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
Bardan, G. and Mojtabi, A. (2000). On the Horton-Rogers-Lapwood convective instability with vertical vibration. Phys. Fluids, 12, 1–9.
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.
Gershuni, G. Z. and Lyubimov, D. U. (1998). Thermal vibrational convection. Wiley, Chichester.
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.
Nield, D. A. and Bejan, A. (1999). Convection in porous media (2nd edn). Springer, New York.
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
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