• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.555-559
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• 2009

난류응력은 순간속도성분을 시간평균성분과 편차성분의 합으로 보고 Navier-Stokes 방정식으로부터 Reynolds 방정식을 유도할 때 나타나게 된다. Reynolds 방정식으로부터 수심 적분된 천수방정식을 유도하는 과정에서 시간 평균된 유속성분을 수심 적분된 유속성분과 편차성분의 합으로 본다면, 분산응력 (dispersion stress)이라고 하는 추가적인 새로운 항이 잔류하게 된다. 점성응력, 난류응력, 그리고 분산응력을 통칭하여 유효응력 (effective stress)이라고 한다. 일반적으로 수심에 비해 수로 폭이 넓은 개수로에서는 유효응력이 흐름특성의 수치 근사해에 큰 영향을 미치지 못한다고 가정하여 2차원 수심적분 모형에서 유효응력을 생략하기도 한다. 또한 유효응력을 적용하더라도, 점성응력이 난류응력에 비해 무시할 만큼 작다고 가정하여 난류응력만을 적용하며, 분산응력은 무시된다. 하지만 만곡부에서는 원심력과 편수위로 인한 횡방향 압력의 불균형이 발생하기 때문에, 만곡부의 이차류가 발생되며, 유속의 연직방향 분포도 일정하지 않게 된다. 따라서 본 연구의 목적은 만곡부의 이차류 특성을 수심적분 2차원 모형에 반영하기 위해 분산응력을 고려한 모형의 개발 및 검증이다. 불규칙한 모의영역을 원활히 나타낼 수 있도록 곡선좌표계를 사용하는 여타 모형들과 달리 유한유소법을 이용하여 수치해를 구하며, 따라서 x, y 좌표축을 사용하는 데카르트 좌표계를 사용하여 지배방정식을 나타낸다. 분산응력의 유 무에 따른 수치결과를 Rozovskii의 $180^{\circ}$ 만곡수로 실내실험 자료와 비교하여 개발 모형을 검증한다.

• Transactions of the Korean Society of Mechanical Engineers
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• v.15 no.5
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• pp.1717-1726
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• 1991

본 연구에서는 낮은 레이놀즈수 영역에도 적용될 수 있는 레이놀즈응력모델의 개발을 위해, 우선 벽근처 영역에서 사용되는 실험식(벽법칙)을 Hassid와 Poreh에 의 해 개발된 1-방정식모델로 대체하고 이를 레이놀즈응력모델과 접속시키는 방식을 사용 하였다. Hassid-Poreh의 1-방정식모델은 이미 Gibson등에 의해 그 성능이 평가되어 압력구배가 크지 않은 경계층유동의 낮은 레이놀즈수 영역에서 매우 좋은 결과를 보여 줌이 밝혀졌다. 본 연구에서는 곡면위의 난류경계층에 대해 위에서 설명한 바 있는 난류모델을 적용함에 있어 Gillis등과 Gibson등에 의해 실험된, 각각 곡률이 큰 경우 와 작은 경우의 대표적인 유동을 선택하여 모델의 성능을 시험하였다. 1-방정식모델 내에 포함된 길이차원(length scale)에 대해서는 곡률을 고려한 수정이 이루어졌다.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.26 no.5B
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• pp.529-537
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• 2006

This paper investigates the impacts of the drag-related weighting coefficients on mean velocity and turbulence structures. The transport equations for the Reynolds stress of vegetated open-channel flows are derived by using the temporal- and horizontal-averaging scheme. It is found that the total Reynolds stress of vegetated open channel flows consists of the Reynolds stress due to temporally fluctuating velocities and the Reynolds stress due to spatially fluctuating velocities. The drag-related weighting coefficient $C_{fk}$ for the total Reynolds stress component is found to be unit, while the coefficient for the Reynolds stress due to temporally fluctuating velocities can be negligible. This is the reason why very small weighting coefficients in previous studies yield very good agreements with measured data. In other words, the Reynolds stress due to spatially fluctuating velocities remains still unknown, especially due to the large number of measuring locations. Through a developed Reynolds stress model, vegetated open-channel flows are simulated and compared with measured data from the literature. Comparisons reveal that the computed mean flow and Reynolds stress structures are hardly affected by the drag-related weighting coefficients. However, the computed turbulence intensity profiles are significant different with the drag-related weighting coefficients. A budget analysis of the transport equations for the Reynolds stress component is carried to investigate why turbulence intensity is affected by the drag-related weighting coefficients.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.7 no.3
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• pp.248-256
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• 1995

The numerical study on the surface buoyant jets has remained of requiring more intensive investigation for problems due to the treatments of free surface, Reynolds stress/flux terms in turbulent flow and especially buoyancy effects on the turbulent fluctuation. etc. The verification of predicted results from the numerical study continues in the qualitative study. because of the lack of experimental data, which seems to be due to the difficulties in measuring the turbulent fluctuations in concentration or temperature fields. In this study, the computer program of Algebraic Stress Model has been developed to investigate the behaviours of two-dimensional surface buoyant jets with free surface boundary condition. The computational results are compared with published experimental data. By comparing these results with experimental data. it is found that this model can predict fairly well the flow characteristics of two-dimensional surface buoyant jets in the momentum-dominant region and buovancy-dominant region. Especially, it is proved that this model can predict the flow characteristics reasonably in buoyancy-dominant region stably stratified due to buoyancy effect.

• Korean Journal of Air-Conditioning and Refrigeration Engineering
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• v.1 no.1
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• pp.21-31
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• 1989

본 연구에서는 경사진 hot-wire probe 의 특성값을 구하고 열선풍속계의 응답식으로부터 수평원통관내에서 3차원 흐름의 속도성분과 난류 강도 그리고 전단 응력을 pitot tube의 결과와 비교 연구하였다. 또한, 속도 및 난류 강도에 관한 유도된 식을 swirling flow에도 적용하여 만족한 결과를 얻었다.

• Transactions of the Korean Society of Mechanical Engineers
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• v.16 no.3
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• pp.540-546
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• 1992

Turbulent Couette flow between coaxial cylinders with inner one rotating has been investigated experimentally and numerically. The radius ratio of the coaxial cylinders is 0.43. Mean velocity and turbulent stresses have been measured by hot-wire anemometer in the range of Reynolds number based on the velocity at rotating wall and the radial distance between walls, 60,900-187,000. For the numerical computation, the Reynolds stress model has been used as a turbulence closure model. Measurements of mean velocity show that the velocity profile of wall layer largely deviates from universal logarithmic law due to the effect of streamline curvature, especially in the region near the stationary outer cylinder. The results computed with the Reynolds stress model agree well with the experimental data in the prediction of circumferential intensity of turbulent fluctuations. However, the computed level of radial intensity is much higher than the measurement. Curvature-corrected versions of the Reynolds stress model improves the prediction of turbulent intensities, but the results are not fully satisfactory.

• Journal of the Society of Naval Architects of Korea
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• v.36 no.3
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• pp.8-14
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• 1999

The flor characteristics around the KRISO 3600TEU container ship model have been experimentally investigated in a subsonic wind tunnel. The mean velocity and turbulence characteristics in the stern and wake regions were measured using an x-type hot-wire probe. The flow characteristics in the stern and near wake regions revealed a complicated three-dimensional flow pattern. The measured results showed clearly the formation of longitudinal vortices and their effect on the flow pattern in the wake region. The shear layer developed along the ship model expands showly to the downward direction. The turbulence statistics measured can be used as comparative data of numerical simulations and provide insights into development of accurate turbulence models for the ship design.

• Transactions of the Korean Society of Mechanical Engineers
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• v.10 no.1
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• pp.110-120
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• 1986

45.deg. corss jet flow, at the mixing of two jet flows, was experimentally studied. For this study, only the statistical turbulent characteristics and high order moments will be analysed by on-line computer system (hot-wire anemometer system, dynamic analyser and computer system, plotting and printing system). Since mean velocity distributions, intensities of turbulence, Reynolds stresses, correlation coefficients, and other general results were already studied and presented. One dimensional probability density distributions of u', v', and w' were analysed comparing with Gaussian curve, which showed skew and flat tendency according to the Y and Z directions. For the analysis of the joint flow of turublent components, the joint probability density distributions were examined. The fagures were drawn so as to be read joint probabilities, joint probability densities, fluctuating velocities u', v', and w'. For further detailed examination of the variations of skewness and flatness phenomena, iso-joint probability density contours obtained from the profiles of the joint probability density distributions were studied. According to the displacement of positions from the center of the mixing flow and the directions, the flatness and skewness factors were increased.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.8 no.1
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• pp.28-36
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• 1996

The influence of vertical eddy viscosity to the nonlinear interaction of tidal current and wind-induced current is examined using a point model. A zero-equation turbulence model is derived by simplifying the q$^2$-q$^2$1 turbulence model under the assumption that the generation of turbulence kinetic energy is balanced with its dissipation and is further modified to include the depth of frictional influence properly The zero-equation turbulence model is derived and the possibility of resonance in the presence of Coriolis effect is suggested. The amplitudes of tidal currents remain the same regardless of the applied wind stress, but the over-tide component is generated due to the nonlinear interaction of tidal current and wind-induced current. Significant changes in the vertical profile of wind-induced currents can occur according to tide-induced background turbulence. The turbulence model can give rise to misleading results when applied to the wind-driven circulation in the tide-dominated sea such as Yellow Sea unless the tide-induced background turbulence is adequately included in the parameterization of vertical eddy viscosity.

• Transactions of the Korean Society of Mechanical Engineers
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• v.14 no.1
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• pp.230-240
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• 1990

An exprimental research has been carried out to find the intermittent flow pattern in the transition region of a turbulent round jet in order to elucidate detailed turbulence structure and to accumulate basic data necessary for computational turbulence modelling. Turbulent signals were processed digitally to obtain conventional or conditional velocity components. The high-order conditional correlations obtained in this study showed similar trends as those of other free shear flows. It was found that the non-turbulent fluid contributes negligibly to the turbulent kinetic energy production and its diffusive transport and that the diffusion by bulk convection has the same order of magnitude as the gradient diffusion in the free boundary region. The statistical analyses such as flatness factor, skewness factor and probability density functions of turbulent and non-turbulent zone durations have also been performed.