대한기계학회논문집B (Transactions of the Korean Society of Mechanical Engineers B)

  • 제34권3호
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  • Pages.229-235
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  • 2010
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  • 1226-4881(pISSN)
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  • 2288-5324(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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고정된 휜 체적에 기준한 원관 내부반경이 변하는 환형 휜의 최적화

Optimization of an Annular Fin with a Pipe of Variable Inner Radius for Fixed Fin Volume

  • 강형석 (강원대학교 기계의용공학부)
  • Kang, Hyung-Suk (Dept. of Mechanical and Biomedical Engineering, Kangwon Nat'l Univ.)
  • 발행 : 2010.03.01
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초록

원관 내부반경이 변하는 사각형상 환형 훤의 최적 값들이 변수 분리법에 의하여 제시된다. 최적의 열손실이 존재할 수 있는 주위 대류특성계수의 범위가 나열된다. 최적 열손실, 그와 관련된 최적의 훤 유용성, 훤 길이 그리고 훤 높이가 원관 내부반경, 내부유체 대류특성계수, 훤 체적, 그리고 주위 대류특성계수의 함수로 표현된다. 결과 중 하나는 훤 체적과 훤 바닥반경이 고정되었을 때 최적 열손실, 유용성 그리고 훤 길이는 원관 내부반경의 증가에 따라 선형적으로 증가함을 보여준다.

Optimum values of fin performance and dimensions for an annular fin with a rectangular profile and a pipe with variable inner radius are determined by using a variable separation method. The range of ambient convection characteristic number that results in optimum heat loss is listed. The optimum heat loss, corresponding optimum fin effectiveness, fin length, and fin height are presented as a function of the inner radius of the pipe, inner fluid convection characteristic number, fin volume, and ambient convection characteristic number. One of the results shows that the optimum heat loss, fin effectiveness and fin length increase linearly with the inner radius of the pipe when both the fin volume and fin-base radius are fixed.

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참고문헌

  1. Aziz, A. and Nguyen, H., 1992, "Twodimensional Effects in a Triangular Convecting Fin," J. Thermophysics, Vol. 6, No. 1, pp. 165-167.
  2. Kang, H. S., 2008, "Optimization of a reversed trapezoidal fin using 2-D analytic method," Journal of Mechanical Science and Technology, Vol. 22, No. 3, pp. 556-564. https://doi.org/10.1007/s12206-007-1038-1
  3. 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
  4. Ullmann, A. and Kalman, H., 1989, "Efficiency and Optimized Dimensions of Annular Fin of Different Cross-Section Shapes," Int. J. Heat Mass Transfer, Vol. 32, No. 6, pp. 1105-1110. https://doi.org/10.1016/0017-9310(89)90010-0
  5. Razelos, P. and Imre, K., 1980, "The Optimum dimensions of Circular Fin with Variable Thermal Parameters," ASME J. Heat Transfer, Vol. 102, No. 3, pp. 420-425 https://doi.org/10.1115/1.3244316
  6. Yu, L. T. and Chen, C. K., 1999, "Optimization of Circular Fins with Variable Thermal Parameters," Journal of The Franklin Institute, Vol. 336(B), pp. 77-95. https://doi.org/10.1016/S0016-0032(97)00021-5
  7. 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
  8. Sikka, S. and Iqbal, M., 1970, "Temperature Distribution and Effectiveness of a Two-Dimensional Radiating and Convective Circular Fin," AIAA Journal, Vol. 8, No. 1, pp. 101-106. https://doi.org/10.2514/3.5612
  9. Kundu, B. and Das, P. K., 2007, "Performance Analysis and Optimization of Elliptical Fins Circumscribing a Circular Tube," Int. J. of Heat and Mass Transfer, Vol. 50, pp. 173-180. https://doi.org/10.1016/j.ijheatmasstransfer.2006.06.043
  10. Kang, H. S. and Look, D. C. Jr., 2009, "Optimization of a Trapezoidal Profile Annular Fin," Heat Transfer Engineering, Vol. 30, No. 5, pp. 359-367. https://doi.org/10.1080/01457630802414599