Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지

A Rectangular Fin Optimization Including Comparison Between 1-D and 2-D Analyses

  • Kang, Hyung-Suk (Division of Mechanical and Mechatronics Engineering, Kangwon National University)
  • Published : 2006.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

Both 1-D and 2-D analytic methods are used for a rectangular fin optimization. Optimum heat loss is taken as 98% of the maximum heat loss. Temperature profile using 2-D analytic method and relative error of temperature along the fin length between 1-D and 2-D analytic methods are presented. Increasing rate of the optimum heat loss with the variation of Biot number and decreasing rate of that with the variation of the fin base length are listed. Optimum fin tip length using 2-D analytic method and relative error of that between 1-D and 2-D analytic methods are presented as a function of Biot numbers ratio.

Keywords

References

  1. Casarosa, C. and Franco, A., 2001, 'On the Optimum Thermal Design of Individual Longitudinal Fins with Rectangular Profile,' Heat Transfer Engineering, Vol. 22, No. 1, pp. 51-71 https://doi.org/10.1080/01457630150215721
  2. Chung, B. T. F., Abdalla, M. H. and Liu, F., 1989, 'Optimization of Convective Longitudinal Fins of Trapezoidal Profile,' Chem. Eng. Comm., Vol. 80, pp. 211-223 https://doi.org/10.1080/00986448908940525
  3. Hrymak, A. N., McRae, G. J. and Westerberg, A. W., 1985, 'Combined Analysis and Optimization of Extended Heat Transfer Surfaces,' ASME J. of Heat Transfer, Vol. 107, No. 3, pp.527-532 https://doi.org/10.1115/1.3247456
  4. Kang, H. S. and Chung, B. T. F., 2003, 'Two-Dimensional Analytical Solutions for Optimization of Convective Annular Fin of Rectangular Profile,' 2003 ASME International Mechanical Engineering Congress & Exposition, Washington, DC, IMECE2003-41508, Nov. 15-21
  5. Kang, H. S. and Look, D. C. Jr., 2004, 'Optimization of Thermally and Geometrically Asymmetric Trapezoidal Fins,' AIAA J. of Thermophysics and Heat Transfer, Vol. 18, No. 1, pp. 52-57 https://doi.org/10.2514/1.9121
  6. Kang, H. S., 2001, 'Optimization of a 3-D Thermally Asymmetric Rectangular Fin,' KSME International Journal, Vol. 15, No. 11, pp.1541-1547
  7. Razelos, P. and Satyaprakash, B. R., 1993, 'Analysis and Optimization of Convective Trapezoidal Profile Longitudinal Fins,' ASME J. of Heat Transfer, Vol. 115, No. 2, pp. 461-463 https://doi.org/10.1115/1.2910699
  8. Ullmann, A. and Kalman, H., 1989, 'Efficiency and Optimized Dimensions of Annular Fins of Different Cross-Section Shapes,' Int. J. of Heat and Mass Transfer, Vol. 32, pp. 1105-1110 https://doi.org/10.1016/0017-9310(89)90010-0
  9. Yeh, R. H., 1996, 'Errors in One-Dimensional Fin Optimization Problem for Convective Heat Transfer,' Int. J. of Heat and Mass Transfer, Vol. 39, No. 14, pp. 3075-3078 https://doi.org/10.1016/0017-9310(95)00331-2