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Transition of Chaotic Flow in a Radially Heated Taylor-Couette System

Kedia, R. and Hunt, M. L. and Colonius, T. (1999) Transition of Chaotic Flow in a Radially Heated Taylor-Couette System. Journal of Heat Transfer, 121 (3). pp. 574-582. ISSN 0022-1481. doi:10.1115/1.2826018. https://resolver.caltech.edu/CaltechAUTHORS:20190214-124414387

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Abstract

Numerical simulations have been performed to study the stability of heated, incompressible Taylor-Couette flow for a radius ratio of 0.7 and a Prandtl number of 0.7. As Gr is increased, the Taylor cell that has the same direction of circulation as the natural convection current increases in size and the counterrotating cell becomes smaller. The flow remains axisymmetric and the average heat transfer decreases with the increase in Gr. When the cylinder is impulsively heated, the counterrotating cell vanishes and n = 1 spiral is formed for Gr = 1000. This transition marks an increase in the heat transfer due to an increase in the radial velocity component of the fluid. By slowly varying the Grashof number, the simulations demonstrate the existence of a hysteresis loop. Two different stable states with same heat transfer are found to exist at the same Grashof number. A time-delay analysis of the radial velocity and the local heat transfer coefficient time is performed to determine the dimension at two Grashof numbers. For a fixed Reynolds number of 100, the two-dimensional projection of the reconstructed attractor shows a limit cycle for Gr = −1700. The limit cycle behavior disappears at Gr = −2100, and the reconstructed attractor becomes irregular. The attractor dimension increases to about 3.2 from a value of 1 for the limit cycle case; similar values were determined for both the local heat transfer and the local radial velocity, indicating that the dynamics of the temperature variations can be inferred from that of the velocity variations.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1115/1.2826018DOIArticle
ORCID:
AuthorORCID
Hunt, M. L.0000-0001-5592-2334
Colonius, T.0000-0003-0326-3909
Additional Information:© 1999 by ASME. Contributed by the Heat Transfer Division for publication in the Journal of Heat Transfer and presented at '98 IMECE, Anaheim. Manuscript received by the Heat Transfer Division, July 7, 1998; revision received, Mar. 26, 1999. This research was performed in part using the CSCC parallel computer system operated by Caltech on behalf of the Concurrent Supercomputing Consortium. Access to this facility was provided by Caltech. The authors would also like to thank Dr. A. Leonard at Caltech and Dr. R. D. Moser at University of Illinois at Urbana-Champagne for valuable discussions.
Issue or Number:3
DOI:10.1115/1.2826018
Record Number:CaltechAUTHORS:20190214-124414387
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190214-124414387
Official Citation:Kedia RR, Hunt ML, Colonius TT. Transition of Chaotic Flow in a Radially Heated Taylor-Couette System. ASME. J. Heat Transfer. 1999;121(3):574-582. doi:10.1115/1.2826018
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92940
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Feb 2019 05:48
Last Modified:16 Nov 2021 16:54

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