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TECHNICAL PAPERS: Forced Convection

Numerical Study of Steady Forced Convection in a Grooved Annulus Using a Design of Experiments

[+] Author and Article Information
Yannick Sommerer, Guy Lauriat

University of Marne-la-Vallée, Cité Descartes, Bldg. Lavoisier, Champs-sur-Marne, F-77454 Marne-la-Vallée Cedex 2

J. Heat Transfer 123(5), 837-848 (Feb 09, 2001) (12 pages) doi:10.1115/1.1388299 History: Received May 23, 2000; Revised February 09, 2001
Copyright © 2001 by ASME
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References

Gazley,  C., 1958, “Heat-Transfer Characteristics of the Rotational and Axial Flow Between Concentric Rotating Cylinders,” Trans. ASME, 80, pp. 79–90.
Tachibana,  F., and Fukui,  S., 1964, “Convective Heat Transfer on the Rotational and Axial Flow Between Two Concentric Cylinders,” Bull. JSME, 7, pp. 385–391.
Yamada,  Y., 1962, “Torque Resistance of a Flow Between Rotating Coaxial Cylinders Having Axial Flow,” Bulletin JSME, 5, No. 5, pp. 634–642.
Lee,  Y. N., and Minkowycz,  W. J., 1989, “Heat Transfer Characteristics of the Annulus of Two Coaxial Cylinders With One Cylinder Rotating,” Int. J. Heat Mass Transf., 32, pp. 711–722.
Murphy,  J. Y., and Patankar,  S. V., 1983, “Numerical Study of Heat Transfer From a Rotating Cylinder With External Longitudinal Fins,” Numer. Heat Transfer, 6, No. 4, pp. 463–473.
Hayase,  T., Humphrey,  J. A. C., and Greif,  R., 1992, “Numerical Calculations of Convective Heat Transfer Between Rotating Coaxial Cylinders With Periodically Embedded Cavities,” ASME J. Heat Transfer, 114, pp. 589–596.
Ziouchi, A., 1996, “Contribution à l’analyze et à la modélisation des échanges convectifs dans un entrefer de moteur électrique fermé”, Ph.D. thesis, Université de Poitiers, France.
Sommerer, Y., Lauriat, G., and Desrayaud, G., 1999, “Convection forcée dans l’entrefer rainuré d’un moteur électrique,” Proceedings of the SFT 99 Conference, Elsevier, Paris, pp. 185–190.
Pecheux, J., Bousgarbies, J. L., and Bellenoue, M., 1997, “Instabilité de Taylor entre un cylindre lisse tournant et un cylindre fixe encoché,” C. R. Acad. Sci Paris, série II b, pp. 159–163.
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Gardiner,  S. R., and Sabersky,  R. H., 1978, “Heat Transfer in an Annular Gap,” Int. J. Heat Mass Transf., 21, pp. 1459–1466.
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Figures

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Definition of the geometry
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Comparison of mean Nusselt number with experimental results and numerical predictions 10
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Flow regimes and variations of Tac versus the axial aspect ratio
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Iso-uθ[0(0.1)1] near the first transition in the plane I for A=20
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Variation of the mean friction coefficient with the axial aspect ratio for Ta=300 (three-dimensional computations).
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Local Nusselt number and friction coefficient along the inner cylinder for Ta=1300
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Isothermal patterns [0(0.1)1] for various configurations of cross sections with R=1.0526 and at Ta=1000: (a) Rg=1.20,θp=30 deg,θg=10 deg (b) Rg=1.02,θp=30 deg,θg=10 deg (c) Rg=1.20,θp=30 deg,θg=24 deg; and (d) Rg=1.20,θp=120 deg,θg=10 deg
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Variations of Cf and Nu versus Ta for different radius ratios
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Variation of the tangential velocity-component for Ta=100 versus the curvature function: (a) R=1.007; and (b) R=1.11
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Variations of the mean Nusselt number: (a) Nu versus Ta for various Rg; and (b) Nu versus Rg for various Ta
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Variations of Cf and Nu versus Ta for various θp
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Variations of Cf and Nu versus Ta for various θg
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Comparisons between calculations and correlation about the mean friction coefficient: (a) Cf versus R; (b) Cf versus Rg; (c) Cf versus θp; (d) Cf versus θg; and (e) Cf versus Ta.
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Comparison between calculations and correlation about the mean Nusselt number: (a) Nu versus R; (b) Nu versus Rg; (c) Nu versus θp; (d) Nu versus θg

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