Toward a Physical Characterization of Raindrop Collision Outcome Regimes
Open accessAbstract
A comprehensive raindrop collision outcome regime diagram that delineates the physical conditions associated with the outcome regimes (i.e., bounce, coalescence, and different breakup types) of binary raindrop collisions is proposed. The proposed diagram builds on a theoretical regime diagram defined in the phase space of collision Weber numbers We and the drop diameter ratio p by including critical angle of impact considerations. In this study, the theoretical regime diagram is first evaluated against a comprehensive dataset for drop collision experiments representative of raindrop collisions in nature. Subsequently, the theoretical regime diagram is modified to explicitly describe the dominant regimes of raindrop interactions in (We, p) by delineating the physical conditions necessary for the occurrence of distinct types of collision-induced breakup (neck/filament, sheet, disk, and crown breakups) based on critical angle of impact consideration. Crown breakup is a subtype of disk breakup for lower collision kinetic energy that presents distinctive morphology. Finally, the experimental results are analyzed in the context of the comprehensive collision regime diagram, and conditional probabilities that can be used in the parameterization of breakup kernels in stochastic models of raindrop dynamics are provided.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
In Testik's theory, ignoring viscous dissipation and impact parameter, α = β = 1 approximately for the bouncing-coalescence-separation transition; α < 1 for bouncing, α > 1 and β < 1 for coalescence, and β > 1 for separation.
“In Testik's theory, 26,48 by ignoring the effects of viscous dissipation and the impact parameter, α β = = 1 approximately for the bouncing-coalescence-separation transition, where the two energy ratios divide the We -Δ parameter space into three regimes, with α < 1 for bouncing, α > 1 and β < 1 for coalescence, and β > 1 for separation.”
From Droplet collision of hypergolic propellants (2024) · cites this paper as [48]
Testik et al. found that the theoretical model for bouncing and coalescence regimes still holds for off-center collisions, while neck separation occurred at large B in the coalescence regime.
“Testik et al.48 found that the theoretical model for the bouncing and coalescence regimes still holds for off-center collisions, while the so-called “neck separation” that occurred at large B was observed in the coalescence regime.”
From Droplet collision of hypergolic propellants (2024) · cites this paper as [48]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Detection of a 40–50 Day Oscillation in the Zonal Wind in the Tropical Pacific
Madden, R. A., & Julian, P. R. (1971) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(1971)028 · Cited by 3,358 · see citing works
DROP IMPACT DYNAMICS: Splashing, Spreading, Receding, Bouncing…
Yarin, A. L. (2005) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.38.050304.092144 · Cited by 2,694 · see citing works
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
Coalescence 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
The Singular-Vector Structure of the Atmospheric Global Circulation
Buizza, R., & Palmer, T. N. (1995) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(1995)052 · Cited by 651 · see citing works
The Role of Gravity Wave Induced Drag and Diffusion in the Momentum Budget of the Mesosphere
Holton, J. R. (1982) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(1982)039 · Cited by 643 · see citing works
Single-drop fragmentation determines size distribution of raindrops
Villermaux, E., & Bossa, B. (2009) · Nature Physics · doi:10.1038/nphys1340 · Cited by 429 · see citing works
Free Liquid Jets and Films: Hydrodynamics and Rheology
Yarin, A. L. (1993) · Cited by 379 · see citing works
Some Aspects of Wind Power Statistics
Hennessey, J. P. (1977) · Journal of applied meteorology · doi:10.1175/1520-0450(1977)016 · Cited by 362 · see citing works
THE PRODUCTION OF RAIN BY A CHAIN REACTION IN CUMULUS CLOUDS AT TEMPERATURES ABOVE FREEZING
Langmuir, I. (1948) · Journal of Meteorology · doi:10.1175/1520-0469(1948)005 · Cited by 351 · see citing works
The 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
On the Conservation and Impermeability Theorems for Potential Vorticity
Haynes, P., & McIntyre, M. E. (1990) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(1990)047 · Cited by 266 · 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
Raindrop Size Distribution Measurements in Tropical Cyclones
Tokay, A., Bashor, P. G., Habib, E., & Kasparis, T. (2008) · Monthly Weather Review · doi:10.1175/2007mwr2122.1 · Cited by 184 · see citing works
Gotaas, C., Havelka, P., Jakobsen, H. A., Svendsen, H. F., Hase, M., Roth, N., & Weigand, B. (2007) · Physics of Fluids · doi:10.1063/1.2781603 · Cited by 165 · see citing works
Toward elucidating the microstructure of warm rainfall: A survey
Testik, F. Y., & Barros, A. P. (2007) · Reviews of Geophysics · doi:10.1029/2005rg000182 · Cited by 80 · see citing works
Self-citationCollision Characteristics of Freely Falling Water Drops
Gunn, R. (1965) · Science · doi:10.1126/science.150.3697.695 · Cited by 79 · see citing works
Straub, W., Beheng, K. D., Seifert, A., Schlottke, J., & Weigand, B. (2009) · Journal of the Atmospheric Sciences · doi:10.1175/2009jas3175.1 · Cited by 62 · see citing works
Exploring the Transient Behavior of Z–R Relationships: Implications for Radar Rainfall Estimation
Prat, O. P., & Barros, A. P. (2009) · Journal of Applied Meteorology and Climatology · doi:10.1175/2009jamc2165.1 · Cited by 60 · see citing works
Self-citationBreakup patterns for binary drop collisions
Testik, F. Y., & Young, D. M. (2008) · Journal of Visualization · doi:10.1007/bf03181902 · Cited by 59 · see citing works
Self-citationBarros, A. P., Prat, O. P., Shrestha, P., Testik, F. Y., & Bliven, L. F. (2008) · Journal of the Atmospheric Sciences · doi:10.1175/2008jas2630.1 · Cited by 56 · see citing works
Self-citationPrat, O. P., & Barros, A. P. (2010) · Advances in geosciences · doi:10.5194/adgeo-25-143-2010 · Cited by 55 · see citing works
Self-citationA Robust Numerical Solution of the Stochastic Collection–Breakup Equation for Warm Rain
Prat, O. P., & Barros, A. P. (2007) · Journal of Applied Meteorology and Climatology · doi:10.1175/jam2544.1 · Cited by 52 · see citing works
Self-citationCoalescence and fragmentation of colliding mercury drops
Menchaca-Rocha, A. A., Huidobro, F., Dávalos, A. M., Michaelian, K., Perez, A., RODRIGUEZ, V., & Cârjan, N. (1997) · Journal of Fluid Mechanics · doi:10.1017/s002211209700640x · Cited by 48 · see citing works
Schlottke, J., Straub, W., Beheng, K. D., Gomaa, H., & Weigand, B. (2009) · Journal of the Atmospheric Sciences · doi:10.1175/2009jas3174.1 · Cited by 46 · see citing works
Behavior of Water Drops Colliding in Humid Nitrogen.
Park, R. W. (1970) · Cited by 41 · see citing works
Field Observations of Multimode Raindrop Oscillations by High-Speed Imaging
Testik, F. Y., Barros, A. P., & Bliven, L. F. (2006) · Journal of the Atmospheric Sciences · doi:10.1175/jas3773.1 · Cited by 40 · see citing works
Self-citationSize distribution of raindrops
Barros, A. P., Prat, O. P., & Testik, F. Y. (2010) · Nature Physics · doi:10.1038/nphys1646 · Cited by 38 · see citing works
Self-citationOutcome regimes of binary raindrop collisions
Testik, F. Y. (2009) · Atmospheric Research · doi:10.1016/j.atmosres.2009.06.017 · Cited by 35 · see citing works
Self-citationPrat, O. P., & Barros, A. P. (2007) · Advances in geosciences · doi:10.5194/adgeo-10-145-2007 · Cited by 28 · see citing works
Self-citationA Review of Cooperative Temperature Data Validation
Guttman, N. B., & Quayle, R. G. (1990) · Journal of Atmospheric and Oceanic Technology · doi:10.1175/1520-0426(1990)007 · Cited by 27 · see citing works
Jones, B. K., Saylor, J. R., & Testik, F. Y. (2010) · Geophysical monograph · doi:10.1029/2009gm000928 · Cited by 18 · see citing works
Self-citationOn the Acceleration of Large Water Drops to Terminal Velocity
Beard, K. V. (1977) · Journal of Applied Meteorology and Climatology · doi:10.1175/1520-0450-16.10.1068 · Cited by 17 · see citing works
On the Behavior of Water Droplets during Collision with a Large Water Drop
Magono, C., & Nakamura, T. (1959) · Journal of the Meteorological Society of Japan Ser II · doi:10.2151/jmsj1923.37.4_124 · Cited by 13 · see citing works
Laboratory investigations of temporary collisions of raindrops
List, R., MacNeil, C. F., & McTaggart-Cowan, J. D. (1970) · Journal of Geophysical Research Atmospheres · doi:10.1029/jc075i036p07573 · Cited by 12 · see citing works
Presenting the Rain-Sea Interaction Facility
Bliven, L. F., & Elfouhaily, T. (2005) · IEEE International Geoscience and Remote Sensing Symposium (IGARSS) · doi:10.1109/igarss.1994.399265 · Cited by 6 · see citing works
Self-citationHeld (1975) · doi:10.1175/1520-0469(1975)032
Predictability and Information Theory. Part I: Measures of Predictability
DelSole, T. (2004) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(2004)061
Flagged first, then by citations
2 of the 43 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Confronting the Challenge of Modeling Cloud and Precipitation Microphysics
Morrison, H., van Lier‐Walqui, M., Fridlind, A. M., Grabowski, W. W., Harrington, J. Y., Hoose, C., Korolev, A. V., Kumjian, M. R., Milbrandt, J. A., Pawłowska, H., et al. (2020) · Journal of Advances in Modeling Earth Systems · doi:10.1029/2019ms001689 · Cited by 672 · see citing works
Secondary Ice Production by Fragmentation of Freezing Drops: Formulation and Theory
Phillips, V. T. J., Patade, S., Gutierrez, J., & Bansemer, A. R. (2018) · Journal of the Atmospheric Sciences · doi:10.1175/jas-d-17-0190.1 · Cited by 156 · see citing works
Allamano, P., Croci, A., & Laio, F. (2015) · Water Resources Research · doi:10.1002/2014wr016298 · Cited by 82 · see citing works
Direct numerical simulation of water droplet coalescence in the oil
Mohammadi, M., Shahhosseini, S., & Bayat, M. (2012) · International Journal of Heat and Fluid Flow · doi:10.1016/j.ijheatfluidflow.2012.04.001 · Cited by 69 · see citing works
Dual-Polarization Radar Fingerprints of Precipitation Physics: A Review
Kumjian, M. R., Prat, O. P., Reimel, K. J., van Lier‐Walqui, M., & Morrison, H. (2022) · Remote Sensing · doi:10.3390/rs14153706 · Cited by 64 · see citing works
Wilson, A. M., & Barros, A. P. (2014) · Journal of the Atmospheric Sciences · doi:10.1175/jas-d-13-0228.1 · Cited by 58 · see citing works
Self-citationWind Effects on the Shape of Raindrop Size Distribution
Testik, F. Y., & Pei, B. (2017) · Journal of Hydrometeorology · doi:10.1175/jhm-d-16-0211.1 · Cited by 43 · see citing works
Self-citationMorrison, H., Kumjian, M. R., Martinkus, C. P., Prat, O. P., & van Lier‐Walqui, M. (2018) · Journal of Applied Meteorology and Climatology · doi:10.1175/jamc-d-18-0060.1 · Cited by 34 · see citing works
On the Influence of Raindrop Collision Outcomes on Equilibrium Drop Size Distributions
Prat, O. P., Barros, A. P., & Testik, F. Y. (2012) · Journal of the Atmospheric Sciences · doi:10.1175/jas-d-11-0192.1 · Cited by 33 · see citing works
Self-citationSzakáll, M., Kessler, S., Diehl, K., Mitra, S. K., & Borrmann, S. (2013) · Atmospheric Research · doi:10.1016/j.atmosres.2013.09.005 · Cited by 29 · see citing works
Szakáll, M., & Urbich, I. (2018) · Atmospheric Research · doi:10.1016/j.atmosres.2018.05.007 · Cited by 26 · see citing works
Remote Sensing of Orographic Precipitation
Barros, A. P., & Arulraj, M. (2020) · Advances in global change research · doi:10.1007/978-3-030-35798-6_6 · Cited by 26 · 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
Partial Coalescence of Sessile Drops with Different Miscible Liquids
Borcia, R., & Bestehorn, M. (2013) · Langmuir · doi:10.1021/la3050835 · Cited by 23 · see citing works
Duan, Y., & Barros, A. P. (2017) · Remote Sensing · doi:10.3390/rs9090920 · Cited by 19 · see citing works
Self-citationFirst in situ observations of binary raindrop collisions
Testik, F. Y., & Rahman, M. K. (2017) · Geophysical Research Letters · doi:10.1002/2017gl072516 · Cited by 19 · see citing works
Self-citationFree fall of water drops in laboratory rainfall simulations
Chowdhury, M. N., Testik, F. Y., Hornack, M. C., & Khan, A. A. (2015) · Atmospheric Research · doi:10.1016/j.atmosres.2015.08.024 · Cited by 18 · see citing works
Self-citationDroplet collision of hypergolic propellants
He, C., He, Z., & Zhang, P. (2024) · Droplet · doi:10.1002/dro2.116 · Cited by 15 · see citing works
Putra, M., Rosid, M. S., & Handoko, D. (2024) · Sensors · doi:10.3390/s24155030 · Cited by 13 · see citing works
Duan, Y., Petters, M. D., & Barros, A. P. (2019) · Atmospheric chemistry and physics · doi:10.5194/acp-19-1413-2019 · Cited by 13 · see citing works
Self-citationZenith/Nadir Pointing mm-Wave Radars: Linear or Circular Polarization?
Galletti, M., Huang, D., & Kollias, P. (2013) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2013.2243155 · Cited by 13 · see citing works
Bhalwankar, R., Deshpande, C. G., & Kamra, A. K. (2017) · Journal of Geophysical Research Atmospheres · doi:10.1002/2016jd025805 · Cited by 10 · see citing works
On collisional drop breakup in orographic rain
Singh, N., Das, S., Sahoo, U. K., Kundu, S. S., & Chakraborty, S. (2024) · Atmospheric Research · doi:10.1016/j.atmosres.2024.107232 · Cited by 8 · see citing works
Poydenot, F., & Andreotti, B. (2024) · Journal of Fluid Mechanics · doi:10.1017/jfm.2024.413 · Cited by 8 · see citing works
Previously Neglected Effects of Strong Horizontal Winds on Raindrop Collisions in Tropical Cyclones
Deng, L., Bao, X., Geresdi, I., Xue, L., Huang, W., Zhao, Y., Wu, W., & Li, T. (2025) · Geophysical Research Letters · doi:10.1029/2025gl115535 · Cited by 6 · see citing works
Binary Collisions of Water Drops in Presence of Horizontal Electric Fields: A Wind Tunnel Study
Bhalwankar, R., Pawar, V., & Kamra, A. K. (2023) · Journal of Geophysical Research Atmospheres · doi:10.1029/2022jd037543 · Cited by 6 · see citing works
Collision of two drops moving in the same direction
Pal, A. K., Sahu, K. C., De, S., & Biswas, G. (2024) · Physics of Fluids · doi:10.1063/5.0189168 · Cited by 6 · see citing works
Dynamics of binary droplet collisions
He, C., Zhang, P., & Law, C. K. (2025) · Progress in Energy and Combustion Science · doi:10.1016/j.pecs.2025.101252 · Cited by 5 · see citing works
Secondary ice production during the break-up of freezing water drops on impact with ice particlesPreprint
James, R. L., Phillips, V. T. J., & Connolly, P. J. (2021) · doi:10.5194/acp-2021-557 · Cited by 5 · see citing works
Pawar, V., Bhalwankar, R., & Kamra, A. K. (2024) · Geophysical Research Letters · doi:10.1029/2024gl110547 · Cited by 4 · see citing works
Numerical analysis of binary molten glass microspheres droplets co-directional collision behavior
Hu, X., Tao, L., Li, W., Guo, J., Liu, Z., Xie, N., & Tong, B. (2025) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2025.105366 · Cited by 2 · see citing works
Dynamics of binary droplet collision in gaseous environment
He, C., & Zhang, P. (2017) · Zhongguo kexue. Wulixue Lixue Tianwenxue · doi:10.1360/sspma2017-00041 · Cited by 2 · see citing works
Toward Building a Virtual Laboratory to Investigate Rainfall Microphysics at Process Scales
Ji, L., & Barros, A. P. (2024) · Journal of the Atmospheric Sciences · doi:10.1175/jas-d-23-0121.1 · Cited by 1 · see citing works
Self-citationDiehl, K., Jungbluth, T., Theis, A., Mitra, S. K., & Szakáll, M. (2025) · Atmospheric Research · doi:10.1016/j.atmosres.2025.108327 · Cited by 1 · see citing works
Symmetry-Breaking-Induced Internal Mixing Enhancement of Droplet Collision
Leng, Y., He, C., Wang, Q., He, Z., Simms, N. J., & Zhang, P. (2023) · Symmetry · doi:10.3390/sym16010047 · Cited by 1 · see citing works
Raindrop collision outcomes: Field observations and validation of the T09 theoretical regime diagram
Rahman, K., & Testik, F. Y. (2026) · Atmospheric Research · doi:10.1016/j.atmosres.2026.109204
Self-citationNumerical investigation on off-center pursuit collision dynamics of molten glass microbeads
Hu, X., Tao, L., ZHAO, Y., Liu, Z., Tong, B., & 谢能刚 (2026) · Physics of Fluids · doi:10.1063/5.0330712
- Authors
- Testik, F. Y., Barros, A. P., & Bliven, L. F.
- Affiliations
- Clemson University (US)
- Duke University (US)
- Wallops Flight Facility (US)
- Venue
- Journal of the Atmospheric Sciences
- Publisher
- American Meteorological Society
- Published
- 2011-04-01
- Volume
- 68
- Issue
- 5
- Pages
- 1097-1113
- ISSN
- 0022-4928 (ISSN-L)
- 1520-0469
- OpenAlex
- W2076321058
- Cited by
- 37
- References
- 43
- Citations by year
- 2026: 2 · 2025: 4 · 2024: 7 · 2023: 2 · 2022: 1 · 2021: 1 · 2020: 2 · 2019: 1 · 2018: 3 · 2017: 6 · 2015: 2 · 2014: 1 · 2013: 3 · 2012: 2
- FWCI
- 1.93
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of the Atmospheric Sciences (publishedVersion)
- NASA STI Repository (National Aeronautics and Space Administration) (submittedVersion)
- Funders
- National Science Foundation
- National Aeronautics and Space Administration
- Clemson University
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Heat Transfer
- Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Precipitation Measurement and Analysis
- Physical Sciences › Environmental Science › Global and Planetary Change › Atmospheric aerosols and clouds
- Keywords
- Weber number, filament breakup, sheet breakup, bounce, coalescence
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