Numerical simulations have been performed to study the effects of the gravitational and the centrifugal potentials on the stability of heated, incompressible Taylor-Couette flow. The flow is confined between two differentially heated, concentric cylinders, and the inner cylinder is allowed to rotate. The Navier-Stokes equations and the coupled energy equation are solved using a spectral method. To validate the code, comparisons are made with existing linear stability analysis and with experiments. The code is used to calculate the local and average heat transfer coefficients for a fixed Reynolds number (Re = 100) and a range of Grashof numbers. The investigation is primarily restricted to radius ratios 0.5 and 0.7 for fluids with Prandtl number of about 0.7. The variation of the local coefficients of heat transfer on the cylinder surface is investigated, and maps showing different stable states of the flow are presented. Results are also presented in terms of the equivalent conductivity, and show that heat transfer decreases with Grashof number in axisymmetric Taylor vortex flow regime, and increases with Grashof number after the flow becomes nonaxisymmetric.
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Research Papers
Numerical Simulations of Heat Transfer in Taylor-Couette Flow
R. Kedia,
R. Kedia
Department of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
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M. L. Hunt,
M. L. Hunt
Department of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
e-mail: hunt@cco.caltech.edu
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T. Colonius
T. Colonius
Department of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
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R. Kedia
Department of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
M. L. Hunt
Department of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
e-mail: hunt@cco.caltech.edu
T. Colonius
Department of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125
J. Heat Transfer. Feb 1998, 120(1): 65-71 (7 pages)
Published Online: February 1, 1998
Article history
Received:
April 11, 1997
Revised:
October 23, 1997
Online:
January 7, 2008
Citation
Kedia, R., Hunt, M. L., and Colonius, T. (February 1, 1998). "Numerical Simulations of Heat Transfer in Taylor-Couette Flow." ASME. J. Heat Transfer. February 1998; 120(1): 65–71. https://doi.org/10.1115/1.2830066
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