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

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Study of Laminar Flow and Heat Transfer in Curved Pipe Flow

곡관에서의 층류 유동 및 열전달에 관한 수치해석 연구

  • Received : 2013.06.17
  • Accepted : 2013.08.01
  • Published : 2013.10.01
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Abstract

A three dimensional numerical simulation of laminar flow and heat transfer in fully developed curved pipe flow has been performed to study the effects of Dean number and pipe curvature on the flow and temperature fields under the thermal boundary condition of axially uniform wall heat flux. The Reynolds number under consideration ranges from 100 to 4000, and the Prandtl number is 0.71. The curvature ratios are 0.01, 0.025, 0.05 and 0.1. The axial velocity and temperature profiles and the local Nusselt number obtained from the present study are in good agreement with the previous numerical and experimental results currently available. To show the effects of pipe curvature on the flow and heat transfer, the resistance coefficients and heat transfer coefficients are computed and compared with the results of the previous theoretical and experimental studies. The averaged Nusselt number is correlated with Dean and Prandtl numbers. Furthermore, the critical Reynolds number for transition to turbulent flow is observed to depend upon the curvature ratio.

축방향으로 벽면에서 일정한 열 유속의 경계조건을 갖는 곡관 유동에서 유동장 및 온도장에서의 Dean 수와 곡률의 영향을 알아보기 위한 층류 유동 및 열전달에 관한 3차원 수치모사를 수행하였다. 연구에서 수행된 레이놀즈 수의 범위는 100~4000이며 Prandtl 수는 0.71이다. 곡률 비는 0.01, 0.025, 0.05 그리고 0.1이다. 본 연구에서 계산된 축방향 속도 및 온도 분포, 국소 Nusselt 수는 기존의 수치 및 실험 결과들과 잘 일치하였다. 유동 및 열전달에 대한 곡률의 영향을 알아보기 위하여 저항계수 및 열전달 계수가 계산되었고 기존의 이론 및 실험 연구의 결과들과 비교하였다. Dean 수와 Prandtl 수에 의한 평균 Nusselt 수의 관계식을 유도하였다. 또한 곡률의 변화에 따른 난류 유동으로 천이하는 임계 레이놀즈 수의 변화를 알아보았다.

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References

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