Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-10T14:54:58.196Z Has data issue: false hasContentIssue false
  • English
  • Français

Experimental and numerical study of vortex couples in two-dimensional flows

Published online by Cambridge University Press:  21 April 2006

Y. Couder  and
C. Basdevant
Y. Couder
Affiliation:
Groupe de Physique des Solides, Ecole Normale Supérieure, 24, rue Lhomond, 75231 Paris Cedex 05, France
C. Basdevant
Affiliation:
Laboratoire de Météorologie Dynamique, Ecole Normale Supérieure, 24, rue Lhomond, 75231 Paris Cedex 05, France
Get access Rights & Permissions [Opens in a new window]

Abstract

Two-dimensional turbulence is investigated experimentally in thin liquid films. This study shows the spontaneous formation of couples of opposite-sign vortices in von Kármán wakes. The structure of these couples, their behaviour and their role in turbulent flows is then studied using both a numerical simulation and laboratory results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 173 , December 1986 , pp. 225 - 251
Copyright
© 1986 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aref, H. & Siggia, E. D. 1981 J. Fluid Mech., 109, 435–463.
Babiano, A., Basdevant, C., Legras, B. & Sadourny, R. 1985 C. R. Acad. Sci. Paris 229, 601–604.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics, p. 535. Cambridge University Press.
Batchelor, G. K. 1969 Phys. Fluids Suppl. II 12, 233–239.
Basdevant, C., Couder, Y. & Sadourny, R. 1984 In Macroscopic Modelling of Turbulent Flows. Lecture Notes in Physics, vol. 230, Springer.
Basdevant, C., Legras, B., Sadourny, R. & Béland, M. 1981 J. Atmos. Sci. 38, 2306–2326.
Basdevant, C. & Sadourny, R. 1983 In Two Dimensional Turbulence. J. Méc. (numéro spécial), p. 243.
Brachet, M. E. 1986 Phys. Rev. Lett. 57, 683–686.
Chopra, K. P. & Hubert, L. F. 1964 J. Atmos. Sci. 22, 652–657.
Couder, Y. 1984 J. Phys. Lett. 45, 353–360.
Couder, Y., Basdevant, C. & Thomé, H. 1984 C. R. Acad. Sci. Paris 299, 89–94.
Deem, G. S. & Zabusky, N. J. 1978 In Solitons in Action (ed. Lonngren & Scott), p. 277–296. Academic.
Fornberg, B. 1977 J. Comput. Phys. 25, 1–31.
Flierl, G., Larichev, V., McWilliams, J. & Reznik, G. 1980 Dyn. Atmos. Oceans 5, 1–41.
Griffin, O. M. & Ramberg, S. E. 1976 J. Fluid Mech. 75, 257–271.
Hopfinger, E. J., Browand, F. K. & Gagne, Y. 1982 J. Fluid Mech. 125, 505–534.
Kraichnan, R. H. 1967 Phys. Fluids 10, 1417–1423.
Kraichnan, R. H. & Montgomery, D. 1980 Rep. Prog. Phys. 43, 547–619.
Lamb, H. 1916 Hydrodynamics, 4th edn., pp. 236–237. Cambridge University Press.
Larichev, V. & Reznik, G. 1976 Rep. Acad. Sci. USSR 231, 1077–1079.
Leith, C. E. 1968 Phys. Fluids 10, 1417–1423.
Mcwilliams, J. C. 1983 Geophys. Astrophys. Fluid Dyn. 24, 1–22.
Mcwilliams, J. C. 1984 J. Fluid Mech. 146, 21–43.
Mcwilliams, J. C., Flierl, G. R., Larichev, V. D. & Reznik, G. F. M. 1981 Dyn. Atmos. Oceans 5, 219–238.
Mcwilliams, J. C. & Zabusky, N. J. 1982 Geophys. Astrophys. Fluid Dyn. 19, 207–227.
Meiron, D. I., Saffman, P. G. & Schatzman, J. C. 1984 J. Fluid Mech. 147, 187–212.
Mysels, K. J., Shinoda, K. & Frankel, S. 1959 Soap Films, Studies of Their Thinning. Pergamon.
Pierrehumbert, R. T. 1980 J. Fluid Mech. 99, 129–144.
Rose, H. A. & Sulem, P. L. 1978 J. Phys. Paris 39, 441–484.
Roshko, A. 1954 NACA Tech. Note 1191.
Saffman, P. G. & Schatzman, J. C. 1982 J. Fluid Mech. 117, 171–185.
Sommeria, J. 1983 J. Méc. Suppl. 169.
Stern, M. E. 1975 J. Mar. Res. 33, 1–13.
Taneda, S. 1959 J. Phys. Soc. Japan 14, 843–848.
Taylor, G. I. 1959 Proc. R. Soc. Lond. A 253, 296.
Thomson, W. 1867 Phil. Mag. 34, 20.
Townsend, A. A. 1970 J. Fluid Mech. 41, 13–46.
Tsinober, A. B. 1975 Maguitnaya Gidrodinamika, no. 1, pp. 7–22.
Vrij, A., Hesselink, F. Th., Lucassen, J. & Van den Tempel, M. 1970 Proc. K. Ned. Akad. Wetensch. B 73, 124–135.
Zimmerman, L. I. 1969 J. Appl. Met. 8, 896–907.