Bhatnagar-Gross-Krook models for miscible fluids, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(1993), 6, pp. 4247-4257
  21. Shan, X. W., Chen, H. D., Lattice Boltzmann model for simulating flows with multiple phases and components, Physical Review E, 47(1993), 3, pp. 1815-1819
  22. Shan, X. W., Chen, H. D., Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation, Physical Review E, 49(1994), 4, pp. 2941
  23. Zhang, R. Y., Chen, H. D., Lattice Boltzmann method for simulations of liquid-vapor thermal flows, Physical Review E, 67(2003), 6, pp. 066711
  24. Li, Q., et al., Lattice Boltzmann modeling of boiling heat transfer: The boiling curve and the effects of wettability, International Journal of Heat and Mass Transfer, 85(2015), pp. 787 796
  25. Zheng, S. F., et al., Numerical investigation of convective dropwise condensation flow by a hybrid thermal lattice Boltzmann method, Applied Thermal Engineering, 145(2018), pp. 590-602
  26. Zheng, S. F., et al., Single droplet condensation in presence of noncondensable gas by a multi-component multi-phase thermal lattice Boltzmann model, International Journal of Heat and Mass Transfer, 139(2019), pp. 254-268
  27. Zudrop, J., et al., A robust lattice Boltzmann method for parallel simulations of multicomponent flows in complex geometries, Computers & Fluids, 153(2017), pp. 20-33
  28. Eshghinejadfard, A., Thévenin, D., Numerical simulation of heat transfer in particulate flows using a thermal immersed boundary lattice Boltzmann method, International Journal of Heat & Fluid Flow, 60(2016), pp. 31-46
  29. Eshghinejadfard, A., et al., Direct-forcing immersed boundary lattice Boltzmann simulation of particle/fluid interactions for spherical and non-spherical particles, Particuology, 25(2016), pp. 93-103
  30. Poinsot, T., Veynante, D., Theoretical and numerical combustion, Prog. Energy Combust. Sci.,28(2005)
  31. Ning, C., Modeling reacting multi-species flows with a multi-fluid lattice Boltzmann scheme, Master's thesis, University of Magdeburg, Germany, 2018.
  32. McCracken, M. E., Abraham, J., Lattice Boltzmann methods for binary mixtures with different molecular weights, Physical Review E, 71(2005), 4, pp. 046704
  33. Yamamoto, K., et al., Simulation of combustion field with lattice Boltzmann method, Journal of statistical physics, 107(2002),1-2, pp. 367-383
  34. Hosseini, S. A., et al., Mass-conserving advection diffusion lattice Boltzmann model for multi-species reacting flows, Physica A: Statistical Mechanics and its Applications, 499(2018), pp. 40-57