• Title/Summary/Keyword: Hydraulic equation

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A Study on Dynamic Characteristics of Hydraulic Transmission Line by Finite Difference Method (有限差分法을 利용한 油壓管路의 特性에 관한 硏究)

  • 오철환;정선국;송창섭
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.1
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    • pp.15-24
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    • 1986
  • Pressure trasients must deal with safety problem of system. For identification of physical situation that can and method of limiting surges are essential consideration in sucessful design. The finite difference equation by method of characteristics are derived from the governing equation of unsteady flow in a pipe, and solved by using boundary condition derived. A computer program which can simulate general hydraulic system is developed by using finite difference equations and boundary conditions derived. The sumulated resulted by developed computer program are in fair agreement with experiment result.

ExPerimental Study on the Determination of Discharge Coefficients in Tide Gates (배수갑문의 유량계수 결정에 대한 실험적 연구)

  • 권순국;나정우
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.28 no.1
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    • pp.51-59
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    • 1986
  • Through the hydraulic model test, a more convenient and accurate method of deter- mining discharge coefficients in the sluice type of tide gates can be derived by the use of aubmergence ratio as a parameter. The results obtained are summarized as follows; 1. Discharge coefficients under submerged flow conditions can be obtained by the application of sutmergerice ratio (S) to the free flow equation of the broad-erested we r. 2. The critical submergence ratios (Scr) for the flat basin and the broad-crested types of sill have the same value of 0.8. 3. Under free flow conditions, the discharge coefficient (m) are 0.37 and 0. 35 for the flat basin and the broad-crested types of sill respectively. However, when submerged flow condition exists, the discharge coefficients for both types of sill is given by a regression equation of discharge coefficients (IL) on submergence ratios (8) expressed as; m 1.3- 1. 17S. 4. The relationships between S and Froude number (Fr), for the flat basin and the broad-crested types of sill are Fr=2. 79-2.495 and Fr2.5=5. 7-6.16S respectively. From the above relationships, it can be concluded that m can also be expressed in terms of the Froude number which is a very relevant hydraulic parameter of the open channel hydraulics.

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Analysis of permeability in rock fracture with effective stress at deep depth

  • Lee, Hangbok;Oh, Tae-Min;Park, Chan
    • Geomechanics and Engineering
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    • v.22 no.5
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    • pp.375-384
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    • 2020
  • In this study, the application of conventional cubic law to a deep depth condition was experimentally evaluated. Moreover, a modified equation for estimating the rock permeability at a deep depth was suggested using precise hydraulic tests and an effect analysis according to the vertical stress, pore water pressure and fracture roughness. The experimental apparatus which enabled the generation of high pore water pressure (< 10 MPa) and vertical stress (< 20 MPa) was manufactured, and the surface roughness of a cylindrical rock sample was quantitatively analyzed by means of 3D (three-dimensional) laser scanning. Experimental data of the injected pore water pressure and outflow rate obtained through the hydraulic test were applied to the cubic law equation, which was used to estimate the permeability of rock fracture. The rock permeability was estimated under various pressure (vertical stress and pore water pressure) and geometry (roughness) conditions. Finally, an empirical formula was proposed by considering nonlinear flow behavior; the formula can be applied to evaluations of changes of rock permeability levels in deep underground facility such as nuclear waste disposal repository with high vertical stress and pore water pressure levels.

Stability analyses of dual porosity soil slope

  • Satyanaga, Alfrendo;Moon, Sung-Woo;Kim, Jong R.
    • Geomechanics and Engineering
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    • v.28 no.1
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    • pp.77-87
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    • 2022
  • Many geotechnical analyses require the investigation of water flow within partially saturated soil zone to incorporate the effect of climatic conditions. It is widely understood that the hydraulic properties of the partially saturated soil should be included in the transient seepage analyses. However, the characteristics of dual porosity soils with dual-mode water retention curve are normally modelled using single-mode mathematical equation for simplification of the analysis. In reality, the rainwater flow can be affected significantly by the dual-mode hydraulic properties of the soil. This paper presents the variations of safety factor for dual porosity soil slope with dual-mode water retention curve and dual-mode unsaturated permeability. This paper includes the development of the new dual-mode unsaturated permeability to represent the characteristics of soil with the dual-mode water retention curve. The finite element analyses were conducted to examine the role of dual-mode water retention curve and dual-mode unsaturated permeability on the variations of safety factor under rainfall loading. The results indicate that the safety factor variations of dual porosity soil slope modelled using the dual-mode water retention curve and the unsaturated permeability equation are lower than those of dual porosity slope modelled using single-mode water retention curve and unsaturated permeability equations.

DEVELOPMENT OF INTERFACIAL AREA TRANSPORT EQUATION

  • ISHII MAMORU;KIM SEUNGJIN;KELLY JOSEPH
    • Nuclear Engineering and Technology
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    • v.37 no.6
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    • pp.525-536
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    • 2005
  • The interfacial area transport equation dynamically models the changes in interfacial structures along the flow field by mechanistically modeling the creation and destruction of dispersed phase. Hence, when employed in the numerical thermal-hydraulic system analysis codes, it eliminates artificial bifurcations stemming from the use of the static flow regime transition criteria. Accounting for the substantial differences in the transport mechanism for various sizes of bubbles, the transport equation is formulated for two characteristic groups of bubbles. The group 1 equation describes the transport of small-dispersed bubbles, whereas the group 2 equation describes the transport of large cap, slug or chum-turbulent bubbles. To evaluate the feasibility and reliability of interfacial area transport equation available at present, it is benchmarked by an extensive database established in various two-phase flow configurations spanning from bubbly to chum-turbulent flow regimes. The geometrical effect in interfacial area transport is examined by the data acquired in vertical fir-water two-phase flow through round pipes of various sizes and a confined flow duct, and by those acquired In vertical co-current downward air-water two-phase flow through round pipes of two different sizes.

The Method for Evaluating Unsaturated Hydraulic Conductivity of the Bentonite-buffer Using Relative Humidity (상대습도를 이용한 벤토나이트 완충재의 불포화 수리전도도 평가방안)

  • Lee, Hang-Bok;Kim, Jin-Seop;Choi, Young-Chul;Choi, Heui-Joo;Kim, Kyungsu
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.12 no.1
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    • pp.69-77
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    • 2014
  • Unsaturated hydraulic conductivity of the bentonite-buffer was evaluated using the relative humidity data. The method for calculating unsaturated hydraulic conductivity was deduced from the general analytical equation representing the movement of water in unsaturated media, which was applied to the experimental results of water infiltration tests for identifying the behavior of unsaturated hydraulic conductivity according to the water saturation. Unlike the saturated condition, the hydraulic gradient and water flux were irregularly changed, and the unsaturated hydraulic conductivity was increased with increasing the experimental time. Swelling of bentonite grains due to the water absorption increased the volume and size of pore within bentonite, resulting in the increase of water velocity and unsaturated hydraulic conductivity. This result suggested the necessity of further investigation on the correlation between the swelling degree of bentonite-buffer and unsaturated hydraulic conductivity. The method used in this study can be useful technique for evaluating long-term hydraulic performance of bentonite-buffer in the radioactive waste disposal system.

A Study on the Temporal Variation of Hydraulic Characteristics by the Stage-Discharge Relation Curve - at Jeokpogyo, Jindong of the Nakdong River - (수위-유량 관계곡선을 이용한 경년별 수리특성량 변동에 관한 연구 - 낙동강 적포교(赤浦橋) 및 진동(津洞) 지점을 중심으로 -)

  • Lee, Jae-Joon;Seol, Ji-Su;Kwak, Chang-Jae
    • Journal of Korea Water Resources Association
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    • v.42 no.10
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    • pp.867-876
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    • 2009
  • In this study, the stage-discharge relation curve made in 2006 is selected with standard curves to seize the hydraulic and geometric characteristics for the temporal variation of the river bed. The relationships among the standard stage-discharge relation curve and the existing stage-discharge relation curves, water level, cross sectional area, and flow velocity are analyzed. Jeokpogyo and Jindong which are the key station of Nakdong river are chosen for the study, with respect to the current river bed to convert the existing stage-discharge curves. The relationships for conversion of previous data, between water level and flow velocity are got. Also the relation equation between water level and cross sectional area and water level, flow velocity are derived. These conversion relationships shows good agreement between observed values and estimated values. It will be very useful to convert past hydraulic quantitations to current one.

Analysis of the Discharge Capacity Improvement of a Lock Gate by Using 3-Dimensional Numerical Simulation (3차원 수치모의를 이용한 배수갑문의 방류능력 개선효과 분석)

  • Kim, Nam-Il;Kim, Dae-Geun;Lee, Kil-Seong;Kim, Dal-Sun
    • Journal of Korea Water Resources Association
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    • v.38 no.3 s.152
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    • pp.189-198
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    • 2005
  • This study showed that numerical simulation can be effectively used to analyze discharge capacity according to the form and arrangement of the lock gate of a tidal power plant. For the numerical simulation, FLOW-3D with Reynolds-averaged Navier-Stokes equation as a governing equation was used. This study found that improvement of apron length and approach angle of guide wall of the lock gate causes differences in discharge capacity of $10\%$ or more. In addition, there was a difference of discharge capacity caused by the connecting structures of the drainage gate and hydraulic turbine structure and the side slope at the end of apron. This study also showed that hydraulic investigation to enhance a discharge capacity is needed when the lock gate is designed and that numerical model experiments can be a useful analysis tool to design the drainage structure, as well as the hydraulic model experiment.

Hydraulic Flood Routing using Linear Reservoir Model (선형저수지모형을 적용한 수리학적 홍수추적)

  • Jeon, Min-Woo;Cho, Young-Soo
    • Journal of Korea Water Resources Association
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    • v.35 no.6
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    • pp.787-796
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    • 2002
  • Hydraulic flood routing was performed for unsteady flow in a natural river using Preissmann scheme. A Log-Pearson Type-Ⅲ hydrograph is chosen arbitrarily as the upstream boundary condition and lateral inflow hydrographs for sensitivity analysis. For the application with an actual river system, upstream and lateral inflow hydrographs were estimated by the linear reservoir model and the Manning's equation was used as the downstream boundary condition. The unsteady flow model using the linear reservoir model as the inflow hydrographs was applied to Bochung stream basin and gives good results, and is approved to be used for the runoff prediction. As results of the sensitivity analysis, the proposed model may help to estimate the roughness coefficients when using the unsteady flow model with lateral inflow combined with the linear reservoir model.

Analysis of the flood Characteristics in the Woo-Ee Stream Using FLOW-3D (FLOW-3D를 이용한 우이천의 홍수특성 분석)

  • Yoon, Sun-Kwon;Moon, Young-Il;Kim, Jong-Suk;Oh, Keun-Taek;Lee, Su-Gon
    • 한국방재학회:학술대회논문집
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    • 2007.02a
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    • pp.603-607
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    • 2007
  • Recently, the frequency of unexpecting heavy rains has been increased due to abnormal climate and extreme rainfall. There was a limit to analyze one dimension or two dimension stream flow of domestic rivers that was applied simple momentum equation and fixed energy conservation. Therefore, hydrodynamics flow analysis in rivers has been needed three dimensional numerical analysis for correct stream flow interpolation. In this study, CFD model on FLOW-3D was applied to stream flow analysis, which solves three dimension RANS(Reynolds Averaged Navier-Stokes Equation) control equation to find out physical behavior and the effect of hydraulic structures. Numerical simulation accomplished those results was compared by using turbulence models such as $k-{\backepsilon}$, RNG $k-{\backepsilon}$ and LES. Those numerical analysis results have been illustrated to bends and junctions by the turbulence energy effects, velocity of flow distributions, water level pressure distributions and eddy flows.

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