Il Nuovo Cimento D

, Volume 12, Issue 6, pp 781–792

Pattern selection in thermal convection in an annulus

  • S. Ciliberto
  • F. Bagnoli
  • M. Caponeri
Article

Summary

We report an analysis of the selected wave vector, as a function of the Rayleigh number, in thermal convection in annular geometry. The patterns have been studied by means of shadowgraph and, more quantitatively, with a sweeping laser beam. The selection processes have been investigated in cells of different sizes. We find that the wavevector increases for radial aspect ratios less than 2, whereas it decreases for larger aspect ratios. The thresholds for time-dependent regimes have also been measured.

PACS 47.20.Bp

Buoyancy-driven instability 

PACS 47.25.Qv

Convection and heat transfer 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    S. Chandrasekhar:Hydrodynamic and Hydromagnetic Stability (Clarendon Press, Oxford 1961).MATHGoogle Scholar
  2. [2]
    K. Stork andU. Mueller:J. Fluid Mech.,54, 599 (1972);71, 231 (1975).CrossRefADSGoogle Scholar
  3. [3]
    F. H. Busse andJ. A. Whithead,47, 305 (1971);G. E. Willis, J. W. Deardoff andR. C. Sommerville:J. Fluid. Mech.,54, 351 (1972);P. Kolodner, R. W. Walden, A. Passner andC. M. Surko:J. Fluid. Mech.,163, 195 (1986);M. Heutmaker andJ. P. Gollub:Phys. Rev. A,35, 242 (1987).Google Scholar
  4. [4] a)
    G. S. Charlson andR. L. Sani:J. Fluid. Mech.,71 (1975);b)I. Catton:J. Heat Mass Transfer,58, 665 (1972).CrossRefGoogle Scholar
  5. [5]
    F. H. Busse andR. M. Clever:J. Fluid Mech.,91, 319 (1979);E. W. Bolton, F. H. Busse andR. M. Clever:J. Fluid Mech.,164, 469 (1986).CrossRefADSGoogle Scholar
  6. [6]
    A. Pocheau, V. Croquette, P. Le Gal andC. Poitou:Europhys. Lett.,8, 915 (1987).CrossRefADSGoogle Scholar
  7. [7]
    S. Ciliberto andP. Bigazzi:Phys. Rev. Lett.,60, 286 (1988);S. Ciliberto:Proceedings of the N.A.T.O. Workshop, Cargese 1988.CrossRefADSGoogle Scholar
  8. [8]
    H. Chaté andP. Manneville:Phys. Rev. Lett.,58, 112 (1987);K. Kaneko:Prog. Theor. Phys.,74, 1033 (1985);B. Nicolaenko andH. Chaté:Proceedings of the N.A.T.O. Workshop, Cargese 1988.CrossRefADSGoogle Scholar
  9. [9]
    D. Bensimon:Phys. Rev. A,37, 200 (1988).CrossRefADSMathSciNetGoogle Scholar
  10. [10]
    M. Dubois, P. Bergé andA. Petrov:Proceedings of the N.A.T.O. Workshop, Cargese 1988.Google Scholar
  11. [11]
    W. Merzkirch:Flow Visualisation (Academic Press, New York, N. Y. 1974).Google Scholar
  12. [12]
    S. Ciliberto, F. Francini andF. Simonelli:Opt. Commun.,54, 381 (1985).CrossRefGoogle Scholar
  13. [13]
    S. H. Davis:J. Fluid Mech.,30, 465 (1967).MATHCrossRefADSGoogle Scholar
  14. [14]
    M. Dubois andP. Bergé:J. Phys. (Paris),42, 167 (1981);M. Dubois, M. Rubio andP. Bergé:Phys. Rev. Lett.,51, 1446 (1983);S. Ciliberto andM. A. Rubio:Phys. Rev. Lett.,58, 2652 (1987);A. Pocheau:J. Phys. (Paris),49, 1127 (1988).Google Scholar
  15. [15]
    M. Giglio, S. Musazzi andU. Perini:Phys. Rev. Lett.,53, 2402 (1984).CrossRefADSGoogle Scholar
  16. [16]
    R. Krishnamurti andL. N. Howard:Proc. Nat. Acad. Sci. USA,78, 1981 (1981);B. Castaign, G. H. Gunaratne, F. Heslot, L. Kadanoff, L. Libchaber, S. Thomae, X. Z. Wu, S. Zalesky andG. Zanetti:J. Fluid Mech., to be published, and references therein.CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1990

Authors and Affiliations

  • S. Ciliberto
    • 1
  • F. Bagnoli
    • 1
  • M. Caponeri
    • 1
  1. 1.Istituto Nazionale di OtticaFirenzeItalia

Personalised recommendations