Simulation and Reynolds stress modeling of particle-laden turbulent shear flows

Abstract Direct numerical simulation (DNS) is conducted of a homogeneous turbulent shear flow laden with mono-size particles. The dispersed phase is simulated in the Lagrangian frame and the carrier phase is considered in the Eulerian manner. The coupling between the two phases is `two-way' which allows investigation of the effects of the mass loading ratio and the particle time constant on both phases. A new Reynolds stress model (RSM) is developed based on a `two-fluid' methodology in which both the carrier phase and the dispersed phase are considered in the Eulerian frame. Closures are suggested for the unclosed terms (including the pressure–velocity gradient) which manifest the effects of two-way coupling. The results generated by DNS are used to determine the magnitudes of some of the empirical constants appearing in RSM. The final model predictions for all the components of the fluid, the particle, and fluid-particle Reynolds stresses are assessed via detailed comparisons against DNS data.

[1]  S. Elghobashi,et al.  Direct simulation of particle dispersion in a decaying isotropic turbulence , 1992, Journal of Fluid Mechanics.

[2]  Tsan-Hsing Shih,et al.  Second-order modelling of particle dispersion in a turbulent flow , 1986, Journal of Fluid Mechanics.

[3]  S. Elghobashi,et al.  On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification , 1993 .

[4]  M. Reeks.  On the constitutive relations for dispersed particles in nonuniform flows. I: Dispersion in a simple shear flow , 1993 .

[5]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[6]  G. S. Patterson,et al.  DIFFUSION EXPERIMENTS WITH NUMERICALLY INTEGRATED ISOTROPIC TURBULENCE. , 1974 .

[7]  J. McLaughlin.  Aerosol particle deposition in numerically simulated channel flow , 1989 .

[8]  Stavros Tavoularis,et al.  Experiments in nearly homogenous turbulent shear flow with a uniform mean temperature gradient. Part 1 , 1981, Journal of Fluid Mechanics.

[9]  K. Squires,et al.  Preferential concentration of particles by turbulence , 1991 .

[10]  U. Lei,et al.  On the motion of small particles in a homogeneous turbulent shear flow , 1991 .

[11]  Clayton T. Crowe,et al.  Numerical models for two-phase turbulent flows , 1996 .

[12]  K. Squires,et al.  Measurements of particle dispersion obtained from direct numerical simulations of isotropic turbulence , 1991, Journal of Fluid Mechanics.

[13]  L. M. Liljegren.  The effect of a mean fluid velocity gradient on the streamwise velocity variance of a particle suspended in a turbulent flow , 1993 .

[14]  Said Elghobashi,et al.  A two‐equation turbulence model for two‐phase flows , 1983 .

[15]  Olivier Simonin,et al.  Large Eddy Simulation and Second-Moment Closure Model of Particle Fluctuating Motion in Two-Phase Turbulent Shear Flows , 1995 .

[16]  Philip E. Wood,et al.  Turbulence closure modeling of the dilute gas‐particle axisymmetric jet , 1986 .