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Submerged Landau jet: exact solutions, their meaning and application

 a,  b
a Blekinge Institute of Technology, Karlskrona, Sweden
b Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

Exact hydrodynamic solutions generalizing the Landau submerged jet solution are reviewed. It is shown how exact inviscid solutions can be obtained and how boundary layer viscosity can be included by introducing parabolic coordinates. The use of exact solutions in applied hydrodynamics and acoustics is discussed. A historical perspective on the discovery of the class of exact solutions and on the analysis of their physical meaning is presented.

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Fulltext is also available at DOI: 10.3367/UFNe.0180.201001f.0097
PACS: 43.25.Nm, 47.10.ad, 47.10.−g, 47.15.Uv, 47.60.Kz (all)
DOI: 10.3367/UFNe.0180.201001f.0097
URL: https://ufn.ru/en/articles/2010/1/e/
000278717900005
2-s2.0-77954785162
2010PhyU...53...91B
Citation: Broman G I, Rudenko O V "Submerged Landau jet: exact solutions, their meaning and application" Phys. Usp. 53 91–98 (2010)
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Оригинал: Броман Г И, Руденко О В «Затопленная струя Ландау: точные решения, их смысл и приложения» УФН 180 97–104 (2010); DOI: 10.3367/UFNr.0180.201001f.0097

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  15. Lychagin V, Roop M Anal.Math.Phys. 10 (1) (2020)
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  18. Brutyan M A, Krapivsky P L Fluid Dyn 53 (S2) 1 (2018)
  19. Roop M 2018 Eleventh International Conference "Management of large-scale system development" (MLSD, (2018) p. 1
  20. Velmisov P A, Mizher U J, Semenova E P (AIP Conference Proceedings) Vol. 2048 (2018) p. 040012
  21. Bogovalov S, Kislov V, Tronin I J. Phys.: Conf. Ser. 788 012007 (2017)
  22. Artyshev S G Theor Math Phys 186 (2) 148 (2016)
  23. Aristov S N, Prosviryakov E Yu Theor Found Chem Eng 50 (3) 286 (2016)
  24. Aristov S N, Privalova V V, Prosviryakov E Y Nelin. Dinam. 167 (2016)
  25. Aristov S N, Prosviryakov E Yu Fluid Dyn 51 (5) 581 (2016)
  26. Bogovalov S V, Kislov V A, Tronin I V Theor. Comput. Fluid Dyn. 29 (1-2) 111 (2015)
  27. Lemanov V V, Terekhov V I et al Tech. Phys. Lett. 39 (5) 421 (2013)
  28. Betyaev S K J Eng Phys Thermophy 86 (2) 402 (2013)
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  30. Handbook of Nonlinear Partial Differential Equations, Second Edition (2011) p. 1795
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