Bouncing, coalescence, and separation in head-on collision of unequal-size droplets
Abstract
The dynamics of head-on collision of unequal-size droplets were experimentally and theoretically investigated, with emphasis on identifying distinct collision outcomes and interpreting the size-ratio dependence. A unified regime diagram in terms of bouncing, permanent coalescence, and separation after coalescence was identified for hydrocarbon and water droplets in the parameter space of the size ratio and a collision Weber number. Experimental results show that the transition Weber number, Web-c, that separates the bouncing and permanent coalescence regimes, weakly depends on the size ratio, while the transition Weber number, Wec-s, that separates permanent coalescence and separation regimes, significantly increases with the size ratio. A theoretical model based on energy balance and scaling analysis was developed to explain the size-ratio dependence of Wec-s. The theoretical results show good agreement with the experimental data for tetradecane and decane droplets, with a moderate discrepancy for water droplets.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
For water droplets β = 0.7; for decane droplets α = 0.25 and β = 0.8; for tetradecane droplets α = 0.65 and β = 1.4.
“The results show that β = 0.7 for water droplets (α is not defined here because the bouncing outcome is absent for pure water droplet collision in the atmosphere environment), α = 0.25 and β = 0.8 for decane droplets, and α = 0.65 and β = 1.4 for tetradecane droplets.”
From Droplet collision of hypergolic propellants (2024) · cites this paper as [24]
Cites
Regimes of coalescence and separation in droplet collision
QIAN, J., & LAW, C. K. (1997) · Journal of Fluid Mechanics · doi:10.1017/s0022112096003722 · Cited by 841 · see citing works
Self-citationCoalescence and separation in binary collisions of liquid drops
Ashgriz, N., & Poo, J. Y. (1990) · Journal of Fluid Mechanics · doi:10.1017/s0022112090003536 · Cited by 753 · see citing works
Current status of droplet and liquid combustion
Faeth, G. M. (1977) · Progress in Energy and Combustion Science · doi:10.1016/0360-1285(77)90012-0 · Cited by 612 · see citing works
Formation and cycling of aerosols in the global troposphere
elisabeth, R. F. P., Dingenen, R. V., Vignati, E., Wilson, J., Putaud, J., Seinfeld, J. H., & Adams, P. J. (2000) · Atmospheric Environment · doi:10.1016/s1352-2310(00)00239-9 · Cited by 470 · see citing works
An experimental investigation on the collision behaviour of hydrocarbon droplets
Jiang, Y. J., Umemura, A., & Law, C. K. (1992) · Journal of Fluid Mechanics · doi:10.1017/s0022112092000740 · Cited by 433 · see citing works
Self-citationThe interaction of falling water drops: coalescence
Brazier-Smith, P. R., Jennings, S. G., & Latham, J. (1972) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1972.0016 · Cited by 340 · see citing works
Formation and Cycling of Aerosols in the Global Troposphere
Raes, F. (2002) · Springer eBooks · doi:10.1007/978-94-010-0082-6_3 · Cited by 286 · see citing works
Head-on collision of drops—A numerical investigation
Nobari, M. R. H., Jan, Y.-J., & Tryggvason, G. (1996) · Physics of Fluids · doi:10.1063/1.868812 · Cited by 219 · see citing works
The Collision, Coalescence, and Disruption of Water Droplets
Adam, J. R., Lindblad, N. R., & Hendricks, C. D. (1968) · Journal of Applied Physics · doi:10.1063/1.1655940 · Cited by 184 · see citing works
Raes, F., & Dingenen, R. V. (1992) · Journal of Geophysical Research Atmospheres · doi:10.1029/92jd00961 · Cited by 100 · see citing works
Rabe, C., Malet, J., & Feuillebois, F. (2010) · Physics of Fluids · doi:10.1063/1.3392768 · Cited by 95 · see citing works
FUEL DROPLET SIZE DISTRIBUTION IN DIESEL COMBUSTION CHAMBER
HIROYASU, H., & Kadota, T. (1976) · Bulletin of JSME · doi:10.1299/jsme1958.19.1064 · Cited by 94 · see citing works
Collision Characteristics of Freely Falling Water Drops
Gunn, R. (1965) · Science · doi:10.1126/science.150.3697.695 · Cited by 79 · see citing works
A survey of Waterdrop Interaction Experiments
Abbott, C. E. (1977) · Reviews of Geophysics · doi:10.1029/rg015i003p00363 · Cited by 40 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Entropic Lattice Boltzmann Method for Multiphase Flows
Moqaddam, A. M., CHIKATAMARLA, S. S., & Karlin, I. V. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.174502 · Cited by 183 · see citing works
Field‐Controlled Electrical Switch with Liquid Metal
Wissman, J., Dickey, M. D., & Majidi, C. (2017) · Advanced Science · doi:10.1002/advs.201700169 · Cited by 145 · see citing works
Droplet breakup and coalescence of an internal-mixing twin-fluid spray
Wu, H., Zhang, F., & Zhang, Z. (2021) · Physics of Fluids · doi:10.1063/5.0030777 · Cited by 104 · see citing works
Self-propelled jumping upon drop coalescence on Leidenfrost surfaces
Liu, F., Ghigliotti, G., Feng, J. J., & Chen, C.-H. (2014) · Journal of Fluid Mechanics · doi:10.1017/jfm.2014.319 · Cited by 98 · see citing works
Sommerfeld, M., & Pasternak, L. (2019) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2019.05.001 · Cited by 94 · see citing works
Binary droplet collision simulations by a multiphase cascaded lattice Boltzmann method
Lycett-Brown, D., Luo, K. H., Liu, R., & Lv, P. (2014) · Physics of Fluids · doi:10.1063/1.4866146 · Cited by 88 · see citing works
Three-dimensional numerical investigation and modeling of binary alumina droplet collisions
Hu, C., Xia, S.-Y., Li, C., & Wu, G. (2017) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2017.05.094 · Cited by 84 · see citing works
Coalescence dynamics of unequal sized drops
Deka, H., Biswas, G., Chakraborty, S. K., & Dalal, A. (2019) · Physics of Fluids · doi:10.1063/1.5064516 · Cited by 79 · see citing works
Lifting a sessile oil drop from a superamphiphobic surface with an impacting one
Ramírez-Soto, O., Sanjay, V., Lohse, D., Pham, J. T., & Vollmer, D. (2020) · Science Advances · doi:10.1126/sciadv.aba4330 · Cited by 79 · see citing works
Suppression and Utilization of Satellite Droplets for Inkjet Printing: A Review
Zhang, Y., Hu, G., Liu, Y., Wang, J., Yang, G., & Li, D. (2022) · Processes · doi:10.3390/pr10050932 · Cited by 73 · see citing works
Coalescence Processes of Droplets and Liquid Marbles
Jin, J., Ooi, C. H., Dao, D. V., & Nguyen, N. (2017) · Micromachines · doi:10.3390/mi8110336 · Cited by 65 · see citing works
Stolee, J. A., & Vértes, Á. (2013) · Analytical Chemistry · doi:10.1021/ac303347n · Cited by 58 · see citing works
Atomization and droplet dynamics of a gas-liquid two-phase jet under different mass loading ratios
Wu, H., Zhang, F., Zhang, Z., & Hou, L. (2022) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2022.104043 · Cited by 57 · see citing works
On the role of droplet bouncing in modeling impinging sprays under elevated pressures
Zhang, Z., Chi, Y., Shang, L., Zhang, P., & Zhao, Z. (2016) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2016.06.052 · Cited by 55 · see citing works
Self-citationDynamics of internal jets in the merging of two droplets of unequal sizes
Tang, C., Zhao, J., Zhang, P., Law, C. K., & Huang, Z. (2016) · Journal of Fluid Mechanics · doi:10.1017/jfm.2016.218 · Cited by 53 · see citing works
Self-citationA new model for the bouncing regime boundary in binary droplet collisions
Al-Dirawi, K. H., & Bayly, A. E. (2019) · Physics of Fluids · doi:10.1063/1.5085762 · Cited by 54 · see citing works
Numerical study of binary droplets collision in the main collision regimes
Amani, A., Balcázar, N., Gutiérrez, E., & Oliva, A. (2019) · Chemical Engineering Journal · doi:10.1016/j.cej.2019.03.188 · Cited by 52 · see citing works
Collision dynamics and mixing of unequal-size droplets
Liu, D., Zhang, P., Law, C. K., & Guo, Y. (2012) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2012.10.023 · Cited by 50 · see citing works
Self-citationPinching Dynamics and Satellite Droplet Formation in Symmetrical Droplet Collisions
Huang, K.-L., Pan, K.-L., & Josserand, C. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.234502 · Cited by 45 · see citing works
Cong, H., Qian, L., Wang, Y., & Lin, J. (2020) · Physics of Fluids · doi:10.1063/5.0020709 · Cited by 45 · see citing works
Non-monotonic viscous dissipation of bouncing droplets undergoing off-center collision
He, C., Xia, X., & Zhang, P. (2019) · Physics of Fluids · doi:10.1063/1.5088544 · Cited by 43 · see citing works
Self-citationZhang, D., Zhang, P., Yuan, Y., & Zhang, T. (2016) · Combustion and Flame · doi:10.1016/j.combustflame.2016.08.010 · Cited by 42 · see citing works
Self-citationZhang, Z., & Zhang, P. (2017) · Physics of Fluids · doi:10.1063/1.5000547 · Cited by 42 · see citing works
Self-citationDynamics and maximum spreading of droplet impact on a stationary droplet on the surface
Li, Y., Wu, X., Lin, Y., & Hu, Z. (2024) · International Journal of Mechanical Sciences · doi:10.1016/j.ijmecsci.2024.109272 · Cited by 41 · see citing works
Liu, J., Zhu, C., Fu, T., & Ma, Y. (2014) · Industrial & Engineering Chemistry Research · doi:10.1021/ie4037565 · Cited by 41 · see citing works
Transitions of bouncing and coalescence in binary droplet collisions
Huang, K.-L., & Pan, K.-L. (2021) · Journal of Fluid Mechanics · doi:10.1017/jfm.2021.797 · Cited by 40 · see citing works
Liu, C. X., Wu, K., Zhang, Z., Yuan, Y., & Fan, X. (2022) · Physics of Fluids · doi:10.1063/5.0128231 · Cited by 40 · see citing works
Collision Dynamics and Internal Mixing of Droplets of Non-Newtonian Liquids
Sun, K., Zhang, P., Law, C. K., & Wang, T. (2015) · Physical Review Applied · doi:10.1103/physrevapplied.4.054013 · Cited by 39 · see citing works
Self-citationXia, J., Zhang, Q., He, Z., Wang, J., Liu, R., Qian, Y., Ju, D., & Lü, X. (2021) · Fuel · doi:10.1016/j.fuel.2021.121133 · Cited by 36 · see citing works
Numerical modeling of multi-component fuel spray evaporation process
Samimi-Abianeh, O., Chen, C. P., & Shankar Mahalingam, A. (2013) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2013.10.007 · Cited by 36 · see citing works
Rotational separation after temporary coalescence in binary droplet collisions
Pan, K.-L., Huang, K.-L., Hsieh, W., & Lu, C.-R. (2019) · Physical Review Fluids · doi:10.1103/physrevfluids.4.123602 · Cited by 32 · see citing works
Inertio-capillary rebound of a droplet impacting a fluid bath
Alventosa, L., Cimpeanu, R., & Harris, D. M. (2023) · Journal of Fluid Mechanics · doi:10.1017/jfm.2023.88 · Cited by 32 · see citing works
A study of two unequal-sized droplets undergoing oblique collision
Chaitanya, G. S., Sahu, K. C., & Biswas, G. (2021) · Physics of Fluids · doi:10.1063/5.0038734 · Cited by 31 · see citing works
Aerodynamic effect on atomization characteristics in a swirl cup airblast fuel injector
Fang, C., Liu, Y., Wang, S., Liu, C., Liu, F., Yang, J., Wang, K., Mu, Y., Xu, G., & Zhu, J. (2023) · Physics of Fluids · doi:10.1063/5.0170317 · Cited by 31 · see citing works
Enhanced mixing of binary droplets induced by capillary pressure
Luo, X., Yin, H., Ren, J. M., Yan, H., Huang, X. M., Yang, D., & He, L. (2019) · Journal of Colloid and Interface Science · doi:10.1016/j.jcis.2019.03.016 · Cited by 30 · see citing works
Lu, Y., Zhao, C., Zhang, Z., Zuo, Z., & Lv, W. (2019) · Fuel · doi:10.1016/j.fuel.2019.04.042 · Cited by 29 · see citing works
Regimes of Head-On Collisions of Equal-Sized Binary Droplets
Zhang, Y. R., & Luo, K. H. (2019) · Langmuir · doi:10.1021/acs.langmuir.8b04277 · Cited by 28 · see citing works
Inertial stretching separation in binary droplet collisions
Al-Dirawi, K. H., Al-Ghaithi, K. H. A., Sykes, T. C., Castrejón-Pita, J. R., & Bayly, A. E. (2021) · Journal of Fluid Mechanics · doi:10.1017/jfm.2021.674 · Cited by 28 · see citing works
Sun, K., Wang, T., Zhang, P., & Law, C. K. (2015) · Physical Review E · doi:10.1103/physreve.91.023009 · Cited by 27 · see citing works
Self-citationCheng, Y., Li, J., Xu, J., & Shen, Y. S. (2021) · Physics of Fluids · doi:10.1063/5.0038352 · Cited by 27 · see citing works
Mass interminglement and hypergolic ignition of TMEDA and WFNA droplets by off-center collision
Zhang, D., He, C., Zhang, P., & Tang, C. (2018) · Combustion and Flame · doi:10.1016/j.combustflame.2018.08.002 · Cited by 24 · see citing works
Self-citationVortex-ring-induced internal mixing upon the coalescence of initially stationary droplets
Xia, X., He, C., Yu, D., Zhao, J., & Zhang, P. (2017) · Physical Review Fluids · doi:10.1103/physrevfluids.2.113607 · Cited by 29 · see citing works
Self-citationThermally induced collision of droplets in an immiscible outer fluid
Davanlou, A., & Kumar, R. (2015) · Scientific Reports · doi:10.1038/srep09531 · Cited by 25 · see citing works
Numerical Investigation of Head-On Binary Collision of Alumina Droplets
Xia, S.-Y., & Hu, C. (2014) · Journal of Propulsion and Power · doi:10.2514/1.b35345 · Cited by 24 · see citing works
Sun, K., Jia, M., & Wang, T. (2013) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2013.11.055 · Cited by 24 · see citing works
Free Energy and Dynamics of Water Droplet Coalescence
Pak, C. Y., Li, W., & Tse, Y. S. (2018) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.8b06507 · Cited by 24 · see citing works
Wang, G., Yang, J., Lei, T., Chen, J., Wang, Q., & Luo, K. H. (2023) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2023.104582 · Cited by 23 · see citing works
Ebadi, A., & Hosseinalipour, S. M. (2021) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2021.12.019 · Cited by 22 · see citing works
Collision-induced jet-like mixing for droplets of unequal-sizes
Sun, K., Zhang, P., Jia, M., & Wang, T. (2018) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2017.11.154 · Cited by 21 · see citing works
Self-citationSpray Impingement and Combustion in a Model Opposed-Piston Compression Ignition Engine
Zhang, Z., Zhang, P., & Zhao, Z. (2017) · Combustion Science and Technology · doi:10.1080/00102202.2017.1340278 · Cited by 21 · see citing works
Self-citationVortex-dynamical implications of nonmonotonic viscous dissipation of off-center droplet bouncing
He, C., Xia, X., & Zhang, P. (2020) · Physics of Fluids · doi:10.1063/5.0003057 · Cited by 21 · see citing works
Self-citationZhang, D., Yu, D., Yuan, Y., Zhang, P., & Fan, X. (2023) · Fuel · doi:10.1016/j.fuel.2023.127788 · Cited by 21 · see citing works
Self-citationEntropic multi-relaxation free-energy lattice Boltzmann model for two-phase flows
Bösch, F., Dorschner, B., & Karlin, I. V. (2018) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/122/14002 · Cited by 20 · see citing works
Binary collision of CMAS droplets—Part II: Unequal-sized droplets
Ganti, H., Khare, P., & Bravo, L. G. (2020) · Journal of materials research/Pratt's guide to venture capital sources · doi:10.1557/jmr.2020.153 · Cited by 20 · see citing works
Asymmetric coalescence of two droplets with different surface tensions is caused by capillary waves
Hack, M. A., Vondeling, P., Cornelissen, M., Lohse, D., Snoeijer, J. H., Diddens, C., & Segers, T. (2021) · Physical Review Fluids · doi:10.1103/physrevfluids.6.104002 · Cited by 20 · see citing works
Zhang, D., Yu, D., Zhang, P., Yuan, Y., Yue, L., Zhang, T., & Fan, X. (2019) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2019.05.040 · Cited by 19 · see citing works
Self-citationSpin-affected reflexive and stretching separation of off-center droplet collision
He, C., Yue, L., & Zhang, P. (2022) · Physical Review Fluids · doi:10.1103/physrevfluids.7.013603 · Cited by 19 · see citing works
Self-citationSimulation of coalescence dynamics of droplets on surfaces with different wettabilities
Xing, L., Li, J., Jiang, M., & Zhao, D. (2022) · Physics of Fluids · doi:10.1063/5.0099434 · Cited by 19 · see citing works
Head-on collision of unequal-size droplets on a wetting surface
Ray, S., Chi, Y., Zhang, P., & Cheng, S. (2023) · Physics of Fluids · doi:10.1063/5.0139663 · Cited by 19 · see citing works
Self-citationWang, C., Chen, Z., Li, T., Zhao, P., & Chen, H. (2025) · Journal of the Energy Institute · doi:10.1016/j.joei.2025.102076 · Cited by 19 · see citing works
Yoshino, M., Sawada, J., & Suzuki, K. (2018) · Computers & Fluids · doi:10.1016/j.compfluid.2018.03.060 · Cited by 18 · see citing works
Nonaxisymmetric flow characteristics in head-on collision of spinning droplets
He, C., & Zhang, P. (2020) · Physical Review Fluids · doi:10.1103/physrevfluids.5.113601 · Cited by 18 · see citing works
Self-citationAarøen, O., Riccardi, E., & Sletmoen, M. (2021) · RSC Advances · doi:10.1039/d1ra00661d · Cited by 18 · see citing works
Elperin, T., Kleeorin, N., Krasovitov, B., Kulmala, M., Liberman, M. A., Rogachevskii, I., & Zilitinkevich, S. (2015) · Physical Review E · doi:10.1103/physreve.92.013012 · Cited by 17 · see citing works
Goyal, N., Shaikh, J., & Sharma, A. (2020) · Physics of Fluids · doi:10.1063/5.0029179 · Cited by 17 · see citing works
Experimental Observation of Hypergolic Ignition of Superbase-Derived Ionic Liquids
Li, J., Fan, W., Weng, X., Tang, C., Zhang, X., Huang, Z., & Zhang, Q. (2017) · Journal of Propulsion and Power · doi:10.2514/1.b36441 · Cited by 17 · see citing works
Self-citationFang, C., Wang, K., Liu, Y., Wang, S., Liu, F., Yang, J., Cao, C., Liu, C., Mu, Y., Xu, G., et al. (2024) · Physics of Fluids · doi:10.1063/5.0195293 · Cited by 16 · see citing works
Ahmadi, H. A., Ebadi, A., & Hosseinalipour, S. M. (2021) · Journal of Dispersion Science and Technology · doi:10.1080/01932691.2021.1930037 · Cited by 16 · see citing works
Zhang, Z., & Zhang, P. (2018) · Atomization and Sprays · doi:10.1615/atomizspr.2018025900 · Cited by 16 · see citing works
Self-citationCompound Chondrule Formation in Optically Thin Shock Waves
Arakawa, S., & Nakamoto, T. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/ab1b3e · Cited by 16 · see citing works
Droplet collision of hypergolic propellants
He, C., He, Z., & Zhang, P. (2024) · Droplet · doi:10.1002/dro2.116 · Cited by 15 · see citing works
Self-citationLi, X., Wang, Z., Hu, Y. F., Huang, Y., Xiang, L., & Cheng, X. (2024) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2024.122918 · Cited by 15 · see citing works
Dynamics of two unequal-sized drops coalescence at a liquid–liquid interface
Singh, S., & Saha, A. (2022) · Physics of Fluids · doi:10.1063/5.0089309 · Cited by 15 · see citing works
Triple Leidenfrost Effect: Preventing Coalescence of Drops on a Hot Plate
Pacheco-Vázquez, F., Ledesma-Alonso, R., Palacio-Rangel, J. L., & Moreau, F. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.204501 · Cited by 14 · see citing works
Understanding of head-on coalescence of binary drops onto a cylindrical target
Sahoo, P. C., Senapati, J. R., & Rana, B. K. (2024) · Chemical Engineering Science · doi:10.1016/j.ces.2024.119886 · Cited by 13 · see citing works
Xiao, W., & Zhang, Z. (2022) · Computers & Fluids · doi:10.1016/j.compfluid.2022.105621 · Cited by 12 · see citing works
Ray, S., Han, Y., & Cheng, S. (2023) · Physics of Fluids · doi:10.1063/5.0171469 · Cited by 12 · see citing works
Impact dynamics of egg-shaped drops on a solid surface for suppression of the bounce magnitude
Yun, S. (2018) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2018.06.157 · Cited by 12 · see citing works
Free Energy and Dynamics of Organic-Coated Water Droplet Coalescence
Pak, C. Y., Li, W., & Tse, Y. S. (2020) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.0c00175 · Cited by 12 · see citing works
Experimental analysis of droplet coalescence and transport mechanisms on a single vertical fiber
Schwarzwälder, A., Meyer, J., & Dittler, A. (2023) · Experiments in Fluids · doi:10.1007/s00348-023-03628-5 · Cited by 12 · see citing works
Water Collection by Sticky Microislands on Superomniphobic Electrospun Surfaces
Davis, A. J., Liakos, I., Genovese, M. E., Marini, L., Salerno, M., Bayer, I. S., & Athanassiou, A. (2016) · Advanced Materials Interfaces · doi:10.1002/admi.201600606 · Cited by 12 · see citing works
Controlling the residence time of a bouncing drop with asymmetric shaping
Yun, S. (2018) · Soft Matter · doi:10.1039/c8sm00401c · Cited by 11 · see citing works
Binary collisions of equal-sized water nanodroplets: Molecular dynamics simulations
Yin, Z., Su, R., Zhang, W., Zhang, C., Xu, H., Hu, H., Zhang, Z., Huang, B., & Liu, F. (2021) · Computational Materials Science · doi:10.1016/j.commatsci.2021.110774 · Cited by 11 · see citing works
Behera, N., & Chakraborty, S. K. (2023) · Journal of Fluid Mechanics · doi:10.1017/jfm.2022.1096 · Cited by 11 · see citing works
Chemical Reactions at the Interface Periphery of Colliding Droplets Studied by Raman Image Analysis
Suzuki, S., Kamoshita, A., & Kohno, J. (2021) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.1c06163 · Cited by 10 · see citing works
A parametric numerical investigation of head-on ternary droplet collision
Yu, W., Chang, S., & Song, H. (2023) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2023.104622 · Cited by 10 · see citing works
Li, Y., Yang, N., Xiao, X., Jiang, B., Sun, Y., & Zhang, L. (2023) · Physics of Fluids · doi:10.1063/5.0150547 · Cited by 9 · see citing works
The dynamics of vertical coalescence of acoustically levitated droplets
Vashi, A. V., Yadav, A. S., Nguyen, N., & Sreejith, K. R. (2024) · Microfluidics and Nanofluidics · doi:10.1007/s10404-024-02730-2 · Cited by 9 · see citing works
Numerical simulation of binary droplet collisions using a front tracking interface technique
Llamas, C. G., Swami, V. V., Timmermans, B. A. G., Buist, K. A., Kuipers, J. A. M., & Baltussen, M. W. (2023) · Chemical Engineering Science · doi:10.1016/j.ces.2023.119510 · Cited by 9 · see citing works
NISHIO, Y., Komori, K., Izawa, S., & FUKUNISHI, Y. (2020) · Theoretical and Computational Fluid Dynamics · doi:10.1007/s00162-020-00514-2 · Cited by 9 · see citing works
Collision of nanoscale water droplets: A molecular dynamics study
Tian, Y., Y., M., Chen, Z., Cui, K., Du, J. F., Yu, C., Wang, S.-L., & He, X. (2025) · Physics of Fluids · doi:10.1063/5.0249875 · Cited by 8 · see citing works
Numerical analysis of sprays with an advanced collision model
Sommerfeld, M., & Laı́n, S. (2017) · European Conference on Liquid Atomization and Spray Systems (ILASS-Europe) · doi:10.4995/ilass2017.2017.4785 · Cited by 8 · see citing works
A lattice Boltzmann study on the bouncing behavior of equal-sized droplet collision
Liu, L., Xing, Y., & Huang, R. (2022) · Physics of Fluids · doi:10.1063/5.0087964 · Cited by 8 · see citing works
Samimi-Abianeh, O., Chen, C. P., & Shankar Mahalingam, A. (2014) · International Journal of Automotive Technology · doi:10.1007/s12239-014-0113-8 · Cited by 8 · see citing works
Optical manipulation for studies of collisional dynamics of micron-sized droplets under gravity
Ivanov, M., Chang, K., Galinskiy, I., Mehlig, B., & Hanstorp, D. (2017) · Optics Express · doi:10.1364/oe.25.001391 · Cited by 8 · see citing works
Flow and mixing dynamics in face-to-face and rear-end collisions of pairs of equal-sized droplets
Yoshino, M., Nagase, K., Momose, Y., & Suzuki, K. (2023) · Physics of Fluids · doi:10.1063/5.0159018 · Cited by 7 · see citing works
New insights into head-on bouncing of unequal-size droplets on a wetting surface
Ray, S., Han, Y., Yue, Z., Guo, H., Chao, C. Y. H., & Cheng, S. (2024) · Journal of Fluid Mechanics · doi:10.1017/jfm.2024.156 · Cited by 7 · see citing works
Shah, R. G., & Mohan, R. V. (2025) · Fluids · doi:10.3390/fluids10050123 · Cited by 7 · see citing works
A Numerical Investigation on the Collision Behavior of Unequal-Sized Micro-Nano Droplets
Qian, L., Liu, J., Cong, H., Zhou, F., & Bao, F. (2020) · Nanomaterials · doi:10.3390/nano10091746 · Cited by 7 · see citing works
Xia, J., Zhang, Q., Wang, J., He, Z., Zhou, Q., Zhou, D., Qian, Y., Ju, D., & Lü, X. (2022) · International Journal of Engine Research · doi:10.1177/14680874211072291 · Cited by 7 · see citing works
- Authors
- Tang, C., Zhang, P., & Law, C. K.
- Affiliations
- Princeton University (US)
- Venue
- Physics of Fluids
- Publisher
- AIP Publishing
- Published
- 2012-02-01
- Volume
- 24
- Issue
- 2
- ISSN
- 1070-6631 (ISSN-L)
- 1089-7666
- OpenAlex
- W2068744655
- Cited by
- 164
- References
- 15
- Citations by year
- 2026: 17 · 2025: 17 · 2024: 19 · 2023: 21 · 2022: 12 · 2021: 14 · 2020: 10 · 2019: 14 · 2018: 7 · 2017: 12 · 2016: 4 · 2015: 6 · 2014: 6 · 2013: 3 · 2012: 2
- FWCI
- 5.39
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics of Fluids (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Heat Transfer
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Electrohydrodynamics and Fluid Dynamics
- Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
- Keywords
- droplet collision, head-on collisions, droplet bouncing, energy balance model, scaling analysis, hydrocarbon droplets, water droplets, tetradecane, n-decane
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review