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Active Control of the Onset of Convection in Porous Medium by Mechanical Vibration

  • A. Mojtabi
  • M. C. Charrier-Mojtabi
  • K. Maliwan
  • Y. Pedramrazi
Conference paper
Part of the NATO Science Series book series (NAII, volume 134)

Abstract

Theoretical studies of Rayleigh-Bénard convection subjected to sinusoidal acceleration modulations have been conducted by several workers. Linear and weakly nonlinear stability analyses have been developed by Gresho and Sani [4], Clever et al. [2] and by the Russian workers Gershuni and Lyubimov [3]. As shown by these studies, the Rayleigh number for the onset of synchronous convection increases with the frequency of vibration for a layer oscillating with constant vertical amplitude until a certain frequency of modulation is reached and at which the onset is in the form of subharmonic motions.

Keywords

Porous Medium Rayleigh Number Linear Stability Analysis Critical Rayleigh Number Vertical Vibration 
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References

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    Bardan, G. and Mojtabi, A. (2000). On the Horton-Rogers-Lapwood convective instability with vertical vibration. Phys. Fluids, 12, 1–9.MathSciNetCrossRefGoogle Scholar
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    Gershuni, G. Z. and Lyubimov, D. U. (1998). Thermal vibrational convection. Wiley, Chichester.Google Scholar
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    Gresho, P. M. and Sani, R. L. (1970). The effects of gravity modulation on the stability of heated fluid layer. J. Fluid Mech., 40, 783–803.zbMATHCrossRefGoogle Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • A. Mojtabi
    • 1
  • M. C. Charrier-Mojtabi
    • 2
  • K. Maliwan
    • 1
  • Y. Pedramrazi
    • 1
  1. 1.Institut de Mécanique des Fluides UMR CNRS-INP-UPS No. 5502Université Paul SabatierToulouse CedexFrance
  2. 2.Laboratoire d’Energétique EA810Université Paul SabatierToulouse CedexFrance

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