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

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Emerging Technologies and Techniques in Porous Media

Part of the book series: NATO Science 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.

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References

  1. Bardan, G. and Mojtabi, A. (2000). On the Horton-Rogers-Lapwood convective instability with vertical vibration. Phys. Fluids, 12, 1–9.

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  2. Clever, R., Schubert, G. and Busse, F. M. (1993). Two-dimensional oscillatory convection in a gravitationally modulated fluid layer. J. Fluid Mech., 253, 663–80.

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  3. Gershuni, G. Z. and Lyubimov, D. U. (1998). Thermal vibrational convection. Wiley, Chichester.

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  4. 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.

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  5. Nield, D. A. and Bejan, A. (1999). Convection in porous media (2nd edn). Springer, New York.

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  6. Zen’Kovskaya, S. M. and Rogovenko, T. N. (1999). Filtration convection in a high-frequency vibration field. J. Appl. Mech., Tech. Phys., 40, 379–85.

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© 2004 Springer Science+Business Media Dordrecht

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Mojtabi, A., Charrier-Mojtabi, M.C., Maliwan, K., Pedramrazi, Y. (2004). Active Control of the Onset of Convection in Porous Medium by Mechanical Vibration. In: Ingham, D.B., Bejan, A., Mamut, E., Pop, I. (eds) Emerging Technologies and Techniques in Porous Media. NATO Science Series, vol 134. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0971-3_12

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  • DOI: https://doi.org/10.1007/978-94-007-0971-3_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1874-9

  • Online ISBN: 978-94-007-0971-3

  • eBook Packages: Springer Book Archive

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