1 |
Kumar S, Ramkrishna D. On the solution of population balance equations by discretization(Ⅰ): A fixed pivot technique[J]. Chem. Eng. Sci., 1996, 51: 1311-1332.
|
2 |
Marchisio D, Fox R. Solution of population balance equations using the direct quadrature method of moments[J]. Journal of Aerosol Science, 2005, 36: 43-73.
|
3 |
Attarakih M, Hlawitschka M, Abu-Khader M. CFD-population balance modeling and simulation of coupled hydrodynamics and mass transfer in liquid extraction columns[J]. Appl. Math. Model, 2015, 39: 5105-5120.
|
4 |
王凯, 易诗婷, 周倩倩, 等. 微通道内纳米颗粒对液滴聚并的影响规律[J]. 化工学报, 2016, 67(2): 469-475.
|
|
Wang K, Yi S T, Zhou Q Q, et al. Effect of nano-particles on droplet coalescence in microchannel device[J]. CIESC Journal, 2016, 67(2): 469-475.
|
5 |
Coulaloglou C A, Tavlarides L L. Description of interaction processes in agitated liquid-liquid dispersions[J]. Chem. Eng. Sci., 1977, 32: 1289-1297.
|
6 |
Coulaloglou C A. Dispersed phase interactions in an agitated flow vessel[D]. Chicago: Illinois Institute of Technology, 1975.
|
7 |
Coulaloglou C A, Tavlarides L L. Drop size distributions and coalescence frequencies of liquid-liquid dispersions in flow vessels[J]. AIChE Journal, 1976, 22: 289-297.
|
8 |
Luo H, Svendsen H F. Theoretical model for drop and bubble breakup in turbulent dispersions[J]. AIChE Journal, 1996, 42: 1225-1233.
|
9 |
Prince M J, Blanch H W. Bubble coalescence and break-up in air-sparged bubble columns[J]. AIChE Journal, 1990, 36: 1485-1499.
|
10 |
Sovova H. Breakage and coalescence of drops in a batch stirred vessel(Ⅱ): Comparison of model and experiments[J]. Chem. Eng. Sci., 1981, 36: 1567-1573.
|
11 |
Lee C H. Bubble breakup and coalescence in turbulent gas-liquid dispersions[J]. Chemical Engineering Communications, 1987, 59: 65-84.
|
12 |
Tsouris C, Tavlarides L L. Breakage and coalescence models for drops in turbulent dispersions[J]. AIChE Journal, 1994, 40: 395-406.
|
13 |
Lehr F, Mewes D. A transport equation for the interfacial area density applied to bubble columns[J]. Chem. Eng. Sci., 1999, 56: 1159-1166.
|
14 |
Venneker B C H. Population balance modeling of aerated stirred vessels based on CFD[J]. AIChE Journal, 2002, 48: 673-685.
|
15 |
Howarth W J. Coalescence of drops in a turbulent flow field[J]. Chem. Eng. Sci., 1964, 19: 33-38.
|
16 |
Park J Y, Blair L M. The effect of coalescence on drop size distribution in an agitated liquid-liquid dispersion[J]. Chem. Eng. Sci., 1975, 30: 1057-1064.
|
17 |
Kuboi R. Collision and coalescence of dispersed drops in turbulent liquid flow[J]. Journal of Chemical Engineering of Japan, 1972, 5: 423-424.
|
18 |
Lehr F. Bubble-size distributions and flow fields in bubble columns[J]. AIChE Journal, 2002, 48: 2426-2443.
|
19 |
Doubliez L. The drainage and rupture of a non-foaming liquid film formed upon bubble impact with a free surface[J]. International Journal of Multiphase Flow, 1991, 17: 783-803.
|
20 |
Das P K, Kumar R. Coalescence of drops in stirred dispersion: a white noise model for coalescence[J]. Chem. Eng. Sci., 1987, 42: 213-220.
|
21 |
魏超, 罗和安, 王良芥. 两流体颗粒间最小液膜厚度的靠近-减薄耦合模型[J]. 化工学报, 2004, 55(5): 732-736.
|
|
Wei C, Luo H A, Wang L J. Model of minimum thickness of liquid film between two fluid particles by coupling of approaching and thinning[J]. Journal of Chemical Industry and Engineering(China), 2004, 55(5): 732-736.
|
22 |
Liao Y, Lucas D. A literature review on mechanisms and models for the coalescence process of fluid particles[J]. Chem. Eng. Sci., 2010, 65: 2851-2864.
|
23 |
Liao Y, Lucas D. A literature review of theoretical models for drop and bubble breakup in turbulent dispersions[J]. Chem. Eng. Sci., 2009, 64: 3389-3406.
|
24 |
李少伟, 景山, 张琦, 等. 萃取柱内液-液两相流CFD-PBM模拟研究进展[J]. 过程工程学报, 2012, 12(4): 702-711.
|
|
Li S W, Jing S, Zhang Q, et al. Advances in simulation of liquid-liquid two-phase flow in extraction columns with CFD-PBM[J]. The Chinese Journal of Process Engineering, 2012, 12(4): 702-711.
|
25 |
Ata S, Pughb R J, Jamesona G J. The influence of interfacial ageing and temperature on the coalescence of oil droplets in water[J]. Colloids and Surfaces A: Physicochem. Eng. Aspects, 2011, 374: 96-101.
|
26 |
Stover R L, Tobias C W, Denn M M. Bubble coalescence dynamics[J]. AIChE Journal, 1997, 43: 2385-2392.
|
27 |
Yesenia S M, Ghislain B, Ata S. Analysis of bubble coalescence dynamics and postrupture oscillation of capillary-held bubbles in water[J]. Ind. Eng. Chem. Res., 2017, 56:14781-14792.
|
28 |
Bournival G, Ata S, Karakashev S I. An investigation of bubble coalescence and post-rupture oscillation in non-ionic surfactant solutions using high-speed cinematography[J]. Colloid Interface Science, 2014, 414: 50-58.
|
29 |
Miller C A, Scriven L E. The oscillations of a fluid droplet immersed in another fluid[J]. Journal of Fluid Mechanics, 1968, 32: 417-435.
|
30 |
Lu H L, Apfel R E. Shape oscillations of drops in the presence of surfactants[J]. Journal of Fluid Mechanics, 1991, 222: 351-368.
|
31 |
Green D W, Perry R H. Perry s Chemical Engineers Handbook[M]. 8th ed. New York: The McGraw-Hill Companies, 2008:50-176.
|
32 |
Ata S. The detachment of particles from coalescing bubble pairs[J]. Colloid Interface Sci., 2009, 338: 558-565.
|
33 |
Tsamopoulos J A, Brown R A. Nonlinear oscillations of inviscid drops and bubbles[J]. Journal of Fluid Mechanics, 1983, 127: 519-537.
|
34 |
Abi C N, Vejražka J, Masbernat O. Shape oscillations of an oil drop rising in water: effect of surface contamination[J]. Journal of Fluid Mechanics, 2012, 702: 533-542.
|