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UFN, 2010, Volume 180, Number 1, Pages 97–104 (Mi ufn878)  

This article is cited in 16 scientific papers (total in 16 papers)

METHODOLOGICAL NOTES

Submerged Landau jet: exact solutions, their meaning and application

G. I. Bromana, O. V. Rudenkob

a Blekinge Institute of Technology
b M. V. Lomonosov Moscow State University

Abstract: 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.

DOI: https://doi.org/10.3367/UFNr.0180.201001f.0097

Full text: PDF file (1266 kB)
Full text: http://www.ufn.ru/ru/articles/2010/1/f/
References: PDF file   HTML file

English version:
Physics–Uspekhi, 2010, 53:1, 91–98

Bibliographic databases:

PACS: 43.25.Nm, 47.10.ad, 47.10.-g, 47.15.Uv, 47.60.Kz
Received: October 5, 2009

Citation: G. I. Broman, O. V. Rudenko, “Submerged Landau jet: exact solutions, their meaning and application”, UFN, 180:1 (2010), 97–104; Phys. Usp., 53:1 (2010), 91–98

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. O. V. Rudenko, “The 40th anniversary of the Khokhlov-Zabolotskaya equation”, Acoust Phys, 56:4 (2010), 457  crossref  mathscinet  adsnasa  isi  elib  scopus
    2. Göran I. Broman, Oleg V. Rudenko, “Instability of water jet: Aerodynamically induced acoustic and capillary waves”, Acoust. Phys, 58:5 (2012), 537  crossref  isi  scopus
    3. Krektuleva R.A., “Tochnoe reshenie zadachi ob izoentropicheskom techenii nelineinoi gradientnoi sredy”, Izvestiya tomskogo politekhnicheskogo universiteta, 320:2 (2012), 100–103  elib
    4. Zhuravlev V.M., Zinovev D.A., “Integriruemye modeli dinamiki szhimaemoi sredy v sobstvennom pole tyagoteniya. metod podstanovok Koula – Khopfa”, Izvestiya vysshikh uchebnykh zavedenii. povolzhskii region. fiziko-matematicheskie nauki, 2012, no. 4, 174–190  elib
    5. V. V. Lemanov, V. I. Terekhov, K. A. Sharov, A. A. Shumeiko, “An experimental study of submerged jets at low reynolds numbers”, Tech. Phys. Lett, 39:5 (2013), 421  crossref  adsnasa  isi  elib  scopus
    6. S. K. Betyaev, “Sources of viscous liquid”, J Eng Phys Thermophy, 86:2 (2013), 402  crossref  scopus
    7. S. V. Bogovalov, V. A. Kislov, I. V. Tronin, “Waves in strong centrifugal fields: dissipationless gas”, Theor. Comput. Fluid Dyn, 2015  crossref  mathscinet  isi  elib  scopus
    8. S. Artychev, “Generalization of the Landau submerged jet solution”, Theoret. and Math. Phys., 186:2 (2016), 148–155  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    9. S. N. Aristov, V. V. Privalova, E. Yu. Prosviryakov, “Statsionarnoe neizotermicheskoe techenie Kuetta. Kvadratichnyi nagrev verkhnei granitsy sloya zhidkosti”, Nelineinaya dinam., 12:2 (2016), 167–178  mathnet  elib
    10. Aristov S.N., Prosviryakov E.Yu., “A new class of exact solutions for three-dimensional thermal diffusion equations”, Theor. Found. Chem. Eng., 50:3 (2016), 286–293  crossref  isi  elib  scopus
    11. Aristov S.N. Prosviryakov E.Yu., “Nonuniform convective Couette flow”, Fluid Dyn., 51:5 (2016), 581–587  crossref  mathscinet  zmath  isi  elib  scopus
    12. Bogovalov S., Kislov V., Tronin I., “Impact of Waves on the Circulation Flow in the Iguasu Gas Centrifuge”, V International Conference on Problems of Mathematical and Theoretical Physics and Mathematical Modelling, Journal of Physics Conference Series, 788, IOP Publishing Ltd, 2017, UNSP 012007  crossref  isi  scopus
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    14. Brutyan M.A., Krapivsky P.L., “Exact Solutions to the Steady Navier-Stokes Equations of Viscous Heat-Conducting Gas Flow Induced By the Plane Jet Issuing From the Line Source”, Fluid Dyn., 53:2 (2018), 1–10  crossref  isi  scopus
    15. Velmisov P.A., Mizher U.J., Semenova E.P., “Asymptotic Study of Nonlinear Viscous Gas Flows”, AIP Conference Proceedings, 2048, eds. Pasheva V., Popivanov N., Venkov G., Amer Inst Physics, 2018, 040012  crossref  isi
    16. Ma Y.-R., Jia W., Lin Sh.-R., Zhao Q., “Dirac Potential in a Rotational Dissipative Quantum System”, Sci Rep, 9 (2019), 1540  crossref  isi  scopus
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