Optimum Design of a Geometrically Asymmetric Trapezoidal Fin Based on the Fixed Fin Base Height

고정된 핀 바닥 높이에 기준한 기하학적 비대칭 사다리꼴 핀의 최적 설계

  • Published : 2008.11.01

Abstract

A geometrically asymmetric trapezoidal fin with variable fin base thickness and height is optimized based on the fixed fin base height using a one-dimensional analytic method. The temperature profile along the normalized X position in the fin is presented. For the fixed fin base height, the optimum heat loss, fin length and efficiency as a function of inside fluid convection characteristic number, fin base thickness and height, fin shape factor, convection characteristic numbers ratio and ambient convection characteristic number are represented. One of the results shows that the effect of fin base height and ambient convection characteristic number on the optimum values is remarkable.

Keywords

References

  1. S. Sikka and M. Iqbal, "Temperature Distribution and Effectiveness of a Two-Dimensional Radiating and Convecting Circular Fin," AIAA Journal, Vol.8, pp.101-106, 1970 https://doi.org/10.2514/3.5612
  2. A. G. Mikhail, "Fin Gaps and Body Slots: Effects and Modeling for Projectiles and Missiles," J. Spacecraft, Vol.25, No.5, pp.345-353, 1988 https://doi.org/10.2514/3.26011
  3. Y. H. Kim and H. S. Kang, "Analysis of a Modified Plate Fin for Enhanced Performance of a Plate Fin Heat Exchanger," Transactions of the KSAE, Vol.9, No.3, pp.84-91, 2001
  4. P. Razelos, "A Critical Review of Extended Surface Heat Transfer," Heat Transfer Engineering, Vol.24, No.6, pp.11-28, 2003 https://doi.org/10.1080/714044411
  5. B. T. F. Chung, M. H. Abdalla and F. Liu, "Optimization of Convective Longitudinal Fin of Trapezoidal Profile," Chem. Eng. Comm., Vol.80, pp.211-223, 1989 https://doi.org/10.1080/00986448908940525
  6. K. Laror and H. Kalman, "The Effect of Tip Convection on the Performance and Optimum Dimensions of Cooling Fins," Int. Commun. Heat Mass Transfer, Vol.19, pp.359-362, 1992 https://doi.org/10.1016/0735-1933(92)90082-S
  7. L. T. Yu and C. K. Chen, "Optimization of Circular Fins with Variable Thermal Parameters," J. of the Franklin Institutes, Vol. 336(B), pp.77-95, 1999 https://doi.org/10.1016/S0016-0032(97)00021-5
  8. H. S. Kang and D. C. Look, Jr., "Optimization of a Thermally Asymmetric Convective and Radiating Annular Fin," Heat Transfer Engineering, Vol.28, pp.310-320, 2007 https://doi.org/10.1080/01457630601122609
  9. H. S. Kang, "Optimum Performance and Design of a Rectangular Fin," Int. J. Automotive Technology, Vol.8, No.6, pp.705-711, 2007
  10. S. M. Zubair, A. Z. Al-garni and J. S. Nizami, "The Optimal Dimensions of Circular Fins with Variable Profile and Temperature-Dependent Thermal Conductivity," Int. J. Heat Mass Transfer, Vol.39, No.16, pp.3431-3439, 1996 https://doi.org/10.1016/0017-9310(96)00011-7
  11. H. S. Kang and D. C. Look, Jr., "Optimization of Thermally and Geometrically Asymmetric Trapezoidal Fins," AIAA Journal of Thermophysics and Heat Transfer, Vol.18, No.1, pp.52-57, 2004 https://doi.org/10.2514/1.9121
  12. B. Kundu and P. K. Das, "Performance Analysis and Optimization of Elliptical Fins Circumscribing a Circular Tube," Int. J. Heat Mass Transfer, Vol.50, pp.173-180, 2007 https://doi.org/10.1016/j.ijheatmasstransfer.2006.06.043