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Kang C, Yoshikawa HN, Ntarmouchant Z, Prigent A, Mutabazi I. Solitary-like and modulated wavepackets in the Couette-Taylor flow with a radial temperature gradient. Philos Trans A Math Phys Eng Sci 2023; 381:20220117. [PMID: 36709773 DOI: 10.1098/rsta.2022.0117] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/10/2022] [Accepted: 12/08/2022] [Indexed: 06/18/2023]
Abstract
We have performed numerical and experimental studies of the flow in a large aspect ratio Couette-Taylor system with a rotating inner cylinder and a fixed radial temperature gradient. The base flow state is a superposition of an azimuthal flow induced by rotation and an axial large convective cell induced by the temperature gradient. For a relatively large temperature gradient, the rotation rate of the inner cylinder destabilizes the convective cell to give rise to travelling wave pattern through a subcritical bifurcation. This wave pattern is associated with a temperature mode and it consists of helical vortices travelling in the annulus. In a small range of the rotation rate, helical vortices have longitudinal meandering leading to the formation of kinks randomly distributed, leading to spatio-temporal disordered patterns. The flow becomes regular for a large interval of rotation rate. The friction, the momentum and the heat transfer coefficients are computed and found to be independent of the heating direction. This article is part of the theme issue 'Taylor-Couette and related flows on the centennial of Taylor's seminal Philosophical Transactions paper (part 1)'.
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Affiliation(s)
- Changwoo Kang
- Normandie Université, UNIHAVRE, Laboratoire Ondes et Milieux Complexes (LOMC), UMR CNRS 6294, 53 rue de Prony, CS 80540, 76058 Le Havre Cedex, France
- Department of Mechanical Engineering, Jeonbuk National University, 567 Baekje-daero, Deokjin-gu, Jeonju-si, Jeollabuk-do 54896, Republic of Korea
| | | | - Ziad Ntarmouchant
- Normandie Université, UNIHAVRE, Laboratoire Ondes et Milieux Complexes (LOMC), UMR CNRS 6294, 53 rue de Prony, CS 80540, 76058 Le Havre Cedex, France
| | - Arnaud Prigent
- Normandie Université, UNIHAVRE, Laboratoire Ondes et Milieux Complexes (LOMC), UMR CNRS 6294, 53 rue de Prony, CS 80540, 76058 Le Havre Cedex, France
| | - Innocent Mutabazi
- Normandie Université, UNIHAVRE, Laboratoire Ondes et Milieux Complexes (LOMC), UMR CNRS 6294, 53 rue de Prony, CS 80540, 76058 Le Havre Cedex, France
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