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Influence of the Geometry on the Natural Convection Heat Transfer inside a Vertical Cylinder

수직 원형관내 자연대류 열전달에서 기하구조의 영향

  • Ohk, Seung-Min (Department of Nuclear Engineering, Kyung Hee University) ;
  • Chung, Bum-Jin (Department of Nuclear Engineering, Kyung Hee University)
  • 옥승민 (경희대학교 원자력공학과) ;
  • 정범진 (경희대학교 원자력공학과)
  • Received : 2015.02.21
  • Accepted : 2015.03.17
  • Published : 2015.03.31

Abstract

Natural convection heat transfer rates in vertical pipes were measured varying the diameter, length, and roughness of vertical cylinder. To achieve high Rayleigh number with relatively small test rig, mass transfer experiments instead of heat transfer were performed based on the analogy. Prandtl number was 2,014. The length of vertical cylinder was 0.1m, 0.3m, and 0.5m, which correspond to GrL $4.2{\times}10^7$, $1.1{\times}10^9$, and $5.5{\times}10^9$. To each length of vertical cylinder, the heat transfer rates were measured varying the iameter 0.005m, 0.01m, and 0.03m. The heat transfer rate for a short length pipe(0.1m) agreed with the prediction from Le Fevre correlation developed for a vertical plate for all diameter. The heat transfer rate decreases as the diameter and the length of the pipe increases. The heat transfer rate inside of vertical cylinder is affected by roughness only for a laminar flow regime.

파이프의 길이(Length)와 직경(Diameter), 거칠기(Roughness)에 변화를 주면서 수직 원형관내 자연대류 열전달을 측정하였다. 고부력 조건에 대한 높은 Rayleigh수를 구현하기 위하여 상사성에 기초한 물질전달실험을 수행하였다. Pr수는 2,014였다. 수직 원형관의 길이(L)는 0.1m, 0.3m, 0.5m였으며 이는 Gr수 $4.2{\times}10^7$, $1.1{\times}10^9$, $5.5{\times}10^9$에 해당한다. 각 수직 원형관에 대하여 직경(D)을 0.005m, 0.01m, 0.03m로 변화시키면서 열전달을 측정하였다. 실험결과 모든 직경(D)에 대해서 높이(L) 0.1m에서의 열전달 계수는 Le Fevre의 수직평판에 대한 층류 자연대류상관식과 일치하였다. 동일한 직경(D)에 대해서 길이(L)가 감소할수록 열전달이 증가하였다. 그리고 동일한 길이(L)에 대하여 직경(D)이 증가하였을 때는 열전달이 감소하였다. 파이프 내부 표면에 거칠기를 주어 일반 수직원형관과 열전달을 비교하였을 때, 층류영역에서는 열전달의 차이가 있었으나, 천이영역에서는 열전달 차이가 없었다.

Keywords

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