• Title/Summary/Keyword: a diffusion model

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A Study on Development and Application of a Particle Tracking Model for Predicting Water Quality in the Sea Area (해역의 수질예측을 위한 입자추적 모델의 개발 및 적용성에 관한 연구)

  • 정서훈;한동진
    • Journal of Environmental Science International
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    • v.6 no.3
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    • pp.239-247
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    • 1997
  • The numerical experiments using a particle tracking model have been performed for predicting the change of water Quality and shoreline. In present study, comparison of the numerical model results with the analytic solution shows that the point of the mainmum concentration and the distribution pattern is very similar. The reflection effect from the boundary was newly Introduced for making clear the effect of the closed boundary which set limits to application of a particle tracking model. The present model seems to reappear physical phenomenon well. This model shows well qualitative appearance of pollutant diffusion in Kwangan beach. Therefore, this model is regarded as a useful means for predicting diffusion movement of suspended sand, and change of water quality.

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Modelling the Leipzig Wind Profile with a (k-ε) model

  • Hiraoka, H.
    • Wind and Structures
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    • v.4 no.6
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    • pp.469-480
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    • 2001
  • The Leipzig Wind Profile is generally known as a typical neutral planetary boundary layer flow. But it became clear from the present research that it was not completely neutral but weakly stable. We examined whether we could simulate the Leipzig Wind Profile by using a ($k-{\varepsilon}$) turbulence model including the equation of potential temperature. By solving analytically the Second Moment Closure Model under the assumption of local equilibrium and under the condition of a stratified flow, we expressed the turbulent diffusion coefficients (both momentum and thermal) as functions of flux Richardson number. Our ($k-{\varepsilon}$) turbulence model which included the equation of potential temperature and the turbulent diffusion coefficients varying with flux Richardson number reproduced the Leipzig Wind Profile.

A Study on the Demand Forecasting using Diffusion Models and Growth Curve Models (확산모형과 성장곡선모형을 이용한 중장기 수요예측에 관한 연구)

  • 강현철;최종후
    • The Korean Journal of Applied Statistics
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    • v.14 no.2
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    • pp.233-243
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    • 2001
  • 중장기 수요예측을 위해 자주 사용되는 방법으로 확산모형과 성장곡선모형을 들 수 있다. 본 논문에서는 이들 방법론의 성격 및 실제 적용에 있어 모수추정에 따른 문제점들을 살펴보고, 모수추정을 효율적으로 수행하기 위한 전략을 제시한다. 또한 실제 자료에 각 방법론들을 적용하여 예측결과를 비교한다.

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THE APPLICATION OF STOCHASTIC ANALYSIS TO COUNTABLE ALLELIC DIFFUSION MODEL

  • Choi, Won
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.2
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    • pp.337-345
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    • 2004
  • In allelic model X = ($\chi_1\chi$_2ㆍㆍㆍ, \chi_d$), M_f(t) = f(p(t)) - ${{\int^t}_0}\;Lf(p(t))ds$ is a P-martingale for diffusion operator L under the certain conditions. In this note, we can show existence and uniqueness of solution for stochastic differential equation and martingale problem associated with mean vector. Also, we examine that if the operator related to this martingale problem is connected with Markov processes under certain circumstance, then this operator must satisfy the maximum principle.

A new theoretical model for the dynamical analysis of Nano-Bio-Structures

  • Di Sia, Paolo
    • Advances in nano research
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    • v.1 no.1
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    • pp.29-34
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    • 2013
  • The conversion of mechanical energy into electrical energy at nanoscale using piezoelectric nanowire arrays has been in detail shown by deflection of nanowires. Recently it has performed an analytical model, both at classical and at quantum level, for describing the most important quantities concerning transport phenomena; the model predicts interesting peculiarities, as high initial charge diffusion in nanodevices constituting by nanowires and permits also in particular to deduce interesting informations about the devices sensitivity, focusing on the correlation between sensitivity and high initial diffusivity of these materials at nanometric level.

Pattern Formations with Turing and Hopf Oscillating Pattern in a Discrete Reaction-Diffusion System

  • Lee, Il Hui;Jo, Ung In
    • Bulletin of the Korean Chemical Society
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    • v.21 no.12
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    • pp.1213-1216
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    • 2000
  • Localized structures with fronts connecting a Turing patterns and Hopf oscillations are found in discrete reaction-diffusion system. The Chorite-Iodide-Malonic Acid (CIMA) reaction model is used for a reaction scheme. Localized structures in discrete reaction-diffusion system have more diverse and interesting features than ones in continuous system. Various localized structures can be obtained when a single perturbation is applied with variation of coupling strength of two intermediates. Roles of perturbations are not so simple that perturbations are sources of both Turing patterns and Hopf oscillating domains, and spatial distribution of them is determined by strength of a perturbation applied initially.

Basic Study for Development of Denitrogenation Process by Ion Exchange(III) - A kinetic study in the batch reactor - (이온교환법에 의한 탈질소 공정개발의 기초연구(III) - 회분식 반응기에서의 반응속도론-)

  • 채용곤;이동환;김승일;윤태경;홍성수;이민규
    • Journal of Environmental Science International
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    • v.9 no.2
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    • pp.165-171
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    • 2000
  • A kinetic study for anion exchange was performed for commercially available Cl- type anion exchange resin in use to remove nitrate in water. The obtained results from the batch reactor were applied to the Langmuir and Freundlich models. The constants for Lagmuir model were qmax =29.82 and b=0.202, and for Freundlich model were K=5.509 and n=1.772. Langmuir model showed betterfit than Frendlich model for the experimental results. Ion exchange reaction rate was also calculated and the the approximate first-order reaction, rate constant k1 was 0.16 L/mg.hr. Effective diffusion coefficient was obtained in the range from $9.67$\times$10^{-8} cm^2/sec$ for initial concentration change, and from $6.09$\times$10^{-7} to 3.98$\times$10^{-6} cm^2/sec$ for reaction temperature change. Activation energy during the diffusion was calculated as 26 kcal/mol.

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Study of the Calendar Aging of Lithium-Ion Batteries Using SEI Growth Models (SEI 성장 모델을 이용한 리튬 이온 배터리의 캘린더 노화 연구)

  • Dong Hyup Jeon;Byungman Chae;Sangwoo Lee
    • Applied Chemistry for Engineering
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    • v.35 no.1
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    • pp.48-53
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    • 2024
  • We predicted the calendar aging and long-term lifetime of lithium-ion batteries using an electrochemical-based SEI growth model. Numerical simulation was carried out employing the four different long-term SEI growth models (i.e., solvent diffusion limited model, electron migration limited model, Li-interstitial diffusion limited model, reaction limited model), and we calculated the capacity fade and loss of lithium inventory during calendar aging. The result showed that the electron migration limited model and Li-interstitial diffusion limited model showed lower capacity fade, while the solvent diffusion limited model and reaction limited model reached 80% of capacity fade within 10 years. During calendar aging, the lower storage temperature showed less capacity fade due to the hindrance of SEI growth rate. During cycling, the higher C-rate showed a shorter life cycle; however, the differences were not significant.

Effect of Water-Cement Ratio and Aging on the Characteristics of Chloride Ions Diffusion in Concrete (물-시멘트비와 재령이 콘크리트의 염소이온 확산특성에 미치는 영향)

  • 배수호;정영수;김진영;하재담;심은철;임병탁
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.737-742
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    • 2002
  • The chief factors for the penetration and diffusion of chloride ions in concrete are water-cement ratio(w/c), aging, thickness of cover concrete, chloride ions concentration of given environment, wet and dry conditions and etc. In this study, effect of w/c and aging on the characteristics of chloride ions diffusion in concrete were researched when environmental factors for the penetration and diffusion of chloride ions were constant. For this purpose, the voltages passing through the diffusion cell were measured by using accelerated test method using potential difference, and then diffusion coefficients of chloride ions by using Andrade's method were estimated for 44%, 49.5% and 55% of w/c, respectively. As a result, correlation among diffusion coefficients of chloride ions, w/c and aging were concluded through multiple regression model.

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Effect of Curing Conditions on the Characteristics of Chloride Ion Diffusion in Concrete (콘크리트의 염소이온 확산특성에 미치는 양생조건의 영향)

  • 임병탁;배수호;정영수;심은철;하재담
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.715-720
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    • 2003
  • The chief factors for the penetration and diffusion of chloride ions in concrete are water-cement ratio(W/C), aging, curing conditions, chloride ions concentration of given environment., wet and dry conditions and etc. In this study, of these factors effect of curing conditions such as standard and outdoor curing on the characteristics of chloride ions diffusion in concrete were researched when environmental factors for the penetration and diffusion of chloride ions were constant. For this purpose, the voltages passing through the diffusion cell were measured by using accelerated test method using potential difference, and then diffusion coefficients of chloride ions by using Andrade's method were estimated for 44%, 49.5% and 60% of w/c, respectively. As a result., according to curing conditions correlation among diffusion coefficients of chloride ions, W/C and aging were concluded through multiple regression model.

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