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.
Similar content being viewed by others
References
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.
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.
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.
Y. Li and J.B. McLaughlin, Numerical simulation of particle-laden turbulent channel flow, Phys. Fluids, 2001, Vol. 13, P. 2957–2967.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Yu.V. Lapin and M.Kh. Strelets, Internal Flows of Gas Mixtures, Nauka, Moscow, 1989.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Makasheva, A.P., Naimanova, A.Z. Numerical simulation of a multicomponent mixing layer with solid particles. Thermophys. Aeromech. 26, 481–497 (2019). https://doi.org/10.1134/S0869864319040024
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864319040024