• 제목/요약/키워드: Darcy's flow

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성토층에 매설된 사력질층의 침투특성에 대한 실험적 연구 (An Experimental Study on Seepage Characteristics of Embedded Gravel and Rock Layer in the Embankment)

  • 이행우;장병욱;장웅희;원정윤
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.545-552
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    • 2005
  • For the purpose of studying on the seepage characteristics of embedded gravel layer in embankment, laboratory model tests were carried out. The embedded layer under embankment was $19{\sim}26mm$ diameter of gravel and those embankment materials were Saemangum dredged sand, river sand and mixed(1:1) sand with dredged and river one. Those permeability coefficients of three different sands are $5.00{\times}10^{-5}$, $3.00{\times}10^{-4}$, $7.50{\times}10^{-5}m/s$, respectively. Seepage characteristics of these results are as follows; 1) The Reynolds number of water flow through embedded gravel layer in three different permeable soils is less then 10, it is laminar flow. 2) These flow velocities through embedded gravel layer in soils are in proportion to these hydraulic gradients, it is Darcy flow. 3) These Darcian permeability coefficients of water flow through embedded gravel layer in soils show as $2.95{\times}10^{-3}$, $1.38{\times}10^{-2}$, $3.33{\times}10^{-3}$m/s, respectively, by varying permeability of embankment soils and embankment lengths. It is approximately 100 times of those permeability coefficients of embankment materials.

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자연 구릉지에서 지표하 흐름의 수치해석 (Numerical Analysis of Subsurface Flow in a Hillslope)

  • 최은호;남선우
    • 물과 미래
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    • 제24권1호
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    • pp.109-117
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    • 1991
  • 포화-비포화 영역에서 transient흐름 해석을 위해 유체의 연속방정식과 Darcy 법칙으로부터 다공질 매체에서의 흐름 지배방정식을 유도하였다. 수치해는 가중잔차원리에 입각한 Galerkin 유한요소법으로 구하며, 시간도함수항에는 유한차분법을 적용하였다. 해석에서는 실제 자연상태에서 발생되는 부정호우자료를 이용하고 이때의 지표하 흐름 해석에 필요한 강우 주상도는 제 손실성분을 고려한 초과우량 추정모형으로부터 얻었다. 비포화 토양에서의 흐름을 고려하기 위해 투수계수, 압력수두 및 체적함수비의 상호 함수관계를 이용하였다. 모형은 대칭인 2차원으로서 비등방성, 이질 토층으로 구성하였다.

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유도가열을 고려한 반용융 재료의 성형공정에 관한 유한요소 해석 (Finite Element Analysis for Forming Process of Semi-Solid Material Considering Induction Heating)

  • Park, W.D.;Ko, D.C.;Kim, B.M.;Park, J.C.
    • 한국정밀공학회지
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    • 제14권8호
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    • pp.82-91
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    • 1997
  • The major objective of this study is to establish analytical technique in order to analyze the behaviour of semi-solid material considering induction heating of the billet. Induction heating process is analyzed by using commerical finite element software. ANSYS. The finite element program, SFAC2D, for the simulation of deformation in semi-solid state is developed in the present study. The semi-solid behaviour is described by a viscoplastic model for the solid phase, and by the Darcy's law for the liquid flow. Simple compression and closed-die compression process considering induction heating are analyzed, and also it is found that the distribution of initial solid fraction of the billet has an important effect on deformation behaviour of semi-solid material. In order to verify the effectiveness of proposed analytical technique the simulation result is compared with experimental result.

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순수유체와 다공성물질의 경계면에서 압력구배의 수치적 처리에 관하여 (On Numerical Treatment of Pressure Gradient at the Interface Between a Homogeneous Fluid and a Porous Medium)

  • 김인선;남진현;김찬중
    • 한국전산유체공학회지
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    • 제4권3호
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    • pp.28-34
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    • 1999
  • The objective of this study is to present a numerical treatment of the pressure gradient when control volumes are sharing the interface between a homogeneous fluid and a porous medium. Two possible approaches, e.g. linear interpolation and extrapolation, are considered, and they are applied to the case of a steady and two-dimensional curved channel flow which is partially filled with a porous medium. It was found that the linear extrapolation produces a continuous velocity-field at the interface and thus is recommended. On the contrary, the linear interpolation entails a discontinuous velocity field at the interface, thereby warning its use in connection with the Brinkman-Forchheimer-extended Darcy flow model.

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역삼투압용 막지지천의 압력강하 특성 (Characteristics of Pressure Drop in the Membrane Support Sheet for Reverse Osmosis)

  • 장호남;김동필;김연철
    • 멤브레인
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    • 제3권1호
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    • pp.22-28
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    • 1993
  • Polyester, polyacrylics, nylon과 cotton을 이용해 이들의 막지지천으로의 사용가능성을 조사하였다. 압축률, membrane embossing, 유량과 물리적$\cdot$화학적 특성 등을 고려한 결과 50 번수의 polyester가 막지지천으로 적당함을 알았다. 이 polyester를 막지지천으로 사용해 압력 강하, 조업압력, 점도 등이 막지지천을 통한 유체 흐름에 미치는 영향을 조사하였는데, 이 막지지천을 통한 유체 흐름은 Darcy's law를 만족시켰다.

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콜부르크-화이트 방정식의 수치해와 이의 적용 (Numerical Solution of Colebrook-White Equation and It's Application)

  • 김민환;송창수
    • 상하수도학회지
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    • 제19권5호
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    • pp.613-618
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    • 2005
  • In analysis of pipelines or pipe network we calculated the friction loss using Hazen-Williams or Manning formula approximately, or found one by friction coefficient from Moody diagram graphically. The friction coefficient is determined as a function of relative roughness and Reynolds number. But the calculated friction coefficient by Hazen-Williams or Manning formula considered roughness of pipe or velocity of flow. The friction coefficient in Darcy-Weisbach equation was obtained from the Moody diagram. This method is manual and is not exact from reading. This paper is presented numerical solution of Colebrook-White formula including variables of relative roughness and Reynolds number. The suggested subroutine program by an efficient linear iteration scheme can be applied to any pipe network system.

대규모 균일공극 매질에서 비Darcy 흐름에 대한 입자 크기의 영향 (Effects of Particle Sizes on Non-Darcy Flow in Homogeneous Macro-porous Media)

  • 박상덕;나락스메이;케속안
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2019년도 학술발표회
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    • pp.238-238
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    • 2019
  • 산지계곡에는 큰 자갈이나 호박돌이 무더기로 퇴적되어 있어서 대규모 공극을 구성한다. 호우시 이 돌무더기 내부에 빠른 흐름이 형성되고 이에 따른 퇴적사면의 급격한 변동이 발생하기도 한다. 본 연구에서는 대공극 매질의 흐름은 산지계곡에 퇴적된 균일 직경을 가진 구형 입자로 구성된 대규모 공극 매질을 구성하고, 비 Darcy 흐름의 유속에 미치는 입경의 영향을 수리실험으로 조사하였다. 실험에 사용된 구형 입자는 크기가 15.5mm, 25mm, 36.5mm인 유리구슬이고, 조성된 매질의 공극율은 Table 1과 같으며, 실험에서 침투거리는 40cm로 하였다. 실험유량은 0.98~15.41 t/s이고 입자 Reynolds 수는 120~4,580의 범위였다. 동수경사가 증가하면 매질의 단면평균 유속이 비선형적으로 증가하였다. 입경이 작을수록 유속과 동수경사 사이의 비선형적 경향이 더 크다(Fig.1). 동일한 동수경사에서 매질의 입경이 클수록 유속이 빠르게 나타났다.

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Use of rotating disk for Darcy-Forchheimer flow of nanofluid; Similarity transformation through porous media

  • Hussain, Muzamal;Sharif, Humaira;Khadimallah, Mohamed Amine;Ayed, Hamdi;Banoqitah, Essam Mohammed;Loukil, Hassen;Ali, Imam;Mahmoud, S.R.;Tounsi, Abdelouahed
    • Computers and Concrete
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    • 제30권1호
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    • pp.1-8
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    • 2022
  • The basic purpose of the current study is to compute the numerical analysis of heat source/sink for Darcy-Forchheimer three dimensional nanofluid flow with gyrotactic microorganism by rotatable disk via porous media under the slip conditions. Due to nanoparticles, random and thermophoretic motion phenomenon occurs. The governing mathematical model is handled numerically by shooting method. Additionally, the characteristics of velocities, mass, heat, motile microorganisms and associated parameters are thoroughly analyzed via plots and tables. Different physical parameters like Forchheimer number, slip parameters like velocity, porosity parameter, Prandtl number, Brownian number, thermophoresis parameter, heat sink/source parameter, bioconvected Rayleigh number, buoyancy parameteron dimensionless velocities, temperature. Approximate values of Sherwood microorganism are analyzed.

제강슬래그의 투수성 연구 (A Study for Permiability of Steel Slag)

  • 허준희;이광찬;오재화;이문수
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 1998년도 학술발표회 발표논문집
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    • pp.414-418
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    • 1998
  • This study was carried out to analyze permeability of steel slag. Three molds with the same grading of raw steel slag were used to measure the coefficient of permeability. Darcy's law could be applied to the steel slag below 0.5 of critical hydraulic gradient because the water flow changed from laminar flow to turbulent flow above the critical hydraulic gradient. Also, the velocity of flow changed according to hydraulic gradient. The coefficient of permeability of the specimen was $\alpha$$\times$10$^{-3}$ cm/ sec.

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Parametric study of porous media as substitutes for flow-diverter stent

  • Ohta, Makoto;Anzai, Hitomi;Miura, Yukihisa;Nakayama, Toshio
    • Biomaterials and Biomechanics in Bioengineering
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    • 제2권2호
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    • pp.111-125
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    • 2015
  • For engineers, generating a mesh in porous media (PMs) sometimes represents a smaller computational load than generating realistic stent geometries with computer fluid dynamics (CFD). For this reason, PMs have recently become attractive to mimic flow-diverter stents (FDs), which are used to treat intracranial aneurysms. PMs function by introducing a hydraulic resistance using Darcy's law; therefore, the pressure drop may be computed by test sections parallel and perpendicular to the main flow direction. However, in previous studies, the pressure drop parallel to the flow may have depended on the width of the gap between the stent and the wall of the test section. Furthermore, the influence of parameters such as the test section geometry and the distance over which the pressure drops was not clear. Given these problems, computing the pressure drop parallel to the flow becomes extremely difficult. The aim of the present study is to resolve this lack of information for stent modeling using PM and to compute the pressure drop using several methods to estimate the influence of the relevant parameters. To determine the pressure drop as a function of distance, an FD was placed parallel and perpendicular to the flow in test sections with rectangular geometries. The inclined angle method was employed to extrapolate the flow patterns in the parallel direction. A similar approach was applied with a cylindrical geometry to estimate loss due to pipe friction. Additionally, the pressure drops were computed by using CFD. To determine if the balance of pressure drops (parallel vs perpendicular) affects flow patterns, we calculated the flow patterns for an ideal aneurysm using PMs with various ratios of parallel pressure drop to perpendicular pressure drop. The results show that pressure drop in the parallel direction depends on test section. The PM thickness and the ratio of parallel permeability to perpendicular permeability affect the flow pattern in an ideal aneurysm. Based on the permeability ratio and the flow patterns, the pressure drop in the parallel direction can be determined.