Two-way coupled turbulence simulations of gas-particle flows using point-particle tracking

This paper addresses computational models for dilute gas-particle multiphase flow in which the three dimensional, time-dependent fluid motion is calculated in an Eulerian frame, and a large number of particles are tracked in a Lagrangian frame. Point forces are used to represent the back effect of the particles on the turbulence. The paper describes the early development of the technique, summarizes several experiments which show how dilute particle loadings can significantly alter the turbulence, and demonstrates how the point-particle method fails when the particles are comparable in scale to the small scale turbulence. High-resolution simulations and experiments which demonstrate the importance of the flow details around individual particles are described. Finally, opinions are stated on how future model development should proceed.

[1]  K. Squires,et al.  Particle response and turbulence modification in isotropic turbulence , 1990 .

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

[3]  M. Maxey The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields , 1987, Journal of Fluid Mechanics.

[4]  John R. Fessler,et al.  Preferential concentration of particles by turbulence , 1991 .

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

[6]  Martin Sommerfeld,et al.  Experimental studies on particle behaviour and turbulence modification in horizontal channel flow with different wall roughness , 2002 .

[7]  John R. Fessler,et al.  Particle response and turbulence modification in fully developed channel flow , 1994, Journal of Fluid Mechanics.

[8]  J. Eaton,et al.  The behavior of solid particles in a vertical turbulent boundary layer in air , 1990 .

[9]  S. Balachandar,et al.  Effect of turbulence on the drag and lift of a particle , 2003 .

[10]  Yoshinobu Morikawa,et al.  LDV measurements of an air–-solid two-phase flow in a horizontal pipe , 1982, Journal of Fluid Mechanics.

[11]  Akira Yoshizawa,et al.  Statistical analysis of the deviation of the Reynolds stress from its eddy‐viscosity representation , 1984 .

[12]  John K. Eaton,et al.  Lagrangian and Eulerian statistics obtained from direct numerical simulations of homogeneous turbulence , 1991 .

[13]  John R. Fessler,et al.  Turbulence modification by particles in a backward-facing step flow , 1999, Journal of Fluid Mechanics.

[14]  John K. Eaton,et al.  Fully resolved simulations of particle-turbulence interaction , 2003, Journal of Fluid Mechanics.

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

[16]  J. Eaton,et al.  Turbulence attenuation by small particles in the absence of gravity , 2006 .

[17]  S. R. Kale,et al.  An experimental investigation of gas-particle flows through diffusers in the freeboard region of fluidized beds , 1985 .

[18]  Kyle D. Squires,et al.  Large eddy simulation of particle‐laden turbulent channel flow , 1996 .

[19]  L. Portela,et al.  Eulerian–Lagrangian DNS/LES of particle–turbulence interactions in wall‐bounded flows , 2003 .

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

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

[22]  Anthony D. Paris,et al.  Turbulence attenuation in a particle-laden channel flow , 2001 .

[23]  J. Eaton,et al.  Creating homogeneous and isotropic turbulence without a mean flow , 2004 .

[24]  J. Eaton,et al.  Effects of Wall Roughness on Particle Velocities in a Turbulent Channel Flow , 2005 .

[25]  John K. Eaton,et al.  Effect of Selective Modification of Turbulence on Two-Equation Models for Particle-Laden Turbulent Flows , 1994 .

[26]  S. Pope,et al.  Lagrangian statistics from direct numerical simulations of isotropic turbulence , 1989, Journal of Fluid Mechanics.

[27]  J. Eaton,et al.  Reynolds-number scaling of the flat-plate turbulent boundary layer , 2000, Journal of Fluid Mechanics.

[28]  R. Rogallo Numerical experiments in homogeneous turbulence , 1981 .

[29]  T. Kajishima,et al.  Large-eddy simulation of turbulent gas–particle flow in a vertical channel: effect of considering inter-particle collisions , 2001, Journal of Fluid Mechanics.

[30]  C. Pierce,et al.  Progress-variable approach for large-eddy simulation of turbulent combustion , 2001 .

[31]  John K. Eaton,et al.  A correction method for measuring turbulence kinetic energy dissipation rate by PIV , 2007 .

[32]  C. Crowe,et al.  The Particle-Source-In Cell (PSI-CELL) Model for Gas-Droplet Flows , 1977 .

[33]  J. Eaton,et al.  Homogeneous and isotropic turbulence modulation by small heavy ($St\sim 50$) particles , 2006, Journal of Fluid Mechanics.

[34]  J. Eaton,et al.  The effect of small particles on fluid turbulence in a flat‐plate, turbulent boundary layer in air , 1991 .

[35]  Yoshinobu Morikawa,et al.  LDV measurements of an air-solid two-phase flow in a vertical pipe , 1984, Journal of Fluid Mechanics.

[36]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[37]  John Kim,et al.  DIRECT NUMERICAL SIMULATION OF TURBULENT CHANNEL FLOWS UP TO RE=590 , 1999 .

[38]  John K. Eaton,et al.  Analysis of a Fractional-Step Method on Overset Grids , 2002 .

[39]  Franz Durst,et al.  On the motion of particles in turbulent duct flows , 1982 .

[40]  Damian Rouson,et al.  On the preferential concentration of solid particles in turbulent channel flow , 2001, Journal of Fluid Mechanics.

[41]  Inchul Kim,et al.  On the equation for spherical-particle motion: effect of Reynolds and acceleration numbers , 1998, Journal of Fluid Mechanics.

[42]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.