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

The Korean Society of Mechanical Engineers (대한기계학회)
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Effect of Aspect Ratio of Enclosure with Inner Circular Cylinder on Three-Dimensional Natural Convection

원형 실린더가 존재하는 밀폐계의 종횡비 변화가 3차원 자연대류 현상에 미치는 영향

  • Received : 2016.06.07
  • Accepted : 2016.09.18
  • Published : 2016.11.01
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Abstract

This study evaluated the effect of aspect ratio of an enclosure with a heated inner circular cylinder on three-dimensional natural convection. The immersed boundary method was used to model the inner circular cylinder based on the finite volume method. The Rayleigh number was varied between $10^5$ and $10^6$, and the Prandtl number was maintained at 0.7. The aspect ratio of the three-dimensional enclosure was changed in steps of 1 within a range of 1-4 by increasing the width of the enclosure. In this study, the flow and thermal fields in the enclosure reached the steady state, and showed a mirror-symmetric pattern with respect to the center plane (x=0). In addition, the surface-averaged Nusselt number of the inner circular cylinder increased, while the total surface-averaged Nusselt number of the enclosure walls decreased with increase in the aspect ratio of the enclosure.

본 연구는 밀폐계 내부에 고온의 원형 실린더가 존재할 때, 밀폐계의 종횡비 변화에 따른 밀폐계 내부의 3차원 자연대류 현상에 대해 수치해석을 수행하였다. 밀폐계 내부의 원형 실린더는 유한체적법(FVM)에 기초한 가상 경계법(IBM)을 사용하여 구현하였다. 본 연구에서 고려한 Rayleigh 수의 범위는 $10^5{\leq}Ra{\leq}10^6$이며, Prandtl 수는 0.7이다. 밀폐계의 폭을 변화하여 밀폐계의 종횡비를 증가시켰으며, 밀폐계의 종횡비는 $1{\leq}W/L{\leq}4$ 범위에서 1 간격으로 고려하였다. 본 연구에서 고려한 모든 Rayleigh 수와 밀폐계의 종횡비 범위에서 열유동장은 x=0 단면을 기준으로 좌우 대칭을 이루며 정상상태에 도달하였다. 또한 밀폐계의 종횡비가 증가할수록 원형 실린더의 표면 평균 Nusselt수는 증가하는 반면, 밀폐계 벽면의 표면 평균 Nusselt수는 감소하였다.

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References

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