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TECHNICAL NOTES

Enclosed Buoyant Convection With Internal Heat Generation Under Oscillating Sidewall Temperature

[+] Author and Article Information
Gi Bin Kim, Jae Min Hyun

Department of Mechanical Engineering, Korea Advanced Institute of Science & Technology, 373-1 Kusong-dong, Yusong-gu, Taejon 305-701, South Korea

Ho Sang Kwak

School of Mechanical Engineering, Kumoh National University of Technology, 188 Shinpyung-dong, Kumi, Kyongbuk 730-701, South Korea

J. Heat Transfer 124(3), 577-580 (May 10, 2002) (4 pages) doi:10.1115/1.1423908 History: Received April 03, 2001; Revised September 06, 2001; Online May 10, 2002

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References

Acharya,  S., and Goldstein,  R. G., 1985, “Natural Convection in An Externally Heated Vertical or Inclined Square Box Containing Internal Energy Sources,” ASME J. Heat Transfer, 107, pp. 855–866.
Antohe,  B. V., and Lage,  J. L., 1996, “Amplitude Effect on Convection Induced by Time-Periodic Horizontal Heating,” Int. J. Heat Mass Transf., 39, No. 6, pp. 1121–1133.
Bergholz,  R. F., 1980, “Natural Convection of a Heat Generating Fluid in a Closed Cavity,” ASME J. Heat Transfer, 102, pp. 242–247.
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Hayase,  T., Humphery,  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.
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Kwak,  H. S., and Hyun,  J. M., 1996, “Natural Convection in an Enclosure Having a Vertical Sidewall With Time-Varying Temperature,” J. Fluid Mech., 329, pp. 65–88.
Kwak,  H. S., Kuwahara,  K., and Hyun,  J. M., 1998, “Resonant Enhancement of Natural Convection Heat Transfer in a Square Enclosure,” Int. J. Heat Mass Transf., 41, pp. 2837–2846.
Lage,  J. L., and Bejan,  A., 1993, “The Resonance of Natural Convection in an Enclosure Heated Periodically From the Side,” Int. J. Heat Mass Transf., 36, pp. 2027–2038.
May,  H. O., 1991, “A Numerical Study on Natural Convection in an Inclined Square Enclosure Containing Internal Heat Sources,” Int. J. Heat Mass Transf., 34, No. 4, pp. 919–928.
Paolucci,  S., and Chenoweth,  D. R., 1989, “Transition to Chaos in a Differentially Heated Vertical Cavity,” J. Fluid Mech., 210, pp. 379–410.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill.

Figures

Grahic Jump Location
A(Nu*) versus ω plots: (a) RaI=108; (b) RaI=109; and (c) RaI=1010.
Grahic Jump Location
Time history of Nu* at resonance frequencies. RaI=1010. Symbols □, ▵, and ○ denote the positions, X=0.25, 0.5, and 0.75, respectively: (a) ω=0.065(≈ωr1); and (b) ω=0.082(≈ωr2).
Grahic Jump Location
Temperature fluctuations relative to the basic state. Y=0.5,RaI=1010: (a) ω=0.065(≈ωr1); and (b) ω=0.082(≈ωr2).

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