Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-19T13:15:22.304Z Has data issue: false hasContentIssue false

Taylor-Couette flow control using the outer cylinder cross-section variation strategy

Published online by Cambridge University Press:  31 January 2013

Hamid Oualli*
Affiliation:
Laboratory of Fluid Mechanics, Ecole Militaire Polytechnique, Bordj El Bahri, 16046 Algiers, Algeria
Adel Lalaoua
Affiliation:
Laboratory of Fluid Mechanics, Ecole Militaire Polytechnique, Bordj El Bahri, 16046 Algiers, Algeria
Samir Hanchi
Affiliation:
Laboratory of Fluid Mechanics, Ecole Militaire Polytechnique, Bordj El Bahri, 16046 Algiers, Algeria
Ahcene Bouabdallah
Affiliation:
Faculty of Physics, LTSE Laboratory, USTHB University, Bab Ezzouar, 16111 Algiers, Algeria
*
Get access

Abstract

A numerical study of a controlled flow evolving in a Taylor-Couette system is presented in this paper. The study is devoted to investigate the effect of the outer cylinder cross-section variation on the flow behavior. It is aimed to make assessment of the flow response in terms of the criticality of the early transitional flow regimes and the accompanying flow topology alterations. The numerical simulations are carried out on the Fluent software package for a three-dimensional incompressible flow. The basic system is characterized by a height H = 200 mm, a ratio of the inner to the outer cylinders radii η = 0.9, an aspect ratio corresponding to the cylinders height reported to the gap length Г = 40 and a ratio of the gap to the radius of the inner cylinder δ = 0.1. The numerical deformation of the outer cylinder is executed using the dynamic mesh program according to a predefined function implemented in a homemade program as an UDF (user defined function). It is established that the first instability mode of transition is retarded from Tac1 = 41.33, corresponding to the first Taylor number critical value, to Tac1 = 70 when the deforming amplitude is equal to 15% the external cylinder diameter value. This flow relaminarization process is accompanied by substantial modifications in the flow behavior and configuration.

Type
Research Article
Copyright
© EDP Sciences, 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Taylor, G.I., Phil. Trans. R. Soc. Lond. 223, 289 (1923)CrossRef
Egbers, C., Pfister, G., Physics of Rotating Fluids (Springer Verlag, New York, 2000)CrossRefGoogle Scholar
Couette, M., Ann. Chim. Phys. 21, 433 (1890)
Rayleigh, L., Proc. R. Soc. Lond. 93, 148 (1916)CrossRef
Di Prima, R.C., J. Fluid Mech. 9, 621 (1960)CrossRef
Chandrasekhar, S., Mathematika 1, 5 (1954), DOI: 10.1112/S0025579300000474CrossRef
Coles, D., J. Fluid Mech. 21, 385 (1965) DOI: 10.1017/S0022112065000241CrossRef
Burkhalter, J.E., Koschmieder, E.L., J. Fluid Mech. 58, 547 (1973)CrossRef
Gollub, J.P., Swinney, H.L., Phys. Rev. Lett. 35, 927 (1975)CrossRef
Bouabdallah, A., Instabilités et turbulence dans l’écoulement de Taylor–Couette , PhD Thesis, INPL, France, 1980
Sinha, M., Kevrekidis, Y.G., Smits, A.J., Spatial response of wavy vortex flow to axial oscillations of the inner cylinder, in 12th International Couette-Taylor Workshop, Evanston, IL, 2001Google Scholar
Czarny, O., Serre, E., Bontoux, P., Lueptow, R.M., Phys. Fluids 15, 467 (2003)CrossRef
Koschmieder, E.L., J. Fluid Mech. 93, 515 (1979)CrossRef
Mahfoud, M., Oualli, H., Contribution à l’étude de l’écoulement de Taylor-Couette avec le cylindre intérieur radialement déformable , mémoire de Magistère, Ecole Militaire Polytechnique, EMP, Algiers, Algeria, 2009Google Scholar
Oualli, H., Abdelali, A., Hanchi, S., Bouabdallah, A., Effect of the Inner Cylinder Cross-section Variation on the Taylor-Couette Flow with Free Surface, in CD-ROM Proceedings of the 9th European Fluid Mechanics conference (EuroMech9 2012), Universita Di Roma, Tor Vergata, Rome, Italy, 2012Google Scholar
Oualli, H., Lebbi, M., Hanchi, S., Bouabdallah, A., Taylor Vortex Flow Control using Radially Oscillating Inner Cylinder, in 23rd Int. Congress of Theoretical and applied Mechanics, ICTAM 2012, Beijing, China, 2012Google Scholar