浙江大学 航空航天学院 流体工程研究所,杭州,310027
杨海林(1996-),男,博士研究生,研究方向:微纳颗粒两相流体动力学. E-mail:yanghailin@zju.edu.cn
林建忠*(1958-),男,教授,研究方向:多相流体动力学,微纳流动,湍流. E-mail:mecjzlin@public.zju.edu.cn
纸质出版:2021
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杨海林, 林建忠. 微纳颗粒两相流系统中湍流脉动效应研究综述[J]. 空气动力学学报, 2021, 39(3): 109−120.
YANG Hailin, LIN Jianzhong. Review of turbulent fluctuation effect on nano-particle two-phase flow system[J]. 2021, 39(3): 109-120.
杨海林, 林建忠. 微纳颗粒两相流系统中湍流脉动效应研究综述[J]. 空气动力学学报, 2021, 39(3): 109−120. DOI: 10.7638/kqdlxxb-2021.0030
YANG Hailin, LIN Jianzhong. Review of turbulent fluctuation effect on nano-particle two-phase flow system[J]. 2021, 39(3): 109-120. DOI: 10.7638/kqdlxxb-2021.0030.
给出了微纳颗粒两相湍流中颗粒一般动力学方程,分析了该方程包含的因湍流脉动导致的未封闭源项;回顾了湍流脉动对颗粒成核、生长、凝并以及破碎作用的研究,包括从源项核函数的构造发展到对方程进行雷诺平均或亚格子滤波;叙述了用直接数值模拟(DNS)方法、蒙特卡洛法、大涡模拟方法(LES)以及雷诺平均方法(RANS)对方程进行求解的研究成果;介绍了对颗粒一般动力学方程进行封闭求解的研究途径,包括引入相关函数建立未封闭源项与颗粒性质、湍流场特性的关系以及直接将概率密度函数(PDF)代入未封闭源项,再通过统计学方法获得源项的平均效应;提出了将来值得进一步探讨的重要问题,包括湍流脉动对颗粒凝并的影响、实验仪器和实验技术以及对颗粒一般动力学方程中未知项的模化开展有针对性的实验研究。
The general dynamic equation (GDE) of micro/nano-particle in two-phase turbulence flow is presented
and the unclosed source terms induced by turbulent fluctuation are analyzed. The effects of turbulence fluctuation on the particle nucleation
condensation growth
coagulation and breakage are reviewed
including the modification of the source kernel function and Reynolds-average or subgrid -scale filtering to the GDE. The research results of solving the GDE using the method of direct numerical simulation (DNS)
Monte Carlo
large eddy simulation (LES) and Reynolds-averaged Navier-Stokes (RANS) simulation are described. The closed approach for solving the GDE is introduced: the correlation function is used to establish the relationship between the unclosed source term and the properties of particles and turbulent flow field
the probability density function (PDF) is directly substituted into the unclosed source term
and then the averaged values of the unclosed source term are obtained by statistical method. Some important problems of further study are discussed
including the effect of turbulence fluctuation on particle coagulation
experimental instruments and techniques
and targeted experimental research on the modeling of unclosed terms in the general particle dynamic equation.
FRIEDLANDER S K. Smoke, dust, and haze: Fundamentals of aerosol dynamics[M]. 2nd ed. New York: Oxford University Press, 2000.
ATTILI A, BISETTI F. Fluctuations of a passive scalar in a turbulent mixing layer[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2013, 88(3): 033013.DOI: 10.1103/PhysRevE.88.033013
SAITO I, GOTOH T. Turbulence and cloud droplets in cumulus clouds[J]. New Journal of Physics, 2018, 20(2): 023001.DOI: 10.1088/1367-2630/aaa229
SIEBERT H, SHAW R A. Supersaturationfluctuations during the early stage of cumulus formation[J]. Journal of the Atmospheric Sciences, 2017, 74(4): 975-988.DOI: 10.1175/jas-d-16-0115.1
CHEN SS, XUE LL, YAU M K. Impact of aerosols and turbulence on cloud droplet growth: an in-cloud seeding case study using a parcel–DNS (direct numerical simulation) approach[J]. Atmospheric Chemistry and Physics, 2020, 20(17): 10111-10124.DOI: 10.5194/acp-20-10111-2020
PINSKY M B, KHAIN A P. Turbulence effects on droplet growth and size distribution in clouds—A review[J]. Journal of Aerosol Science, 1997, 28(7): 1177-1214.DOI: 10.1016/S0021-8502(97)00005-0
SHAW R A. Particle-turbulenceinteractionsinatmosphericclouds[J]. Annual Review of Fluid Mechanics, 2003, 35(1): 183-227.DOI: 10.1146/annurev.fluid.35.101101.161125
GRABOWSKI W W, WANG L P. Growth of cloud droplets in a turbulent environment[J]. Annual Review of Fluid Mechanics, 2013, 45(1): 293-324.DOI: 10.1146/annurev-fluid-011212-140750
JAYESH, WARHAFT Z. Probability distribution, conditional dissipation, and transport of passive temperature fluctuations in grid-generated turbulence[J]. Physics of Fluids A: Fluid Dynamics, 1992, 4(10): 2292-2307.DOI: 10.1063/1.858469
GRANDMAISON E W, BECKER H A, ZETTLER N L. Scalar mixing in turbulent concentric round jets[J]. The Canadian Journal of Chemical Engineering, 1996, 74(4): 433-447.DOI: 10.1002/cjce.5450740402
BAŁDYGA J, ORCIUCH W. Closure problem for precipitation[J]. Chemical Engineering Research and Design, 1997, 75(2): 160-170.DOI: 10.1205/026387697523624
LESNIEWSKI T, FRIEDLANDER S K. The effect of turbulence on rates of particle formation by homogeneous nucleation[J]. Aerosol Science and Technology, 1995, 23(2): 174-182.DOI: 10.1080/02786829508965302
LESNIEWSKI T K, FRIEDLANDER S K. Particle nucleation and growth in a free turbulent jet[J]. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 1998, 454(1977): 2477-2504. doi: 10.1098/rspa.1998.0267
DAS S, GARRICK S C. The effects of turbulence on nanoparticle growth in turbulent reacting jets[J]. Physics of Fluids, 2010, 22(10): 103303.DOI: 10.1063/1.3486203
MURFIELD N J, GARRICK S C. The effects of unresolved scalar fluctuations during homogeneous nucleation[J]. Aerosol Science and Technology, 2013, 47(7): 806-817. doi: 10.1080/02786826.2013.791743
MURFIELD N J, PYYKÖNEN J, JOKINIEMI J, et al. The structure of nanoparticle nucleation in planar jets[J]. Journal of Aerosol Science, 2013, 62: 1-14. doi: 10.1016/j.jaerosci.2013.03.003
ZHOU K, ATTILI A, ALSHAARAWI A, et al. Simulation of aerosol nucleation and growth in a turbulent mixing layer[J]. Physics of Fluids, 2014, 26(6): 065106.DOI: 10.1063/1.4884789
GARRICK S C. Growth mechanisms of nanostructured titania in turbulent reacting flows[J]. Journal of Nanotechnology, 2015, 2015: 1-10.DOI: 10.1155/2015/642014
ZHOU K, CHAN T L. Simulation of homogeneous particle nucleation in a free turbulent jet[J]. Aerosol Science and Technology, 2011, 45(8): 973-987. doi: 10.1080/02786826.2011.572935
FAGER A J, LIU J, GARRICK S C. Hybrid simulations of metal particle nucleation: a prioriandaposteriorianalyses of the effects of unresolved scalar interactions on nanoparticle nucleation[J]. Physics of Fluids, 2012, 24(7): 075110.DOI: 10.1063/1.4737660
MURFIELD N J, GARRICK S C. Large eddy simulation and direct numerical simulation of homogeneous nucleation in turbulent wakes[J]. Journal of Aerosol Science, 2013, 60: 21-33. doi: 10.1016/j.jaerosci.2013.01.009
PESMAZOGLOU I, KEMPF A M, NAVARRO-MARTINEZ S. Aerosol nucleation in a turbulent jet using Large Eddy Simulations[J]. Chemical Engineering Science, 2014, 116: 383-397. doi: 10.1016/j.ces.2014.05.022
NEUBER G, KRONENBURG A, STEIN O T, et al. MMC-LES modelling of droplet nucleation and growth in turbulent jets[J]. Chemical Engineering Science, 2017, 167: 204-218. doi: 10.1016/j.ces.2017.04.008
HOUSIADAS C, DROSSINOS Y, LAZARIDIS M. Effect of small-scale turbulent fluctuations on rates of particle formation[J]. Journal of Aerosol Science, 2004, 35(5): 545-559.DOI: 10.1016/j.jaerosci.2003.10.012
RIGOPOULOS S. PDF method for population balance in turbulent reactive flow[J]. Chemical Engineering Science, 2007, 62(23): 6865-6878. doi: 10.1016/j.ces.2007.05.039
GARMORY A, MASTORAKOS E. Aerosol nucleation and growth in a turbulent jet using the Stochastic Fields method[J]. Chemical Engineering Science, 2008, 63(16): 4078-4089. doi: 10.1016/j.ces.2008.05.012
DI VEROLI G Y, RIGOPOULOS S. Modeling of aerosol formation in a turbulent jet with the transported population balance equation-probability density function approach[J]. Physics of Fluids, 2011, 23(4): 043305.DOI: 10.1063/1.3576913
BECKER H A, HOTTEL H C, WILLIAMS G C. Concentration fluctuations in ducted turbulent jets[J]. Symposium (International) on Combustion, 1967, 11(1): 791-798.DOI: 10.1016/S0082-0784(67)80204-2
SPALDING D B. Concentration fluctuations in a round turbulent free jet[J]. Chemical Engineering Science, 1971, 26(1): 95-107.DOI: 10.1016/0009-2509(71)86083-9
SUNDARAM S, COLLINS L R. Spectrum of density fluctuations in a particle-fluid system—i. monodisperse spheres[J]. International Journal of Multiphase Flow, 1994, 20(6): 1021-1037.DOI: 10.1016/0301-9322(94)90052-3
SUNDARAM S, COLLINS L R. Spectrum of density fluctuations in a particlefluid system—II. Polydisperse spheres[J]. International Journal of Multiphase Flow, 1994, 20(6): 1039-1052.DOI: 10.1016/0301-9322(94)90053-1
EATON J K, FESSLER J R. Preferential concentration of particles by turbulence[J]. International Journal of Multiphase Flow, 1994, 20: 169-209.DOI: 10.1016/0301-9322(94)90072-8
NIJMAN E J, MERKUS H G, MARIJNISSEN J C M, et al. Simulations and experiments on number fluctuations in photon-correlation spectroscopy at low particle concentrations[J]. AppliedOptics, 2001, 40(24): 4058-4063
XIE Z T, HAYDEN P, ROBINS A G, et al. Modelling extreme concentrations from a source in a turbulent flow over a rough wall[J]. Atmospheric Environment, 2007, 41(16): 3395-3406.DOI: 10.1016/j.atmosenv.2006.12.022
KOCH D L, POPE S B. Coagulation-induced particle-concentration fluctuations in homogeneous, isotropic turbulence[J]. Physics of Fluids, 2002, 14(7): 2447.DOI: 10.1063/1.1478562
GARRICK S C. Effects of turbulent fluctuations on nanoparticle coagulation in shear flows[J]. Aerosol Science and Technology, 2011, 45(10): 1272-1285. doi: 10.1080/02786826.2011.589482[LinkOut]
ZHOU K, ATTILI A, BISETTI F. Direct numerical simulation of aerosol growth processes in a turbulent mixing layer[C]// Seventh International Conference on Computation Fluid Dynamics (ICCFD7), Big Island, Hawaii, 2012. ICCFD7-1504.
PESMAZOGLOU I, KEMPF A M, NAVARRO-MARTINEZ S. Large eddy simulation of particle aggregation in turbulent jets[J]. Journal of Aerosol Science, 2017, 111: 1-17. doi: 10.1016/j.jaerosci.2017.06.002
GELBARD F, TAMBOUR Y, SEINFELD J H. Sectional representations for simulating aerosol dynamics[J]. Journal of Colloid and Interface Science, 1980, 76(2): 541-556.DOI: 10.1016/0021-9797(80)90394-X
HOUNSLOW M J, RYALL R L, MARSHALL V R. A discretized population balance for nucleation, growth, and aggregation[J]. AIChEJournal, 1988, 34(11): 1821-1832.DOI: 10.1002/aic.690341108
PRATSINIS S E. Simultaneous nucleation, condensation, and coagulation in aerosol reactors[J]. Journal of Colloid and Interface Science, 1988, 124(2): 416-427.DOI: 10.1016/0021-9797(88)90180-4
MCGRAW R, LENG L, ZHU W, et al. Aerosol dynamics using the quadrature method of moments: comparing several quadrature schemes with particle-resolved simulation[J]. Journal of Physics: Conference Series, 2008, 125: 012020.DOI: 10.1088/1742-6596/125/1/012020
YU M Z, LIN J Z. Taylor-expansion moment method for agglomerate coagulation due to Brownian motion in the entire size regime[J]. Journal of Aerosol Science, 2009, 40(6): 549-562. doi: 10.1016/j.jaerosci.2009.03.001
LIU Y H, LIN J Z. Research on method of momens of particulate parameter distribution in multiphase flow[J]. ActaAerodynamicaSinica, 2009, 27(6): 656-663. (in Chinese)
YU M Z, LIN J Z, CAO JJ, et al. An analytical solution for the population balance equation using a moment method[J]. Particuology, 2015, 18: 194-200.DOI: 10.1016/j.partic.2014.06.006
LI D Y, LI Z P, GAO Z M. Quadrature-based moment methods for the population balance equation: an algorithm review[J]. Chinese Journal of Chemical Engineering, 2019, 27(3): 483-500.DOI: 10.1016/j.cjche.2018.11.028
SEWERIN F, RIGOPOULOS S. An LES-PBE-PDF approach for modeling particle formation in turbulent reacting flows[J]. Physics of Fluids, 2017, 29(10): 105105.DOI: 10.1063/1.5001343
SEWERIN F, RIGOPOULOS S. An LES-PBE-PDF approach for predicting the soot particle size distribution in turbulent flames[J]. Combustion and Flame, 2018, 189: 62-76.DOI: 10.1016/j.combustflame.2017.09.045
JIANG X, ZHOU K, XIAO M, et al. Stochastic simulation of soot formation evolution in counterflow diffusion flames[J]. Journal of Nanotechnology, 2018, 2018: 1-8.DOI: 10.1155/2018/9479582
ZHOU K, JIANG X, CHAN T L. Error analysis in stochastic solutions of population balance equations[J]. Applied Mathematical Modelling, 2020, 80: 531-552.DOI: 10.1016/j.apm.2019.11.045
ZHOU K, HE Z. Monte Carlo simulation of aerosol evolution in a planar mixing layer[J]. International Journal of Numerical Methods for Heat Fluid Flow, 2014, 24(8): 1769-1781.DOI: 10.1108/hff-04-2013-0123
ZHOU K, HE Z, XIAO M, et al. Parallel Monte Carlo simulation of aerosol dynamics[J]. Advances in Mechanical Engineering, 2014, 6: 435936.DOI: 10.1155/2014/435936
AKRIDIS P, RIGOPOULOS S. Modelling of Soot formation in a Turbulent Diffusion flame using a comprehensive CFD- PBE model with full chemistry[C]//Proceedings of the European Combustion Meeting, 2015.
LIU S Y, CHAN T L. A stochastically weighted operator splitting Monte Carlo (SWOSMC) method for the numerical simulation of complex aerosol dynamic processes[J]. International Journal of Numerical Methods for Heat Fluid Flow, 2017, 27(1): 263-278.DOI: 10.1108/hff-08-2015-0335
LIU H M, CHAN T L. A coupled LES-Monte Carlo method for simulating aerosol dynamics in a turbulent planar jet[J]. International Journal of Numerical Methods for Heat Fluid Flow, 2019, 30(2): 855-881.DOI: 10.1108/hff-11-2018-0657
SAFFMAN P G, TURNER J S. On the collision of drops in turbulent clouds[J]. Journal of Fluid Mechanics, 1956, 1(1): 16.DOI: 10.1017/s0022112056000020
LEVIN L M, SEDUNOV Y S. The theoretical model of the drop spectrum formation process in clouds[J]. Pure and Applied Geophysics, 1968, 69(1): 320-335.DOI: 10.1007/BF00874922
LESNIEWSKI T K. Particle nucleation and growth in turbulent jets[D]. Los Angeles: University of California, 1997.
LUNDGREN T S. Distribution functions in the statistical theory of turbulence[J]. Physics of Fluids, 1967, 10(5): 969.DOI: 10.1063/1.1762249
WARSHAW M. Cloud droplet coalescence: statistical foundations and a one-dimensional sedimentation Model1[J]. Journal of the Atmospheric Sciences, 1967, 24(3): 278-286.DOI: 10.1175/1520-0469(1967)0240278:cdcsfa2.0.co;2
BECKER H A, HOTTEL H C, WILLIAMS G C. The nozzle-fluid concentration field of the round, turbulent, free jet[J]. Journal of Fluid Mechanics, 1967, 30(2): 285-303.DOI: 10.1017/s0022112067001430
BECKER H A, HOTTEL H C, WILLIAMS G C. On the light-scatter technique for the study of turbulence and mixing[J]. Journal of Fluid Mechanics, 1967, 30(2): 259-284.DOI: 10.1017/s0022112067001429
GRANDMAISON E W, RATHGEBER D E, BECKER H A. Some characteristics of concentration fluctuations in free turbulent jets[J]. The Canadian Journal of Chemical Engineering, 1982, 60(2): 212-219.DOI: 10.1002/cjce.5450600203
ELGHOBASHI S E, PUN W M, SPALDING D B. Concentration fluctuations in isothermal turbulent confined coaxial jets[J]. Chemical Engineering Science, 1977, 32(2): 161-166.DOI: 10.1016/0009-2509(77)80101-2
ELPERIN T, KLEEORIN N, ROGACHEVSKII I. Dynamics of the passive scalar in compressible turbulent flow: Large-scale patterns and small-scale fluctuations[J]. Physical Review E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1995, 52(3): 2617-2634.DOI: 10.1103/physreve.52.2617
ELPERIN T, KLEEORIN N, ROGACHEVSKII I I. Self-excitation of fluctuations of inertial particle concentration in turbulent fluid flow[J]. Physical Review Letters, 1996, 77(27): 5373-5376.DOI: 10.1103/PhysRevLett.77.5373
SUNDARAM S, COLLINS L R. Collision statistics in an isotropic particle-laden turbulent suspension. Part 1. Direct numerical simulations[J]. Journal of Fluid Mechanics, 1997, 335: 75-109.DOI: 10.1017/s0022112096004454
WANG L P, WEXLER A S, ZHOU Y. Statistical mechanical descriptions of turbulent coagulation[J]. Physics of Fluids, 1998, 10(10): 2647-2651.DOI: 10.1063/1.869777
READE W C, COLLINS L R. Effect of preferential concentration on turbulent collision rates[J]. Physics of Fluids, 2000, 12(10): 2530.DOI: 10.1063/1.1288515
WANG L P, WEXLER A S, ZHOU Y. Statistical mechanical description and modelling of turbulent collision of inertial particles[J]. Journal of Fluid Mechanics, 2000, 415: 117-153.DOI: 10.1017/s0022112000008661
ZHOU Y, WEXLER A S, WANG L P. Modelling turbulent collision of bidisperse inertial particles[J]. Journal of Fluid Mechanics, 2001, 433: 77-104.DOI: 10.1017/s0022112000003372
ZAICHIK L I, ALIPCHENKOV V M. Refinement of the probability density function model for preferential concentration of aerosol particles in isotropic turbulence[J]. Physics of Fluids, 2007, 19(11): 113308.DOI: 10.1063/1.2813044
WANG L P, AYALA O, KASPRZAK S E, et al. Theoretical formulation of collision rate and collision efficiency of hydrodynamicallyinteracting cloud droplets in turbulent atmosphere[J]. Journal of the Atmospheric Sciences, 2005, 62(7): 2433-2450.DOI: 10.1175/jas3492.1
CHUN J, KOCH D L, RANI S L, et al. Clustering of aerosol particles in isotropic turbulence[J]. Journal of Fluid Mechanics, 2005, 536: 219-251.DOI: 10.1017/s0022112005004568
MONCHAUX R, BOURGOIN M, CARTELLIER A. Analyzing preferential concentration and clustering of inertial particles in turbulence[J]. International Journal of Multiphase Flow, 2012, 40: 1-18.DOI: 10.1016/j.ijmultiphaseflow.2011.12.001
GUSTAVSSON K, MEHLIG B. Statistical models for spatial patterns of heavy particles in turbulence[J]. Advances in Physics, 2016, 65(1): 1-57. doi: 10.1080/00018732.2016.1164490
YANG H L, LIN J Z, CHAN T. Effect of fluctuating aerosol concentration on the aerosol distributions in a turbulent jet[J]. Aerosol and Air Quality Research, 2020, 20(7): 1629-1639.DOI: 10.4209/aaqr.2019.11.0556
LIN J Z, PAN X J, YIN Z Q, et al. Solution of general dynamic equation for nanoparticles in turbulent flow considering fluctuating coagulation[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1275-1288.DOI: 10.1007/s10483-016-2131-9
KHAIN A, PINSKY M, ELPERIN T, et al. Critical comments to results of investigations of drop collisions in turbulent clouds[J]. Atmospheric Research, 2007, 86(1): 1-20. doi: 10.1016/j.atmosres.2007.05.003
TU C X, YIN Z Q, LIN J Z, et al. A review of experimental techniques for measuring micro- to nano-particle-laden gas flows[J]. Applied Sciences, 2017, 7(2): 120.DOI: 10.3390/app7020120
ZHU J Z, QI H Y, WANG J S. Nanoparticle dispersion and coagulation in a turbulent round jet[J]. International Journal of Multiphase Flow, 2013, 54: 22-30. doi: 10.1016/j.ijmultiphaseflow.2013.02.004
YIN Z Q, LIN J Z, QIAN L J. An experimental study on the characteristics of nanoparticles emission from a vehicle[J]. Advanced Materials Research, 2012, 508: 180-183.DOI: 10.4028/www.scientific.net/amr.508.180
CHOWDHURY S, BOYETTE W R, ROBERTS W L. Time-averaged probability density functions of soot nanoparticles along the centerline of a piloted turbulent diffusion flame using a scanning mobility particle sizer[J]. Journal of Aerosol Science, 2017, 106: 56-67.DOI: 10.1016/j.jaerosci.2016.10.012
BELUT E, CHRISTOPHE T. A new experimental dataset to validate CFD models of airborne nanoparticlesagglomeration[C]//9th International Conference on Multiphase Flow, Firenze, Italy, 2016.
TU C X, LIN J Z, YIN Z Q, et al. Powder disperser for the continuous aerosolizing of dry powdered nanoparticles[J]. Advanced Powder Technology, 2017, 28(11): 2848-2858. doi: 10.1016/j.apt.2017.08.011
YUAN F Y, TU C X, YU J F, et al. High-pressure dispersion of nanoparticle agglomerates through a continuous aerosol disperser[J]. Applied Nanoscience, 2019, 9(8): 1857-1868. DOI:10.1007/s13204-019-00991-w
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