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Amplitude Equations for Hexagonal Patterns of Convection in Non-Boussinesq Fluids

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Measures of Complexity and Chaos

Part of the book series: NATO ASI Series ((NSSB,volume 208))

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Abstract

Hexagonal patterns can be observed in a fluid heated from below, mainly in three situations: 1) when the upper surface has a temperature-dependent surface tension (Bénard-Marangoni convection)1, 2) when its transport coefficients vary with the temperature (non-Boussinesq convection)2 and 3) under a modulated heating.3 Convective patterns can be described by means of the so-called amplitude equations, that are obtained either from the hydrodynamic equations 4or simply from symmetry arguments.5 This system of equations is simpler than the hydrodynamic nonlinear equation and it is easily simulated in computers.6

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References

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Author information

Authors and Affiliations

  1. Dept. Física, Univ. Autònoma Barcelona, 08193, Bellaterra, Catalonia, Spain

    C. Pérez-García

  2. Departamento de Física, Universidad de Navarra, 31080, Pamplona, Navarra, Spain

    C. Pérez-García

  3. Istituto Nazionale di Ottica, Largo Enrico Fermi 6, 50125, Firenze, Italy

    E. Pampaloni & S. Ciliberto

Authors
  1. C. Pérez-García
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  2. E. Pampaloni
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  3. S. Ciliberto
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Editor information

Editors and Affiliations

  1. Department of Physics, Bryn Mawr College, 19010-2899, Bryn Mawr, Pennsylvania, USA

    Neal B. Abraham  & Alfonso M. Albano  & 

  2. Naval Air Development Center, 18974, Warminster, Pennsylvania, USA

    Anthony Passamante

  3. Department of Physiology and Biochemistry, The Medical College of Pennsylvania, 3300 Henry Ave., 19129, Philadelphia, Pennsylvania, USA

    Paul E. Rapp

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© 1989 Plenum Press, New York

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Pérez-García, C., Pampaloni, E., Ciliberto, S. (1989). Amplitude Equations for Hexagonal Patterns of Convection in Non-Boussinesq Fluids. In: Abraham, N.B., Albano, A.M., Passamante, A., Rapp, P.E. (eds) Measures of Complexity and Chaos. NATO ASI Series, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0623-9_56

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  • DOI: https://doi.org/10.1007/978-1-4757-0623-9_56

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0625-3

  • Online ISBN: 978-1-4757-0623-9

  • eBook Packages: Springer Book Archive

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