Abstract:
The influence of high-frequency horizontal vibrations on convection in the Hele–Shaw cell located in a uniform gravity field is considered experimentally and theoretically. Nonlinear regimes of vibrational convection in the supercritical region are examined. It is shown that horizontal vibrations (directed toward the wide sides of the cell) decrease the threshold of quasi-equilibrium stability. Regions of existence of one- and two-vortex steady flows are found, and unsteady regular and random regimes of thermal vibrational convection are considered. New random regimes in the Hele-Shaw cell are found, which result from nonlinear interaction of the “lower” modes responsible for the formation of regular supercritical convective regimes.
Keywords:
thermal vibrational convection, Hele–Shaw cell, regular and random flows.
Citation:
I. A. Babushkin, V. A. Demin, “Vibrational convection in the Hele–Shaw cell. Theory and experiment”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006), 40–48; J. Appl. Mech. Tech. Phys., 47:2 (2006), 183–189
\Bibitem{BabDem06}
\by I.~A.~Babushkin, V.~A.~Demin
\paper Vibrational convection in the Hele--Shaw cell. Theory and experiment
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 2
\pages 40--48
\mathnet{http://mi.mathnet.ru/pmtf2127}
\elib{https://elibrary.ru/item.asp?id=16515860}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 2
\pages 183--189
\crossref{https://doi.org/10.1007/s10808-006-0041-0}
Linking options:
https://www.mathnet.ru/eng/pmtf2127
https://www.mathnet.ru/eng/pmtf/v47/i2/p40
This publication is cited in the following 8 articles:
Stanislav Subbotin, Alexei Vjatkin, Victor G. Kozlov, “EXPERIMENTAL STUDY OF PARAMETRIC OSCILLATIONS OF INTERFACE BETWEEN TWO IMMISCIBLE LIQUIDS IN A CONICAL THIN LAYER”, Interfac Phenom Heat Transfer, 13:1 (2025), 55
V. Navaneethakrishnan, M. Muthtamilselvan, “Exploring Enhanced Heat Transfer in a Ventilated Cavity through Thermal Vibration-Induced Convection: Under Microgravity and Terrestrial Conditions”, Microgravity Sci. Technol., 36:5 (2024)
Svetlana Anatolevna Nikulina, Anatolii Viktorovich Perminov, Tatyana Petrovna Lyubimova, “Konvektivnye rezhimy psevdoplasticheskoi zhidkosti v kvadratnoi polosti pri vozdeistvii vysokochastotnykh vibratsii v usloviyakh ponizhennoi gravitatsii”, Comp. Contin. Mech., 17:2 (2024), 202
E.A. Kolchanova, “Onset of thermal convection in a superposed fluid-porous layer subjected to high-frequency longitudinal vibration in weightlessness”, International Journal of Heat and Mass Transfer, 159 (2020), 120123
I. A. Babushkin, V. A. Demin, A. N. Kondrashov, D. V. Pepelyaev, “Thermal convection in a Hele-Shaw cell under the action of centrifugal forces”, Fluid Dyn, 47:1 (2012), 10
VALENTINA SHEVTSOVA, ILYA I. RYZHKOV, DENIS E. MELNIKOV, YURI A. GAPONENKO, ALIAKSANDR MIALDUN, “Experimental and theoretical study of vibration-induced thermal convection in low gravity”, J. Fluid Mech., 648 (2010), 53
A. Mialdun, I. I. Ryzhkov, D. E. Melnikov, V. Shevtsova, “Experimental Evidence of Thermal Vibrational Convection in a Nonuniformly Heated Fluid in a Reduced Gravity Environment”, Phys. Rev. Lett., 101:8 (2008)
D. E. Melnikov, I. I. Ryzhkov, A. Mialdun, V. Shevtsova, “Thermovibrational Convection in Microgravity: Preparation of a Parabolic Flight Experiment”, Microgravity Sci. Technol, 20:1 (2008), 29
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