Theoretical and Experimental Study of Thermal Convection in Rotating Horizontal Annulus
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ORIGINAL ARTICLE
Theoretical and Experimental Study of Thermal Convection in Rotating Horizontal Annulus Aleksey Vjatkin 1
&
Ramil Siraev 2 & Victor Kozlov 1
Received: 14 April 2020 / Accepted: 30 August 2020 # Springer Nature B.V. 2020
Abstract The paper presents the results of theoretical and experimental studies of thermal convection in a rotating horizontal cylindrical liquid layer. A layer with boundaries of different temperatures both when heating from inside and outside is considered. Steady thermal convection is determined by two mechanisms: thermovibrational and centrifugal ones. The first one appears due to oscillations of nonisothermal liquid in the cavity frame caused by gravity. Both mechanisms manifest themselves in the formation of two-dimensional convective rolls, extended along the axis of rotation. It is shown that the results of the experimental study of the layer quasiequilibrium stability are in a good agreement with the results obtained in the framework of numerical calculation and linear theory. The structure of thermal convection and heat transport in the supercritical area of parameters is studied numerically, taking into account the slow azimuthal drift of the entire liquid layer in the direction opposite to the rotation of the cavity. The results of numerical simulation and experimental studies are consistent in the area of moderate and large values of the dimensionless velocity of rotation. Keywords Vibrational thermal convection . Rotation . Cylindrical layer . Heat transfer
Introduction Vibrational thermal convection (Gershuni and Lyubimov 1998) is an object of a large number of experimental and theoretical studies. In nature and technology, convective processes often occur under unsteady conditions, in particular, when the force fields periodically change in magnitude and direction. The vibration is an important example of oscillating force fields action. In the terrestrial conditions vibrations, on the one hand, generate new instability mechanisms, and on the other hand, significantly affect the stability thresholds of classical mechanisms. For example, translational vibrations of a cavity containing a nonisothermal liquid suppress the thermogravitational mechanism of convection or excite a thermovibrational one depending on
* Aleksey Vjatkin [email protected] 1
Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, 24, Sibirskaya Av, 614990 Perm, Russia
2
Department of Applied Physics, Perm National Research Polytechnic University, 29, Komsomolskiy prospect, 614990 Perm, Russia
the orientation of the vibration axis, external stationary force field, and temperature gradients (Demin et al. 1996; Smorodin et al. 2017). The case of non-transitional oscillations is considered in (Kozlov 1988; Ivanova and Kozlov 2003; Kozlov et al. 2019b). It is shown that the presence of a rotational component of vibrations provides a significant convective heat flux. Thus, vibrations are an effective tool for controlling heat and mass transfer, especially u
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