역 사다리꼴 핀의 최적화에 미치는 내 외 유체의 영향

The Effect of Inside and Outside Fluids on the Optimization of a Reversed Trapezoidal Fin

  • 강형석 (강원대학교 기계.메카트로닉스공학부)
  • 발행 : 2007.10.30

초록

측면 표면 기울기가 변화하는 역 사다리꼴 핀이 2차원 해석적 방법을 사용하여 최적화된다. 핀 바닥 경계조건을 위해서, 내부유체로부터 내벽까지의 대류와 내벽부터 핀 바닥까지의 전도가 고려된다. 핀 끝 면으로부터의 열손실은 무시되지 않는다. 실제적인 핀 길이에서의 최대 열손실, 그 최대 열손실이 발생할 때의 최적의 효율, 핀 길이 그리고 핀 바닥 높이가 핀 내 외부의 대류특성계수의 함수로 나타내어진다. 결과 중 하나는 핀 바닥 높이에 대한 핀 끝 높이의 비가 커질수록 최적의 핀 형상은 두껍고 짧아지는 형상이 됨을 보여준다.

A reversed trapezoidal fin with variable lateral surface slope is optimized using a two-dimensional analytic method. For a fin base boundary condition, convection from the inside fluid to the inside wall and conduction from the inside wall to the fin base are considered. Heat loss from the fin tip surface is not ignored. The maximum heat loss at the practical fin length, the corresponding optimum fin efficiency, fin length and fin base height are presented as a function of the fin inside and outside convection characteristic numbers. One of the results shows that the optimum fin shape becomes 'fatter and shorter' as the ratio of fin tip height to base height increases.

키워드

참고문헌

  1. Mikhail, A. G., "Fin Gaps and Body Slots: Effects and Modeling for Projectiles and Missiles," J. Spacecraft, Vol. 25, No. 5, 1988, pp.345-353 https://doi.org/10.2514/3.26011
  2. Karan, R. D. and Eby, R, J., "Linearized Solution of Conducting-Radiating Fins," AIAA J., Vol. 16, No. 5, 1978, pp.536-538 https://doi.org/10.2514/3.7543
  3. Chung, B. T. F., Abdalla, M. H. and Liu, F., "Optimization of Convective Longitudinal Fin of Trapezoidal Profile," Chem. Eng. Comm., Vol. 80, 1989, pp. 211-223 https://doi.org/10.1080/00986448908940525
  4. Laror, K. and Kalman, H., "The Effect of Tip Convection on the Performance and Optimum Dimensions of Cooling Fins," Int. Commun. Heat Mass Transfer, Vol. 19, 1992, pp.359-362 https://doi.org/10.1016/0735-1933(92)90082-S
  5. Razelos, P. and Satyaprakash, B. P., "Analysis and Optimization of Convective Trapezoidal Profile Longitudinal Fin," ASME Journal of Heat Transfer, Vol. 115, 1993, pp.461-463 https://doi.org/10.1115/1.2910699
  6. Yeh, R. H., "An Analytical Study of the Optimum Dimensions of Rectangular Fins and Cylindrical Pin Fins," Int. J. Heat Mass Transfer, Vol. 40, No. 15, 1997, pp. 3607-3615 https://doi.org/10.1016/S0017-9310(97)00010-0
  7. Casarosa, C. and Franco, A., "On the Optimum Thermal Design of Individual Longitudinal Fins with Rectangular Profile," Heat Transfer Engineering, Vol. 22, No. 1, 2001, pp.51-71 https://doi.org/10.1080/01457630117894
  8. 강형석, 조철현, "대류 직각 형상 환형 휜의 최적화," 한국추진공학회지, 제7권, 제1호, 2003, pp.1-9
  9. Chung, B. T. F. and Iyer, J. R., "Optimum Design of Longitudinal Rectangular Fins and Cylindrical Spines with Variable Heat Transfer Coefficient," Heat Transfer Engineering, Vol. 14, 1993, pp.31-42 https://doi.org/10.1080/01457639308939792
  10. Kang, H. S. and Look, D. C. Jr., "Optimization of Thermally and Geometrically Asymmetric Trapezoidal Fins", AIAA J. of Thermophysics and Heat Transfer, Vol. 18, No. 1, 2004, pp. 52-57 https://doi.org/10.2514/1.9121
  11. Bejan, A. and Almogbel, M., "Constructal T-shaped Fins," Int. J. Heat Mass Transfer, Vol. 43, 2000, pp.2101-2115 https://doi.org/10.1016/S0017-9310(99)00283-5
  12. Kundu, B. and Das, P. K., "Performance Analysis and Optimization of Elliptical Fins Circumscribing a Circular Tube," Int. J. Heat Mass Transfer, Vol. 50, 2007, pp. 173-180 https://doi.org/10.1016/j.ijheatmasstransfer.2006.06.043
  13. 강형석, "역 사다리꼴 핀의 최적화," 대한기계학회논문집 (B), 제30권, 제10호, 2006, pp.987-995 https://doi.org/10.3795/KSME-B.2006.30.10.987
  14. Kang, H. S. and Look, D. C. Jr., "Optimization of a Thermally Asymmetric Convective and Radiating Annular Fin," Heat Transfer Engineering, Vol. 28, No. 4, 2007, pp.310-320 https://doi.org/10.1080/01457630601122609