A quantitative and generalized assessment of bubble-induced turbulence models for gas-liquid systems
Tài liệu tham khảo
Antal, 1991, Analysis of phase distribution in fully developed laminar bubbly two-phase flow, Int. J. Multiph. Flow, 17, 635, 10.1016/0301-9322(91)90029-3
Arnold, 1989, Derivation of constitutive equations for interfacial force and Reynolds stress for a suspension of spheres using ensemble cell averaging, Chem. Eng. Commun., 86, 43, 10.1080/00986448908940362
Besnard, 1988, Turbulence in multiphase flow, Int. J. Multiph. Flow, 14, 679, 10.1016/0301-9322(88)90068-7
Bolotnov, 2008, Turbulent cascade modeling of single and bubbly two-phase turbulent flows, Int. J. Multiph. Flow, 34, 1142, 10.1016/j.ijmultiphaseflow.2008.06.006
Bolotnov, 2008, A spectral turbulent cascade model for single- and two-phase uniform shear flows, J. Turbul., 9, 10.1080/14685240802261102
Burns, 2004, The favre averaged drag model for turbulent dispersion in Eulerian multi-phase flows
Colombo, 2015, Multiphase turbulence in bubbly flows: Rans simulations, Int. J. Multiph. Flow, 77, 222, 10.1016/j.ijmultiphaseflow.2015.09.003
Drew, 1999
Elghobashi, 1983, A two-equation turbulence model for two-phase flows, Phys. Fluids, 26, 931, 10.1063/1.864243
Frank, 2008, Validation of cfd models for mono- and polydisperse air–water two-phase flows in pipes, Nucl. Eng. Des., 238, 647, 10.1016/j.nucengdes.2007.02.056
Ishii, 2011
Jones, 1972, The prediction of laminarization with a two-equation model of turbulence, Int. J. Heat Mass Transfer, 15, 301, 10.1016/0017-9310(72)90076-2
Kataoka, 1989, Basic equations of turbulence in gas-liquid two-phase flow, Int. J. Multiph. Flow, 15, 843, 10.1016/0301-9322(89)90045-1
Kataoka, 1993, Prediction of turbulence suppression and turbulence modeling in bubbly two-phase flow, Nucl. Eng. Des., 141, 145, 10.1016/0029-5493(93)90099-U
Khan, 2017, Comparison of turbulence models for bubble column reactors, Chem. Eng. Sci., 164, 34, 10.1016/j.ces.2017.01.023
Laborde-Boutet, 2009, Cfd simulation of bubble column flows: investigations on turbulence models in rans approach, Chem. Eng. Sci., 64, 4399, 10.1016/j.ces.2009.07.009
Lahey, 2005, The simulation of multidimensional multiphase flows, Nucl. Eng. Des., 235, 1043, 10.1016/j.nucengdes.2005.02.020
Lance, 1991, Turbulence in the liquid phase of a uniform bubbly air-water flow, J. Fluid Mech., 222, 95, 10.1017/S0022112091001015
Launder, 1974, Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc, Lett. Heat Mass Transfer, 1, 131, 10.1016/0094-4548(74)90150-7
Launder, 1974, The numerical computation of turbulent flows, Comput. Methods Appl. Mech. Eng., 3, 269, 10.1016/0045-7825(74)90029-2
Lee, 1989, The prediction of two-phase turbulence and phase distribution using a k-∊model, Jpn. J. Multiphase Flow, 3, 335, 10.3811/jjmf.3.335
Liu, 1989
Liu, 1998, The role of bubble size on liquid phase turbulent structure in two-phase bubbly flows
Lopez de Bertodano, 1994, Development of a k-∊model for bubbly two-phase flow, J. Fluids Eng., 116, 128, 10.1115/1.2910220
Lopez de Bertodano, 1990, The prediction of two-phase turbulence and phase distribution phenomena using a Reynolds stress model, J. Fluids Eng., 112, 107, 10.1115/1.2909357
Lubchenko, 2018, A more fundamental wall lubrication force from turbulent dispersion regularization for multiphase cfd applications, Int. J. Multiph. Flow, 98, 36, 10.1016/j.ijmultiphaseflow.2017.09.003
Ma, 2017, Direct numerical simulation-based Reynolds-averaged closure for bubble-induced turbulence, Phys. Rev. Fluids, 2, 034301, 10.1103/PhysRevFluids.2.034301
Magolan, 2018
Martínez Mercado, 2010, On bubble clustering and energy spectra in pseudo-turbulence, J. Fluid Mech., 650, 287, 10.1017/S0022112009993570
Michiyoshi, 1986, Turbulence in two-phase bubbly flow, Nucl. Eng. Des., 95, 253, 10.1016/0029-5493(86)90052-X
Morel, C., 1997. Turbulence modeling and first numerical simulation in turbulent two-phase flows. Technical Report. CEA Grenoble, France.
Nigmatulin, 1979, Spatial averaging in the mechanics of heterogeneous and dispersed systems, Int. J. Multiph. Flow, 5, 353, 10.1016/0301-9322(79)90013-2
Politano, 2003, A model for turbulent polydisperse two-phase flow in vertical channels, Int. J. Multiph. Flow, 29, 1153, 10.1016/S0301-9322(03)00065-X
Pope, 2000
Riboux, 2010, Experimental characterization of the agitation generated by bubbles rising at high Reynolds number, J. Fluid Mech., 643, 509, 10.1017/S0022112009992084
Rodi, W., 1984. Turbulence Models and Their Application in Hydraulics.
Roghair, 2011, Energy spectra and bubble velocity distributions in pseudo-turbulence: numerical simulations vs. experiments, Int. J. Multiph. Flow, 37, 1093, 10.1016/j.ijmultiphaseflow.2011.07.004
Rzehak, 2013, Cfd modeling of bubble-induced turbulence, Int. J. Multiph. Flow, 55, 138, 10.1016/j.ijmultiphaseflow.2013.04.007
Santarelli, 2015, Direct numerical simulations of spherical bubbles in vertical turbulent channel flow, Int. J. Multiph. Flow, 75, 174, 10.1016/j.ijmultiphaseflow.2015.05.007
Santarelli, 2016, Direct numerical simulations of spherical bubbles in vertical turbulent channel flow, Int. J. Multiphase Flow, 81, 27, 10.1016/j.ijmultiphaseflow.2016.01.004
Sato, 1981, Momentum and heat transfer in two-phase bubble flow—i. Theory, Int. J. Multiph. Flow, 7, 167, 10.1016/0301-9322(81)90003-3
Sato, 1975, Liquid velocity distribution in two-phase bubble flow, Int. J. Multiph. Flow, 2, 79, 10.1016/0301-9322(75)90030-0
Serizawa, 1975, Turbulence structure of air-water bubbly flow—ii. Local properties, Int. J. Multiph. Flow, 2, 235, 10.1016/0301-9322(75)90012-9
Shaver, 2015, Modeling of interfacial forces for bubbly flows in subcooled boiling conditions, 1368
Sugrue, 2017, Assessment of a simplified set of momentum closure relations for low volume fraction regimes in star-ccm+ and openfoam, Ann. Nucl. Energy, 110, 79, 10.1016/j.anucene.2017.05.059
Sugrue, 2017
Tomiyama, 1998, Drag coefficients of single bubbles under normal and micro gravity conditions, JSME Int. J. Ser. B, 41, 472, 10.1299/jsmeb.41.472
Troshko, 2001, A two-equation turbulence model of turbulent bubbly flows, Int. J. Multiph. Flow, 27, 1965, 10.1016/S0301-9322(01)00043-X
Vaidheeswaran, 2017, Bubble-induced turbulence modeling for vertical bubbly flows, Int. J. Heat Mass Transfer, 115, 741, 10.1016/j.ijheatmasstransfer.2017.08.075
Varaksin, 2000, Effect of particles on the turbulent intensity of a carrier phase for gas-solid flow
Wang, 1985
Wang, 1987, 3-d turbulence structure and phase distribution measurements in bubbly two-phase flows, Int. J. Multiph. Flow, 13, 327, 10.1016/0301-9322(87)90052-8
Weller, 1998, A tensorial approach to computational continuum mechanics using object-oriented techniques, Comput. Phys., 12, 620, 10.1063/1.168744
Yeoh, 2010