RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1990

 / 

July

←  →

Reviews of topical problems


Stability and vortex structures of quasi-two-dimensional shear flows

, ,

This review is devoted to the theoretical description and laboratory modeling of quasi-two-dimensional shear flows (including flows in thin layers of liquid and in rotating systems). Such flows are of interest in connection with the possibility of the appearance of ordered vortex structures in them as a result of the shear instability. The main attention is devoted to theoretical models in which the friction of the liquid against the underlying surface is taken into account. Comparing the theoretical results with laboratory data shows that friction plays the decisive role in the appearance and evolution of vortex structures. As an application, the large-scale dynamics of the earth's atmosphere is studied.

Fulltext pdf (1.3 MB)
Fulltext is also available at DOI: 10.1070/PU1990v033n07ABEH002605
PACS: 47.32.cd, 47.32.Ef, 47.20.Ft, 47.65.−d, 92.60.−e (all)
DOI: 10.1070/PU1990v033n07ABEH002605
URL: https://ufn.ru/en/articles/1990/7/a/
Citation: Dolzhanskii F V, Krymov V A, Manin D Yu "Stability and vortex structures of quasi-two-dimensional shear flows" Sov. Phys. Usp. 33 (7) 495–520 (1990)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Должанский Ф В, Крымов В А, Манин Д Ю «Устойчивость и вихревые структуры квазидвумерных сдвиговых течений» УФН 160 (7) 1–47 (1990); DOI: 10.3367/UFNr.0160.199007a.0001

References (114) Cited by (95) ↓ Similar articles (20)

  1. Kostrykin S V, Yakushkin I G Izvestiâ Akademii Nauk SSSR. Fizika Atmosfery I Okeana 60 (2) (2024)
  2. Kostrykin S V, Yakushkin I G Izv. Atmos. Ocean. Phys. 60 109 (2024)
  3. McCloughan J, Suslov S A J. Fluid Mech. 980 (2024)
  4. Yakushkin I G Izv. Atmos. Ocean. Phys. 59 150 (2023)
  5. Yakushkin I G Izvestiâ Akademii Nauk SSSR. Fizika Atmosfery I Okeana 59 173 (2023)
  6. Burmasheva N, Ershkov S et al Fluids 8 123 (2023)
  7. Hwang Ya-H, Su D-T, Yu Ju-L Chinese Journal Of Physics 77 92 (2022)
  8. Reutov V P, Rybushkina G V Izv. Atmos. Ocean. Phys. 58 440 (2022)
  9. Yakushkin I G Izv. Atmos. Ocean. Phys. 58 7 (2022)
  10. Suri B 33 (9) (2021)
  11. Reinbold P A K, Kageorge L M et al Nat Commun 12 (1) (2021)
  12. Dobrokhotov S Yu, Nazaikinskii V E, Shafarevich A I Russ. Math. Surv. 76 745 (2021)
  13. Dobrokhotov S Yu, Nazaikinskii V E, Shafarevich A I Uspekhi Matematicheskikh Nauk 76 3 (2021)
  14. McCloughan J, Suslov S A J. Fluid Mech. 887 (2020)
  15. Onishchenko O G, Pokhotelov O A et al Uspekhi Fizicheskikh Nauk 190 732 (2020) [Onishchenko O G, Pokhotelov O A et al Phys.-Usp. 63 683 (2020)]
  16. Reutov V P, Rybushkina G V 32 (10) (2020)
  17. Antar G, Lalti A, Habchi C 31 (7) (2019)
  18. Reutov V P, Rybushkina G V European Journal Of Mechanics - B/Fluids 74 211 (2019)
  19. Dobrokhotov S Yu, Nazaikinskii V E (AIP Conference Proceedings) Vol. 2048 (2018) p. 040026
  20. López Z A, Zavala S L 30 (4) (2018)
  21. Kostrykin S V J. Exp. Theor. Phys. 127 167 (2018)
  22. Poznyak I M, Safronov V M, Zybenko V Yu Phys. Atom. Nuclei 80 1261 (2017)
  23. Suslov S A, Pérez-Barrera Ja, Cuevas S J. Fluid Mech. 828 573 (2017)
  24. Chefranov S G, Chefranov A G J. Exp. Theor. Phys. 125 714 (2017)
  25. Machicoane N, Moisy F, Cortet P-P Phys. Rev. Fluids 1 (7) (2016)
  26. Kozlov N V, Kozlova A N, Shuvalova D A 28 (11) (2016)
  27. Chefranov S G J. Exp. Theor. Phys. 122 759 (2016)
  28. Kalashnik M V, Chkhetiani O G Fluid Dyn 51 606 (2016)
  29. Kalashnik M V, Khapaev A A, Chkhetiani O G Fluid Dyn 51 167 (2016)
  30. González V A S, Zavala S L 27 (3) (2015)
  31. Kostrykin S  V, Khapaev A  A, Yakushkin I  G J. Fluid Mech. 753 217 (2014)
  32. Sokolovskiy M A, Verron Ja Atmospheric And Oceanographic Sciences Library Vol. Dynamics of Vortex Structures in a Stratified Rotating FluidDynamics of Discrete Vortices47 Chapter 2 (2014) p. 37
  33. Kozlov V G, Kozlov N V, Subbotin S V Dokl. Phys. 59 40 (2014)
  34. Suri B, Tithof Je et al 26 (5) (2014)
  35. Efimov V V, Yarovaya D A Izv. Atmos. Ocean. Phys. 49 201 (2013)
  36. Gledzer A E, Gledzer E B et al Izv. Atmos. Ocean. Phys. 49 187 (2013)
  37. Dolzhansky F V Encyclopaedia Of Mathematical Sciences Vol. Fundamentals of Geophysical HydrodynamicsStability of Quasi-two-dimensional Shear Flows with Arbitrary Velocity Profiles103 Chapter 22 (2013) p. 195
  38. Dolzhansky F V Encyclopaedia Of Mathematical Sciences Vol. Fundamentals of Geophysical HydrodynamicsKolmogorov Flow and the Role of Surface Friction103 Chapter 21 (2013) p. 189
  39. Dolzhansky F V Encyclopaedia Of Mathematical Sciences Vol. Fundamentals of Geophysical HydrodynamicsFriction in a Turbulent Boundary Layer103 Chapter 23 (2013) p. 205
  40. Rozanova O S, Yu Ju-L, Hu Ch-K Nonlinear Analysis: Real World Applications 13 1941 (2012)
  41. Reutov V P, Rybushkina G V J Appl Mech Tech Phy 53 356 (2012)
  42. Ivanova A A, Kozlov N V, Subbotin S V Fluid Dyn 47 683 (2012)
  43. Duran-Matute M, Kamp L P J et al J. Fluid Mech. 691 214 (2012)
  44. Kostrykin S V, Khapaev A A, Yakushkin I G Jetp Lett. 95 515 (2012)
  45. Dobrokhotov S Yu, Nekrasov R V, Tirozzi B J Eng Math 69 225 (2011)
  46. Kostrykin S V, Khapaev A A, Yakushkin I G J. Exp. Theor. Phys. 112 344 (2011)
  47. Duran-Matute M, Trieling R R, van Heijst G J F Phys. Rev. E 83 (1) (2011)
  48. Gledzer A E, Gledzer E B et al J. Exp. Theor. Phys. 113 516 (2011)
  49. Romanova N N, Yakushkin I G Izv. Atmos. Ocean. Phys. 46 360 (2010)
  50. Malikova N P, Permyakov M S Fluid Dyn 45 905 (2010)
  51. Rozanova O S, Yu Ju-L, Hu Ch-K Nonlinear Analysis: Real World Applications 11 1847 (2010)
  52. Shagalov S V, Reutov V P, Rybushkina G V Izv. Atmos. Ocean. Phys. 46 95 (2010)
  53. Shagalov S V, Reutov V P, Rybushkina G V Dokl. Earth Sc. 425 322 (2009)
  54. Ponomarev V M, Khapaev A A, Yakushkin I G Dokl. Earth Sc. 425 510 (2009)
  55. Dobrokhotov S Yu, Tirozzi B, Vargas C A Russ. J. Math. Phys. 16 228 (2009)
  56. Kakhiani V O, Patarashvili K I et al Izv. Atmos. Ocean. Phys. 45 403 (2009)
  57. Shagalov S V, Reutov V P, Rybushkina G V Izv. Atmos. Ocean. Phys. 45 629 (2009)
  58. Khapaev A A, Kostrykin S V, Yakushkin I G Springer Proceedings In Physics Vol. Advances in Turbulence XIILarge scale quasi-2D structures and the problem of nonlinear bottom friction132 Chapter 106 (2009) p. 443
  59. Ponomarev V M, Khapaev A A, Yakushkin I G Izv. Atmos. Ocean. Phys. 44 45 (2008)
  60. Dobrokhotov S Yu, Shafarevich A I, Tirozzi B Russ. J. Math. Phys. 15 192 (2008)
  61. Kalashnik M V, Tsakadze S J et al Environ Fluid Mech 8 313 (2008)
  62. Kalashnik M V, Kakhiani V O et al Fluid Dyn 43 380 (2008)
  63. L’vov V S, Nazarenko S Jetp Lett. 83 541 (2006)
  64. Koshel’ K V, Prants S V Uspekhi Fizicheskikh Nauk 176 1177 (2006)
  65. Zhvaniya M A, Kalashnik M V et al Fluid Dyn 41 224 (2006)
  66. Kalashnik M V, Mamatsashvili G R et al Quart J Royal Meteoro Soc 132 505 (2006)
  67. Maslov V P Mathematical Events of the Twentieth Century Chapter 9 (2006) p. 163
  68. Dobrokhotov S Yu, Semenov E S, Tirozzi B Math Notes 78 740 (2005)
  69. Dobrokhotov S Yu, Dobrokhotov S Yu i dr Matem. Zametki 78 796 (2005)
  70. Dobrokhotov S, Semenov E, Tirozzi B Developments In Mathematics Vol. Zeta Functions, Topology and Quantum PhysicsA Perturbative Theory of the Evolution of the Center of Typhoons14 Chapter 3 (2005) p. 31
  71. Dobrokhotov S Yu, Dobrokhotov S Yu i dr Teor. Mat. Fiz. 139 62 (2004)
  72. Danilov S, Dolzhanskii F V et al Phys. Rev. E 65 (3) (2002)
  73. Danilov S V, Dovzhenko V A et al J. Exp. Theor. Phys. 95 48 (2002)
  74. Satijn M P, Cense A W et al 13 1932 (2001)
  75. Fetter A L, Svidzinsky A A J. Phys.: Condens. Matter 13 R135 (2001)
  76. BABKIN E A, BRAILOVSKAYA V A et al International Journal Of Computational Fluid Dynamics 13 185 (2000)
  77. Danilov S D, Gurarie D Uspekhi Fizicheskikh Nauk 170 921 (2000)
  78. Dobrokhotov S Yu, Dobrokhotov S Yu Teor. Mat. Fiz. 125 491 (2000)
  79. Khomenko G, Babiano A Phys. Rev. Lett. 83 84 (1999)
  80. Vol. Proceedings ISDEIV. 18th International Symposium on Discharges and Electrical Insulation in Vacuum (Cat. No.98CH36073)On the formation of large-scale structures under the interaction of the high-power ion and electron flows with the surface of molten metalP.V.PorytskyyG.S.KyrychenkoV.Ya.PorytskyA.D.Shevelev2 (1998) p. 665
  81. Martin B K, Wu X L et al Phys. Rev. Lett. 80 3964 (1998)
  82. Fukuta H, Murakami Y Phys. Rev. E 57 449 (1998)
  83. Dobrokhotov S Yu, Dobrokhotov S Yu Teor. Mat. Fiz. 112 47 (1997) [Dobrokhotov S Yu Theor Math Phys 112 827 (1997)]
  84. Danilov S D, Dolzhanskii F V et al 6 297 (1996)
  85. Gotoh K, Murakami Y, Matsuda N 7 302 (1995)
  86. Fukuta H, Murakami Y J. Phys. Soc. Jpn. 64 3725 (1995)
  87. Murakami Y, Murakami M, Gotoh K Phys. Rev. E 51 5128 (1995)
  88. Murakami Y, Fukuta H, Gotoh K Nonlinear Instability of Nonparallel Flows Chapter 27 (1994) p. 320
  89. Danilov S D, Dolzhanskii F V, Krymov V A 4 299 (1994)
  90. Manin D Yu Nonlinear Processes in Physics Springer Series In Nonlinear Dynamics Chapter 57 (1993) p. 305
  91. Dolzhanskii F V, Manin D Yu Geophysical & Astrophysical Fluid Dynamics 72 93 (1993)
  92. Nycander J J. Fluid Mech. 254 561 (1993)
  93. Churilov S M, Shukhman I G J. Fluid Mech. 243 155 (1992)
  94. Manin D Yu 4 1715 (1992)
  95. Dolzhanskii F V, Krymov V A, Manin D Yu J. Fluid Mech. 241 705 (1992)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions