Journal of Energy Engineering (에너지공학)

The Korean Society for Energy (한국에너지학회)
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Influence of the Entrance and Exit Lengths on the Natural Convection Heat Transfer of a Cylinder in a Duct

도관내 원형관의 자연대류 열전달에서 입구 및 출구 길이 효과

  • Lim, Chul-Kyu (Department of Nuclear and Energy Engineering, Institute for Nuclear Science and Technology, Jeju National University) ;
  • Chung, Bum-Jin (Department of Nuclear and Energy Engineering, Institute for Nuclear Science and Technology, Jeju National University)
  • 임철규 (제주대학교 에너지공학과) ;
  • 정범진 (제주대학교 에너지공학과)
  • Received : 2012.02.13
  • Accepted : 2012.03.12
  • Published : 2012.03.31
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Abstract

This work investigated the influence of the chimney dimensions(exit and entrance length, and diameter) on the heat transfer of a vertical cylinder in a duct. The measured mass transfer rates for the natural convection of vertical cylinder in a duct were presented for Prandlt number 2,094, Rayleigh number in the range of $4.55{\times}10^9$, $5.79{\times}10^{10}$, and $1.69{\times}10^{11}$. Experiments were performed using a copper sulfate electroplating system to simulate heat transfer based upon the analogy concept. The diameter of the duct was varied from 0.06 m to 0.14 m, and the heights from 0.30 m to 1.10 m. Nusselt numbers measured at open channel condition agreed well with the existing laminar heat transfer correlations for vertical plate developed by Le Fevre. The increase of the exit length enhanced the heat transfer up to a certain duct height but further increase does not affects the heat transfer. The heat transfer decreased with increasing the entrance length up to a certain duct height and was constant at further increase. The Nusselt number decreased with increasing the diameter of duct, until Nusselt number becomes similar to that at open channel beyond a certain diameter.

굴뚝내 수직 원형관의 자연대류에서 굴뚝의 입구길이, 출구길이, 그리고 굴뚝의 직경에 따른 열전달 변화를 실험적으로 연구하였다. 상사성을 이용하여 열전달 실험 대신 물질전달 실험을 수행하였다. 직경 0.054 m, 높이 0.03, 0.07, 0.10 m의 원형관에 대하여 굴뚝의 직경을 0.06 m에서 0.14 m까지, 높이를 0.30 m에서 1.10 m까지 변화시켰다. 이는 Pr 수 2,094, $Ra_L$ 수 $4.55{\times}10^9$, $5.79{\times}10^{10}$, 그리고 $1.69{\times}10^{11}$에 해당한다. 굴뚝이 없을 때, 수직 원형관의 열전달은 Le Ferve의 수직평판에 대한 층류 자연대류 상관식과 일치하였다. 출구길이를 증가시키며 실험한 결과, 열전달은 증가하다가 특정 출구길이 이상에서는 일정해 졌다. 반면, 입구길이를 증가시킬 때는 열전달은 감소하다가 특정 입구길이 이상에서는 일정해졌다. 굴뚝효과로 증가된 열전달은 굴뚝의 직경을 증가시킬수록 감소하다가 굴뚝이 없을 때와 같아졌다.

Keywords

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