Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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A Numerical Analysis of Sediment-laden Flow in Open Channel with Bed-load Effect

개수로에서 소유사의 영향을 고려한 부유입자 유동에 관한 수치적 연구

  • 윤준용 (한양대학교 공학대학 기계산업공학부) ;
  • 강승규 (한양대학교 대학원 기계공학과) ;
  • 강시환 (한국해양연구소 연안·항만공학연구센터)
  • Published : 2000.08.01
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Abstract

An numerical analysis of sediment-laden flow is carried out, and results are compared with the experiments of Coleman(1981, 1986) that included the several cases varying sediment size and quantity in open channel flow. K-$\omega$ turbulence model is selected for the fully turbulent flow field, and the concentration equation considering the fall velocity is adopted for the concentration field. The model of Einstein and Chien(1955) is applied to couple the velocity field and the concentration field. Most of researches have been carried out without considering the bed-load thickness, but it is found that the bed-load thickness cannot be ignored in case of a large amount of sediment or a large size of it. The bed-load thickness and surface roughness are considered in this study. Here, $\beta$ value, which is defined by the reciprocal of turbulent Schmidt number and is related with the concentration profile, is found to be varied according to the sediment size and quantity. Even though most of researchers have insisted that $\beta$ had always larger than 1.0, it may be concluded that $\beta$ can have smaller value than 1.0, that is coincident with the report of recent research.

본 연구에서는 부유입자를 포함하는 유동을 입자크기와 입자량을 달리한 몇 가지 경우에 대하여 수치적으로 해석하고 Coleman(1981, 1986)의 실험결과와 비교하였다. 완전 난류 유동장을 해석하기 위하여 k-$\omega$난류모형을 사용하였으며, 농도장 해석을 위해서는 침강속도를 고려한 일반화된 농도방정식을 적용하였다. 유동과 입자의 상호작용은 Einstein과 Chien(1955)의 모형을 도입하여 수치계산하였다. 기존의 대부분 연구에서는 소유사의 두께를 고려하지 않은 연구를 수행하였으나, 입자량이 많아지거나 입자크기가 클 경우 이를 무시할 수 없는 것으로 밝혀졌다. 소유사의 두께와 하상에 의한 표면 거칠기 효과를 고려하여 본 연구를 수행하였는데, 여기서 농도분포를 결정짓게 되는 $\beta$값이 입자의 크기와 입자량에 관련되어 있다는 사실을 확인할 수 있었다. 기존 연구결과는 $\beta$가 1.0보다 큰 값을 가진다고 보고되었으나, 본 연구를 통해 1.0보다 작아질수 있음이 확인되었고, 이는 최근에 보고된 연구 결과와 일치되는 결과이다.

Keywords

References

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