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1

Saroka, Mary D., and Nasser Ashgriz. "Separation Criteria for Off-Axis Binary Drop Collisions." Journal of Fluids 2015 (May 25, 2015): 1–15. http://dx.doi.org/10.1155/2015/405696.

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Off-axis collisions of two equal size droplets are investigated numerically. Various governing processes in such collisions are discussed. Several commonly used theoretical models that predict the onset of separation after collision are evaluated based on the processes observed numerically. A separation criterion based on droplet deformation is found. The numerical results are used to assess the validity of some commonly used phenomenological models for drop separation after collision. Also, a critical Weber number for the droplet separation after grazing collision is reported. The effect of R
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2

Qian, Lijuan, Jingqi Liu, Hongchuan Cong, Fang Zhou, and Fubing Bao. "A Numerical Investigation on the Collision Behavior of Unequal-Sized Micro-Nano Droplets." Nanomaterials 10, no. 9 (2020): 1746. http://dx.doi.org/10.3390/nano10091746.

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Micro-nano droplet collisions are fundamental phenomena in the applications of nanocoating, nano spray, and microfluidics. Detailed investigations of the process of the droplet collisions under higher Weber are still lacking when compared with previous research studies under a low Weber number below 120. Collision dynamics of unequal-sized micro-nano droplets are simulated by a coupled level-set and volume of fluid (CLSVOF) method with adaptive mesh refinement (AMR). The effects of the size ratio (from 0.25 to 0.75) and different initial collision velocities on the head-on collision process of
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3

Wang, Yiting, Lijuan Qian, Zhongli Chen, and Fang Zhou. "Coalescence of Binary Droplets in the Transformer Oil Based on Small Amounts of Polymer: Effects of Initial Droplet Diameter and Collision Parameter." Polymers 12, no. 9 (2020): 2054. http://dx.doi.org/10.3390/polym12092054.

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In engineering applications, the coalescence of droplets in the oil phase dominates the efficiency of water-oil separation. To improve the efficiency of water-oil separation, many studies have been devoted to exploring the process of water droplets colliding in the oil phase. In this paper, the volume of fluid (VOF) method is employed to simulate the coalescence of water droplets in the transformer oil based on small amounts of polymer. The influences of the initial diameter and collision parameter of two equal droplets on droplet deformation and coalescence time are investigated. The time evo
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4

Ahmed, Fatma, Nobuyuki Kawahara, and Eiji Tomita. "Binary collisions and coalescence of droplets in low-pressure fuel injector." Thermal Science, no. 00 (2020): 185. http://dx.doi.org/10.2298/tsci191120185a.

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The phenomena of binary collisions and coalescence of droplets was investigated from experimental studies but still are missing from real applications such as from fuel injector. The main purpose of the current study is to investigate the phenomena of binary collisions and coalescence of droplets from a practical port fuel injector (PFI). To accomplish this, direct microscopic images are taken from high-speed video camera coupled with a long-distance microscope and Barlow lens using the backlighting method. Experimental optimization of the spatial resolution and the depth -of -field of the lon
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5

Qian, Lijuan, Hongchuan Cong, and Chenlin Zhu. "A Numerical Investigation on the Collision Behavior of Polymer Droplets." Polymers 12, no. 2 (2020): 263. http://dx.doi.org/10.3390/polym12020263.

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Binary droplet collisions are a key mechanism in powder coatings production, as well as in spray combustion, ink-jet printing, and other spray processes. The collision behavior of the droplets using Newtonian and polymer liquids is studied numerically by the coupled level-set and volume of fluid (CLSVOF) method and adaptive mesh refinement (AMR). The deformation process, the internal flow fields, and the energy evolution of the droplets are discussed in detail. For binary polymer droplet collisions, compared with the Newtonian liquid, the maximum deformation is promoted. Due to the increased v
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6

Kropotova, Svetlana, and Pavel Strizhak. "Collisions of Liquid Droplets in a Gaseous Medium under Conditions of Intense Phase Transformations: Review." Energies 14, no. 19 (2021): 6150. http://dx.doi.org/10.3390/en14196150.

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The article presents the results of theoretical and experimental studies of coalescence, disruption, and fragmentation of liquid droplets in multiphase and multicomponent gas-vapor-droplet media. Highly promising approaches are considered to studying the interaction of liquid droplets in gaseous media with different compositions and parameters. A comparative analysis of promising technologies is carried out for the primary and secondary atomization of liquid droplets using schemes of their collision with each other. The influence of a range of factors and parameters on the collision processes
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7

QIAN, J., and C. K. LAW. "Regimes of coalescence and separation in droplet collision." Journal of Fluid Mechanics 331 (January 25, 1997): 59–80. http://dx.doi.org/10.1017/s0022112096003722.

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An experimental investigation of the binary droplet collision dynamics was conducted, with emphasis on the transition between different collision outcomes. A series of time-resolved photographic images which map all the collision regimes in terms of the collision Weber number and the impact parameter were used to identify the controlling factors for different outcomes. The effects of liquid and gas properties were studied by conducting experiments with both water and hydrocarbon droplets in environments of different gases (air, nitrogen, helium and ethylene) and pressures, the latter ranging f
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8

Pan, Yu, and Kazuhiko Suga. "Numerical simulation of binary liquid droplet collision." Physics of Fluids 17, no. 8 (2005): 082105. http://dx.doi.org/10.1063/1.2009527.

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9

Li, Xing Gang, and Udo Fritsching. "Numerical Investigation of Binary Droplet Collisions in All Relevant Collision Regimes." Journal of Computational Multiphase Flows 3, no. 4 (2011): 207–24. http://dx.doi.org/10.1260/1757-482x.3.4.207.

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10

HE, ChengMing, and Peng ZHANG. "Dynamics of binary droplet collision in gaseous environment." SCIENTIA SINICA Physica, Mechanica & Astronomica 47, no. 7 (2017): 070013. http://dx.doi.org/10.1360/sspma2017-00041.

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11

Liu, M., and D. Bothe. "Numerical study of head-on droplet collisions at high Weber numbers." Journal of Fluid Mechanics 789 (January 26, 2016): 785–805. http://dx.doi.org/10.1017/jfm.2015.725.

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Head-on collisions of binary water droplets at high Weber numbers are studied by means of direct numerical simulations (DNS). We modify the lamella stabilization method of Focke & Bothe (J. Non-Newtonian Fluid Mech., vol. 166 (14), 2011, pp. 799–810), which avoids the artificial rupture of the thin lamella arising in high-energy collisions, and validate it in the regime of high Weber numbers. The simulations are conducted with and without initial disturbances and the results are compared with the experimental work of Pan et al. (Phys. Rev. E, vol. 80 (3), 2009, 036301). The influence of in
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12

Chen, Xiaodong, and Vigor Yang. "Direct numerical simulation of multiscale flow physics of binary droplet collision." Physics of Fluids 32, no. 6 (2020): 062103. http://dx.doi.org/10.1063/5.0006695.

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13

Lycett-Brown, Daniel, Kai H. Luo, Ronghou Liu, and Pengmei Lv. "Binary droplet collision simulations by a multiphase cascaded lattice Boltzmann method." Physics of Fluids 26, no. 2 (2014): 023303. http://dx.doi.org/10.1063/1.4866146.

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14

Kuan, Chih-Kuang, Kuo-Long Pan, and Wei Shyy. "Study on high-Weber-number droplet collision by a parallel, adaptive interface-tracking method." Journal of Fluid Mechanics 759 (October 20, 2014): 104–33. http://dx.doi.org/10.1017/jfm.2014.558.

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AbstractWe have established a parallel, adaptive interface-tracking framework in order to conduct, based on the framework, direct simulation of binary head-on droplet collision in the high-Weber-number regime (from 200 to 1500) that exhibits complex topological changes and substantial length scale variations. The overall algorithms include a combined Eulerian and Lagrangian solver to track moving interfaces, conservative Lagrangian mesh modification and reconstruction, cell-based unstructured adaptive mesh refinement (AMR) in the Eulerian solver, and associated Eulerian and Lagrangian domain p
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15

Estrade, J. P., Hervé Carentz, G. Lavergne, and Y. Biscos. "Experimental investigation of dynamic binary collision of ethanol droplets – a model for droplet coalescence and bouncing." International Journal of Heat and Fluid Flow 20, no. 5 (1999): 486–91. http://dx.doi.org/10.1016/s0142-727x(99)00036-3.

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16

Tanaka, Hajime. "New coarsening mechanisms for spinodal decomposition having droplet pattern in binary fluid mixture: Collision-induced collisions." Physical Review Letters 72, no. 11 (1994): 1702–5. http://dx.doi.org/10.1103/physrevlett.72.1702.

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17

Morozumi, Yoshio, Hirotaka Ishizuka, and Jun Fukai. "CRITERION BETWEEN PERMANENT COALESCENCE AND SEPARATION FOR HEAD-ON BINARY DROPLET COLLISION." Atomization and Sprays 15, no. 1 (2005): 61–80. http://dx.doi.org/10.1615/atomizspr.v15.i1.40.

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18

Wang, Cheng-Yao, Cheng-Bin Zhang, Xiang-Yong Huang, Xiang-Dong Liu, and Yong-Ping Chen. "Hydrodynamics of passing-over motion during binary droplet collision in shear flow." Chinese Physics B 25, no. 10 (2016): 108202. http://dx.doi.org/10.1088/1674-1056/25/10/108202.

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19

Tanaka, Hajime, Andrew J. Lovinger, and Don D. Davis. "Preservation of droplet collision history in phase separation of a binary fluid mixture." Physical Review E 54, no. 3 (1996): R2216—R2219. http://dx.doi.org/10.1103/physreve.54.r2216.

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20

Xiong, Gang, Rahul Gandhi, Xiaosheng Zhong, Lutz Mädler, and Stephen D. Tse. "Binary collision of a burning droplet and a non-burning droplet of xylene: Outcome regimes and flame dynamics." Proceedings of the Combustion Institute 37, no. 3 (2019): 3345–52. http://dx.doi.org/10.1016/j.proci.2018.06.198.

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21

Lee, Sang-Hyuk, and Nahm-Keon Hur. "A Numerical Analysis of the Binary Droplet Collision by Using a Level Set Method." Transactions of the Korean Society of Mechanical Engineers B 35, no. 4 (2011): 353–60. http://dx.doi.org/10.3795/ksme-b.2011.35.4.353.

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22

Pan, Kuo-Long, Chung K. Law, and Biao Zhou. "Experimental and mechanistic description of merging and bouncing in head-on binary droplet collision." Journal of Applied Physics 103, no. 6 (2008): 064901. http://dx.doi.org/10.1063/1.2841055.

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23

Sommerfeld, M., and L. Pasternak. "Advances in modelling of binary droplet collision outcomes in Sprays: A review of available knowledge." International Journal of Multiphase Flow 117 (August 2019): 182–205. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2019.05.001.

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24

Zhao, Wandong, Ying Zhang, and Ben Xu. "An improved pseudopotential multi-relaxation-time lattice Boltzmann model for binary droplet collision with large density ratio." Fluid Dynamics Research 51, no. 2 (2019): 025510. http://dx.doi.org/10.1088/1873-7005/aae443.

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25

SAKAKIBARA, Bumpei, and Takaji INAMURO. "Numerical Simulations of Binary Droplet Collision Dynamics with the Size Ratio of 0.5 by the Two-Phase LBM." Progress in Multiphase Flow Research 2 (2007): 157–64. http://dx.doi.org/10.3811/pmfr.2.157.

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26

An, Xiang, Bo Dong, Weizhong Li, Xun Zhou, and Tao Sun. "Simulation of binary droplet collision with different angles based on a pseudopotential multiple-relaxation-time lattice Boltzmann model." Computers & Mathematics with Applications 92 (June 2021): 76–87. http://dx.doi.org/10.1016/j.camwa.2021.03.036.

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27

Zinchenko, Alexander Z., and Robert H. Davis. "Gravity-induced coalescence of drops at arbitrary Péclet numbers." Journal of Fluid Mechanics 280 (December 10, 1994): 119–48. http://dx.doi.org/10.1017/s0022112094002879.

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The collision efficiency in a dilute suspension of sedimenting drops is considered, with allowance for particle Brownian motion and van der Waals attractive force. The drops are assumed to be of the same density, but they differ in size. Drop deformation and fluid inertia are neglected. Owing to small particle volume fraction, the analysis is restricted to binary interactions and includes the solution of the full quasi-steady Fokker—Planck equation for the pair-distribution function. Unlike previous studies on drop or solid particle collisions, a numerical solution is presented for arbitrary P
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28

Jiang, Zhaochen, Andreas Bück, and Evangelos Tsotsas. "CFD–DEM study of residence time, droplet deposition, and collision velocity for a binary particle mixture in a Wurster fluidized bed coater." Drying Technology 36, no. 6 (2017): 638–50. http://dx.doi.org/10.1080/07373937.2017.1319852.

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29

Zhang, Di, Qi Luo, Wei Huang, and Kan Wang. "ICONE23-1027 NUMERICAL INVESTIGATION OF BINARY SATURATED WATER DROPLET'S COLLISION IN HIGH PRESSURE STEAM." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2015.23 (2015): _ICONE23–1—_ICONE23–1. http://dx.doi.org/10.1299/jsmeicone.2015.23._icone23-1_16.

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30

Kurt, O., Udo Fritsching, and Gunther Schulte. "SECONDARY DROPLET FORMATION DURING BINARY SUSPENSION DROPLET COLLISIONS." Atomization and Sprays 19, no. 5 (2009): 457–72. http://dx.doi.org/10.1615/atomizspr.v19.i5.40.

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31

Ashgriz, N., and P. Givi. "Binary collision dynamics of fuel droplets." International Journal of Heat and Fluid Flow 8, no. 3 (1987): 205–10. http://dx.doi.org/10.1016/0142-727x(87)90029-4.

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32

Dupuy, Pablo M., Yi Lin, Maria Fernandino, Hugo A. Jakobsen, and Hallvard F. Svendsen. "Modelling of high pressure binary droplet collisions." Computers & Mathematics with Applications 61, no. 12 (2011): 3564–76. http://dx.doi.org/10.1016/j.camwa.2010.05.044.

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33

Ganti, Himakar, Prashant Khare, and Luis Bravo. "Binary collision of CMAS droplets—Part I: Equal-sized droplets." Journal of Materials Research 35, no. 17 (2020): 2260–74. http://dx.doi.org/10.1557/jmr.2020.138.

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34

Ganti, Himakar, Prashant Khare, and Luis Bravo. "Binary collision of CMAS droplets—Part II: Unequal-sized droplets." Journal of Materials Research 35, no. 17 (2020): 2275–87. http://dx.doi.org/10.1557/jmr.2020.153.

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35

Brenn, G., and V. Kolobaric. "Satellite droplet formation by unstable binary drop collisions." Physics of Fluids 18, no. 8 (2006): 087101. http://dx.doi.org/10.1063/1.2225363.

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36

Gao, S., and U. Fritsching. "Study of binary in-flight melt droplet collisions." Materialwissenschaft und Werkstofftechnik 41, no. 7 (2010): 547–54. http://dx.doi.org/10.1002/mawe.201000641.

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37

Amani, Ahmad, Néstor Balcázar, Enrique Gutiérrez, and Assensi Oliva. "Numerical study of binary droplets collision in the main collision regimes." Chemical Engineering Journal 370 (August 2019): 477–98. http://dx.doi.org/10.1016/j.cej.2019.03.188.

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38

Guo, Qianjian, Xiaoni Qi, Qiang Yin, and Xiaohang Qu. "VOF simulation studies on binary seawater droplets collision." International Journal of Heat and Technology 36, no. 3 (2018): 1148–53. http://dx.doi.org/10.18280/ijht.360348.

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39

Nikolopoulos, N., K. S. Nikas, and G. Bergeles. "A numerical investigation of central binary collision of droplets." Computers & Fluids 38, no. 6 (2009): 1191–202. http://dx.doi.org/10.1016/j.compfluid.2008.11.007.

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40

Nikolopoulos, N., A. Theodorakakos, and G. Bergeles. "Off-centre binary collision of droplets: A numerical investigation." International Journal of Heat and Mass Transfer 52, no. 19-20 (2009): 4160–74. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.04.011.

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41

Ashgriz, N., and P. Givi. "Coalescence efficiencies of fuel droplets in binary collisions." International Communications in Heat and Mass Transfer 16, no. 1 (1989): 11–20. http://dx.doi.org/10.1016/0735-1933(89)90037-7.

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42

Tkachenko, P. P., N. E. Shlegel, R. S. Volkov, and P. A. Strizhak. "Experimental study of miscibility of liquids in binary droplet collisions." Chemical Engineering Research and Design 168 (April 2021): 1–12. http://dx.doi.org/10.1016/j.cherd.2021.01.024.

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43

Xia, Sheng-yong, and Chun-bo Hu. "Numerical Investigation of Head-On Binary Collision of Alumina Droplets." Journal of Propulsion and Power 31, no. 1 (2015): 416–28. http://dx.doi.org/10.2514/1.b35345.

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44

Planchette, C., E. Lorenceau, and G. Brenn. "The onset of fragmentation in binary liquid drop collisions." Journal of Fluid Mechanics 702 (May 1, 2012): 5–25. http://dx.doi.org/10.1017/jfm.2012.94.

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AbstractBinary collisions of drops of immiscible liquids are investigated experimentally at well-defined conditions of impact. In the experiments we vary all relevant properties of an aqueous and an oil phase, the impact parameter, the drop size and the relative velocity. The drops observed after the collisions exhibit three main phenomena: full encapsulation, head-on fragmentation, and off-centre fragmentation. The regimes characterized by these phenomena replace the ones observed in binary collisions of drops of the same liquid: coalescence, reflexive separation, and stretching separation. O
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45

Focke, Christian, and Dieter Bothe. "Computational analysis of binary collisions of shear-thinning droplets." Journal of Non-Newtonian Fluid Mechanics 166, no. 14-15 (2011): 799–810. http://dx.doi.org/10.1016/j.jnnfm.2011.03.011.

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46

Mazloomi Moqaddam, Ali, Shyam S. Chikatamarla, and Ilya V. Karlin. "Simulation of binary droplet collisions with the entropic lattice Boltzmann method." Physics of Fluids 28, no. 2 (2016): 022106. http://dx.doi.org/10.1063/1.4942017.

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47

Kim, Sayop, Doo Jin Lee, and Chang Sik Lee. "Modeling of binary droplet collisions for application to inter-impingement sprays." International Journal of Multiphase Flow 35, no. 6 (2009): 533–49. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2009.02.010.

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48

Hu, Chunbo, Shengyong Xia, Chao Li, and Guanjie Wu. "Three-dimensional numerical investigation and modeling of binary alumina droplet collisions." International Journal of Heat and Mass Transfer 113 (October 2017): 569–88. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.05.094.

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49

Chowdhary, Sarwasva, S. Rajesh Reddy, and R. Banerjee. "Detailed numerical simulations of unequal sized off-centre binary droplet collisions." International Journal of Multiphase Flow 128 (July 2020): 103267. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2020.103267.

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50

Liu, Zejun, Jianjun Wu, He Zhen, and Xiaoping Hu. "Numerical Simulation on Head-On Binary Collision of Gel Propellant Droplets." Energies 6, no. 1 (2013): 204–19. http://dx.doi.org/10.3390/en6010204.

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