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Thermophysics and Aeromechanics

, Volume 26, Issue 4, pp 481–497 | Cite as

Numerical simulation of a multicomponent mixing layer with solid particles

  • A. P. MakashevaEmail author
  • A. Zh. Naimanova
Article
  • 4 Downloads

Abstract

The work is devoted to the numerical simulation of a supersonic plane mixing layer of multicomponent gases in the presence of injection of particles at the interface of flows. A. algorithm for solving the system of Navier-Stokes equations for the gas phase and the system of ordinary differential equations for solid particles based on the Eulerian-Lagrangian representation is proposed I. is assumed that the turbulent flow is quasi-two-dimensional and the solution of the an original system is produced by the 2D-DNS approach without using additional closure models of turbulence. A detailed study of the influence of the gas phase on the particles distribution and their capture with coherent structures is performed with the variance of Mach numbers and particles injection locations The enhancing influence of the centrifugal force on the dispersion of particles is obtained with increase in the input Mach number. A quasi-equilibrium state with a gas flow of small particles is established.

Keywords

two-phase flow solid particles multicomponent gas Navier-Stokes equations Euler-Lagrange method 

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References

  1. 1.
    B.J. Lazaro and J.C. Lasheras, Particle dispersion in the developing free layer. Part 2. Forced flow, J. Fluid Mech., 1992, Vol. 235, P. 179–221.ADSCrossRefGoogle Scholar
  2. 2.
    K. Hishida, A. Ando, and M. Maeda, Experiments on particle dispersion in a turbulent mixing layer, J. Multi-phase Flow, 1992, Vol. 18, Iss. 2, P. 181–194.CrossRefGoogle Scholar
  3. 3.
    C. Pantano and S. Sarkar, A study of compressibility effects in the high-speed, turbulent shear layer using direct simulation, J. Fluid Mech., 2002, Vol. 451, P. 329–371.ADSCrossRefGoogle Scholar
  4. 4.
    Y. Li and J.B. McLaughlin, Numerical simulation of particle-laden turbulent channel flow, Phys. Fluids, 2001, Vol. 13, P. 2957–2967.ADSCrossRefGoogle Scholar
  5. 5.
    G. Jacobs and W.S. Don, A high-order WENO-Z finite difference based particle-source-in-cell method for com-putation of particle-laden flows with shocks, J. Comp. Phys., 2009, Vol. 5, P. 1365–1379.ADSCrossRefGoogle Scholar
  6. 6.
    I. Mahle, J. Sesterhenn, and R. Friedrich, Turbulent mixing in temporal compressible shear layers involving detailed diffusion processes, J. Turbulence, 2007, Vol. 8, No. 1. P. 1–21.ADSCrossRefGoogle Scholar
  7. 7.
    V.I. Terekhov and M.A. Pakhomov, Effect of particles on the flow structure and dispersion of solid impurities in a two-phase axisymmetric jet, Tech. Phys., 2011, Vol. 56, No. 10, P. 1406–1414.CrossRefGoogle Scholar
  8. 8.
    B.J. Lazaro and J.C. Lasheras, Particle dispersion in the developing free layer Part 2. Forced flow, J. Fluid Mech., 1992, Vol. 235, P. 179–185.ADSCrossRefGoogle Scholar
  9. 9.
    G. Kallio and M. Reeks, A numerical simulation of particle deposition in turbulent boundary layers, Int. J. Multiphase Flow, 1989, Vol. 15, P. 433–446.CrossRefGoogle Scholar
  10. 10.
    M.A. Pakhomov and V.I. Terekhov, Solid particle spreading in gas-dispersed confined swirling flow. Eulerian and Lagrangian approaches, Thermophysics and Aeromechanics, 2017, Vol. 24, No. 3, P. 325–338.ADSGoogle Scholar
  11. 11.
    S.K. Aggarwal, J.B. Yapo, F.F. Grinstein, and K. Kailasanath, Numerical simulation of particle transport in planar shear layers, Comp. Fluids, 1996, Vol. 25, No. 1, P. 39–59.CrossRefGoogle Scholar
  12. 12.
    Z. Hu, X. Luo, and K.H. Luo, Numerical simulation of particle dispersion in a spatially developing mixing layer, Theoret. Comput. Fluid Dyn., 2002, Vol. 15, No. 6, P. 403–420.ADSCrossRefGoogle Scholar
  13. 13.
    R. Kee, F.M. Rupley, and J.A. Miller, CHEMKIN-II: a Fortran chemical kinetic package for the analysis of gas-phase chemical kinetics, Sandia Report SAND89-8009B, Sandia National Laboratories, Albuquerque, 1989.Google Scholar
  14. 14.
    Yu.V. Lapin and M.Kh. Strelets, Internal Flows of Gas Mixtures, Nauka, Moscow, 1989.Google Scholar
  15. 15.
    N.N. Simakov, Experimental verification of the early crisis of drag using a single sphere, Tech. Phys., 2010, Vol. 55, No. 7, P. 913–919.CrossRefGoogle Scholar
  16. 16.
    V.V. Khar’kov and A.A. Ovchinnikov, An analysis of the forces determining the motion of droplets in a swirling gas flow, Vestnik tekhnologicheskogo universiteta, 2015, Vol. 18, No. 9, P. 106–109.Google Scholar
  17. 17.
    R. Chein and J.N. Chung, Effects of vortex pairing on particle dispersion in turbulent shear flows, Multiphase Flow, 1987, Vol. 13, P. 775–785.ADSCrossRefGoogle Scholar
  18. 18.
    T.J. Poinsot and S.K. Lele, Boundary conditions for direct simulation of compressible viscous flows, J. Comp. Phys., 1992, Vol. 101, No. 1, P. 104–129.ADSMathSciNetCrossRefGoogle Scholar
  19. 19.
    C.-J. Tam, R.A. Baurle, and M.R. Gruber, Numerical study of jet injection into a supersonic crossflow, in: 35th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Los Angeles, California, USA, AIAA Paper, 1999, No. 99-2254.Google Scholar
  20. 20.
    X.-T. Shi, J. Chen, W.-T. Bi, C.-W. Shu, and Z.-S. She, Numerical simulations of compressible mixing layers with a discontinuous Galerkin method, Acta Mech. Sin., 2011, Vol. 27, No. 3, P. 318–329.ADSMathSciNetCrossRefGoogle Scholar
  21. 21.
    P. Bruel and A.Zh. Naimanova, Computation of the normal injection of a hydrogen jet into a supersonic air flow, Thermophysics and Aeromechanics, 2010, Vol. 17, No. 4, P. 531–542.ADSCrossRefGoogle Scholar
  22. 22.
    P.J. Martinez Ferrer, G. Lehnasch, and A. Mura, Direct numerical simulations of high speed reactive mixing layers, J. Physics: Conf. Ser., 2012, No. 395, P. 01204–1–01204–8.Google Scholar
  23. 23.
    R. Varun, T. Sundararajan, R. Usha, and K. Srinivasan, Interaction between particle-laden underexpanded supersonic jets, Phys. Fluids, 2010, Vol. 224, No. 9, P. 72–96.Google Scholar
  24. 24.
    K. Luo, Q. Dai, X. Liu, and J. Fan, Effects of wall roughness on particle dynamics in a spatially developing turbulent boundary layer, Int. J. Multiphase Flow, 2018, Vol. 111, P. 414–421.MathSciNetGoogle Scholar
  25. 25.
    Q. Dai, T. Jin, K. Luo, and J. Fan, Direct numerical simulation of particle dispersion in a three-dimensional spatially developing compressible mixing layer, Phys. Fluids, 2018, Vol. 30, P. 56–78.CrossRefGoogle Scholar

Copyright information

© A.P. Makasheva and A.Zh. Naimanova 2019

Authors and Affiliations

  1. 1.Institute of Mathematics and Mathematical Modeling MES RKAlmatyKazakhstan

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