Etude numérique et modélisation de la modulation de la turbulence dans un écoulement de nappe chargée en particules. (Numerical study and modelling of turbulence modulation in a particle laden slab flow)

This paper describes a numerical and theoretical study of the mean and turbulent interphase kinetic energy transfer in gas–particle flows using direct numerical simulation for the continuous phase, that directly resolves all the turbulent scales of the fluid flow, coupled with a Lagrangian prediction of trajectories of discrete particles. The configuration corresponds to a slab of particles injected at high velocity into an isotropic decaying turbulence. The particles are small compared to the turbulent length scale and the volume fraction of the dispersed phase is low. The limitations of the computational technique are first considered and its accuracy is evaluated by analysis of the kinetic energy and dissipation rate budgets. The momentum transfer between particles and gas causes a strong acceleration of the fluid by the particles in the slab region and enhances the turbulence at the periphery due to the production by the mean gas velocity gradients. The analysis of the interphase transfer terms in the...

[1]  J. Riley,et al.  Equation of motion for a small rigid sphere in a nonuniform flow , 1983 .

[2]  L. Collins,et al.  A numerical study of the modulation of isotropic turbulence by suspended particles , 1996, Journal of Fluid Mechanics.

[3]  M. Maxey,et al.  Methods for evaluating fluid velocities in spectral simulations of turbulence , 1989 .

[4]  J. Bellan,et al.  Direct numerical simulation of a confined three-dimensional gas mixing layer with one evaporating hydrocarbon-droplet-laden stream , 1999, Journal of Fluid Mechanics.

[5]  Farzad Mashayek,et al.  Droplet–turbulence interactions in low-Mach-number homogeneous shear two-phase flows , 1998, Journal of Fluid Mechanics.

[6]  K. Squires,et al.  On the prediction of gas–solid flows with two-way coupling using large eddy simulation , 2000 .

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

[8]  Gérard Gouesbet,et al.  On the Lagrangian simulation of turbulence influence on droplet evaporation , 1991 .

[9]  Koichi Hishida,et al.  Effect of laden solid particles on the turbulent flow structure of a round free jet , 1987 .

[10]  H. C. Mongia,et al.  On the interaction of particles and turbulent fluid flow , 1988 .

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

[12]  S. Lele.  Compact finite difference schemes with spectral-like resolution , 1992 .

[13]  Said Elghobashi,et al.  Prediction of the particle-laden jet with a two-equation turbulence model , 1984 .

[14]  Clayton T. Crowe,et al.  Effect of particle size on modulating turbulent intensity , 1989 .

[15]  P. Sagaut.  BOOK REVIEW: Large Eddy Simulation for Incompressible Flows. An Introduction , 2001 .

[16]  C. Tchen,et al.  Mean Value and Correlation Problems connected with the Motion of Small Particles suspended in a turbulent fluid , 1947 .

[17]  Clayton T. Crowe,et al.  On Models for Turbulence Modulation in Fluid-Particle Flows , 2000 .

[18]  S. Elghobashi,et al.  On the mechanisms of modifying the structure of turbulent homogeneous shear flows by dispersed particles , 2000 .

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

[20]  Michel Lance,et al.  Homogeneous Turbulence in Bubbly Flows , 1991 .

[21]  Olivier Simonin,et al.  On Two-Way Coupling in Gas-Solid Turbulent Flows , 2003 .

[22]  S. Pope,et al.  An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence , 1988 .

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

[24]  K. Squires,et al.  Direct numerical simulation of turbulence modulation by particles in isotropic turbulence , 1998, Journal of Fluid Mechanics.

[25]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[26]  Olivier Simonin,et al.  Eulerian Prediction of the Fluid/Particle Correlated Motion in Turbulent Two-Phase Flows , 1993 .

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