Submerged Landau jet: exact solutions, their meaning and application

G.I. Broman^a, O.V. Rudenko^b
^aBlekinge Institute of Technology, Karlskrona, Sweden
^bLomonosov 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.

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/
Web of Science

000278717900005
Scopus

2-s2.0-77954785162
ADS NASA

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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

References (23) Cited by (33) Similar articles (20) ↓

O.V. Rudenko “Nonlinear dynamics of quadratically cubic systems” Phys. Usp. 56 683–690 (2013)
D.S. Agafontsev, E.A. Kuznetsov et al “Compressible vortex structures and their role in the onset of hydrodynamic turbulence” Phys. Usp. 65 189–208 (2022)
S.L. Sobolev “Local non-equilibrium transport models” Phys. Usp. 40 1043–1053 (1997)
P.N. Svirkunov, M.V. Kalashnik “Phase patterns of dispersive waves from moving localized sources” Phys. Usp. 57 80–91 (2014)
A.A. Abrashkin, E.N. Pelinovsky “Gerstner waves and their generalizations in hydrodynamics and geophysics” Phys. Usp. 65 453–467 (2022)
A.M. Gaifullin, V.V. Zhvick “Laminar submerged jets of incompressible fluid at large Reynolds numbers” Phys. Usp. 66 1142–1153 (2023)
E.A. Kuznetsov “Dislocations of soliton lattices: experiment and theory” Phys. Usp. 69 615–620 (2026)
A.A. Shatskii, I.D. Novikov, N.S. Kardashev “A dynamic model of the wormhole and the Multiverse model” Phys. Usp. 51 457–464 (2008)
N.V. Selina “Light diffraction in a plane-parallel layered structure with the parameters of a Pendry lens” Phys. Usp. 65 406–414 (2022)
V.B. Priezzhev “The dimer problem and the Kirchhoff theorem” Sov. Phys. Usp. 28 1125–1135 (1985)
O.V. Rudenko, B.B. Voronov, A.I. Korobov “Nonlinear acoustic waves in media with absorption and dispersion” Sov. Phys. Usp. 35 (9) 796–804 (1992)
M.B. Mensky “Measurability of quantum fields and the energy—time uncertainty relation” Phys. Usp. 54 519–528 (2011)
D.E. Smylie, V.V. Brazhkin, A. Palmer “Direct observations of the viscosity of Earth’s outer core and extrapolation of measurements of the viscosity of liquid iron” Phys. Usp. 52 79–92 (2009)
V.F. Kovalev, D.V. Shirkov “Renormalization-group symmetries for solutions of nonlinear boundary value problems” Phys. Usp. 51 815–830 (2008)
A.V. Shchagin “Fresnel coefficients for parametric X-ray (Cherenkov) radiation” Phys. Usp. 58 819–827 (2015)
V.G. Niz’ev “Dipole-wave theory of electromagnetic diffraction” Phys. Usp. 45 553–559 (2002)
S.E. Kuratov, D.S. Shidlovski et al “Two scales of quantum effects in a mesoscopic system of degenerate electrons” Phys. Usp. 64 836–851 (2021)
V.S. Beskin, T.I. Khalilov “On the problem of boundary conditions for mixed type equations arising in the description of astrophysical transonic flows” Phys. Usp. 66 741–746 (2023)
A.V. Kukushkin “A technique for solving the wave equation and prospects for physical applications arising therefrom” Phys. Usp. 36 (2) 81–93 (1993)
V.S. Beskin, V.I. Par’ev “Axially symmetric steady-state flows in the vicinity of a Kerr black hole and the nature of the activity of galactic nuclei” Phys. Usp. 36 (6) 529–539 (1993)

The list is formed automatically.