Large-eddy simulation modeling of turbulent flame synthesis of titania nanoparticles using a bivariate particle description

Flame-based synthesis of nanoparticles is an important chemical process used for the manufacturing of metal oxide particles. In this aerosol process, nanoparticle precursors are injected into a high-temperature flame that causes precursor oxidation, nucleation, and subsequent growth of solid particles through a variety of processes. To aid computational design of the aerosol process, a large-eddy simulation (LES) based computational framework is developed here. A flamelet-based model is used to describe both combustion and precursor oxidation. The solid phase nanoparticle evolution is described using a bivariate number density function (NDF) approach. The high-dimensional NDF transport equation is solved using a novel conditional quadrature method of moments (CQMOM) approach. Particle phase processes such as collision-based aggregation, and temperature-induced sintering are included in this description. This LES framework is used to study an experimental methane/air flame that used titanium tetrachloride to generate titania particles. The simulation results show that the evolution process of titania nanoparticles is largely determined by the competition between particle aggregation and sintering at downstream locations in the reactor. It is shown that the bivariate description improves the prediction of particle size characteristics, although the large uncertainty in inflow and operating conditions prevent a full scale validation. © 2013 American Institute of Chemical Engineers AIChE J 60: 459–472, 2014

[1]  Sotiris E. Pratsinis,et al.  Flame aerosol synthesis of smart nanostructured materials , 2007 .

[2]  C. Yuan,et al.  Conditional quadrature method of moments for kinetic equations , 2011, J. Comput. Phys..

[3]  P. Moin,et al.  A dynamic model for subgrid-scale variance and dissipation rate of a conserved scalar , 1998 .

[4]  S. Osher,et al.  Weighted essentially non-oscillatory schemes , 1994 .

[5]  Venkat Raman,et al.  Large-eddy-simulation-based multiscale modeling of TiO2 nanoparticle synthesis in a turbulent flame reactor using detailed nucleation chemistry , 2011 .

[6]  M. Rogers,et al.  A priori testing of subgrid models for chemically reacting non-premixed turbulent shear flows , 1997, Journal of Fluid Mechanics.

[7]  Wu,et al.  Linear rate law for the decay of the excess surface area of a coalescing solid particle. , 1994, Physical review. B, Condensed matter.

[8]  Rodney O. Fox,et al.  Multiscale modeling of TiO2 nanoparticle production in flame reactors: Effect of chemical mechanism , 2010 .

[9]  S. Garrick,et al.  Modeling and Simulation of Titania Synthesis in Two-dimensional Methane–air Flames , 2005 .

[10]  P. Moin,et al.  A dynamic subgrid‐scale model for compressible turbulence and scalar transport , 1991 .

[11]  Jianzhong Lin,et al.  Effect of precursor loading on non-spherical TiO2 nanoparticle synthesis in a diffusion flame reactor , 2008 .

[12]  Heinz Pitsch,et al.  Hybrid large-eddy simulation/Lagrangian filtered-density-function approach for simulating turbulent combustion , 2005 .

[13]  S. Pratsinis,et al.  Computational analysis of coagulation and coalescence in the flame synthesis of titania particles , 2001 .

[14]  H. J. Kim,et al.  Modeling of Generation and Growth of Non-Spherical Nanoparticles in a Co-Flow Flame , 2003 .

[15]  J. C. Cheng,et al.  Kinetic Modeling of Nanoprecipitation using CFD Coupled with a Population Balance , 2010 .

[16]  Wenhua H. Zhu,et al.  The role of gas mixing in flame synthesis of titania powders , 1996 .

[17]  M. Germano,et al.  Turbulence: the filtering approach , 1992, Journal of Fluid Mechanics.

[18]  Markus Kraft,et al.  A coupled CFD-population balance approach for nanoparticle synthesis in turbulent reacting flows , 2011 .

[19]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[20]  Sotiris E. Pratsinis,et al.  Aerosol-based technologies in nanoscale manufacturing: from functional materials to devices through core chemical engineering , 2010 .

[21]  Rodney O. Fox,et al.  On the role of gas-phase and surface chemistry in the production of titania nanoparticles in turbulent flames , 2013 .

[22]  Jianzhong Lin,et al.  Numerical simulation of nanoparticle synthesis in diffusion flame reactor , 2008 .

[23]  William H. Green,et al.  A detailed kinetic model for combustion synthesis of titania from TiCl4 , 2009 .

[24]  Johannes Janicka,et al.  Large-eddy simulation of a bluff-body stabilized nonpremixed flame , 2006 .

[25]  Heinz Pitsch,et al.  High order conservative finite difference scheme for variable density low Mach number turbulent flows , 2007, J. Comput. Phys..

[26]  P. Moin,et al.  Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion , 2004, Journal of Fluid Mechanics.

[27]  Sotiris E. Pratsinis,et al.  Computational fluid-particle dynamics for the flame synthesis of alumina particles , 2000 .

[28]  Robert McGraw,et al.  Description of Aerosol Dynamics by the Quadrature Method of Moments , 1997 .

[29]  P. Moin,et al.  A dynamic localization model for large-eddy simulation of turbulent flows , 1995, Journal of Fluid Mechanics.

[30]  H. Pitsch,et al.  Large-eddy simulation of a turbulent piloted methane/air diffusion flame (Sandia flame D) , 2000 .