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The European Physical Journal Special Topics

, Volume 219, Issue 1, pp 155–165 | Cite as

Periodically excited Marangoni convection in a locally heated liquid layer

  • Igor I. Wertgeim
  • Marat A. Kumachkov
  • Alexander B. Mikishev
Regular Article
  • 101 Downloads

Abstract

The results of the numerical simulation of weakly-supercritical thermocapillary convection in a thin liquid layer with a free deformable upper boundary and an inhomogeneous nonstationary heat source (a pulsating thermal spot, localized in space and periodically modulated in time) are presented.

Keywords

European Physical Journal Special Topic Liquid Layer Linear Stability Analysis Marangoni Number Amplitude Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    G.Z. Gershuni, E.M. Zhukhovitsky, Convective Stability of Incompressible Fluid (Nauka, Moscow, 1972), p. 392 (in Russian, English translation: Keter, Jerusalem, 1976)Google Scholar
  2. 2.
    A.A. Nepomnyashchy, M.G. Velarde, P. Colinet, Interfacial phenomena and convection (Chapman & Hall/CRC, Boca Raton, 2002), p. 365Google Scholar
  3. 3.
    G.Z. Gershuni, A.A. Nepomnyashchy, M.G. Velarde, Phys. Fluids A. 4, 2394 (1992)MathSciNetADSzbMATHCrossRefGoogle Scholar
  4. 4.
    B. Smorodin, A. Mikishev, A. Nepomnyashchy, B. Myznikova, Phys. Fluids 21, 062102 (2009)ADSCrossRefGoogle Scholar
  5. 5.
    A. Mikishev, A. Nepomnyashchy, B. Smorodin, J. Phys.: Conf. Ser. 216, 012004 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    A.I. Mizev, J. Appl. Mech. Tech. Phys. 45, 486 (2004)ADSCrossRefGoogle Scholar
  7. 7.
    A.I. Mizev, J. Appl. Mech. Tech. Phys. 45, 699 (2004)ADSCrossRefGoogle Scholar
  8. 8.
    S. Karlov, D. Kazenin, B. Myznikova, I. Wertgeim, J. Nonequilibrium Thermodyn. 30, 283 (2005)ADSzbMATHGoogle Scholar
  9. 9.
    M.A. Kumachkov, I.I. Wertgeim, Comput. Continuum Mech. 2, 57 (2009) (in Russian)CrossRefGoogle Scholar
  10. 10.
    A. Golovin, A. Nepomnyashchy, L. Pismen, Physica D 81, 117 (1995)zbMATHCrossRefGoogle Scholar
  11. 11.
    A.A. Golovin, A.A. Nepomnyashchy, L.M. Pismen, Int. J. Bif. Chaos 12, 2487 (2002)MathSciNetzbMATHCrossRefGoogle Scholar
  12. 12.
    Th. Boeck, C. Karcher, Interfacial Fluid Dynamics and Transport Processes: Lecture Notes in Physics, vol. 628 (Springer, 2003), p. 157Google Scholar
  13. 13.
    S. Hoyas, H. Herrero, A.M. Mancho, Theoret. Comput. Fluid Dyn. 18, 309 (2004)ADSzbMATHCrossRefGoogle Scholar
  14. 14.
    M.C. Navarro, A.M. Mancho, H. Herrero, Chaos 17, 023105 (2007)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • Igor I. Wertgeim
    • 1
  • Marat A. Kumachkov
    • 2
  • Alexander B. Mikishev
    • 3
    • 4
  1. 1.Inst. of Continuous Media Mech.Ural Branch RASPermRussia
  2. 2.Perm Engine CompanyPermRussia
  3. 3.Physics DepartmentSam Houston State UniversityHuntsvilleUSA
  4. 4.Strayer University — Katy CampusHoustonUSA

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