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TECHNICAL NOTES

Performance Analysis and Optimization of Annular Fin With a Step Change in Thickness

[+] Author and Article Information
B. Kundu

Department of Mechanical Engineering, Jalpaiguri Government Engineering College, Jalpaiguri-735102, West Bengal, India

P. K. Das

Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur-721302, Indiae-mail: pkd@mech.iitkgp.ernet.in

J. Heat Transfer 123(3), 601-604 (Oct 26, 2000) (4 pages) doi:10.1115/1.1351165 History: Received August 10, 1999; Revised October 26, 2000
Copyright © 2001 by ASME
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References

Mikhailov, M. D., and Ozisik, M. N., 1984, Unified Analysis and Solutions of Heat and Mass Diffusion, Dover, New York.
Kern, Q. D., and Kraus, D. A., 1972, Extended Surface Heat Transfer, McGraw-Hill, New York.
Duffin,  R., 1959, “A Variational Problem Relating to Cooling Fins,” J. Math. Mech., 8, pp. 47–56.
Liu,  C. Y., 1962, “A Variational Problem with Application to Cooling Fins,” J. Soc. Ind. Appl. Math., 10, pp. 19–29.
Mikk,  I., 1980, “Convective Fin of Minimum Mass,” Int. J. Heat Mass Transf., 23, No. 5, pp. 707–710.
Guceri,  S., and Maday,  C. J., 1975, “A Least Weight Circular Cooling Fins,” ASME J. Ind., 97, pp. 1190–1193.
Brown,  A., 1965, “Optimum Dimensions of Uniform Annular Fins,” Int. J. Heat Mass Transf., 8, pp. 662–665.
Ulman,  A., and Kalman,  H., 1987, “Efficiency and Optimized Dimensions of Annular Fins of Different Cross-Section Shapes,” Int. J. Heat Mass Transf., 32, pp. 1105–1110.
Kundu,  B., and Das,  P. K., 1999, “Performance Analysis and Optimization of Eccentric Annular Disc Fins,” ASME J. Heat Transfer, 105, pp. 529–536.
Hollands,  K. G. T., and Stedman,  B. A., 1992, “Optimization of an Absorber Plate Fin Having a Step Change in Local Thickness,” Sol. Energy, 49, pp. 493–495.
Stoecker, W. F., 1989, Design of Thermal Systems, McGraw-Hill, New York.
Schmidt,  E., , 1926, “Die Warmenbertrangung Durch Rippen,” Z. VDI, 70, pp. 885–951.
Scarborough, J. B., 1966, Numerical Mathematical Analysis, Oxford and IBH Publishing Co. Pvt. Ltd., New Delhi, Sixth ed., pp. 215–223.

Figures

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Annular fin with a step change in thickness
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Temperature distribution of AFST
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Comparison between concentric fins and AFSTs with same fin volume and outer radius
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Variation of optimum design parameters of AFSTs with fin volume: (a) maximum heat transfer rate; (b) optimum radius ratio; and (c) optimum fin thickness
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Variation of the maximum rate of heat dissipation with volume for a restricted fin length

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