Averaged convection of a viscous fluid in a rotating horizontal annulus
- Paper number
IAC-13,A2,4,10,x19136
- Author
Prof. Victor Kozlov, Russian Federation
- Coauthor
Dr. Aleksey Vjatkin, PSHPU, Russian Federation
- Coauthor
Mr. Rustam Sabirov, PSPU, Russian Federation
- Year
2013
- Abstract
The threshold excitation of thermal vibrational convection [1] in horizontal rotating cylindrical layer of a low-viscous liquid was found and experimentally studied in [2]. Convective flows have the shape of rolls extending along the axis of rotation (two-dimensional flow). The characteristic size of the structure exceeds the thickness of the layer several times. When reducing the speed of rotation the toroidal vortex structures (three-dimensional flow) develop in a threshold way. The threshold of convection excitation is characterized by centrifugal Rayleigh number and modified vibration parameter [1]. The dimensionless speed of rotation which characterizes the effect of the Coriolis force plays an important role in the averaged convection [3]. In present paper the influence of this parameter on the threshold of thermal vibrational convection and heat transfer is investigated. It is found that the threshold curve (vibration parameter versus the dimensionless rotation speed) is U-shaped. The right branch (high frequency domain) is characterized by the separation of the thresholds of two-dimensional structures and three-dimensional ones. At left (low frequency) region both instability modes, toroidal vortices and longitudinal rolls, occur simultaneously. With the appearance and development of convective structures their azimuth drift relative to the cavity is registered. The dependence of the drift velocity on the dimensionless rotation velocity, speed of the cavity rotation and the temperature difference between the layer boundaries is studied. Acknowledgements: the work was done in the frame of Strategic Development Program of PSHPU (project 029-F) with partial support of Ministry of Education and Science of RF (task 1.2783.2011) and RFBR (grant 12-08-31379). Bibliography 1. V.G. Kozlov. Thermal vibrational convection in rotating cavities // Fluid Dynamics. 2004. V. 39. N 1. P. 3–11. 2. A.A. Vjatkin, A.A. Ivanova, V.G. Kozlov. Convective stability of a nonisothermal fluid in a rotating horizontal coaxial gap // Fluid Dynamics. 2010. V. 45. N 1. P. 10–18. 3. A.A. Ivanova, V.G. Kozlov, V.V. Rylova. Thermal convection in a plane layer rotating about a horizontal axis // Fluid Dynamics. 2003. V. 38. N 1. P. 9–17.
- Abstract document
- Manuscript document
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