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.
Skip Nav Destination
e-mail: rajesh@rrt.arco.com
e-mail: hunt@caltech.edu
e-mail: colonius@caltech.edu
Article navigation
Research Papers
Transition of Chaotic Flow in a Radially Heated Taylor-Couette System
R. Kedia,
R. Kedia
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
e-mail: rajesh@rrt.arco.com
Search for other works by this author on:
M. L. Hunt,
M. L. Hunt
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
e-mail: hunt@caltech.edu
Search for other works by this author on:
T. Colonius
T. Colonius
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
e-mail: colonius@caltech.edu
Search for other works by this author on:
R. Kedia
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
e-mail: rajesh@rrt.arco.com
M. L. Hunt
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
e-mail: hunt@caltech.edu
T. Colonius
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
e-mail: colonius@caltech.edu
J. Heat Transfer. Aug 1999, 121(3): 574-582 (9 pages)
Published Online: August 1, 1999
Article history
Received:
July 7, 1998
Revised:
March 26, 1999
Online:
December 5, 2007
Citation
Kedia, R., Hunt, M. L., and Colonius, T. (August 1, 1999). "Transition of Chaotic Flow in a Radially Heated Taylor-Couette System." ASME. J. Heat Transfer. August 1999; 121(3): 574–582. https://doi.org/10.1115/1.2826018
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
Stabilization of Buoyancy-Driven Unstable Vortex Flow in Mixed
Convection of Air in a Rectangular Duct by Tapering Its Top Plate
J. Heat Transfer (February,2000)
Effect of Temperature Dependent Fluid Properties on Heat Transfer in Turbulent Mixed Convection
J. Heat Transfer (February,2014)
Related Chapters
Applications
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Laminar Fluid Flow and Heat Transfer
Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine
Extended Surfaces
Thermal Management of Microelectronic Equipment, Second Edition