• 제목/요약/키워드: Differential diffusion

검색결과 285건 처리시간 0.026초

응집의 이론 (I) - 수리동역학과 입자간 작용력을 고려한 응집의 모델 - (Theory of Coagulation(I) Coagulation Theory Including Hydrodynamics and Interparticle Forces)

  • 한무영
    • 상하수도학회지
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    • 제9권3호
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    • pp.65-77
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    • 1995
  • The kinetics of flocculation of heterodisperse suspension like those in water treatment plants and natural water system are usually described by the Smoluchowski equation, which incorporates collision frequency functions for particle collisions by Brownian motion, fluid shear, and differential sedimentation. These collisionfrequeney functions have been based on a rectilinear view of collisions, i.e., one that ignores short-range forces and changes in fluid motion as particles approach one another. In this research, a curvilinear approach, i.e., one that accounts for hydrodynamic forces and particle interaction in the collision of two different size particles is developed. Collision efficiency factors of each mechanism can be calculated by trajectory analysis (fluid shear and differential sedimentation) or the solution of diffusion equation (Brownian motion). The results are presented as a set of corrections to the rectilinear collision frequency functions for each mechanism.

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Study on Electrochemical Properties of TBT(Tributyltin)

  • Park, Chil-Nam;Yang, Hyo-Kyung
    • Environmental Sciences Bulletin of The Korean Environmental Sciences Society
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    • 제10권S_4호
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    • pp.173-179
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    • 2001
  • The chemical behavior and properties of the redox state of environmental pollutants was investigated using electrochemical methods. The purpose was to measure the variations in the redox reaction of differential pulse polarograms and cyclic voltammograms. The results observed the influences on redox potential and current of various factors including concentration, temperature, salt, and pH. These were established factors as the effect of the redox reaction. It can be clearly recognized that the electrode reaction are from reversible to irreversible processes. Also, it was mixing with reaction current controlled.

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생물 안전 실험실의 자동제어 시스템 적용 사례 분석 (A Case Study on Biosafety Laboratory HVAC Control System)

  • 주영덕;김진;함호석
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2008년도 하계학술발표대회 논문집
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    • pp.84-89
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    • 2008
  • The biosafety laboratory HVAC control technology may be applied in order to protect contamination of the researcher, supervisor and to prevent diffusion of biological pollution. In this study, a biosafety level, general configuration of control system, differential pressure control, distributed control system and network structure were discussed. These systems able to increase laboratory safety and efficiency of HVAC system.

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자체건조를 고려한 초기재령 콘크리트의 부등건조수축 (Differential Drying Shrinkage of concrete an Early Ages Considering Self-desiccation)

  • 김진근;이칠성
    • 콘크리트학회지
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    • 제10권5호
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    • pp.197-204
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    • 1998
  • 초기재령에서 외기에 노출된 콘크리트는 수분확산으로 인하여 부등건조수축이 발생하고, 또한 자체건조로 인하여 자기수축도 발생한다. 따라서 콘크리트 재부의 수축변형도는 이러한 자기수축을 포함하고 있으므로 이를 고려해야 한다. 본 연구에서는 초기재령에서 콘크리트 강도에 따라 자기수축의 영향을 고려하여 부둥건조수축에 대한 실험과 해석을 수행하였다. 또한 콘크리트 내부의 부등수분분포로 인한 수축변형도에 대하여 실험결과와 해석결과를 비교하여, 해석방법의 타당성을 검증하였다. 실험 및 분석결과에 의하면 저강도콘크리트는 수분확산으로 인하여 주로 수축현상이 일어나고 자기수축의 영향은 거의없었다. 그렇지만 고강도 콘크리트는 자기수축에 의해서도 영향을 받았다. 그리고 콘크리트의 부등건조수축은 강도에 따라 큰 차이를 나타냈다. 또한 제시한 해석방법에 의한 해석결과는 실험결과를 잘 예측하였다.

Chemical Properties of Co(II) Compound Containing Endocrine Disrupter, Bis-Phenol A

  • Park, Chil-Nam
    • 한국환경과학회지
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    • 제11권2호
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    • pp.131-137
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    • 2002
  • The chemical behavior and properties on the redox state of environmental pollutant has been investigated by electrochemical methods. We carried out to measure the variations in the redox reaction of differential pulse polarogram and cyclic voltammogram. The results observed the influences on redox potential and current of various factors with temperature and pH. These were established factors as the effect of the redox reaction. It can be clearly recognized that the electrode reaction are from qusi-reversible to irreversible processes. Also, it was mixing with reaction current controlled. The bits-phenol A in the waste water was made to compound with cobalt ion and it take away from the separation into compound. The $Co(BPA)_2$ compound was not found to be dissociation in waste water. However, this compound is avery unstable(K=1.02) and for a while, it was to be a dissociation. Therefore, we believed that it was likely to a toxic substance.

On a new fourth order self-adaptive time integration algorithm

  • Zhong, Wanxie;Zhu, Jianping
    • Structural Engineering and Mechanics
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    • 제4권6호
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    • pp.589-600
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    • 1996
  • An explicit 4th order time integration scheme for solving the convection-diffusion equation is discussed in this paper. A system of ordinary differential equations are derived first by discretizing the spatial derivatives of the relevant PDE using the finite difference method. The integration of the ODEs is then carried out using a 4th order scheme and a self-adaptive technique based on the spatial grid spacing. For a non-uniform spatial grid, different time step sizes are used for the integration of the ODEs defined at different spatial points, which improves the computational efficiency significantly. A numerical example is also discussed in the paper to demonstrate the implementation and effectiveness of the method.

나노 스케일 확산 공정 모사를 위한 동력학적 몬테칼로 소개 (An Introduction to Kinetic Monte Carlo Methods for Nano-scale Diffusion Process Modeling)

  • 황치옥;서지현;권오섭;김기동;원태영
    • 대한전자공학회논문지SD
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    • 제41권6호
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    • pp.25-31
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    • 2004
  • 본 논문에서는 나노 스케일 확산 공정 모사를 위한 방법으로 동력학적 몬테칼로(kinetic Monte Carlo)를 소개하고자 한다. 먼저 동력학적 몬테칼로의 이론과 배경을 살펴보고 실제적인 이해를 돕기 위하여 실리콘 기판에 이온(전자) 주입 후 열처리과정에서 일어나는 점결함의 확산을 동력학적 몬테칼로를 이용하여 모사하는 간단한 예를 보여주고 있다. 동력학적 몬테칼로는 몬테칼로의 일종이지만 기존의 몬테칼로에서 구현하지 못하였던 물리적인 시간을 포아송 확률 과정을 통하여 구현하였다. 동력학적 몬테칼로 확산 공정 모사에서는 연속 확산 미분 방정식의 해를 구하는 기존의 유한 요소 수치 해석적 방법과 달리원자 상호간 혹은 원자와 결함 또는 결함들 간의 화학적 반응과 입자들의 확산 과정을 포아송 확률 과정에 따라 일어나는 화학적 반응, 입자들의 확산 사건의 연속으로 본다. 사건마다 고유의 사건 발생 확률을 갖고 이 사건 발생 확률에 따라 일어나는 확률적 사건의 연속적 발생으로 실제의 반도체 확산 공정을 시간에 따라 직접적으로 모사할 수 있다. 입자들 간의 화학적 반응 사건 확률과 입자들의 확산 공정에 필요한 확률적 인자들은 분자 동역학, 양자 역학적 계산, 흑은 실험으로 얻어진다.

Numerical Studies of Transient Opposed-Flow Flames using Adaptive Time Integration

  • Im, Hong-Geun
    • Journal of Mechanical Science and Technology
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    • 제14권1호
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    • pp.103-112
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    • 2000
  • Numerical simulations of unsteady opposed-flow flames are performed using an adaptive time integration method designed for differential-algebraic systems. The compressibility effect is considered in deriving the system of equations, such that the numerical difficulties associated with a high-index system are alleviated. The numerical method is implemented for systems with detailed chemical mechanisms and transport properties by utilizing the Chemkin software. Two test simulations are performeds hydrogen/air diffusion flames with an oscillatory strain rate and transient ignition of methane against heated air. Both results show that the rapid transient behavior is successfully captured by the numerical method.

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LARGE DEVIATION PRINCIPLE FOR SOLUTIONS TO SDE DRIVEN BY MARTINGALE MEASURE

  • Cho, Nhan-Sook
    • 대한수학회논문집
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    • 제21권3호
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    • pp.543-558
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    • 2006
  • We consider a type of large deviation Principle(LDP) using Freidlin-Wentzell exponential estimates for the solutions to perturbed stochastic differential equations(SDEs) driven by Martingale measure(Gaussian noise). We are using exponential tail estimates and exit probability of a diffusion process. Referring to Freidlin-Wentzell inequality, we want to show another approach to get LDP for the solutions to SDEs.

MULTI-TYPE FINANCIAL ASSET MODELS FOR PORTFOLIO CONSTRUCTION

  • Oh, Jae-Pill
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제14권4호
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    • pp.211-224
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    • 2010
  • We define some asset models which are useful for portfolio construction in various terms of time. Our asset models are geometric jump-diffusions defined by the solutions of stochastic differential equations which are decomposed by various terms of time basically. We also can study pricing and hedging strategy of options in our models roughly.