• Title/Summary/Keyword: Theoretical equation

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A Study on the Development of Regional Master Recession Curve Model

  • Lee, Jae-Hyoung;Oh, Nam-Sun;Lee, Hee-Ju
    • Journal of Soil and Groundwater Environment
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    • v.6 no.3
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    • pp.61-71
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    • 2001
  • A regional master recession curve model to predict groundwater discharges in a given basin was presented. Considering a stream-aquifer system, both theoretical and experimental baseflow equations were compared and a practical groundwater discharge equation was derived, The groundwater discharge equation was expanded and transformed to the discharge equation at the basin exit. For practical use, the equation was expressed as a function of watershed area, the mean slope of basin and the recession constant. To verify the model, the model was applied to Ssang-chi basin where long-term and temporal hydrological data at the upper basin were collected. Our results show that a master recession curve of unmeasured area can be predicted.

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Measurement of Terminal Velocity for Scatter Prevention of Powder in the Voloxidizer for Oxidation of UO$_{2}$ Pellet (UO$_{2}$ 펠릿 산화로의 분말 비산 방지를 위한 최종속도 측정)

  • Kim Young-Hwan;Yoon Ji-Sup;Jung Jae-Hoo;Jin Jae-Hyun;Hong Dong-Hee
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.3 no.2
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    • pp.77-84
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    • 2005
  • A voloxidizer for a hot cell demonstration, that handles spent fuels of a high radiation level in a limited space should be small and spent fuel powders should not be dispersed out of the equipment involved. In this study a density rate equation as well as the Stokes'equation has been proposed in order to obtain the theoretical terminal velocity of powders. The terminal velocity of U$_{3}$O$_{8}$ has been predicted by using the terminal velocity of SiO$_{2}$, and then determination has been the optimum air flow rate which is able to prevent powders from scattering. An equation which has shown a relationship between theoretical terminal velocities of U$_{3}$O$_{8}$ and SiO$_{2}$ has been derived with the help of the Stokes'equation, and then an experimental verification made for the theoretical Stokes' equation of SiO$_{2}$ by means of an experimental device made of acryl. The theoretical terminal velocity based on the proposed density rate equation has been verified by detecting U$_{3}$O$_{8}$ powders in a filter installed in the mock-up voloxidizer. As the results, the optimum air flow rates seem to be 20 LPM by the Stokes'equation while they are 14.5 L/min by the density rate equation. At the experiments with the mock-up voloxidizer, a trace amount of U$_{3}$O$_{8}$ seems to be detectable at the air flow rate of 14.5 L/min by the density rate equation, but U$_{3}$O$_{8}$ powders of 7$\mu$m diameter seem detectable at the air flow rate of 20 L/min by the Stokes'equation. It is revealed that 14.5 L/min is the optimum air flowe rate which is capable of preventing U$_{3}$O$_{8}$ powders from scattering in the UO$_{2}$ voloxidizer and the proposed density rate equation is proper to calculate the terminal velocity of U$_{3}$O$_{8}$ powders.

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A Study on Prediction of Overriding Behavior Leading Vehicle in Train Collision (철도차량 충돌시 선두차량의 타고오름량 예측 연구)

  • Kim, Jun Woo;Koo, Jeong Seo;Kim, Geo Young;Park, Jeong Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.8
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    • pp.711-719
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    • 2016
  • In this study, we derived an theoretical equation, using a simplified spring-mass model for the rolling stock, to obtain the overriding behavior of a leading vehicle, which is considered as the main factor in train accidents. To verify the derived equation, we created a simple 2D model based on the theoretical model, and a simple 3D model considering the characteristics of the power bogie. We then compared the theoretical results with the simulation results obtained using LS-DYNA. The maximum relative derivations in the vertical displacements at the first end-buffer, which is the most important point in overriding, were 3.5 [%] and 1.7 [%] between the two results. Further, we evaluated collision-induced overriding displacements using the theoretical equation for a rubber draft gear, a hydraulic buffer under various collision conditions. We have suggested a theoretical approach for the realization of overriding collision accidents or the energy absorption design of the front end of trains.

A study on vertical inlet of inflow characteristics of the Shinwol rainwater storage & drainage system by design condition (신월빗물저류배수시설의 수직유입구 설계조건에 따른 유입특성 분석 연구)

  • Park, Su Ho;Oh, Jun Oh;Park, Jae Hyeon;Park, Chang Keun
    • Journal of Korea Water Resources Association
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    • v.50 no.2
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    • pp.129-138
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    • 2017
  • In this study, the hydraulic model test was performed for the 3 vertical inlets of the Shinwol rainwater storage & drainage system that Seoul City plans to install, and the control discharge value actually measured was analyzed comparing to the value obtained using the theoretical control discharge equation suggested by Yu and Lee (2009). In the results, it was 66~69% compared to the value obtained from theoretical equation showing that the control discharge value according to the theoretical equation is calculated excessively. The sensitivity analysis by design factor was performed using 3 models conducted in this study and 15 hydraulic experiment models conducted in existing research Yu and Lee (2009). The sensitivity analysis of control discharge equation was performed by dividing $Q_{cm}/Q_{cp}$ into 3 ranges. The suggested equation considered only the influence on the tangential intake structure design factor B, z, ${\beta}$, e/B, so ${\theta}$, L considered complex influence suggested equation needed to be more improved.

Transport of Settling Stones (투하석재의 이동)

  • 유동훈;선우중호
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.2
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    • pp.107-115
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    • 1999
  • In order to develop a convenient method for the estimation of transport distance of settling stones in quiescent water or flowing water, introduced was the simple but relatively accurate equation of drag coefficient. The equation of drag coefficient introduced was confirmed to give relatively accurate evaluation for the drag force of smooth-surface sphere, and the effects of surface roughness and shape can be considered by adjusting empirical parameters. A theoretical equation has been developed for the settling velocity or settling distance of smooth-surface sphere in quiescent fluid, and the computation results have been obtained by adjusting the empirical parameter for the settling distance of stone in quiescent water. The 2nd order ordinary differential equation has been developed for the case of settling stones in flowing fluid, and a numerical model has been developed by using Runge-Kutta method for its solution. A number of cases have been tested by adjusting the empirical parameter.

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A Theoretical Study on the Compressibility Factor of Hydrogen Gas in the High Pressure Tank (고압탱크에서 수소가스의 압축성 인자에 관한 이론적 연구)

  • JI-QIANG LI;HENG XU;JI-CHAO LI;JEONG-TAE KWON
    • Transactions of the Korean hydrogen and new energy society
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    • v.34 no.2
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    • pp.162-168
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    • 2023
  • The fast refueling process of compressed hydrogen has an important impact on the filling efficiency and safety. With the development and use of hydrogen energy, the demand for precision measurement of filling hydrogen thermodynamic parameters is also increasing. In this paper, the compressibility factor calculation model of high-pressure hydrogen gas was studied, and the basic equation of state and thermo-physical parameters were calculated. The hydrogen density data provided by the National Institute of Standards and Technology was compared with the calculation results of each model. Results show that at a pressure of 0.1-100 MPa and a temperature of 233-363 K, the calculation accuracy of the Zheng-Li equation of state was less than 0.5%. In the range of 0.1-70 MPa, the accuracy of Redich-Kwong equation is less than 3%. The hydrogen pressure more influences on the compressibility factor than the hydrogen temperature does. Using the Zheng-Li equation of state to calculate the compressibility factor of on-board high pressure hydrogen can obtain high accuracy.

Comparison of the Lateral Earth Pressure on the Retaining Wall with the Relieving Platform by Model test and Numerical Analysis (선반식 옹벽의 수평토압에 관한 모형시험과 수치해석 비교)

  • Yoo, Wan-Kyu;Kim, Byoung-Il;Moon, In-Jong;Park, Yong-Seok
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.5
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    • pp.2382-2389
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    • 2012
  • The retaining wall with the relieving platform can be constructed as an alternative to the concrete retaining wall in which the economic and stability are decreased as height increases. The relieving platform has the advantage of decreasing the total lateral earth pressure on the retaining wall and increasing the overall stability of the structure. In this study, model tests were performed to determine the distribution of the earth pressure on the retaining wall with and without the relieving platform which located at a depth of 0.4H from the ground surface. And model tests results were compared with analyzed results by 2-D finite element method and values driven from theoretical equation. As the result of this study, comparing model test results with those of numerical analysis and theoretical equation show that the reduction of the lateral earth pressure on wall was indicated clearly on the retaining wall with a relieving platform.

The Effect of Insertion Loss on the Element of Exhaust Muffler (배기 소음기 구조가 삽입손실에 미치는 영향)

  • 강동림;김영호;전현부기;김의간
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.5
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    • pp.42-51
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    • 2000
  • The performances of the simple expansion, perforated tube, and conical-connector type as an exhaust muffler are shown in this study. Applying a model in which the method of four-pole parameter is used makes theoretical estimation of the insertion loss. Experiment is performed for the measurement of the insertion loss under four cases according to the variation of the tail pipe length. By comparing the theoretical prediction with the experimental results, the validity of the modeling using the method of four-pole parameter is verified. The personal computer simulation programs for the above mentioned theory on the muffler design have been developed and exhaust sound level measurements have been carried out for simple expansion muffler, conical-connector muffler, perforated tube mufflers and the combined type of conical-connector and simple expansion muffler. The measured results for attenuation characteristics of noise for each muffler are compared with the computed theoretical results to verity the confidence and applicable limits of the theoretical equation derived.

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Linking bilinear traction law parameters to cohesive zone length for laminated composites and bonded joints

  • Li, Gang;Li, Chun
    • Advances in aircraft and spacecraft science
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    • v.1 no.2
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    • pp.177-196
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    • 2014
  • A theoretical exploration for determining the characteristic length of the cohesive zone for a double cantilever beam (DCB) specimen under mode I loading was conducted. Two traction-separation laws were studied: (i) a law with only a linear elastic stage from zero to full traction strength; and (ii) a bilinear traction law illustrating a progressive softening stage. Two analytical solutions were derived for the first law, which fit well into two existing solution groups. A transcendental equation was derived for the bilinear traction law, and a graphical method was presented to identify the resultant cohesive zone length. The study using the bilinear traction law enabled the theoretical investigation of the individual effects of cohesive law parameters (i.e., strength, stiffness, and fracture energy) on the cohesive zone length. Correlations between the theoretical and finite element (FE) results were assessed. Effects of traction law parameters on the cohesive zone length were discussed.

Derivation of Infiltration Equation in Multilayered Soil by Two Phase Flow Theory (2개류체(個流體) 흐름이론(理論)에 의한 여러층 흙에서의 침투능공식유도(浸透能公式誘導))

  • Sonu, Jung Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.3 no.3
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    • pp.53-61
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    • 1983
  • The Green-Ampt equation for infiltration has been intensively investigated by many researchers because of its simplicity and adequacy for fitting experimental data to theoretical one. The infiltration equation derived from the theory of two phase flow coincides with the Green-Ampt equation except the viscouse resistance correction factor. This approach clearly defines variables in the Green-Ampt equation and also encounters the effect of viscosity of two fluids. A new equation for infiltration into multilayered soil is derived from the theory of two phase flow and compared with conventional equation. The new equation shows lower infiltration rate than that of conventional one and it is believed that this caused from the inclusion of viscosity in the derivation.

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