• Title/Summary/Keyword: 벽법칙

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Effect of Sinuosity on Vertical Distribution of Streamwise Velocity in Open Channel Flow (개수로 흐름에서 사행도가 흐름방향 유속의 연직분포에 미치는 영향)

  • Seo, Il Won;Baek, Donghae
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.168-168
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    • 2015
  • 자연하천의 주요한 특징 중 하나인 하천의 사행은 직선수로에서 예측되는 유속분포를 왜곡시키며 매우 복잡한 흐름구조를 형성한다. 이는 하상 경계면에서 발생하는 전단응력 분포의 변화를 야기하는데 하상 경계면에서의 전단응력은 다양한 경험적 관계에 의존하는 유사이동의 한계 소류력 산정 및 오염물질 거동해석의 분산계수 산정에 많은 영향을 미치게 된다. 물리적인 관측을 통한 하상 경계면에서의 전단응력의 관측은 다소 제한적이며 많은 비용을 요구한다. 따라서 하상 경계면에서 발생하는 전단응력의 경우 수심의 20% 이하의 연직 유속분포를 벽법칙에 적용하여 추정하는 방법이 주로 이루어지고 있다. 벽법칙을 이용한 하상 경계면의 전단응력을 계산하는 경우 대수중복층의 유속 분포 $u/u^*=(1/{\kappa})ln(zu^*/{\nu})+B$에서 무차원상수 ${\kappa}$와 B의 적절한 추정이 요구되어 진다. 일반적으로 무차원상수 ${\kappa}$와 B는 수리학적으로 매끄러운 벽면에서 대략 ${\kappa}=0.4$, B=5.5로서 경험적으로 이용되고 있다. 본 연구에서는 직선수로 및 다양한 사행수로의 3차원 흐름장 모의를 수행하여 벽법칙의 대수 중복층을 따르는 주흐름 방향 유속의 연직분포를 비교하였다. 수치모의 소프트웨어로서 Linux 기반의 OpenFOAM이 사용되었으며 모델의 검증을 위해 Chang(1971)에 의해 수행 된 사행수로에서의 유속장 관측 결과와 비교하였고 수치모의 결과가 실험 관측치와 잘 일치하는 것으로 판단되었다. 수치모의에 적용 된 사행수로의 형상은 Hey(1976)에 의해 제안 된 사행하천의 지형학적 인자들 간에 관계를 이용하여 사행도 1.03에서 2.42까지 총 7개의 사행수로 지형을 생성하였다. 사행도의 변화에 따라 만곡부 정점에서 대수중복층 구간의 주흐름 방향 유속의 연직분포를 비교한 결과, 본 연구에서 생성 된 모든 사행수로에서 대수중복층 구간의 무차원 유속 $u^+$와 무차원 거리 $z^+$가 로그 분포를 따르는 것으로 나타났으나 경험적으로 사용되었던 무차원상수 B의 경우 사행도가 증가 할수록 대수적으로 감소하는 경향이 나타났다. 본 연구에서는 이러한 관계가 무차원 상수 B값에 미치는 영향을 반영하여 수리학적으로 매끄러운 벽면에서 적용이 가능한 수정된 대수중복층 식을 제시하고자 한다.

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An Inner Region Velocity-Profile Formula of Turbulent Flows on Smooth Bed (매끄러운 하상위 난류의 내부 영역 유속 분포 공식)

  • Yu Kwon-Kyu;Yoon Byung-Man
    • Journal of Korea Water Resources Association
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    • v.39 no.9 s.170
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    • pp.737-744
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    • 2006
  • The velocity of the inner region of turbulent flow on a smooth bed has complex profile which can not be described with a simple formula. Though there have been a couple of formulas describing the profile, most of them have very complex forms, i.e., with many terms, with integration form, or with implicit forms. It means that it is hard to use them or it is difficult to estimate their parameters. A new single formula that describes the velocity profile of the inner region of the turbulent flow on a smooth bed was proposed. This formula has a form of the traditional log-law multiplied by a damping function. Introducing only one additional parameter, it can describe the whole inner range nicely. It approximates the law-of-the-wall in the vicinity of the bed and approaches to the log-law in the overlap region. The added parameter, damping factor, can be estimated very easily. It is not sensitive to the Reynolds number change and the velocity profile calculated by the formula does not change much due to the change of the parameter.

Converting Ieodo Ocean Research Station Wind Speed Observations to Reference Height Data for Real-Time Operational Use (이어도 해양과학기지 풍속 자료의 실시간 운용을 위한 기준 고도 변환 과정)

  • BYUN, DO-SEONG;KIM, HYOWON;LEE, JOOYOUNG;LEE, EUNIL;PARK, KYUNG-AE;WOO, HYE-JIN
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.23 no.4
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    • pp.153-178
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    • 2018
  • Most operational uses of wind speed data require measurements at, or estimates generated for, the reference height of 10 m above mean sea level (AMSL). On the Ieodo Ocean Research Station (IORS), wind speed is measured by instruments installed on the lighthouse tower of the roof deck at 42.3 m AMSL. This preliminary study indicates how these data can best be converted into synthetic 10 m wind speed data for operational uses via the Korea Hydrographic and Oceanographic Agency (KHOA) website. We tested three well-known conventional empirical neutral wind profile formulas (a power law (PL); a drag coefficient based logarithmic law (DCLL); and a roughness height based logarithmic law (RHLL)), and compared their results to those generated using a well-known, highly tested and validated logarithmic model (LMS) with a stability function (${\psi}_{\nu}$), to assess the potential use of each method for accurately synthesizing reference level wind speeds. From these experiments, we conclude that the reliable LMS technique and the RHLL technique are both useful for generating reference wind speed data from IORS observations, since these methods produced very similar results: comparisons between the RHLL and the LMS results showed relatively small bias values ($-0.001m\;s^{-1}$) and Root Mean Square Deviations (RMSD, $0.122m\;s^{-1}$). We also compared the synthetic wind speed data generated using each of the four neutral wind profile formulas under examination with Advanced SCATterometer (ASCAT) data. Comparisons revealed that the 'LMS without ${\psi}_{\nu}^{\prime}$ produced the best results, with only $0.191m\;s^{-1}$ of bias and $1.111m\;s^{-1}$ of RMSD. As well as comparing these four different approaches, we also explored potential refinements that could be applied within or through each approach. Firstly, we tested the effect of tidal variations in sea level height on wind speed calculations, through comparison of results generated with and without the adjustment of sea level heights for tidal effects. Tidal adjustment of the sea levels used in reference wind speed calculations resulted in remarkably small bias (<$0.0001m\;s^{-1}$) and RMSD (<$0.012m\;s^{-1}$) values when compared to calculations performed without adjustment, indicating that this tidal effect can be ignored for the purposes of IORS reference wind speed estimates. We also estimated surface roughness heights ($z_0$) based on RHLL and LMS calculations in order to explore the best parameterization of this factor, with results leading to our recommendation of a new $z_0$ parameterization derived from observed wind speed data. Lastly, we suggest the necessity of including a suitable, experimentally derived, surface drag coefficient and $z_0$ formulas within conventional wind profile formulas for situations characterized by strong wind (${\geq}33m\;s^{-1}$) conditions, since without this inclusion the wind adjustment approaches used in this study are only optimal for wind speeds ${\leq}25m\;s^{-1}$.

Determination of longitudinal dispersion coefficient in open channel flow with submerged vegetation (수중식생이 있는 개수로 흐름에서의 종분산계수 산정)

  • Seo, Il Won;Seo, Jinyu;Bang, Joo Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.141-141
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    • 2018
  • 자연하천에 존재하는 식생은 동식물에게 주거지를 제공할 뿐만 아니라 영양염류 흡착 및 정화작용을 통해 수질을 개선시키는 역할을 한다. 이러한 식생하천에 오염물질이 유입될 경우 식생에 의한 흐름 교란 작용으로 인해 오염물의 확산거동에 큰 영향을 주게 된다. 본 연구에서는 식생하천에서의 오염물질 혼합특성을 분석하기 위해 식생모형 실험을 수행하였고, Fischer et al (1979)이 제시한 이론식을 실험결과에 적용하여 종분산계수를 산정하고자 한다. 본 연구에서는 자연하천을 재현하기 위해 실험수로에 수중식생 모형을 설치한 후 ADV-Vectrino유속계를 이용하여 유속을 측정하였으며 실험을 통해 식생흐름에서의 유속분포 자료를 취득하고 이를 바탕으로 종분산계수를 산정하였다. 먼저 수중 식생흐름에서 연직유속분포를 측정한 결과, 식생이 존재하는 바닥근처에서는 유속이 느리다가 비식생 구간으로 가면서 유속이 증가하는 분포를 나타낸다. 또한 이 설치된 테스트 구간에 밀도와 유량변화에 따른 케이스를 적용하여 비교 및 분석을 한 결과 식생 밀도를 고정시키고 유량을 증가 시켰을 때 식생구간과 식생이 없는 구간에서의 유속도 증가하는 경향을 보였으며, 유량을 고정시키고 식생의 밀도를 순차적으로 높였을 경우 식생구간에서의 유속이 점차적으로 줄어드는 경향을 보였다. 다음으로 분산계수를 결정하는 방법에는 농도자료를 이용하는 방법과 유속자료를 이용하는 방법이 있는데 본 연구에서는 유속자료를 Fischer et al. (1979)의 이론식에 적용하여 분산계수를 산정하는 방법을 적용하였다. Fischer et al. (1979)가 제시한 식에서 먼저 전단 유속 값을 산정하기 위해 벽법칙 (Karman, 1930), 레이놀즈 전단응력 그리고, 난류운동에너지 (Graf, 1998) 방법을 사용한 후 복잡한 난류 흐름에 적용하기 가장 적합하다는 난류운동에너지 방법을 적용하여 전단 응력이 가장 크게 나온 식생모델 끝단에서의 값을 사용하였다. 그 결과, 수중 식생이 존재하는 흐름에서 무차원화 시킨 종분산계수는 6.89-9.78로 나타났다, 이는 Elder (1959)의 수심 적분을 통해 제시한 종분산계수 값 5.93보다 크다. 즉, 수중 식생이 존재할 경우 종분산계수는 식생이 존재 하지 않을 때 보다 증가하는 것으로 보여 진다.

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Prediction of Turbulent Boundary Layers on Convex Surfaces with Reynolds Stress Closure Model (레이놀즈응력모델을 사용한 곡면상의 난류경계층에 대한 수치해석)

  • 김광용
    • 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.

A Study of using Wall Function for Numerical Analysis of High Reynolds Number Turbulent Flow (고 레이놀즈수 유동의 수치해석시 벽함수 사용에 관한 연구)

  • Choi, Jung-Kyu;Kim, Hyoung-Tae
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.5
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    • pp.647-655
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    • 2010
  • In this paper, a numerical study is carried out for super-pipe, flat plate and axisymmetric body flows to investigate a validity of using wall function and high $y_1^+$ in calculation of high Reynolds number flow. The velocity profiles in boundary layer agree well with the law of the wall. And it is found that the range of $y^+$��which validated the logarithmic law of the wall grows with increasing Reynolds number. From the result, an equation is suggested that can be used to estimate a maximum $y^+$ value of validity of the log law. And the slope(1/$\kappa$) of the log region of the numerical result is larger than that of experimental data. On the other hand, as $y_1^+$ is increasing, both the friction and the pressure resistances tend to increase finely. When using $y_1^+$ value beyond the range of log law, the surface shear stress shows a significant error and the pressure resistance increases rapidly. However, when using $y_1^+$ value in the range, the computational result is reasonable. From this study, the use of the wall function with high value of $y_1^+$ can be justified for a full scale Reynolds number ship flow.

Pre-Service Elementary Teachers' Views on 'Action and Reaction': Focused on their Understandings and Typically-Perceived-Situations (TPS) (초등예비교사의 '작용과 반작용' 개념 -이해 정도와 전형적 인식상황 분석을 중심으로-)

  • Joung, Yong Jae
    • Journal of The Korean Association For Science Education
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    • v.36 no.6
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    • pp.851-866
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    • 2016
  • The purpose of this study is to investigate pre-service elementary teachers' views of the law of action-reaction by examining their degrees of understanding and Typically-Perceived-Situations (TPS). Data were collected from 177 Grade 3 pre-service elementary teachers. The results of analyzing these data show: First, the participants did not sufficiently understand about the law of action-reaction, and their degrees of understanding were different depending on the situation provided in the questionnaire. Second, in relation to the TPSs of the law of action-reaction, the participants thought of irrelevant situations to the law of action-reaction such as "a situation generated by inertia" as well as commonly relevant ones such as "a person pushing a wall", and had somewhat biased TPSs in terms of 'action type' and 'result motion type' of action-reaction. Finally, several suggestions on the science education for promotion of understanding about the law of action-reaction were given.

A Simple Model for the Nonlinear Analysis of an RC Shear Wall with Boundary Elements (경계요소를 가진 철근콘크리트 전단벽의 비선형 해석을 위한 간편 모델)

  • Kim, Tae-Wan;Jeong, Seong-Hoon;You, Tae-Sang
    • Journal of the Earthquake Engineering Society of Korea
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    • v.15 no.4
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    • pp.45-54
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    • 2011
  • A simple model for reinforced concrete shear walls with boundary elements is proposed, which is a macro-model composed of spring elements representing flexure and shear behaviors. The flexural behaviour is represented by vertical springs at the wall ends, where the moment strength and rotational capacity of the wall are based on section analysis. The shear behaviour is represented by a horizontal spring at the wall center, where the key parameters for the shear behavior are based on the flexural behaviour since the shear walls with boundary elements are governed by the flexure. The proposed model was prepared with the results of hysteretic tests of the shear walls, and then the reliability of the hysteretic rule and variables was investigated by nonlinear dynamic analyses. Using parametric study with nonlinear dynamic analyses, the effect of the variables on demand and capacity, which are major parameters in seismic performance evaluation, are investigated. Results show that the measured and calculated shear forces versus the shear distortion relationships are slightly different, but the global response is well simulated. Furthermore, the demand and capacity are also changed in a similar way to the change in the major parameters so that the proposed model may be appropriate for reinforced concrete shear walls with boundary elements.

ANALYSIS OF VORTEX SHEDDING PHENOMENA AROUND PANTOGRAPH PANHEAD FOR TRAIN USING LARGE EDDY SIMULATION (LES를 이용한 판토그라프 팬헤드의 와 흘림 현상 해석)

  • Jang, Yong-Jun
    • Journal of computational fluids engineering
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    • v.16 no.2
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    • pp.17-23
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    • 2011
  • The turbulent flow and vortex shedding phenomena around pantograph panhead of high speed train were investigated and compared with available experimental data and other simulations. The pantograph head was simplified to be a square-cross-section pillar and assumed to be no interference with other bodies. The Reynolds number (Re) was 22,000. The LES(large eddy simulation) of FDS code was applied to solve the momentum equations and the Wener-Wengle wall model was employed to solve the near wall turbulent flow. Smagorinsky model($C_s$=0.2) was used as SGS(subgrid scale) model. The total grid numbers were about 9 millions and the analyzed domain was divided into 12 multi blocks which were communicated with each other by MPI. The time-averaged mainstream flows were calculated and well compared with experimental data. The phased-averaged quantities had also a good agreement with experimental data. The near-wall turbulence should be carefully treated by wall function or direct resolution to get successful application of LES methods.

Numerical Study for 3D Turbulent Flow in High Incidence Compressor Cascade (고입사각 압축기 익렬내의 3차원 난류유동에 관한 수치적 연구)

  • 안병진;정기호;김귀순;임진식;김유일
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2002.04a
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    • pp.35-40
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    • 2002
  • A numerical analysis based on two-dimensional and three-dimensional incompressible Navier-Stokes equations has been carried out for double-circular-arc compressor cascades and the results are compared with available experimental data at various incidence angles. The 2-D and 3-D computational codes based on SIMPLE algorithm adopt pressure weighted interpolation method for non-staggered grid and hybrid scheme for the convertive terms. Turbulence modeling is very important for prediction of cascade flows, which are extremely complex with separation and reattachment by adverse pressure gradient. In this paper k-$\varepsilon$ turbulence model with wall function is used to increase efficiency of computation times.

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