• Transactions of the Korean Society of Mechanical Engineers B
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• v.41 no.4
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• pp.229-238
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• 2017

This study started to deduce a permeability relationship that can consider the geometric features of various porous media under different flow regimes. With reference to the previous works of Kozeny and Carman, the conventional Darcy-Weisbach relation (Darcy's friction flow equation) was reviewed and expanded for porous flow analysis. Based on the capillary model, this relation was transformed to the friction equivalent permeability (FEP) definition. The validity of the FEP definition was confirmed by means of comparison with the Kozeny-Carman equation. Hereby, it was shown that the FEP definition is the generalized form of the Kozeny-Carman equation, which is confined to laminar flow through a circular capillary. In conclusion, the FEP definition as a new permeability estimation method was successfully developed by expanding the Darcy-Weisbach relation for porous flow analyses.

• Proceedings of the Korea Water Resources Association Conference
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• 2005.05b
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• pp.1179-1183
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• 2005

본 연구에서는 신뢰성 있는 해안지역의 지하수개발량 평가를 위하여 기존의 물수지 분석에서 누락되었던 성분인 해안지하수유출량을 Darcy의 식과 수치모형(DUSWIM)을 이용하여 산정하였다. 연구대상지역은 전라북도 부안군 부동지구의 여섯 개 소유역이다. Darcy의 식을 이용한 해안지하수유출량산정을 위하여 각 지구별로 해안으로부터의 거리 1km, 2km, 3km에 대한 동수경사를 산정하였으며 각각의 동수경사에 대한 유출량을 평균하여 평균 일유출량과 평균 년유출량을 산정하였다. 수치모형(DUSWIM)을 이용한 해안지하수유출량 산정을 위하여 부동지구내 6개의 소유역을 대상으로 해석모형을 구성하고 대상유역내의 대수층을 충적층과 암반층으로 구분하여 토양물성치를 적용하여 정상상태해석을 수행하였다. 산정결과, 시험유역의 해안지하수 유출량은 수치모형(DUSWIM)을 이용한 결과가 Darcy의 식을 이용한 결과에 비하여 다소 크게 나타났다. 산정된 지하수해안유출량은 유역내의 강수량대비 각각 5.05, $5.56\%$에 해당하는 양으로 이를 유역내의 해안선길이당 유출량으로 환산하면 Darcy의 식을 이용한 경우는 $0.76m^3/day/m$이고 수치모형을 이용한 경우는 $0.84m^3/day/m$이다.

• Journal of Korea Water Resources Association
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• v.37 no.8
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• pp.613-622
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• 2004

The simulation results of final closing by the developed model considering the flows through tide embankment of non-Darcy and through sluice gate agree well to the observed data which shows the model applicability. In comparative analysis with observed data, the simulation results by Homma(1958) are more accurate than those by Na(1987). The free flow equation with discharge coefficient, regardless of free or submerged flows, by Na based on the submergence ratio is applicable to the engineering practices. Because two simulated discharges are greater than the actual one, the correction of discharge coefficients reflecting the irregular section of actual closing gap situation is necessary. In the hydraulic analysis of final closing, the flow through tide embankment has been generally analysed by Darcy. Hydraulic analysis by the correct discharge through tide embankment of non-Darcy flow is necessary, because the ratio between flows through tide embankment and closing gap is relatively great at final closing.

• Proceedings of the Korea Water Resources Association Conference
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• 2004.05b
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• pp.1469-1473
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• 2004

Non-Darcy흐름에 따른 호안제체의 흐름과 배수갑문을 통한 유출입 특성을 고려한 체절구간의 수리특성분석 도형에 의한 해석결과는 실측자료와 비교적 잘 일치하여 개발된 모형의 적용성이 있음을 보여주었다. 실측치와 비교한 계산결과는 본간(1958) 식에 의한 계산이 나(1987)에 의한 방법보다 비교적 정확하게 계산할 수 있음을 보여주었다. 아울러 완전 또는 불완전 월류의 구분이 없이 잠수도에 의한 계산을 통해서 하나의 유량계수 관계곡선을 사용하여 간편하게 사용할 수 있는 나 식의 사용성을 보여 주었다. 본간 식과 나 식에 의한 계산 값이 실측치보다는 유출입 특성이 크게 나타나고 있는 것으로 나타났다. 따라서 현장에서의 체절구간의 불규칙적인 단면 양상을 감안한 유량계수의 조정이 필요할 것으로 판단된다. 일반적으로 체절구간의 수리특성의 분석을 위해서 제체구간 유량의 고려는 Darcy 흐름에 기초하여 분석한 것이 지금까지의 분석이다. 제체를 통과는 유량과 개방구간을 통과하는 유량의 비가 체절구간이 좁을수록 크게 나타나 제체의 정확한 유출임 특성을 고려한 체절구간의 수리특성을 분석해야할 필요가 있음을 확인하였다.

• Journal of Korea Water Resources Association
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• v.37 no.2
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• pp.87-96
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• 2004

The simulation results using i- V relationship of non-Darcy flow through tide embankment by Li et al.(1998) agree well to the observed data. The use of i- V relationship is applicable to the engineering practice and the correct input of porosity is necessary. The non-Darcy flow based on the pipe flow and Taylor's definition for mean hydraulics radius in rockfill material is applicable to the block and caisson materials. The correct calculation of flow through tide embankment enables the accurate calculation of velocity at final closing gap and the prediction of inner water level after tide embankment construction as well.

• The Journal of the Korea Contents Association
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• v.12 no.7
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• pp.445-452
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• 2012

This study is used to analyze the distribution of resistance factors and the relationships of flow resistance with the field measurements which consist of the total 2,604 rivers for 1,865 bed material in natural channels and 739 vegetation in vegetated channels. Resistance factor relationships and distribution range of Manning roughness coefficients and Darcy-Weisbach friction coefficients by the regression analysis are derived from the power law form as a function of flow discharge and friction slope with bed materials and vegetations in natural and vegetated rivers, respectively.

• Journal of Korean Society of Water and Wastewater
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• v.21 no.4
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• pp.421-428
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• 2007

Many engineering problems on the pipeline flow use continuity, energy, friction loss head equation. To calculate friction loss head in a pipeline, Darcy-Weisbach and many average velocity equations can be used and Hazen-Williams equation is used frequently in the pipe network for the water supply systems. Darcy-Weisbach equation is a general one acquired from applying Bernoulli's equation in the pipeline flow and Hazen-Williams equation is a experimental one in case that pipe velocity is below 3m/sec and pipe diameter is over 50mm. In this study, comparing Darcy-Weisbach with Hazen-Williams equation, relation f and C that are expressed as roughness coefficients of those equations is explained. Next, head losses calculated from using those equations are compared and those are applied in realistic pipelines. Comparing f with C, the f is decreasing linearly according to increase of the Reynolds number Re and increasing in case the C is decreasing. additionally, the C is increasing up to a point and then is decreasing according to increase of the Re. Next, the C is increasing and Re's range for increase of the C lengthens in case of decreasing of the relative roughness ${\varepsilon}/d$. Comparing head losses acquired from the two equations, head loss appears large in case that the C is decreasing and the ${\varepsilon}/d$ is increasing. additionally, Head loss calculated by the Darcy-Weisbach equation varies larger than one by Hazen-Williams equation in regard of the Re. Next, change aspect of head loss acquired by the C is distinguished more clearly than the one by the ${\varepsilon}/d$.

• Journal of Korea Water Resources Association
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• v.53 no.10
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• pp.861-870
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• 2020

As the flow velocity and Reynolds number increase in rockfill porous media, the flow deviates from Darcy conditions. In this study, the permeability tests of rock column specimen and laboratory gabion weir model were carried out to investigate a head loss behaviour of flow through rockfill deposition in small river artificial recharge. Through column test, the nonlinear relationships between flow velocity and hydraulic gradient and coefficients were determined and the correlation formula of hydraulic mean radius and coefficients was proposed. The flow velocities and discharges in voids estimated by proposed equations were well matched with the measured values of laboratory gabion weir model.

• Proceedings of the Korea Water Resources Association Conference
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• 2007.05a
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• pp.438-443
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• 2007

개수로 흐름에 대한 연구는 1700년대 중엽 Chezy에 의해 이론적인 기초를 다졌으며, 광범위하고 조직적인 관측연구는 Darcy(1803-1858)에 의해 약 150년 전에 폭 2m, 길이 600m에 이르는 수로에서 실험관측을 수행하고자 시도하였다. Darcy의 동료이자 후계자인 Bazin은 제한된 조건의 현장관측뿐 아니라 다양한 조건의 수로를 제작하여 실험관측을 수행하였으며 그의 실험자료는 Bazin 자신 뿐만 아니라 Manning이나 Ganguillet와 Kutter 등 여러 연구자들의 경험식 개발에도 이용되었다. Nikuradse(1933)의 균일조도 원형관수로 실험결과로부터 관로 흐름은 층류, 천이층류, 완난류, 천이난류, 전난류 등 다섯 종류의 흐름특성을 가지고 있음을 확인하였고 Bazin(1829-1917)과 varwick(1945)의 실험결과로부터 개수로 흐름에서도 관로 흐름과 마찬가지로 층류, 천이층류, 완난류, 천이난류, 전난류 등 다섯가지의 흐름특성이 존재함을 알 수 있다. 본 연구에서는 기존의 지수형 마찰계수 산정식에서 단순히 조고만의 함수였던 ${\alpha}$에 물의 기본적인 성질인 표면장력, 점성력, 밀도와 자연 하천의 경사, 수심, 수면, 폭, 조고의 영향을 고려한 수심에 관한 무차원수 $Y_h$, 수면 폭에 관한 무차원수 $Y_b$, 조고에 관한 무차원수 $Y_k$를 도입하였다. 따라서 개수로 흐름 해석에 있어서 기존의 마찰계수 산정치보다 여러 영향을 반영하여 정확한 값을 산정할 수 있을 것으로 판단된다.

• Journal of Korea Water Resources Association
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• v.45 no.2
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• pp.137-149
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• 2012

Field measurements of resistance to flow are analyzed for 739 rivers vegetated with grass (281 channels), shrubs (150 channels) and trees (308 channels). The measured distribution of Manning roughness coefficients ranges from 0.015~0.250 for grass, 0.016~0.250 for shrubs, 0.018~0.310 for trees. Significant trends are obtained between Darcy-Weisbach (or Manning roughness coefficients) and flow discharge, friction slope, and relative submergence. The regression equations for Darcy-Weisbach and Manning roughness coefficients in vegetated rivers are: $f_{veg}=0.436Q^{-0.363}$, $f_{veg}=3.305S_f^{0.508}$, and $n_{veg}=0.061Q^{-0.124}$, $n_{veg}=0.144S_f^{0.199}$, $V=5.3(h/d_{50})^{1/8.3}{\sqrt{ghS_f}}$, $\sqrt{8/f}(=V/u*)=5.75log(5h/d_{50})$, respectively. These semi-empirical relationships should be useful for hydraulic engineering practice.