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TECHNICAL PAPERS: Forced Convection

Laminar Fluid Flow and Heat Transfer in a Lid-Driven Cavity Due to a Thin Fin

[+] Author and Article Information
Xundan Shi, J. M. Khodadadi

Mechanical Engineering Department, Auburn University, 201 Ross Hall, Auburn, AL 36849-5341

J. Heat Transfer 124(6), 1056-1063 (Dec 03, 2002) (8 pages) doi:10.1115/1.1517272 History: Received March 21, 2002; Revised August 12, 2002; Online December 03, 2002
Copyright © 2002 by ASME
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References

Fu,  W. S., Peng,  J. C., and Shiel,  W. J., 1989, “Transient Laminar Natural Convection in an Enclosure Partitioned by an Adiabatic Baffle,” Numer. Heat Transfer, Part A, 16, pp. 325–350.
Yamaguchi,  Y., and Asako,  Y., 2001, “Effect of Partition Wall on Natural Convection Heat Transfer in a Vertical Air Layer,” ASME J. Heat Transfer, 123, pp. 441–449.
Shankar,  P. N., and Deshpande,  M. D., 2000, “Fluid Mechanics in the Driven Cavity,” Annu. Rev. Fluid Mech., 32, pp. 93–136.
Ghia,  U., Ghia,  K. N., and Shin,  C. T., 1982, “High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method,” J. Comput. Phys., 48, pp. 387–411.
Prasad,  A. K., and Koseff,  J. R., 1996, “Combined Forced and Natural Convection Heat Transfer in a Deep Lid-Driven Cavity Flow,” Int. J. Heat Fluid Flow, 17, pp. 460–467.
Goodrich,  J. W., Gustafson,  K., and Halasi,  K., 1990, “Hopf Bifurcation in the Driven Cavity,” J. Comput. Phys., 90, pp. 219–261.
Shen,  J., 1991, “Hopf Bifurcation of the Unsteady Regularized Driven Cavity Flow,” J. Comput. Phys., 95, pp. 228–245.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere Pub. Co., Washington, DC.
Hayase,  T., Humphrey,  J. A. C., and Grief,  R., 1992, “A Consistently Formulated QUICK Scheme for Fast and Stable Convergence Using Finite-Volume Iterative Calculation Procedures,” J. Comput. Phys., 98, pp. 108–118.
Shi, X., 2002, “Fluid Flow and Heat Transfer within Enclosures with Fins and Partitions,” Ph.D. thesis, Department of Mechanical Engineering, Auburn University.
Torrance,  K., Davis,  R., Eike,  K., Gill,  P., Gutman,  D., Hsui,  A., Lyons,  S., and Zien,  H., 1972, “Cavity Flows Driven by Buoyancy and Shear,” J. Fluid Mech., 51, Part 2, pp. 221–231.

Figures

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Physical geometry and the coordinate system
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Steamlines and temperature fields for the lid-driven cavity without fins for Re=500, 1000, and 2000 (contour level increments of the primary vortex and temperature are 0.1 and 0.05, respectively)
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Flow fields for fins at different positions with Re=500: (a) l=0.05, (b) l=0.1, and (c) l=0.15
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Flow fields for fins at different positions with Re=2000: (a) l=0.05, (b) l=0.1, and (c) l=0.15
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Temperature fields for fins at different positions with Re=2000: (a) l=0.05, (b) l=0.1, and (c) l=0.15 (contour level increment of 0.05)
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Variation of the Nusselt number along four walls of the cavity with fins at different positions (Re=2000,l=0.15)
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Variation of NNR for every wall with fin’s position (Re=2000,l=0.15)
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Variation of the mean Nusselt number with positions of fins: (a) l=0.05, (b) l=0.1, and (c) l=0.15
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Curve fittings for the mean Nusselt number

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