When a flat metal ring falls from a certain height into a water tank, it generates a fountain that can shoot water high into the air. How does the maximum height of the fountain depend on the ring's parameters?
Oddly Satisfying: Object Falling into Water in Super Slow Motion (youtube, LoopVibe, 13.06.2025), https://www.youtube.com/shorts/xix7Bkdj-g8 Кумулятивные струи (youtube, GetAClass - Физика в опытах и экспериментах, 26.12.2023),https://youtu.be/suF5Q2x3-Wk Slow-motion Footage of Objects Falling in Water (youtube, Billy Zig, 02.12.2022), https://youtu.be/7KjBRGQGMFg Cumulative jets - Experiments in physics (youtube, GetAClass - Физика в опытах и экспериментах, 24.12.2015), https://youtu.be/-GEej63qXGo Wikipedia: Splash (fluid mechanics), https://en.wikipedia.org/wiki/Splash_(fluid_mechanics) *X. Li and J. Li. Worthington jets during water entry of spheres with no cavity formed (2024), arXiv:2412.16508 [physics.flu-dyn] *J. Belden, N. B. Speirs, A. M. Hellum, M. Jones, A. J. Paolero, and T. T. Truscott. Water entry of cups and disks. J. Fluid Mech. 963, A14 (2023), https://doi.org/10.1017/jfm.2023.330 *K. G. Bodily, S. J. Carlson, and T. T. Truscott. The water entry of slender axisymmetric bodies. Phys. Fluids 26, 7, 072108 (2014), https://doi.org/10.1063/1.4890832 *T. T. Truscott, B. P. Epps, and J. Belden. Water entry of projectiles. Annu. Rev. Fluid Mech. 46, 1, 355-378 (2014), https://doi.org/10.1146/annurev-fluid-011212-140753 *I. R. Peters, D. van der Meer, and J. M. Gordillo. Splash wave and crown breakup after disc impact on a liquid surface. J. Fluid Mech. 724, 553-580 (2013), https://doi.org/10.1017/jfm.2013.160
*S. Gekle and J. M. Gordillo. Generation and breakup of Worthington jets after cavity collapse. Part 1. Jet formation. J. Fluid Mech. 663, 293-330 (2010), https://doi.org/10.1017/S0022112010003526 *R. Bergmann, D. van der Meer, S. Gekle, A. van der Bos, and D. Lohse. Controlled impact of a disk on a water surface: cavity dynamics. J. Fluid Mech. 633, 381-409 (2009), arXiv:0804.0748 [physics.flu-dyn], https://doi.org/10.1017/S0022112009006983 *S. Gekle, J. M. Gordillo, D. van der Meer, and D. Lohse. High-speed jet formation after solid object impact. Phys. Rev. Lett. 102, 3, 034502 (2009), https://doi.org/10.1103/PhysRevLett.102.034502 *V. Duclaux, F. Caillé, C. Duez, C. Ybert, L. Bocquet, and C. Clanet. Dynamics of transient cavities. J. Fluid Mech. 591, 1-19 (2007), https://doi.org/10.1017/S0022112007007343 *C. Duez, C. Ybert, C. Clanet, and L. Bocquet. Making a splash with water repellency. Nat. Phys. 3, 3, 180-183 (2007), arXiv:cond-mat/0701093 [cond-mat.soft], https://doi.org/10.1038/nphys545 JR Minkel. Why dropping a stone makes a jet. Phys. Rev. Focus 23, 3 (2009), https://physics.aps.org/story/v23/st3 *J. M. Oliver. Water entry and related problems (PhD thesis, Univ. of Oxford, 2002), https://ora.ox.ac.uk/objects/uuid:9c144534-56f9-4485-80dc-993f3ed7530e В. В. Майер. Кумулятивный эффект в простых опытах. – М.: Наука, 1989, https://klex.ru/v1a
М. А. Лаврентьев и Б. В. Шабат. Проблемы гидродинамики и их математические модели.– М.: Наука, 1973. – стр. 291, 355, https://www.klex.ru/14rh *R. Bergmann, M. Stijnman, D. van der Meer, A. Prosperetti, and D. Lohse. Void collapse and jet formation: The impact of a disk on a water surface (Proc. ICTAM04, 2004), https://ris.utwente.nl/ws/portalfiles/portal/278033401/Bergmann2004void.pdf, http://fluid.ippt.gov.pl/ictam04/text/sessions/docs/FM10/11909/FM10_11909.pdf Worthington jets explanation: fluid phenomenon (physics.stackexchange.com, Jul 06, 2015), https://physics.stackexchange.com/questions/192860/worthington-jets-explanation-fluidphenomenon