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Numerical solution for fully developed flow in heated curved tubes

Published online by Cambridge University Press:  20 April 2006

J. Prusa  and
L. S. Yao
J. Prusa
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801
L. S. Yao
Affiliation:
Department of Mechanical and Energy Systems Engineering, Arizona State University, Tempe, AZ 85287
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Abstract

Fully developed laminar flow for a horizontal heated curved tube is studied numerically. The tube is heated so as to maintain a constant axial temperature gradient. A physical model is introduced that accounts for the combined effects of both buoyancy and centrifugal force. Results, for a Prandtl number of one, are presented for a moderate range of Dean numbers and the product of the Reynolds and Rayleigh numbers. Detailed predictions of the flow resistance, the average heat-transfer rate and the secondary-flow streamlines are given. Also presented are results on the position of the local maxima of shear stress and heat-transfer rate. The numerical results reveal that the mass-flow rate is drastically reduced owing to the secondary flow for a given axial pressure gradient. Consequently, the total heat- transfer rate decreases for a more-curved tube as well as for a larger axial temperature gradient. A flow-regime map is provided to indicate the three basic regimes where (i) centrifugal force dominates, (ii) both buoyancy and centrifugal forces are important, and (iii) buoyancy force dominates.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 123 , October 1982 , pp. 503 - 522
Copyright
© 1982 Cambridge University Press

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