• Title/Summary/Keyword: 레이놀즈응력의 비등방성

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Anisotropy of Turbulence in Vegetated Open-Channel Flows (식생된 개수로 흐름에서의 난류의 비등방성)

  • Kang, Hyeong-Sik;Choi, Sung-Uk
    • Journal of Korea Water Resources Association
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    • v.38 no.10 s.159
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    • pp.871-883
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    • 2005
  • This paper investigates the impacts of turbulent anisotropy on the mean flow and turbulence structures in vegetated open-channel flows. The Reynolds stress model, which is an anisotropic turbulence model, is used for the turbulence closure. Plain open-channel flows and vegetated flows with emergent and submerged plants are simulated. Computed profiles of the mean velocity and turbulence structures are compared with measured data available in the literature. Comparisons are also made with the predictions by the k-$\epsilon$ model and by the algebraic stress model. For plain open-channel flows and open-channel flows with emergent vegetation, the mean velocity and Reynolds stress profiles by isotropic and anisotropic turbulence models were hardly distinguished and they agreed well with measured data. This means that the mean flow and Reynolds stress is hardly affected by anisotropy of turbulence. However, anisotropy of turbulence due to the damping effect near the bottom and free surface is successfully simulated only by the Reynolds stress model. In open-channel flows with submerged vegetation, anisotropy of turbulence is strengthenednear the vegetation height. The Reynolds stress model predicts the mean velocity and turbulence intensity better than the algebraic stress model or the k-$\epsilon$ model. However, above the vegetation height, the k-$\epsilon$ model overestimates the mean velocity and underestimates turbulence intensity Sediment transport capacity of vegetated open-channel flows is also investigated by using the computed profiles. It is shown that the isotropic turbulence model underestimates seriously suspended load.

Analysis of Generating Mechanism of Secondary Currents in Open-Channel Flows by Reynolds Stress Model (레이놀즈응력모형을 이용한 개수로 흐름에서의 이차흐름 생성 메커니즘 분석)

  • Choi, Sung-Uk;Kang, Hyeongsik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.381-385
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    • 2004
  • 본 인구에서는 레이놀즈응력모형을 이용하여 직사각형 개수로 흐름을 수치모의 하고 이차흐름의 생성 메커니즘을 제시하였다. 수치모의 결과 자유수면과 측벽의 접합부 근처에서 inner secondary flow가 발생하였다. 이는 최근 Grega 등(1995)과 Hsu 등(2000)에 의해 밝혀진 새로운 이차흐름이다. 또한 측벽에서의 전단력 분포를 계산한 결과 inner secondary flow에 의하여 수면 근처에서의 전단력 값이 증가하는 것으로 나타났다. 계산된 결과를 이용하여 와도 방정식에서 각 항의 크기를 비교하여 이차 흐름의 생성 메커니즘을 살펴보았다. 그 결과 벽 및 측벽 경계 부근에서는 난류의 비등방성에 의한 와도 생성항에 의해 이차 흐름이 생성되고, 경계와 멀리 떨어진 영역에서는 레이놀즈응력에 의한 와도 생성항이 이차흐름을 생성시키는데 중요한 역할을 하는 것으로 나타났다.

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Numerical Investigations of Vorticity Generation in Fully Vegetated Open-Channel Flows (수치모의를 이용한 전단면 식생 수로에서의 와도 생성 분석)

  • Kang, Hyeongsik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2B
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    • pp.179-189
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    • 2010
  • This paper presents a numerical investigation of vorticity generation in fully vegetated open-channel flows. The Reynolds stress model is used for the turbulence closure. Open-channel flows with rough bed-smooth sidewalls and smooth bed-rough sidewalls are simulated. The computed vectors show that in channel flows with rough bed and rough sidewalls, the free-surface secondary currents become relatively smaller and larger, respectively, compared with that of plain channel flows. Also, open-channel flows over vegetation are simulated. The computed bottom vortex occupies the entire water depth, while the free-surface vortex is reduced. The contours of turbulent anisotropy and Reynolds stress are presented with different density of vegetation. The budget analysis of vorticity equation is carried out to investigate the generation mechanism of secondary currents. The results of the budget analysis show that in plain open-channel flow, the production by anisotropy is important in the vicinity of the wall and free-surface boundaries, and the production by Reynolds stress is important in the region away from the boundaries. However, this rule is not effective in vegetated channel flows. Also, in plain channel flows, the vorticity is generated mainly in the vicinity of the free-surface and the bottom, while in vegetated channel flows, the regions of the bottom and vegetation height are important to generate the vorticity.

Turbulent Flow through a Square Straight and Curved Duct with Reynolds Stress Models (정사각 직관과 $180^{\circ}$ 곡관내 난류유동의 레이놀즈응력모형 적용)

  • Chun, Kun-Ho;Choi, Young-Don
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.771-776
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    • 2000
  • Fine grid calculations are reported for the developing turbulent flow in a straight duct and a curved duct of square cross-section with a radius of curvature to hydraulic diameter ratio ${\delta}=R_c/H_H=3.357$ and a bend angle of 180 deg. A sequence of modeling refinements is introduced; the replacement of wall function by a fine mesh across the sublayer and a low Reynolds number second moment closure up to the near wall sublayer in which the non-linear return to isotropy model and the cubic-quasi-isotropy model for the pressure strain are adopted; and the introduction of a multiple source model for the exact dissipation rate equation. Each refinement is shown to lead to an appreciable improvement in the agreement between measurement and computation.

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Simulation of Partly-Vegetated Channel using Reynolds Stress Model (레이놀즈응력모형을 이용한 부분식생 흐름 특성 분석)

  • Lee, Seonmin;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.93-93
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    • 2019
  • 식생이 있는 개수로 흐름의 분석이 중요한 이유는 식생이 흐름 특성과 유사이송 및 하상변동에 영향을 주어 복잡한 흐름 현상을 만들어 내기 때문이다. 식생 밀도, 식생 길이, 식생이 식재된 형태에 따라 흐름의 현상이 달라지며, 흐름 특성의 변화로 인해 하상 및 주변 하천구조물에 영향을 줄 수 있다. 하천의 식생은 대부분 폭과 길이가 제한된 모습으로 존재하는 경우가 많으며, 식생이 존재하는 영역에서는 식생항력에 의해 유속이 감소하고 식생이 없는 영역에서 유속이 증가한다. 식생항력에 의해 변화된 흐름 특성은 일정 거리를 지나면 평형상태에 도달하게 되며, 식생의 경계면에서는 전단층이 발달하여 모멘텀의 교환이 활발하게 발생하는 현상을 보인다. 식생 흐름의 특성을 분석하기 위해 수치모형으로는 식생 흐름의 강한 비등방성을 모의할 수 있는 비등방성 수치모형이 적합하다. 본 연구에서는 부분 식생이 식재된 개수로에서 RSM (Reynolds stress model)을 이용하여 식생과 식생 주변의 흐름 특성 및 난류량을 분석하였다. 흐름의 변화에 따라 크게 3 구간으로 나누어 흐름 특성을 파악할 수 있으며, 식생의 밀도와 식생 영역의 폭의 길이에 따라 각 구간의 길이가 달라지는 것을 확인하였다.

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Distribution of the Reynolds Stress Tensor inside Tip Leakage Vortex (익단 누설 와류내의 레이놀즈 응력 분포)

  • Lee, Gong-Hee;Park, Jong-Il;Baek, Je-Hyun
    • 유체기계공업학회:학술대회논문집
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    • 2003.12a
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    • pp.496-501
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    • 2003
  • Reynolds averaged Wavier-Stokes simulations based on the Reynolds stress model was performed to investigated the effect of inlet flow angle on the distributions of the Reynolds stress tensor inside tip leakage vortex of a linear compressor cascade. Two different inlet flow angles ${\beta}=29.3^{\circ}$(design condition) and $36.5^{\circ}$(off-design condition) were considered. Stress tensor analysis, which transforms the Reynolds stress into the principal direction, was applied to show an anisotropy of the normal stresses. Whereas the anisotropy was highest in the region where the tip leakage vortex collides the suction side of the blade and tip leakage flow enters between blade tip of the pressure side and the endwall, it had the lowest value at the center of tip leakage vortex. It was also found that the magnitude of maximum shear stress at design condition was greater than that of off-design condition.

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A Study on the Development of Low Reynolds Number Second Moment Turbulence Model (저레이놀즈수 2차 모멘트 난류모형 개발에 관한 연구)

  • 김명호;최영돈;신종근
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1596-1608
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    • 1993
  • Low Reynolds number second moment turbulence model which be applicable to the fine gird near the wall region was developed. In this model, turbulence model coefficients in the pressure strain model of the Reynolds stress equation was expressed as functions of turbulence Reynolds number $R_{t}\equivk^{2}/(\nu\varepsilon)).$ In the derivation procedure of the present low Reynolds number algebraic stress model, Laufer's near wall experimental data on Reynolds stresses were curve fitted as functions of R$_{t}$ and the resulting simultaneous equations of the model coefficients were solved by using the boundary conditions at wall and high Reynolds number limiting conditions. Predicted Reynolds stresses and dissipation rate of turbulent kinetic energy etc. in the 2 dimensional parallel, plane channel flow and pipe flow were compared with the preditions obtained by employing the Launder-Shima model, standard algebraic stress model and several experimental data. Results show that all the Reynolds stresses and dissipation rate of turbulent kinetic energy predicted by the present low Reynolds number algebraic stress model agree better with the experimental data than those predicted by other algebraic stress models.

Numerical Investigations of Open-Channel Flows with Alternate Vegetation using $k-{\varepsilon}$ model ($k-{\varepsilon}$ 난류모형을 이용한 대응 식생수로 흐름 수치모의)

  • Kang, Hyeong-Sik;Kim, Kyu-Ho
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.545-549
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    • 2009
  • 본 연구에서는 주흐름방향으로 식생 영역이 교차적으로 존재하는 개수로 흐름에 대한 3차원 수치 모의를 수행하였다. 지배방정식의 난류 폐합을 위해 $k-{\varepsilon}$ 난류모형을 이용하였다. 먼저, 하상의 일부만 식재된 부분 식생 수로를 수치모의 하고 기존의 실험 결과와 비교하였다. 그 결과 본 모형이 평균유속 분포를 매우 잘 예측하는 것으로 나타났으나, 레이놀즈응력 분포는 실험 결과에 비해 비식생영역에서는 다소 과소 산정하고 식생영역에서는 과대 산정하는 것으로 나타났다. 이는 본 모형이 등방성 모형이기 때문에 식생 경계부에서 발생되는 난류의 비등방성 효과를 정확히 예측 할 수 없기 때문인 것으로 판단된다. 또한 주흐름방향으로 식생 영역이 교차적으로 존재하는 대응 식생 수로를 수치모의하고, 계산 결과를 기존의 실험 결과와 비교하였다. 그 결과 본 모형이 대응 식생 수로에서의 유속 분포를 매우 잘 예측하는 것으로 나타났다. 또한 식생 밀도가 증가함에 따라 식생이 흐름 방향을 변화시켜 점차 만곡수로와 유사한 형태의 흐름이 형성되는 것으로 나타났다.

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Numerical Investigations of Initiation mechanism of Longitudinal Bedforms in Open-Channel Flows (직사각형 개수로 흐름에서 횡방향 하상형상의 생성 메커니즘 분석)

  • Kang, Hyeong-Sik;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.655-659
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    • 2008
  • 본 연구에서는 3차원 수치모의를 통하여 횡방향 하상형상 및 격자형 이차흐름 구조의 생성 메커니즘을 분석하였다. 이를 위해 곡선좌표계에서의 지배방정식을 구성하고, 난류 폐합을 위해 Speziale(1987)가 제안한 비등방성 k-$\varepsilon$모형을 이용하였다. 또한 Exner 방정식을 이용하여 시간에 따른 하상변동을 예측하였다. 그 결과 바닥과 측벽 사이에서 발생되는 바닥 이차흐름의 하향류에 의해 측벽 부근부터 하상이 침식되고, 침식된 유사량은 이차흐름의 횡방향 유속에 의해 이동되어 퇴적되어, 결국 횡방향으로 연속적인 언덕 및 저면과 같인 하상형상이 생성되는 것으로 나타났다. 또한 시간에 따른 이차흐름 및 바닥 전단력, 하상고의 변화에 대해 살펴보았다.

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Distribution of the Reynolds Stress Tensor Inside Tip Leakage Vortex of a Linear Compressor Cascade (I) - Effect of Inlet Flow Angle - (선형 압축기 익렬에서 발생하는 익단 누설 와류내의 레이놀즈 응력 분포 (I) -입구 유동각 변화의 영향-)

  • Lee, Gong-Hee;Park, Jong-Il;Baek, Je-Hyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.8 s.227
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    • pp.902-909
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    • 2004
  • A steady-state Reynolds averaged Navier-Stokes simulation was conducted to investigate the distribution of the Reynolds stress tensor inside tip leakage vortex of a linear compressor cascade. Two different inlet flow angles ${\beta}=29.3^{\circ}$(design condition) and $36.5^{\circ}$(off-design condition) at a constant tip clearance size of $1\%$ blade span were considered. Classical methods of solid mechanics, applied to view the Reynolds stress tensor in the principal direction system, clearly showed that the high anisotropic feature of turbulent flow field was dominant at the outer part of tip leakage vortex near the suction side of the blade and endwall flow separation region, whereas a nearly isotropic turbulence was found at the center of tip leakage vortex. There was no significant difference in the anisotropy of the Reynolds normal stresses inside tip leakage vortex between the design and off-design condition.