DOI QR코드

DOI QR Code

Optimization of Geometrically, Thermally Asymmetric Trapezoidal Fins with a View of Effectiveness

유용성의 측면에서 기하학적, 열적 비대칭 사다리꼴 휜의 최적화

  • 강형석 (강원대학교 기계ㆍ메카트로닉스공학부)
  • Published : 2003.05.01

Abstract

Optimum fin effectiveness of geometrically and thermally asymmetric trapezoidal fins is represented as a function of the ratio of the fin bottom to top Biot numbers, the ratio of the fin tip to top Biot numbers and fin shape factor. Optimum fin effectiveness is taken as 98% of the maximum fin effectiveness by comparing the increasing rate of fin effectiveness with that of dimensionless fin length. For this analysis, two dimensional separation of variables method is used. Also, the value of the slope of upper surface of the fin and fin efficiency corresponding to optimum effectiveness are presented.

Keywords

References

  1. Donovan, R. C. and Rohrer, W. M., 1971, 'Radiative and Convective Conducting Fins on a Plane Wall,' ASME J. of Heat Transfer, Vol. 93, No. 1, pp. 41-46 https://doi.org/10.1115/1.3449763
  2. Kundu, B. and Das, P. K., 1999, 'Performance Analysis of Eccentric Annular Fins with a Variable Base Temperature,' Numerical Heat Transfer, Part A, Vol. 36, pp. 751-766 https://doi.org/10.1080/104077899274552
  3. Bowman, W. J., Moss, T. W., Maynes, D. and Paulson, K. A., 2000, 'Efficiency of a Constant- Area, Adiabatic Tip Heat Pipe Fin,' AIAA J. of Thermophysics and Heat Transfer, Vol. 14, No. 1, pp. 112-115 https://doi.org/10.2514/2.6497
  4. Sikka, S. and Iqbal, M., 1970, 'Temperature Distribution and Effectiveness of a Two-Dimensional Radiating and Convecting Circular Fin,' AIAA Journal, Vol. 8, No. 1, pp. 101-106 https://doi.org/10.2514/3.5612
  5. Kang, H. S. and Look, D. C. Jr., 2001, 'Thermally Asymmetric Triangular Fin Analysis,' AIAA J. of Thermophysics and Heat Transfer, Vol. 15, No. 4, pp. 427-430 https://doi.org/10.2514/2.6646
  6. Gerencser, D. S. and Razan, A., 1995, 'Optimization of Radiative-Convective Arrays of Pin Fins Including Mutual Irradiation Between Fins,' Int. J. Heat Mass Transfer, Vol. 38, No. 5, pp. 899-907 https://doi.org/10.1016/0017-9310(94)00197-4
  7. Ullmann, A. and Kalman, H., 1989, 'Efficiency and Optimized Dimensions of Annular Fins of Different Cross-Section Shapes', Int. J. Heat Mass Transfer, Vol. 32, pp. 1105-1110 https://doi.org/10.1016/0017-9310(89)90010-0
  8. Yu. L. T. and Chen, C. K., 1999, 'Optimization of Circular Fins with Variable Thermal Parameters,' J. Franklin Inst., 336(B), pp. 77-95 https://doi.org/10.1016/S0016-0032(97)00021-5
  9. Bejan, A. and Almogbel, M., 2000, 'Constructed T-shaped fins,' Int. J. Heat Mass Transfer, Vol. 43, pp. 2101-2115 https://doi.org/10.1016/S0017-9310(99)00283-5
  10. Look, D. C. and Kang, H. S., 1992, 'Optimization of a Thermally Non-Symmetric Fin; Preliminary Evalution,' Int. J. Heat Mass Transfer, Vol. 34, No. 4-5, pp. 2057-2060 https://doi.org/10.1016/0017-9310(92)90207-9
  11. Kang, H. S., 2001, 'Optimization of a 3-D Thermally Asymmetric Rectangular Fin,' KSME International Journal, Vol. 15, No. 11, pp. 1541-1547
  12. Kang, H. S., 1999, 'A Comparison of Four Solution Methods for the Analysis of a Trapezoidal Fin,' KSME International Journal, Vol. 13, No. 6, pp. 487-495 https://doi.org/10.1007/BF02947718