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Reviews of topical problems


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

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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.

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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)
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Îðèãèíàë: Äîëæàíñêèé Ô Â, Êðûìîâ Â À, Ìàíèí Ä Þ «Óñòîé÷èâîñòü è âèõðåâûå ñòðóêòóðû êâàçèäâóìåðíûõ ñäâèãîâûõ òå÷åíèé» ÓÔÍ 160 (7) 1–47 (1990); DOI: 10.3367/UFNr.0160.199007a.0001

References (114) ↓ Cited by (93) Similar articles (20)

  1. Fultz D Compendium Of Meteorology (Ed. J F Malone) (Boston: Am. Meteorol. Soc., 1951) p. 1235
  2. Hide R Qart. J. R. Meteorol. Soc. 79 161 (1953)
  3. Hide R, Mason P T Adv. Phys. 24 47 (1975)
  4. Dolzhanskii F V, Golitsyn G S. Izv. AN SSSR. Ser. «Fizika Atmosfery Okeana» 13 795 (1977); Dolzhanskii F V, Golitsyn G S Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 13 550 (1977)
  5. Nezlin M V Usp. Fiz. Nauk 150 3 (1986); Nezlin M V Sov. Phys. Usp. 29 807 (1986); Nezlin M V Usp. Fiz. Nauk 150 665 (1986)
  6. Nezlin M V, Snezhkin E Nelineinye Volny: Struktury i Bifurkatsii (Pod red. A. V. Gaponova-Grekhova, M. I. Rabinovicha) (M.: Nauka, 1987)
  7. Drazin P G, Reid W H Hydrodynamic Stability (Cambridge: Cambridge Univ. Press, 1981)
  8. Heurre P Philos. Trans. R. Soc. London (1408) 643 (1980)
  9. Busse F H J. Fluid Mech. 33 577 (1968)
  10. Landau L. D., Lifshits E. M. Gidrodinamika (M.: Nauka, 1986)
  11. Rossby C-G et al. Bull. Am. Meteorol. Soc. 18 201 (1937)
  12. Obukhov A. M. Izv. AN SSSR. Ser. Geograf. Geofiz. 13 281 (1949)
  13. Pedloski Dzh Geofizicheskaya Gidrodinamika (M.: Mir, 1984)
  14. Ertel H Meteorol. Z. 59 277 (1942)
  15. Kochin H. E., Kibel’ I. A., Roze N. V. Teoreticheskaya Gidromekhanika (M.: Fizmatgiz, 1963)
  16. Obukhov A. M. N. E. Kochin i Razvitie Mekhaniki (M.: Nauka, 1984) p. 84
  17. Kurganskii M. V., Tatarskaya M. S. Izv. AN SSSR. Ser. «FAO» 23 787 (1987); Kurganskii M V, Tatarskaya M S Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 23 587 (1987)
  18. Mclntyre M E, Norton U A J. Fluid Mech. 212 403 (1990)
  19. Obukhov A. M. Nauka i Chelovechestvo (M.: Znanie, 1989) p. 96
  20. Obukhov A. M. Usp. Mat. Nauk 38 (4) 101 (1983); Obukhov A M Russ. Math. Surv. 38 (1983)
  21. Dovzhenko V. A., Dolzhanskii F. B. Nelineinye Volny: Struktury i Bifurkatsii (Pod red. A. V. Gaponova-Grekhova, M. I. Rabinovicha) (M.: Nauka, 1987) p. 132
  22. Obukhov A. M. Turbulentnost’ i Dinamika Atmosfery (L.: Gidrometeoizdat, 1988)
  23. Charney J G Geophys. Publ. 17 1 (1948); perevod, Charni Dzh. G. Chislennye Metody Prognoza Pogody L.: Gidrometeoizdat (1960)
  24. Hasegawa A, McLennan C G , Kodama Y Phys. Fluids 22 2122 (1979)
  25. Monin A. S., Obukhov A. M. Izv. AN SSSR. Ser. Geofiz. (11) 1360 (1958)
  26. Monin A. S. Prognoz Pogody kak Zadacha Fiziki (M.: Nauka, 1965)
  27. Monin A. S. Teoreticheskie Osnovy Geofizicheskoi Gidrodinamiki (L.: Gidrometeoizdat, 1988)
  28. Charney J G J. Atmos. Sci. 28 1087 (1971)
  29. Mirabel’ A. P., Monin A. S. Izv. AN SSSR. Ser. «FAO» 16 1011 (1980)
  30. Voronovich A. G., Rybak S. A. Dokl. Akad. Nauk SSSR 239 1457 (1978)
  31. Romanova N. H. Izv. AN SSSR. Ser. «FAO» 23 (2) 357
  32. Petviashvili V. I. Pis’ma ZhETF 32 632 (1980); Petviashvili V I JETF Lett. 32 (11) 619 (1980)
  33. Romanova N. N., Tseitlin V. Yu. Izv. AN SSSR. Ser. «FAO» 19 796 (1983)
  34. Proudman I J. Fluid Mech. 1 505 (1956)
  35. Stewartson K J. Fluid Mech. 3 17 (1957)
  36. Grinspen Kh. Teoriya Vrashchayushchikhsya Zhidkostei (L.: Gidrometeoizdat, 1975)
  37. Gershuni G. Z., Zhukhovitskii E. M., Nepomnyashchii A. A. Konvektivnaya Ustoichivost’ Neszhimaemoi Zhidkosti (M.: Nauka, 1989)
  38. Obukhov A. M. Dokl. Akad. Nauk SSSR 145 1239 (1962); Obukhov A M Sov. Phys. Dokl. 7 (8) 682 (1963)
  39. Dolzhanskii F. V. Izv. AN SSSR. Ser. «FAO» 21 383 (1985)
  40. Zinov’ev A. T., Shtern V. H. Magn. Gidrodinamika (1) 24 (1987)
  41. Sergeev K. A., Shtern V. H. Magn. Gidrodinamika (3) 39; Sergeev K A, Shtern V N Magnetohydrodynamics 23 263 (1987)
  42. Landau L. D., Lifshits E. M. Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982)
  43. Lorents E. Priroda i Teoriya Obshchei Tsirkulyatsii Atmosfery (L.: Gidrometeoizdat, 1970)
  44. Lorenz E N J. Atmos. Sci. 29 258 (1972)
  45. Dolzhanskii F. V. Izv. AN SSSR. Ser. «FAO» 23 348 (1987)
  46. Dolzhanskii F V Nonlinear and Turbulent Processes in Physics: Proceedings of the 3rd International Workshop Kiev, April 13-26, 1987 Vol. 2 p. 25
  47. Dolzhanskii F. V., Kurganskii M. V., Chernous’ko Yu. L. Izv. AN SSSR. Ser. «FAO» 15 597 (1979)
  48. Chernous’ko Yu. L. Izv. AN SSSR. Ser. «FAO» 16 423 (1980); Chernous’ko Yu L Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 16 285 (1980)
  49. Dolzhanskii F. B. Izv. AN SSSR. Ser. «FAO» 17 563 (1981); Dolzhanskii F V Izv. Acad. Sci. USSR Atmos Oceanic Phys. 17 413 (1981)
  50. Lin’ Tszyatszyao Teoriya Gidrodinamicheskoi Ustoichivosti (M.: IL, 1958); Lin C C Theory Of Hydrodynamic Stability (Cambridge: Cambridge Univ. Press, 1955)
  51. Wasow W Ann. Math. 2 49 852 (1948)
  52. Betchov R., Kriminale V. Voprosy Gidrodinamicheskoi Ustoichivosti (M.: Mir, 1971)
  53. Meshalkin L. D., Sinai Ya. G. PMM 25 1140 (1961); Meshalkin L D, Sinai Ya G J. Appl. Math. Mech. 25 1700 (1961)
  54. Betchov R, Szewczyk A Phys. Fluids 6 1391 (1963)
  55. Drasin P G, Howard L N J. Fluid Mech. 14 257 (1962)
  56. Michalke A J. Fluid Mech. 19 543 (1964)
  57. Bondarenko N. F., Gak M. Z., Dolzhanskii F. V. Izv. AN SSSR. Ser. «FAO» 15 1017 (1979)
  58. Ponomarev V. M. Izv. AN SSSR. Ser. Mekhanika Zhidkosti Gaza (1) 3 (1980)
  59. Gledzer E. B., Dolzhanskii F. V., Obukhov A. M. Sistemy Gidrodinamicheskogo Tipa i Ikh Primenenie (M.: Nauka, 1981)
  60. Niino H J. Meteor. Soc. Jpn. 60 1001 (1982)
  61. Manin D. Yu. Izv. AN SSSR. Ser. «MZhG» (2) 19 (1989)
  62. Miles J W J. Fluid Mech. 16 209 (1963)
  63. Howard L N J. Fluid Mech. 16 333
  64. Dolzhanskii F. V. Izv. AN SSSR. Ser. «FAO» 13 201 (1977)
  65. Vishik S. M., Dolzhanskii F. V. Dokl. Akad. Nauk SSSR 238 1032 (1978)
  66. Miksad R W J. Fluid Mech. 56 695 (1972)
  67. Hussain A K M F Phys. Fluids 26 2816 (1983)
  68. Hide R, Titman C W J. Fluid Mech. 29 29 39 (1967)
  69. Niino H, Misawa N J. Atmos. Sci. 41 1992 (1983)
  70. Rabaud M, Couder Y J. Fluid Mech. 136 291 (1983)
  71. Dovzhenko V. A., Novikov Yu. V., Obukhov A. M. Izv. AN SSSR. Ser. «FAO» 15 1199 (1979)
  72. Dovzhenko V. A., Obukhov A. M., Ponomarev V. M. Izv. AN SSSR. Ser. «MZhG» (4) 27 (1981)
  73. Dovzhenko V. A., Krymov V. A., Ponomarev V. M. Izv. AN SSSR. Ser. «FAO» 20 693 (1984)
  74. Dovzhenko V. A., Krymov V. A. Izv. AN SSSR. Ser. «FAO» 23 14 (1987)
  75. Batchaev A. M., Dovzhenko V. A. Dokl. Akad. Nauk SSSR 273 582 (1983)
  76. Batchaev A. M. Izv. AN SSSR. Ser. «FAO» 24 844 (1988)
  77. Krymov V. A. Izv. AN SSSR. Ser. «MZhG» (2) 12 (1989)
  78. Krymov V. A., Manin D. Yu. Izv. AN SSSR. Ser. «FAO» 25 234 (1989)
  79. Yamagat, Kimura R K J. Meteor. Soc. Jpn. II 51 420 (1973)
  80. Manin D. Yu., Chernous’ko Yu. L. Izv. AN SSSR. Ser. «FAO» 26 483 (1990)
  81. Sommeria J, Meyers S, Swinney H Nature 331 689 (1988)
  82. Sommeria J., Meyers S., Swinney H. Nature 331 689 (1989); Sommeria J., Meyers S., Swinney H. Nature 337 58 (1989)
  83. Dovzhenko V. A., Krymov V. A. Izv. AN SSSR. Ser. «FAO» 19 534 (1983)
  84. Lorenz E N J. Atmos. Sci. 20 130 (1963)
  85. Klyatskin V. I. PMM 36 263 (1972)
  86. Green J S A J. Fluid Mech. 62 (1974)
  87. Stuart J T J. Fluid Mech. 9 353 (1960)
  88. Watson J J. Fluid Mech. 9 371 (1960)
  89. Churilov S. M., Shukhman I. G. J. Fluid Mech. 180 1 (1987); Churilov S. M., Shukhman I. G. J. Fluid Mech. 194 187 (1988)
  90. Churilov S. M. "Neustoichivost’ zonal’nogo sdvigovogo potoka: myagkii rezhim vozbuzhdeniya" Preprint ¹1988 (Irkutsk: SibIZMIR, 1988)
  91. Heurre P J. Mech. Theor. Appl. (S2) 121 (1983)
  92. Shikham I G J. Fluid Mech. 200 425 (1989)
  93. Yudovich V. I. Chislennye Metody Resheniya Zadach Matematicheskoi Fiziki (M.: Nauka, 1966)
  94. Yudovich V. I. Izv. AN SSSR. Ser. «MZhG» 32 (1973)
  95. Belotserkovskii S. O., Mirabel’ A. P., Chusov M. A. Izv. AN SSSR. Ser. «FAO» 14 11 (1978)
  96. Nepomnyashchii A. A. PMM 40 886 (1976)
  97. Nikolaenko B, She Z-S Topological Fluid Mechanics: Proceedings of IUTAM Symposium, Cambridge, England, August 13-18, 1989 (Eds H K Moffat, A Tsinober, 1989) p. 304
  98. Gertsenshtein S. Ya. Dokl. Akad. Nauk SSSR 231 1319 (1976); Gertsenshtein S Ya Sov. Phys. Dokl. 21 706 (1976)
  99. Gertsenshtein S. Ya., Lezin E. M., Shkadov V. Ya. II Vsesoyuznaya konferentsiya «Sovremennye problemy teplovoi konvektsii»: Tezisy dokladov (Perm’, 1975) p. 50
  100. Esch R E J. Fluid. Mech. Part 3 3 289 (1957)
  101. Manin D. Yu. Izv. AN SSSR. Ser. «FAO» 25 802 (1989)
  102. Chomaz J. M., Rabaud M., Basdevant S., Couder Y. J. Fluid Mech. 187 115 (1988)
  103. Krymov V. A. Izv. AN SSSR. Ser. «FAO» 24 475 (1988)
  104. Niino H J. Meteor. Soc. Jpn. II 60 1024 (1982)
  105. Manin D. Yu. "Teoriya ustoichivosti kvazidvumernykh zonal’nykh techenii s uchetom vneshnego treniya i effektov vrashcheniya" Avtoreferat dissertatsii... kand. fiz.-mat. nauk (M., 1989)
  106. Kraichnan R H Phys. Fluids 10 (7) (1967)
  107. Hopfinger E J J. Mech. Theor. Appl. (S2) 23 (1983)
  108. Monin A. S., Yaglom A. M. Statisticheskaya Gidromekhanika Vol. 1, 2 (M.: Nauka, 1965, 1967)
  109. Manin D. Yu. "O kharakternom razmere vikhrei v razvitykh kvazidvumernykh techeniyakh" Preprint ¹6 (M.: IFA AN SSSR, 1989)
  110. Manin D. Yu. Izv. AN SSSR. Ser. "FAO" 26 (6) (1990)
  111. Golitsyn G. S. Vvedenie v Dinamiku Planetnykh Atmosfer (L.: Gidrometeoizdat, 1973)
  112. Kuo H L J. Meteorol. 6 105 (1947)
  113. Rhines P B J. Fluid Mech. 69 417 (1975)
  114. Dolotin V. V., Fridman A. M. Dynamics Of Astrophysical Disks (Ed. J Sellowood) (Cambridge: Cambridge Univ. Press, 1989) p. 178
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