Abstract
The stability of the average flow in a laterally heated fluid layer is investigated. The flow is driven by the joint action of the gravity force and vertical high-frequency vibrations. Three-dimensional longwave perturbations are analytically considered. A comparison with the numerical results obtained earlier shows that this instability mode is the most dangerous over a wide parameter range.
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REFERENCES
G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of an Incompressible Fluid [in Russian], Nauka, Moscow (1972).
G. Z. Gershuni and D. V. Lyubimov, Thermal Vibrational Convection, Wiley, N. Y. et al. (1998).
V. A. Demin, G. Z. Gershuni, and I. V. Verkholantsev, “Mechanical quasi-equilibrium and thermovibrational convective instability in an inclined fluid layer,” Int. J. Heat and Mass Transfer, 39, No. 9, 1979 (1996).
G. Z. Gershuni and E. M. Zhukhovitskii, “Plane advective flows in a vibrational field,” Inzh.-Fiz. Zh., 56, No. 2, 238 (1989).
R. V. Birikh, “Vibrational convection in a plane layer with a longitudinal temperature gradient,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 12 (1990).
R. V. Birikh and T. N. Katanova, “Stabilization of an advective flow by transverse vibration,” in: Vibrational Effects in Hydrodynamics [in Russian], Perm' University Press, Perm' (1998), P. 25.
A. N. Sharifulin, “Stability of convectivemotion in an vertical layer in the presence of longitudinal vibration,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 186 (1983).
V. A. Demin and S. V. Shklyaev, “Stability of a vibroconvective flow in an inclined layer heated from the side,” Vibrational Effects in Hydrodynamics [in Russian], Perm' University Press, Perm' (2000) (in press).
S. M. Zen'kovskaya and I. B. Simonenko, “Effect of high-frequency vibration on the onset of convection,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 51 (1966).
G. Z. Gershuni, E. M. Zhukhovitsky, and A. A. Nepomnyashchii, Stability of Convective Flows [in Russian], Nauka, Moscow (1989).
L. M. Braverman, “On the vibrational-convective instability of a plane fluid layer in weightlessness,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 178 (1984).
L. M. Braverman, “Some types of vibrational-convective instability of a plane fluid layer in weightlessness,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 4 (1987).
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Shklyaev, S.V. Stability of Vibroconvective Flow in an Inclined Layer with Respect to Three-Dimensional Perturbations. Fluid Dynamics 36, 682–690 (2001). https://doi.org/10.1023/A:1013008515642
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DOI: https://doi.org/10.1023/A:1013008515642