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

The Korean Society of Mechanical Engineers (대한기계학회)
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Effect of Horizontal Pitch-to-Diameter Ratio on the Natural-Convection Heat Transfer of Two Staggered Cylinders

엇갈리게 배열된 두 개의 수평관에서 수평 피치-직경비에 따른 자연대류 열전달 영향

  • Chae, Myeong-Seon (Dept. of Energy Engineering, Institute for Nuclear Science and Engineering, Jeju Nat'l Univ.) ;
  • Heo, Jeong-Hwan (Dept. of Energy Engineering, Institute for Nuclear Science and Engineering, Jeju Nat'l Univ.) ;
  • Chung, Bum-Jin (Dept. of Energy Engineering, Institute for Nuclear Science and Engineering, Jeju Nat'l Univ.)
  • 채명선 (제주대학교 에너지공학과) ;
  • 허정환 (제주대학교 에너지공학과) ;
  • 정범진 (제주대학교 에너지공학과)
  • Received : 2011.08.11
  • Accepted : 2012.02.03
  • Published : 2012.03.01
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Abstract

This study measured the natural-convection heat transfer of two vertically staggered cylinders with varying vertical pitch-to-diameter ($P_v$/D) and horizontal pitch-to-diameter ($P_h$/D) ratios. The measured heat-transfer rates for the lower cylinder agreed well with the existing heat-transfer correlations for a single cylinder. At the smallest $P_v$/D, the rising plume from the lower cylinder provides the upper cylinder with a preheated flow, and the heat-transfer rates of the upper cylinder decrease, but increase very sensitively with $P_h$/D. However, at the largest $P_v$/D, the velocity effect dominates, and the heat-transfer rates of the upper cylinder are larger than that of a single cylinder, and decrease less sensitively with $P_h$/D. Even if $P_h$/D is increased, the heat-transfer rate of the upper cylinder is higher than that of the lower cylinder because of the chimney and side flow effects. This work expanded the flow ranges to turbulent flows. The cupric acid-copper sulfate ($H_2SO_4-CuSO_4$) electroplating system was adopted for the measurements of the mass-transfer rates instead of the heat-transfer experiments based on the analogy concept. The measurements were made by varying $P_v$/D (1.02-5) and $P_h$/D (0-2) in both laminar and turbulent flows. The Rayleigh number ranged from $1.5{\times}10^8$ to $2.5{\times}10^{10}$, and the Prandtl number was 2,014.

엇갈리게 배열된 두 개의 수평관의 수직 이격거리($P_v$/D)와 수평 이격거리($P_h$/D)를 변화시키며 자연대류 열전달을 실험적으로 측정하였다. 열/물질전달의 상사성을 이용하여 물질전달 실험을 수행하였고 난류영역까지 확장하였다. Pr 수 2,014, RaD 수 $1.5{\times}10^8\sim2.5{\times}10^{10}$, $P_v$/D는 1.02~5, $P_h$/D는 0~2 범위에서 수행하였다. 하단 수평관의 물질전달은 단일 수평관 상관식의 예측치와 일치하였다. 상단 수평관의 물질전달은 $P_v$/D가 작을 때, 하단 수평관에서 상승하는 플룸의 예열영향(Preheating effect)으로 인해 감소하였고, $P_h$/D가 증가하면 급격히 상승하였다. 그러나 $P_v$/D가 클 때, 상단 수평관의 물질전달은 하단 수평관의 플룸 속도영향으로 인하여 단일 수평관보다 컸고, $P_h$/D가 증가함에 따라 완만하게 감소하였다. $P_h$/D가 매우 증가하여도 굴뚝효과(Chimney effect)와 측면유동효과(Side flow effect) 인하여 상단 수평관의 열전달이 하단 수평관의 열전달보다 크게 나타났다.

Keywords

References

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