• 제목/요약/키워드: transport and diffusion

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Lagrangian 개념에 의한 부유토사 확산범위 비교분석 (Comparative Analysis of the Sediment Transport Region based on the Lagrangian Concept)

  • 조홍연;김창일;이길하
    • 한국해안해양공학회지
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    • 제19권2호
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    • pp.105-112
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    • 2007
  • Lagrangian 개념에 근거하여 입도분포를 고려한 토사 확산범위 예측모형을 구성하여 입도분포를 고려한 경우와 고려하지 않은 경우의 확산범위 변화를 분실하였다. 토사의 입도분포를 Lagransian 관점에서 고려하기 위하여 입도분포곡선을 대수정규분포 함수로 가정하고, 토사입자에 해당하는 난수를 생성하였다. 토사입자는 구형으로 가정하였으며, 입도분포곡선에서 난수의 중량을 기준으로 발생된 난수를 토사입경에 해당하는 인자로 환산하였다. 부유토사 이동양상은 입자의 침강양상 모의를 통하여 검토하였으며, 침강속도는 van Rijn 공식을 이용하였고 침강에 영향을 미치는 인자로는 수평 확산계수만을 상수로 가정하여 포함하였다. 입도분포를 고려한 경우의 확산범위는 표사입도에 의한 영향을 고려하지 않은 경우의 확산범위와 유사하게 산정되었다. 그러나, 확산범위를 공급된 총입자중량의 90%, 99% 토사중량이 차지하는 영역을 기준으로 정의하는 경우, 90% 기준조건에서는 입도분포를 고려하지 않은 경우의 확산범위가 크게 산정되었으나, 99% 기준조건에서는 입도분포를 고려한 경우의 확산범위가 크게 산정되었다. 또한, 토사의 침강양상도 입도분포를 고려한 경우가 보다 현실적인 모습을 반영하고 있는 것으로 판단된다.

Dynamics and Transport of Molecules Studied by Transient Grating Method : Methyl Red in Solution

  • 김선희;김성규
    • Bulletin of the Korean Chemical Society
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    • 제17권4호
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    • pp.365-373
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    • 1996
  • Time profile of the transient grating signal induced by a nanosecond pulsed laser excitation of methyl red is investigated in alcohols and toluene at several solvent temperatures. The signal decays biexponentially with well-separated time constants; the faster decay is identified as due to thermal diffusion of the solvents and the slower one as mainly due to translational diffusion of the solute. The measured translational diffusion constants of methyl red in toluene are close to a hydrodynamic prediction with a slip boundary condition while those in alcohols are larger by 30% and increase slightly with the size of alcohols. We compare the results with modified hydrodynamic models.

Effect of measurement method and cracking on chloride transport in concrete

  • Zhang, Shiping;Dong, Xiang;Jiang, Jinyang
    • Computers and Concrete
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    • 제11권4호
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    • pp.305-316
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    • 2013
  • This paper aims to study the effect of measurement methods and cracking on chloride transport of concrete materials. Three kinds of measurement methods were carried out, including immersion test, rapid migration test and steady-state migration test. All of these measurements of chloride transport show that chloride ion diffusion coefficient decreased with the reduction of water to cement ratio. Results of the immersion test were less than that of rapid migration test and steady-state migration test. For the specimen of lower water to cement ratio, the external electrical field has little effect on chloride binding relatively. Compared with the results obtained by these different measurement methods, the lower water to cement ratio may cause smaller differences among these different methods. The external voltage can reduce chloride binding of concrete, and the higher electrical field made a strong impact on the chloride binding. Considering the effect of high voltage on the specimen, results indicate that results based on the steady-state migration test should be more reasonable. For cracked concrete, cracking can accelerate the chloride ion diffusion.

하천 오염물질의 모의를 위한 프랙탈 이송확산방정식의 해석적 유도 (The Analytical Derivation of the Fractal Advection-Diffusion Equation for Modeling Solute Transport in Rivers)

  • 김상단;송미영
    • 한국수자원학회논문집
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    • 제37권11호
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    • pp.889-896
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    • 2004
  • 프랙탈 이송확산방정식은 정수 차수의 미분연산자로 구성된 고전적인 이송확산방정식과 비교하여 프랙탈 차수의 미분연산자로 구성된 보다 상위개념의 방정식으로써 정의된다. 지금까지의 프랙탈 이송확산방정식은 추계학적인 기법을 동원하여 푸리에-라플라스 공간에서 주로 해석되었으나, 본 연구에서는 실제 공간에서 유한차분개념을 도입하여 보다 직접적으로 하천에서의 오염물 이송확산에 관한 지배방정식을 유도하였다. 이러한 개념의 유도방법은 프랙탈 차수 및 관련 확산계수의 물리적인 추정에 관한 실마리를 제공할 수 있다. 고전적인 이송확산방정식과는 달리 프랙탈 이송확산방정식은 실제 하천에서 관측되는 오염물의 시간-농도 분포곡선의 왜곡현상과 분포곡선의 전후방부 농도를 보다 실제에 가깝게 모의할 수 있을 것으로 기대되어진다.

전방추적법에 의한 오염물질의 전송 모델 (A Pollutant Transport Model by the Forward-Tracking Method)

    • 한국해안해양공학회지
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    • 제10권1호
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    • pp.37-44
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    • 1998
  • 본 연구에서 제안하는 혼합 방법(hybrid method)은 흐름이 우세한 영역에서의 전송 문제를 정확하고 효과적으로 해결하기 위하여 개발된 것으로 오일러-라그란쥐적 방법과는 달리 전방추적에 의하여 이송 과정이 수행되므로 보간 기법이 불필요하고 무작위 행보에 의한 라그란쥐적 방법과 달리 유한 차분법에 의하여 확산 과정이 수행되므로 많은 입자가 요구되지도 않는다. 한 점에 순간적으로 부하되는 오염원과 연속적으로 부하되는 오염원에 대한 이론적인 해와 비교하여 확산 계수와 무관하게 상당히 만족할 만한 결과를 얻었다. 현 방법은 또한 2차원 상에서 주변 5격자로부터 보간하는 오일러-라그란쥐적 방법과 무작위 행보로 입자 추적하는 순수 라그란쥐적 방법과 비교하여 정확성은 물론 계산 시간에 있어서도 상당히 월등한 방법임이 입증되었다.

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방전현상 해석을 위한 전자장 및 전하이동 방정식의 비선형 결합 알고리즘 (Electric Discharge Analysis Using Nonlinarly-Coupled Equation of Electromagnetic Field and Charge Transport)

  • 이세연;박일한;이세희
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 C
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    • pp.1494-1495
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    • 2006
  • A complete finite element analysis method for discharge onset process, which is governed and coupled by charge transport equation and electric field equation, was presented. The charge transport equation of first order was transformed into a second-order one by utilizing the artificial diffusion scheme. The two second-order equations were analyzed by the finite element formulation which is well-developed for second-order ones. The Fowler-Nordheim injection boundary condition was adopted for charge transport equation. After verifying the numerical results by comparing to the analytic solutions using parallel plane electrodes with one carrier system, we extended the result to blade-plane electrodes in 2D xy geometry with three carriers system. Radius of the sharp tip was taken to be 50 ${\mu}m$. When this sharp geometry was solved by utilizing the space discretizing methods, the very sharp tip was found to cause a singularity in electric field and space charge distribution around the tip. To avoid these numerical difficulties in the FEM, finer meshes, a higher order shape function, and artificial diffusion scheme were employed.

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Effect of Nonuniform Vertical Grid on the Accuracy of Two-Dimensional Transport Model

  • Lee, Chung-Hui;Cheong, Hyeong-Bin;Kim, Hyun-Ju;Kang, Hyun-Gyu
    • 한국지구과학회지
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    • 제39권4호
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    • pp.317-326
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    • 2018
  • Effect of the nonuniform grid on the two-dimensional transport equation was investigated in terms of theoretical analysis and finite difference method (FDM). The nonuniform grid having a typical structure of the numerical weather forecast model was incorporated in the vertical direction, while the uniform grid was used in the zonal direction. The staggered and non-staggered grid were placed in the vertical and zonal direction, respectively. Time stepping was performed with the third-order Runge Kutta scheme. An error analysis of the spatial discretization on the nonuniform grid was carried out, which indicated that the combined effect of the nonuniform grid and advection velocity produced either numerical diffusion or numerical adverse-diffusion. An analytic function is used for the quantitative evaluation of the errors associated with the discretized transport equation. Numerical experiments with the non-uniformity of vertical grid were found to support the analysis.

부력을 받는 확산화염에 대한 수치 시뮬레이션 (Numerical Simulation of Buoyant Diffusion Flame)

  • 오창보;이의주
    • 한국화재소방학회:학술대회논문집
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    • 한국화재소방학회 2008년도 춘계학술논문발표회 논문집
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    • pp.234-237
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    • 2008
  • A direct numerical simulation (DNS) code suitable for the prediction of buoyant jet diffusion flames was developed in this study. The thermodynamic and transport properties were evaluated using CHEMKIN package to enhance the prediction performance of the developed DNS code. A two dimensional simulations were performed for the jet diffusion flames in normal and zero-gravity conditions where the Froude numbers are 5 and infinity, respectively. The simulated buoyant jet diffusion flame in normal gravity showed that the unsteady and dynamic motion although the reynolds number is low (400). It was identified that the flame in normal gravity flickered periodically. The periodic motion of the flame disappeared in zero-gravity condition. The dynamic motion of the buoyant jet diffusion flame could be well understood by comparing the flame structures obtained by the simulations of normal and zero-gravity conditions.

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수동급기 직접 메탄올 연료전지의 동적 모델 (Dynamic Model of a Passive Air-Breathing Direct Methanol Fuel Cell)

  • 하승범;장익황;차석원
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2008년도 춘계학술대회 논문집
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    • pp.33-36
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    • 2008
  • The transient behavior of a passive air breathing direct methanol fuel cell (DMFC) operated on vapor-feeding mode is studied in this paper. It generally takes 30 minutes after starting for the cell response to come to its steady-state and the response is sometimes unstable. A mathematical dynamic one-dimensional model for simulating transient response of the DMFC is presented. In this model a DMFC is decomposed into its subsystems using lumped model and divided into five layers, namely the anodic diffusion layer, the anodic catalyst layer, the proton exchange membrane (PEM), the cathodic catalyst layer and the cathodic diffusion layer. All layers are considered to have finite thickness, and within every one of them a set of differential-algebraic governing equations are given to represent multi-components mass balance, such as methanol, water, oxygen and carbon dioxide, charge balance, the electrochemical reaction and mass transport phenomena. A one-dimensional, isothermal and mass transport model is developed that captures the coupling between water generation and transport, oxygen consumption and natural convection. The single cell is supplied by pure methanol vapor from a methanol reservoir at the anode, and the oxygen is supplied via natural air-breathing at the cathode. The water is not supplied from external source because the cell uses the water created at the cathode using water back diffusion through nafion membrane. As a result of simulation strong effects of water transport were found out. The model analysis provides several conclusions. The performance drop after peak point is caused by insufficiency of water at the anode. The excess water at the cathode makes performance recovery impossible. The undesired crossover of the reactant methanol through the PEM causes overpotential at the cathode and limits the feeding methanol concentration.

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