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Oscillatory Swirling Flows in a Cylindrical Enclosure with Co-/Counter-Rotating end Disks Submitted to a Vertical Temperature Gradient

Brahim Mahfoud1, Rachid Bessaih1,2
LEAP Laboratory, Faculty of Engineering, Dept. of Mechanical Engineering, University of Mentouri-Constantine, Algeria.
Corresponding author: Bessaih.rachid@gmail.com, Phone/Fax: +213 31 81 88 63

Fluid Dynamics & Materials Processing 2012, 8(1), 1-26. https://doi.org/10.3970/fdmp.2011.008.001

Abstract

Oscillatory swirling flows in a cylindrical enclosure, having aspect ratio (height/radius) γ=2, filled with a liquid metal, and submitted to a destabilizing vertical temperature gradient (system heated from below) is investigated by means of direct numerical solution of the governing (continuity, radial and axial momentum,swirlandenergy)equations. The bottom and top disks are assumed to rotate at equal (co-rotating) and opposite (counter-rotating) angular velocities. The critical Reynoldsnumber,Recr and the critical frequency of oscillations, Fcr arecalculated as a function of the Richardson number, Ri, ranging between 0 and 4. Stability diagrams are presented, reflecting the results of the numerical investigation, which put in evidence the dependence of Recr and Fcr on Ri. In particular, it is found that the increase of Ri causes the decrease of Recr. The study is accompanied by a grid refinement and validation analysis based on comparison with other relevant results in the literature.

Keywords

Oscillatory, Co-/counter-rotating, Swirling flows, Cylinder.

Cite This Article

Mahfoud, B., Bessaih, R. (2012). Oscillatory Swirling Flows in a Cylindrical Enclosure with Co-/Counter-Rotating end Disks Submitted to a Vertical Temperature Gradient. FDMP-Fluid Dynamics & Materials Processing, 8(1), 1–26.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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