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Analysis of Temperature Distribution and Heat Loss for an Asymmetric Trapezoidal Fin

비대칭 사다리꼴 핀의 온도분포와 열손실 해석

  • Kang, Hyung-Suk (Dept. of Mechanical & Biomedical Engineering, Gangwon Nat'l Univ.) ;
  • Song, Nyeon-Joo (Dept. of Mechanical & Mechatronics Engineering, Gangwon Nat'l Univ.)
  • Received : 2011.06.21
  • Accepted : 2012.01.17
  • Published : 2012.04.01

Abstract

The temperature distribution of an asymmetric trapezoidal fin with various upper lateral surface slopes is investigated by using the two-dimensional analytic method. For this asymmetric fin, convection from the inner fluid to the inner wall, conduction from the inner wall to the fin base and conduction through the fin base are considered simultaneously. The temperature profile with the variation of dimensionless fin length and height coordinates is shown. Also, the temperature variation at the bottom tip of the fin is presented as a function of the fin shape factor. Heat losses through the fin base and from each side are compared for variations in fin length. One of the results shows that temperature at the fin bottom tip decreases linearly as the fin shape factor increases.

변화되는 위 측면 기울기를 가진 비대칭 사다리꼴 핀의 온도분포가 2차원 해석적 방법을 사용하여 조사되어 진다. 이 비대칭 핀을 위해, 내부유체로부터 내벽까지의 대류, 내벽으로부터 핀 바닥까지의 전도, 그리고 핀 바닥을 통한 전도가 동시에 고려된다. 무차원 핀 길이와 높이좌표 변화에 따른 온도 형상이 보여진다. 또한 핀 아래 끝에서 온도 변화가 핀 형상계수의 함수로 나타내어진다. 핀 길이의 변화에 따라 핀 바닥을 통한 열손실과 각 면으로부터의 열손실들이 비교된다. 결과들 중 하나는 핀형상계수가 증가함에 따라 핀 아래 끝에서 온도는 선형적으로 감소함을 보여준다.

Keywords

References

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