• A model for high Reynolds number vortex ringsKaplanski, Felix; Fukumoto, Yasuhide; Rudi, ÜloAbstract book of the 23rd International Congress of Theoretical and Applied Mechanics : August 19-24, 2012, Beijing, China2012 / p. 225-226 https://www.researchgate.net/profile/Felix-Kaplanski/publication/278242787_A_model_for_high_Reynolds_number_vortex_rings/links/557eb0e508aeea18b778040d/A-model-for-high-Reynolds-number-vortex-rings.pdf?origin=scientific-contributions
• A vortex ring model and its applicationsKaplanski, FelixAbstract: http://www2.math.kyushu-u.ac.jp/~masato/npa-old/index.html : Seminar on Nonlinear Phenomena and Analysis, Kyushu University, Fukuoka, Japan, 28 January2010
• Applications of the modelsDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiVortex Ring Models2021 / p. 141-154 https://doi.org/10.1007/978-3-030-68150-0_7 https://www.scopus.com/sourceid/21100258389 https://www.scopus.com/record/display.uri?eid=2-s2.0-85104691604&origin=inward&txGid=536a571a344de5a7ad7d2a3ea52a8770
• Confined vortex ringsDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiVortex Ring Models2021 / p. 103 - 119 https://doi.org/10.1007/978-3-030-68150-0_5 https://www.scopus.com/sourceid/21100258389 https://www.scopus.com/record/display.uri?eid=2-s2.0-85104706226&origin=resultslist&sort=plf-f&src=s&sid=05068084bd701fc998b7acb03ca8263b&sot=b&sdt=b&s=DOI%2810.1007%2F978-3-030-68150-0_5%29&sl=33&sessionSearchId=05068084bd701fc998b7acb03ca8263b&relpos=0
• Dynamics of vortex rings and spray-induced vortex ring-like structuresKaplanski, Felix; Sazhin, Sergei; Begg, Steven; Fukumoto, Y.; Heikal, MorganEuropean journal of mechanics B. Fluids2010 / 3, p. 208-216 : ill
• Formation number of vortex ringsDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiVortex Ring Models2021 / p. 121-139 https://doi.org/10.1007/978-3-030-68150-0_6 https://www.scopus.com/sourceid/21100258389 https://www.scopus.com/record/display.uri?eid=2-s2.0-85104690616&origin=resultslist&sort=plf-f&src=s&sid=488ec0e0970fca98059ee372b54b9768&sot=b&sdt=b&s=DOI%2810.1007%2F978-3-030-68150-0_6%29&sl=33&sessionSearchId=488ec0e0970fca98059ee372b54b9768&relpos=0
• A generalized vortex ring modelKaplanski, Felix; Sazhin, Sergei; Fukumoto, Yasuhide; Begg, Steven; Heikal, MorganJournal of fluid mechanics2009 / p. 233-258
• Global time evolution of an axisymmetric vortex ring at low Reynolds numbersFukumoto, Yasuhide; Kaplanski, FelixPhysics of fluids2008 / p. 053103-1 - 053103-13 : ill https://pubs.aip.org/aip/pof/article/20/5/053103/964428/Global-time-evolution-of-an-axisymmetric-vortex
• Global time evolution of an axisymmetric vortex ring at small Reynolds numberKaplanski, Felix; Fukumoto, YasuhideICTAM2008 Adelaide : XXII International Congress of Theoretical and Applied Mechanics : abstracts book2008 / p. 73 https://pubs.aip.org/aip/pof/article/20/5/053103/964428/Global-time-evolution-of-an-axisymmetric-vortex
• Global time evolution of viscous vortex ringsFukumoto, Yasuhide; Kaplanski, Felix; Moffatt, H.K.Abstracts of IUTAM Symposium 150 years of Vortex Dynamics2008 / ? p https://link.springer.com/article/10.1007/s00162-009-0155-0
• Jet and vortex ring-like structures in internal combustion engines : stability analysis and analytical solutionsSazhin, Sergei; Boronin, S.; Kaplanski, FelixProcedia IUTAM2013 / p. 196-204
• Jets and vortex ring-like structures in internal combustion engines : stability analysis and analytical solutionsSazhin, Sergei; Boronin, S.; Begg, Steven; Crua, C.; Heikal, Morgan; Healey, J.; Lebedeva, N.; Osiptsov, A.; Kaplanski, FelixIUTAM Symposium 12–3=GA.10-08 "Waves in fluids : Effects of Non-Linearity, Rotation, Stratification and Dissipation" Moscow, June 18-22, 2012 programme2012 / [3] p https://www.sciencedirect.com/science/article/pii/S2210983813000989
• A model for confined vortex rings with elliptical-core vorticity distributionDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiJournal of fluid mechanics2017 / p. 67-94 : ill https://doi.org/10.1017/jfm.2016.752 https://www.scopus.com/sourceid/18537 https://www.scopus.com/record/display.uri?eid=2-s2.0-85028262739&origin=inward&txGid=e6d44414b5932950c979796f3f019644 https://jcr.clarivate.com/jcr-jp/journal-profile?journal=J%20FLUID%20MECH&year=2017 https://www.webofscience.com/wos/woscc/full-record/WOS:000390352200009
• A Model for the formation of "optimal" vortex rings taking into account viscosityKaplanski, Felix; Rudi, ÜloPhysics of fluids2005 / 8, [7] p https://pubs.aip.org/aip/pof/article/17/8/087101/361381/A-model-for-the-formation-of-optimal-vortex-rings
• A model for the formation of "optimal" vortex rings with taking into account viscosityKaplanski, Felix; Rudi, Ülo21st International Congress of Theoretical and Applied Mechanics : August 15-21, 2004, Warsaw, Poland : ICTAM04 : abstracts and CD-ROM proceedings2004 / p. 189 https://pubs.aip.org/aip/pof/article/17/8/087101/361381/A-model-for-the-formation-of-optimal-vortex-rings
• Model for the formation of "optimal" vortex rings with taking into account viscosity [Electronic resource]Kaplanski, Felix; Rudi, ÜloProceedings of the 21st IUTAM Congress : Warsaw, Poland2005 / p. FM25 [CD-ROM] https://www.researchgate.net/publication/278242738_A_model_for_the_formation_of_optimal_vortex_rings_with_taking_into_account_viscosity
• Modeling of a turbulent vortex ringKaplanski, Felix; Rudi, ÜloAdvances in turbulence XI : proceedings of the 11th EUROMECH European Turbulence Conference : June 25-28, 2007, Porto, Portugal2007 / p. 304-306 https://www.researchgate.net/publication/251249595_Modeling_of_a_turbulent_vortex_ring
• Modeling of a vortex ring flowFukumoto, Y.; Kaplanski, FelixReports of RIAM Symposium No. 18ME-S72007 / p. 112-118
• Modeling of a vortex ring flow at high Reynolds numberFukumoto, Y.; Kaplanski, FelixConference on Turbulence : Japan Research Institute for Applied Mechanics, Kyushu University, Japan2006 / p. 201-208 https://www.brighton.ac.uk/_pdf/research/cae/kaplanski%202.pdf
• Modeling of a vortex ring flow at high Reynolds numberKaplanski, Felix; Fukumoto, Y.; Sazhin, SergeiUK-Israel Workshop "Sprays : Modelling versus Experimentation" : Brighton, UK, July 16-18, 20072007 / ? p
• Modelling and reconstruction of impulsively started flows using vortex ring modelsZhang, Y.; Danaila, Ionut; Kaplanski, FelixBook of abstracts of European Fluid Mechanics Conference 9 : 9-13 September 2012, Roma, Italy2012 / [1] p.: ill https://www.researchgate.net/publication/278242781_Modelling_and_reconstruction_of_impulsively_started_flows_using_vortex_ring_models
• Modelling of a two-phase vortex-ring flow using an analytical solution for the carrier phaseRybdylova, O.; Sazhin, S.S.; Osiptsov, A.N.; Kaplanski, Felix; Begg, S.; Heikal, M.Applied mathematics and computation2018 / 11 p. : ill https://doi.org/10.1016/j.amc.2017.12.044 https://www.scopus.com/sourceid/25170 https://www.scopus.com/record/display.uri?eid=2-s2.0-85041373612&origin=inward&txGid=2f5d6f182d9671f3b9969b8bda3af4a4 https://jcr.clarivate.com/jcr-jp/journal-profile?journal=APPL%20MATH%20COMPUT&year=2022 https://www.webofscience.com/wos/woscc/full-record/WOS:000424383900012
• Modelling of confined vortex ringsDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiJournal of fluid mechanics2015 / p. 267-297 : ill https://doi.org/10.1017/jfm.2015.261 https://www.scopus.com/sourceid/18537 https://www.scopus.com/record/display.uri?eid=2-s2.0-84930959100&origin=inward&txGid=c9a77e683f856d8a9c7736eec2285184 https://jcr.clarivate.com/jcr-jp/journal-profile?journal=J%20FLUID%20MECH&year=2015 https://www.webofscience.com/wos/woscc/full-record/WOS:000358713400015
• Modelling of optimal vortex ring formation using the Stokes approximationKaplanski, Felix; Rudi, ÜloEUROMECH Fluid Mechanics Conference 6 : Stockholm, June 26-30, 20062006 / p. 110 https://www.researchgate.net/publication/278242829_Modeling_of_optimal_vortex_ring_formation_using_the_Stokes_approximation
• Motion of a vortex ring with swirl at low Reynolds numbersFukumoto, Y.; Kaplanski, FelixAutumn meeting of Japan Physical Society, Osaka, Japan, September 232010 https://www.researchgate.net/publication/253012699_Motion_of_a_vortex_ring_with_swirl
• New approaches to modelling vortex rings and vortex ring-like structuresKaplanski, Felix; Danaila, Ionut; Rybdylova, Oyuna; Rudi, ÜloAdvances in heat transfer : proceedings of the 7th Baltic Heat Transfer Conference : Tallinn, Estonia, August 24-26, 20152015 / p. 35-40 : ill
• Particle dynamics and mixing in an oscillating viscous vortex pairKaplanski, Felix; Sazhin, Sergei; Rudi, ÜloProceedings of the Estonian Academy of Sciences. Engineering2005 / 2, p. 140-153 : ill https://kirj.ee/wp-content/plugins/kirj/pub/eng-2-2005-140-153_20211119120244.pdf
• Particle dynamics in a vortex ring [Electronic resource]Kaplanski, Felix; Rudi, ÜloProceedings of the 5th International Conference on Multiphase Flow : ICMF-2004 : Yokohama, Japan, May 30-June 4, 20042004 / Paper No. 571. [CD-ROM] https://www.researchgate.net/publication/278242733_Particle_dynamics_in_a_vortex_ring
• Particle dynamics in a vortex ring [Electronic resource]Kaplanski, Felix; Sashin, S.; Rudi, ÜloProceedings of the 3rd International Symposium on Two-Phase Flow Modelling and Experimentation : ISTP-2004 : Pisa, Italy, September 22-26, 20042004 / paper No. as05 (6 p.). [CD-ROM] https://www.researchgate.net/publication/278242733_Particle_dynamics_in_a_vortex_ring
• Particle motion in the vortices generated by a localized forceKaplanski, Felix; Rudi, Ülo; Tisler, SergeiChemical and process engineering2005 / 3, p. 427-436 https://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-article-BGPK-1183-5137
• PrefaceDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiVortex Ring Models2021 / p. vii https://link.springer.com/content/pdf/bfm:978-3-030-68150-0/1?pdf=chapter%20toc https://www.scopus.com/sourceid/21100258389 https://www.scopus.com/record/display.uri?eid=2-s2.0-85104760290&origin=inward&txGid=3fc3d5756c33bb6892e8d8fee2e7a620
• Reynolds-number effect on vortex ring evolutionKaplanski, Felix; Fukumoto, Y.; Rudi, ÜloRecent Progresses in Fluid Dynamics Research : proceedings of the Sixth International Conference on Fluid Mechanics, 30 June - 3 July, 2011, Guangzhou, China2011 / p. 57-60 : ill https://www.researchgate.net/publication/234946883_Reynolds-number_Effect_on_Vortex_Ring_Evolution
• Reynolds-number effect on vortex ring evolution in a viscous fluidKaplanski, Felix; Fukumoto, Yasuhide; Rudi, ÜloPhysics of fluids2012 / p. 033101-1 - 033101-13 https://www.researchgate.net/publication/234946883_Reynolds-number_Effect_on_Vortex_Ring_Evolution
• Spray dynamics as a multi-scale processSazhin, Sergei; Martynov, S.; Kaplanski, Felix; Begg, StevenJournal of physics : conference series2008 / p. 012024 [13 p.]
• Steady inviscid vortex ringsDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiVortex Ring Models2021 / p. 17-49 https://doi.org/10.1007/978-3-030-68150-0_2 https://www.scopus.com/sourceid/21100258389 https://www.scopus.com/record/display.uri?eid=2-s2.0-85104796994&origin=inward&txGid=7141bfe2e77e605008f5d2de81a5618d
• The evolution of an elliptic vortex ring in viscous fluidKaplanski, Felix; Sazhin, Sergei; Fukumoto, Y.; Rudi, ÜloEuromech Fluid Mechanics Conference - 8 (EFMC-8) : September 13-16 , 2010, Bad Reichenhall, Germany : book of abstracts2010 / p. S15-9 : ill https://www.researchgate.net/publication/278242848_The_evolution_of_an_elliptical_vortex_ring_in_viscous_fluid
• Time-dependent properties of a viscous vortex ringKaplanski, Felix; Rudi, ÜloProceedings of the Estonian Academy of Sciences. Engineering1997 / 3, p. 171-184
• Transport processes in an oscillating vortex pair and ringsKaplanski, Felix; Rudi, ÜloNATO Advanced Study Institute Flow and Transport Processes in Complex Obstructed Geometries : from Cities and Vegetative Canopies to Industrial Problems : Kyiv, Ukraine, May 4-12, 20042004 / p. 110-112
• Viscous vortex ringsDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiVortex Ring Models2021 / p. 51-86 https://doi.org/10.1007/978-3-030-68150-0_3 https://www.scopus.com/sourceid/21100258389 https://www.scopus.com/record/display.uri?eid=2-s2.0-85104758348&origin=inward&txGid=329da77ada2e51c5074a2dcaacf3ec70
• Viscous vortex rings with elliptical coresDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiVortex Ring Models2021 / p. 87 - 102 https://doi.org/10.1007/978-3-030-68150-0_4 https://www.scopus.com/sourceid/21100258389 https://www.scopus.com/record/display.uri?eid=2-s2.0-85104762301&origin=resultslist&sort=plf-f&src=s&sid=ce9477a87bac3db51548c33410f7748d&sot=b&sdt=b&s=DOI%2810.1007%2F978-3-030-68150-0_4%29&sl=27&sessionSearchId=ce9477a87bac3db51548c33410f7748d&relpos=0
• The vortex ring problemDanaila, Ionut; Kaplanski, Felix; Sazhin, SergeiVortex Ring Models2021 / p. 1-15 https://doi.org/10.1007/978-3-030-68150-0_1 https://www.scopus.com/sourceid/21100258389 https://www.scopus.com/record/display.uri?eid=2-s2.0-85104698955&origin=resultslist&sort=plf-f&src=s&sid=5893f90c2cf8e3c2b6816a479ecde327&sot=b&sdt=b&s=DOI%2810.1007%2F978-3-030-68150-0_1%29&sl=30&sessionSearchId=5893f90c2cf8e3c2b6816a479ecde327&relpos=0
• Vortex ring-like structures in a non-evaporating gasoline-fuel spray : simplified models versus experimental resultsSazhin, Sergei; Kaplanski, Felix; Begg, Steven; Heikal, MorganSAE Technical Papers : SAE, International Powertrains, Fuels & Lubricants Meeting, May 5-72010 / SAE paper 2010-01-1491, [16] p https://www.ilasseurope.org/ICLASS/ILASS2008_COMO/file/papers/6-5.pdf
• Vortex ring-like structures in gasoline fuel sprays : modelling and observations [Electronic resource]Sazhin, Sergei; Kaplanski, Felix; Begg, Steven; Heikal, MorganILASS 2008 : 22nd European Conference on Liquid Atomization and Spray Systems : September 8-10, 2008, Como Lake, Italy2008 / p. paper 6-5 [CD-ROM] https://www.researchgate.net/publication/278242920_Vortex_ring-like_structures_in_gasoline_fuel_sprays_modelling_and_observations
• Vortex ring-like structures in gasoline fuel sprays [Electronic resource]Sazhin, Sergei; Kaplanski, Felix; Begg, Steven; Heikal, MorganProceedings of the JUMY International Automotive Conference and Exhibition : XXII Science and Motor Vehicles 2009 : Belgrade, 14-16 April, 20092009 / Paper 31 [CD-ROM] https://www.ilasseurope.org/ICLASS/ILASS2008_COMO/file/papers/6-5.pdf
• Vortex ring-like structures in gasoline fuel sprays under cold-start conditionsBegg, Steven; Kaplanski, Felix; Sazhin, Sergei; Hindle, M.; Heikal, MorganInternational journal of engine research2009 / 4, p. 195-214 https://www.researchgate.net/publication/239580543_Vortex_ring-like_structures_in_gasoline_fuel_sprays_under_cold-start_conditions
• Vortex rings in a viscous fluid : asymptotic theory and numerical simulationsKaplanski, Felix; Fukumoto, Yasuhide; Sazhin, SergeiEUROMECH Fluid Mechanics Conference 7 : University of Manchester, 14-18 September 2008 : abstracts2008 / p. 169 : ill https://www.researchgate.net/profile/Felix-Kaplanski/publication/278299986_Vortex_rings_in_a_viscous_fluid_Asymptotic_theory_and_numerical_simulations/links/557e835008aeb61eae248274/Vortex-rings-in-a-viscous-fluid-Asymptotic-theory-and-numerical-simulations.pdf
• Vortex rings in internal combustion engines : modelling versus experimentSazhin, Sergei; Kaplanski, Felix; Begg, Steven; Heikal, MorganProceedings of the 19th International Simposium on Transport Phenomena (ISTP-19) : Reykjavik, Iceland, August 17-20, 20082008 / p. 133-140 https://www.researchgate.net/profile/Felix-Kaplanski/publication/278242750_Vortex_rings_in_internal_combustion_engines_modelling_versus_experiment/links/557ed2e208aec87640ddea88/Vortex-rings-in-internal-combustion-engines-modelling-versus-experiment.pdf