Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Optimization of a 3-D Thermally Asymmetric Rectangular Fin

  • Published : 2001.11.01
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Abstract

The non-dimensional fin length for optimum heat loss from a thermally asymmetric rectangular fin is represented as a function of the ratio of the bottom surface Biot number to the top surface Biot number, fin tip surface Biot number and the non-dimensional fin width. Optimum heat loss is taken as 98% of the maximum heat loss. For this analysis, three dimensional separation of variables method is used. Also, the relation between the ratio of the bottom surface Biot number to the top surface Biot number and the ratio of the right surface Biot number to the left surface Biot number is presented.

Keywords

References

  1. Georgiou, E. N., 1998, 'Analysis and Optimization of Convective Pin Fins with Trapezoidal Profile having Internal Heat Generation Density,' J. Franklin Inst., Vol. 335B, No. 1, pp. 179-197 https://doi.org/10.1016/S0016-0032(96)00109-3
  2. 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
  3. Hrymak, A. N., McRae, G. J. and Westerberg, A. W., 1985, 'Combined Analysis and Optimization of Extened Heat Transfer Surfaces,' ASME J. Heat Trans., Vol. 107, No. 3, pp. 527-532
  4. Kang, H. S., 1997, 'Comparison of Performance of the Various Shapes of Asymmetric Fins,' KSME International Journal, Vol. 11, No. 3, pp. 311-318
  5. Kang, H. S., Yoon, S. C. and Lee, S. J., 'Performance Analysis of the Rectangular Fin,' J. KSME(B), Vol. 25, No. 1, pp. 1-8
  6. Ledezma, G., Morega, A. M. and Bejan, A., 1996, 'Optimal Spacing Between Pin Fins with Impinging Flow,' ASME J. Heat Transfer, Vol. 118, pp. 570-577
  7. 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
  8. Shah, R. K., 1971, 'Temperature Effectiveness of Multiple Sandwich Rectangular Plate-Fin Surfaces,' ASME J. Heat Transfer, Vol. 93, pp. 471-473
  9. 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
  10. 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
  11. Zubair, S. M., A1-Garni, A. Z. and Nizami, J. S., 1996, '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 https://doi.org/10.1016/0017-9310(96)00011-7