Deriving fluid-particle correlation closures for Eulerian two-fluid models through use of Langevin equations

European Journal of Mechanics - B/Fluids - Tập 30 - Trang 275-280 - 2011
Tobias Strömgren1, Geert Brethouwer1, Gustav Amberg1, Arne V. Johansson1
1Linné FLOW Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden

Tài liệu tham khảo

Wilcox, 1993 Hinze, 1959 Vance, 2006, Properties of the particle velocity field in gas–solid turbulent channel flow, Phys. Fluids, 18, 063302-1, 10.1063/1.2212967 Young, 1997, A theory of particle deposition in turbulent pipe flow, J. Fluid Mech., 340, 129, 10.1017/S0022112097005284 Guha, 1997, A unified Eulerian theory of turbulent deposition to smooth and rough surfaces, J. Aerosol Sci., 28, 1517, 10.1016/S0021-8502(97)00028-1 Johansen, 1991, The deposition of particles on vertical walls, Int. J. Multiph. Flow, 17, 355, 10.1016/0301-9322(91)90005-N Li, 2001, Numerical simulation of particle-laden turbulent channel flow, Phys. Fluids, 13, 2957, 10.1063/1.1396846 Zhang, 2001, Particle-gas turbulence interactions in a kinetic theory approach to granular flows, Int. J. Multiph. Flow, 27, 1945, 10.1016/S0301-9322(01)00039-8 T. Strömgren, G. Brethouwer, G. Amberg, A.V. Johansson, Modelling of turbulent gas-particle flows with focus on two-way coupling effects on turbophoresis, AIChE J. (2011) (submitted for publication). Pope, 1994, On the relationship between stochastic Lagrangian models of turbulence and second-order closure, Phys. Fluids, 6, 973, 10.1063/1.868329 Pope, 2000 Marstorp, 2007, A stochastic subgrid model with application to turbulent flow and scalar mixing, Phys. Fluids, 19, 035107, 10.1063/1.2711477 Carvalho, 2007, An iterative Langevin solution for turbulent dispersion in the atmosphere, J. Comput. Appl. Math., 206, 534, 10.1016/j.cam.2006.08.007 Anfossi, 2010, A new Lagrangian particle model for the simulation of dense gas dispersion, Atmos. Environ., 44, 753, 10.1016/j.atmosenv.2009.11.041 Gopalakrishnan, 1997, A Lagrangian particle model for marginally heavy gas dispersion, Atmos. Environ., 31, 3369, 10.1016/S1352-2310(97)00145-3 Thomson, 1990, A stochastic model for the motion of particle pairs in isotropic high-Reynolds-number turbulence, and its application to the problem of concentration variance, J. Fluid Mech., 210, 113, 10.1017/S0022112090001239 Minier, 2001, The PDF approach to turbulent polydispersed two-phase flows, Phys. Rep., 352, 1, 10.1016/S0370-1573(01)00011-4 Peirano, 2002, Probabilistic formalism and hierachy of models for polydispersed turbulent two-phase flows, Phys. Rev. E, 65, 046301-1, 10.1103/PhysRevE.65.046301 Peirano, 2006, Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows, Prog. Energy Combust. Sci., 32, 315, 10.1016/j.pecs.2005.07.002 Minier, 2004, PDF model based on Langevin equation for polydispersed turbulent two-phase flows applied to a bluff-body gas–solid flow, Phys. Fluids, 16, 2419, 10.1063/1.1718972 Chibbaro, 2008, Langevin PDF simulation of particle deposition in a turbulent flow, J. Aerosol Sci., 39, 555, 10.1016/j.jaerosci.2008.03.002 Guingo, 2008, A stochastic model of coherent structures for particle deposition in turbulent flows, Phys. Fluids, 20, 053303-1, 10.1063/1.2908934 B. Oesterlé, A. Volpi, A stochastic process to predict pair dispersion of inertial particles and cluster formation in isotropic turbulence, in: K. Hanjalić, Y. Nagano, S. Jakirlić, (Eds.), Proceedings of the Sixth International Symposium On Turbulence, Heat and Mass Transfer Rome, 2009, pp. 623–627. Øksendal, 1998 J. Goodman, K.S. Moon, A. Szepessy, R. Tempone, G. Zouraris, Stochastic and partial differential equations with adapted numerics, Tech. Rep., Department of Numerical Analysis, Royal Institute of Technology, Stockholm Sweden, 2006. Peirano, 1998, Fundamentals of turbulent gas–solid flows applied to circulating fluidized bed combustion, Prog. Energy Combust. Sci., 24, 259, 10.1016/S0360-1285(98)00002-1 Hadinoto, 2004, Effect of interstitial fluid on particle–particle interactions in kinetic theory approach of dilute turbulent fluid-particle flow, Ind. Eng. Chem. Res., 43, 3604, 10.1021/ie030478m Sommerfeld, 2000, Validation of a stochastic Lagrangian modelling approach for inter-particle collisions in homogeneous isotropic turbulence, Int. J. Multiph. Flow, 27, 1829, 10.1016/S0301-9322(01)00035-0 Wang, 2000, Statistical mechanical description and modelling of turbulent collision of inertial particles, J. Fluid Mech., 415, 117, 10.1017/S0022112000008661 T. Strömgren, G. Brethouwer, G. Amberg, A.V. Johansson, A study of particle feedback in turbulent gas-particle flows, in: J.S. Szymd, J. Spałek, T.A. Kowalewski, (Eds.), 7th World Conference on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics Krakow, July 2009, pp. 1633–1640. Kulick, 1994, Particle response and turbulence modification in fully developed channel flow, J. Fluid Mech., 277, 109, 10.1017/S0022112094002703