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

  • 제35권1호
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  • Pages.33-42
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  • 2011
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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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높은 Pr 수의 유체를 사용한 수직 원형관 외부의 자연대류 실험

Experiments on Natural Convection on the Outer Surface of a Vertical Pipe by Using Fluids with High Pr Number

  • 투고 : 2010.05.19
  • 심사 : 2010.10.18
  • 발행 : 2011.01.01
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초록

유사성 원리를 이용하여 매우 높은 Pr 수의 유체를 사용하여 수직 원형관 외부의 자연대류 열전달 현상을 실험적으로 연구하였다. 황산-황산구리 수용액의 전기도금계를 물질전달계로 채택하였으며, 실험은 직경 0.005m~0.035m의 음극을 사용하여 Pr 수 2,094~4,173 그리고 $Ra_H$ 수 $1.4{\times}10^9{\sim}4{\times}10^{13}$에서 열전달계수를 측정하였다. 층류에서 실험한 결과는 King, Jakob와 Linke, McAdams, Bottemanne의 수직 원형관 자연대류의 열전달 상관식에 일치하였고 난류에서는 수직평판 난류 자연대류 상관식인 Fouad의 상관식과 일치하였고 Pr 수에 대한 의존성이 나타났다. 실험을 통하여 도출한 층류 상관식은 $Nu_H=0.55Ra^{0.25}_H$,�㉢�류 상관식은 $Nu_H=0.12Ra^{0.28}_HPr^{0.1}$였다. 층류와 난류사이의 천이는 $Ra_H$ 수 약 $10^{12}$에서 발생하였다.

In this study, we investigated the natural convection on the outer surface of a vertical pipe by performing mass transfer experiments using fluids with high Pr number using the concept of analogy between heat and mass transfer. A cupric acid-copper sulfate electroplating system was adopted as the mass transfer system. Tests were performed for $Ra_H$ numbers from $1.4{\times}10^9$ to $4{\times}10^{13}$, Pr numbers from 2,094 to 4,173, and diameters from 0.005 m to 0.035 m. The test results for laminar flow conditions were in good agreement with the correlations reported by King, Jakob and Linke, McAdam, and Bottemanne, and those for turbulent conditions with the correlations presented by Fouad for a vertical plate and also proved the dependence on Pr numbers. The obtained correlations were $Nu_H=0.55Ra^{0.25}_H$ for laminar and $Nu_H=0.12Ra^{0.28}_HPr^{0.1}$ for turbulent. The transition between laminar and turbulent occurs at $Ra_H$ of about $10^{12}$.

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