Abstract
Coagulation and growth of nanoparticles subject to large coherent structures in a planar jet has been explored by using large eddy simulation. The particle field is obtained by employing a moment method to approximate the nanoparticle general dynamic equation. An incompressible fluid containing particles of 1 nm in diameter is projected into a particle-free ambient. The results show that the coherent structures dominate the evolution of the nanoparticle number intensity diameter and polydispersity distributions as the jet develops. In addition, the coherent structures act to increase the diffusion of particles, and the vortex rolling-up makes the particles distributing more irregularly while the vortex pairing causes particle distributions to become uniform. As the jet travels downstream, the time-averaged particle number concentration becomes lower in the jet core and higher in the outskirts, whereas the time-averaged particle mass over the entire flow field maintains unaltered, and the time-averaged particle diameter and geometric standard deviations grow and reach their maximum on the interface of the jet region and the ambient.
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References
Hulbert H.M., Katz S. (1964). Some problems in particle technology: a statisticl mechanical formulation. Chem. Eng. Sci. 19:555–574
Sherwin M.B., Shinnar R., Katz S. (1967). Dynamic behavior of the well-mixed isothermal crystallizer. AIChE. J. 13:1141–1153
Friedlander S.K. (1977). Smoke, dust and haze: fundamentals of aerosol behavior. Wiley, New York, NY
Seigneur C., Hudischewskyj A.B., Seinfeld J.H., Whitby K.T., Whitby E.R., Brock J.R., Barnses H.M. (1986). Simulation of aerosol dynamics: a comparative review of mathematical models. Aerosol. Sci. Technol. 5:205–222
Frenklach M., Harris J.S. (1987). Aerosol dynamics modeling using the method of moments. J. Colloid. Interface Sci. 118:252–261
McGraw R., Nemesure S., Schwartz S.E. (1998). Properties and evolution of aerosols with distribution having indentical moments. J. Aerosol. Sci. 29:761–772
Settumba N., Garrick S.C. (2003). Direct numerical simulation of nanoparticle coagulation in a temporal mixing layer via a moment method. J. Aerosol. Sci. 34:149–167
Pyykonen J., Jokiniemi J. (2000). Computational fluid dynamics based sectional aerosol modeling schemes. Journal of aerosol science. J. Aerosol. Sci. 31:531–550
Pratsinis S.E. (1988). Simultaneous nucleation, condensation and coagulation in aerosol reactors. J. Colloid. Interface Sci. 124:416–427
Pratsinis S.E., Kim K.S. (1989). Particle coagulation, diffusion, and thermophoresis in laminar flows. J. Aerosol. Sci. 20:101–111
Talukdar S.S., Swihart M.T. (2004). Aerosol dynamics modeling of silicon nanoparticle formation during silane pyrolysis: a comparison of three solution methods. J. Aerosol. Sci. 35:889–908
Settumba N., Garrick S.C. (2004). A comparison of diffusive transport in a moment method for nanoparticle coagulation. J. Aerosol. Sci. 35:93–101
Miller S.E., Garrick S.C. (2004). Nanoparticle coagulation in a planar jet. Aerosol. Sci. Technol. 38:79–89
Modem S., Garrick S.C. (2003). Nanoparticle coagulation in a temporal mixing layer mean and size-selected images. J. Visualization 6:293–302
Joutsensaari J., Ahonen P., Tapper U., Kauppinen E., Laurila J., Kuokkala V. (1996). Generation of nanophase fullerene particles via aerosol routes. Synth. Met. 77:85–88
Giesen B., Orthner H.R., Kowalik A., Roth P. (2004). On the interaction of coagulation and coalescence during gas-phase synthesis of Fe-nanoparticle agglomerates. Chem. Eng. Sci. 59:2201–2211
Moody E.G., Collins L.R. (2003). Effect of mixing on the nucleation and growth of titania particles. Aerosol. Sci. Technol. 37:403–424
Lin J.Z., Shao X.M., Ni L.M. (2002). Wavelet analysis of coherent structures in a three-dimensional mixing layer. Acta. Mechanica. Sinica. 18(1):42–52
Lin J.Z. Shi X., Yu Z.S. (2005). The stress-microstructure relationship in an evolving mixing layer of fiber suspension. Acta. Mechanica. Sinica. 21(1):16–23
Luo X.P., Chen S.Y. (2005). Transport of particles in an atmospheric turbulent boundary layer. Acta. Mechanica. Sinica. 21(3): 235–242
Germano M., Piomelli U., Moin P., Cabot W.H. (1991). A dynamics subgrid-scale eddy viscosity model. Phys. Fluids A. 3:1760–1765
Lilly D.K. (1992). A proposed modification of the Germano subgrid scale closeure method. Phys. Fluids. A. 4:633–635
Suh S.M., Zachariah M.R., Girshick S.L. (2001). Modeling particle formation during low-pressure silane oxidation: Detailed chemical kinetics and aerosol dynamics. J. Vacuum. Sci. Technol. A. 19:940–951
Xiong Y., Pratsins S.E. (1991). Gas phase production of particles in reactive turbulent flows. J. Aerosol. Sci. 22:637–655
Lehtinen K.E.J., Zachariah M.R. (2001). Self-preserving theory for the volume distribution of particles undergoing brownian coagulation. J. Colloid. Interface. Sci. 242:314–318
Ablitzer C., Gruy F., Perrais C. (2001). Powder formation by hydrolysis of metallic chlorides in a coaxial gas jet-experiments and modeling. Chem. Eng. Sci. 56:2409–2420
Forstall W., Shapiro A.H. (1950). Momentum and mass transfer in coaxial gas jets. Trans. ASME. J. Appl. Mech. 17:399–408
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The project was supported by the National Natural Science Foundation of China (10372090) and the Doctoral Program of Higher Education of China (20030335001).
The English text was polished by Yunming Chen.
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Yu, M., Lin, J., Chen, L. et al. Large Eddy Simulation of a Planar Jet Flow with Nanoparticle Coagulation. Acta Mech Mech Sinica 22, 293–300 (2006). https://doi.org/10.1007/s10409-006-0011-z
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DOI: https://doi.org/10.1007/s10409-006-0011-z