Optimum Design of a Reversed Trapezoidal Fin with Variable Fin Base Thickness

핀 바닥 두께가 변화하는 역 사다리꼴 핀의 최적 설계

  • Kang, Hyung-Suk (Division of Mechanical and Mechatronics Engineering, Kangwon University)
  • 강형석 (강원대학교 기계메카트로닉스 공학부)
  • Published : 2008.07.10

Abstract

A reversed trapezoidal fin with variable fin base thickness is optimized using a two-dimensional analytical method. For the fin base boundary condition, instead of a constant temperature, heat transfer from the inside fluid to the fin base is considered. Heat loss from the fin tip is not ignored. The maximum heat loss, corresponding optimum fin effectiveness, fin length and base height are presented as a function of the fin base thickness, shape factor and volume.

Keywords

References

  1. Chung, B. T. F., Abdalla, M. H. and Liu, F., 1989, Optimization of Convective Longitudinal Fin of Trapezoidal Profile, Chem. Eng. Comm., Vol. 80, pp. 211-223 https://doi.org/10.1080/00986448908940525
  2. Laror, K. and Kalman, H., 1992, The Effect of Tip Convection on the Performance and Optimum Dimensions of Cooling Fins, Int. Commun. Heat Mass Transfer, Vol. 19, pp. 359-362 https://doi.org/10.1016/0735-1933(92)90082-S
  3. Razelos, P. and Satyaprakash, B. P., 1993, Analysis and Optimization of Convective Trapezoidal Profile Longitudinal Fin, ASME Journal of Heat Transfer, Vol. 115, pp. 461-463 https://doi.org/10.1115/1.2910699
  4. Yeh, R. H., 1997, An Analytical Study of the Optimum Dimensions of Rectangular Fins and Cylindrical Pin Fins, Int. J. Heat Mass Transfer, Vol. 40, No. 15, pp. 3607-3615 https://doi.org/10.1016/S0017-9310(97)00010-0
  5. 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/10.1080/01457630117894
  6. Jeong, B. C., Lee, S. J., Yoon, S. C. and Kang, H. S., 2006, Optimization of Convective Trapezoidal Profile Fin having Fluid inside the Wall, Korean J. of Air-Conditioning and Refrigeration Engineering, Vol. 18, No. 2, pp. 95- 102
  7. Chung, B. T. F. and Iyer, J. R., 1993, Optimum Design of Longitudinal Rectangular Fins and Cylindrical Spines with Variable Heat Transfer Coefficient, Heat Transfer Engineering, Vol. 14, pp. 31-42 https://doi.org/10.1080/01457639308939792
  8. Kang, H. S. and Look, D. C. Jr., 2007, Optimization of a Thermally Asymmetric Convective and Radiating Annular Fin, Heat Transfer Engineering, Vol. 28, No. 4, pp. 310-320 https://doi.org/10.1080/01457630601122609
  9. Bejan, A. and Almogbel, M., 2000, Constructal T-shaped Fins, Int. J. Heat Mass Transfer, Vol. 43, pp. 2101-2115 https://doi.org/10.1016/S0017-9310(99)00283-5
  10. Kundu, B. and Das, P. K., 2007, Performance Analysis and Optimization of Elliptical Fins Circumscribing a Circular Tube, Int. J. Heat Mass Transfer, Vol. 50, pp. 173-180 https://doi.org/10.1016/j.ijheatmasstransfer.2006.06.043