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Analysis of Laminar Flows around Submerged Spheres

물 밑에 잠긴 구 주위의 층류 유동장 해석

  • 곽승현 (한라대학교 컴퓨터응용설계학과)
  • Received : 2010.08.17
  • Accepted : 2010.10.14
  • Published : 2010.11.30

Abstract

Three dimensional laminar flows are numerically simulated around the submerged spheres. The finite volume based Navier-Stokes equations with unstructured grids are solved to make clear the hydrodynamic phenomena near and far away from the body. Reviews are made on with the vorticity, velocity, dynamic pressure, residuals, drags, etc. The Reynolds numbers under consideration are 425, 300, 250 and 100. In case of small spacing between spheres, the flow is more stable than that past a single sphere. According to the analysis, the flow past two spheres is found to be unstable as the spacing becomes larger. The rear sphere shows the deduction of stagnation pressure, which results in the decrease of the resistance. The predicted drag coefficients verify that the present numerical calculation is reasonable.

수중에 있는 구 주위의 3차원 층류유동을 수치 해석하였다. 유한체적법을 기반으로 나비에 스톡스 방정식을 비구조격자로 풀어 물체주위의 동역학 현상을 규명하였다. 보티시티, 속도, 동압, 레지듀얼, 항력계수 등의 데이터를 가지고 분석하였다. 레이놀드 수는 425, 300, 250, 100 이다. 구 사이의 거리가 작은 경우가 구 한 개의 후류 유동보다 안정됨을 보였고 구 사이의 간격이 커짐에 따라 유동현상은 불안정하게 나타났다. 후방의 구는 정체압력의 감소를 보였고 이로 인해 저항이 줄어들게 됨을 알 수 있었다. 항력계수의 비교는 본 수치계산이 타당함을 입증하였다.

Keywords

References

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