• 제목/요약/키워드: Solution-diffusion Model

검색결과 273건 처리시간 0.022초

Fuzzy methodology application for modeling uncertainties in chloride ingress models of RC building structure

  • Do, Jeongyun;Song, Hun;So, Seungyoung;Soh, Yangseob
    • Computers and Concrete
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    • 제2권4호
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    • pp.325-343
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    • 2005
  • Chloride ingress is a common cause of deterioration of reinforced concrete located in coastal zone. Modeling the chloride ingress is an important basis for designing reinforced concrete structures and for assessing the reliability of an existing structure. The modeling is also needed for predicting the deterioration of a reinforced structure. The existing deterministic solution for prediction model of corrosion initiation cannot reflect uncertainties which input variables have. This paper presents an approach to the fuzzy arithmetic based modeling of the chloride-induced corrosion of reinforcement in concrete structures that takes into account the uncertainties in the physical models of chloride penetration into concrete and corrosion of steel reinforcement, as well as the uncertainties in the governing parameters, including concrete diffusivity, concrete cover depth, surface chloride concentration and critical chloride level for corrosion initiation. There are a lot of prediction model for predicting the time of reinforcement corrosion of structures exposed to chloride-induced corrosion environment. In this work, RILEM model formula and Crank's solution of Fick's second law of diffusion is used. The parameters of the models are regarded as fuzzy numbers with proper membership function adapted to statistical data of the governing parameters instead of random variables of probabilistic modeling of Monte Carlo Simulation and the fuzziness of the time to corrosion initiation is determined by the fuzzy arithmetic of interval arithmetic and extension principle. An analysis is implemented by comparing deterministic calculation with fuzzy arithmetic for above two prediction models.

전단류 분산 해석을 위한 순차혼합모형의 개발 (Development of Sequential Mixing Model for Analysis of Shear Flow Dispersion)

  • 서일원;손은우
    • 대한토목학회논문집
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    • 제26권4B호
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    • pp.335-344
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    • 2006
  • 본 연구에서는 Taylor의 이론, 즉 종방향 이송과 횡방향 확산이 서로 독립적으로 일어나며 두 과정이 서로 균형을 이룬다는 개념을 바탕으로 순차혼합모형을 제안하였다. 서로 다른 혼합시간과 유속 분포 등을 사용하여 수치모의를 실시하였으며, 여기서 얻어진 단면평균 농도분포를 1차원 종분산모형과 2차원 이송-분산 모형과 비교하였다. 그 결과, 순차혼합모형이 1차원 종분산모형으로 요약되는 Taylor의 이론을 잘 구현하고 있음을 알 수 있었다. 2차원이송-확산모형과의 비교를 통해 혼합 시간과 횡확산계수와의 관계를 밝힐 수 있었으며, 따라서 순차혼합모형이 1차원 종분산모형뿐 아니라 2차원 이송-분산모형까지 연계하여 전단류 분산을 통합적으로 설명하는 모형임을 알 수 있었다. 본 연구에서는 순차혼합모형의 수치모의 결과와 1차원 종분산모형과의 적합을 통해 종분산계수를 결정하고, 회귀식을 사용해 종분산계수 추정식을 제안하였다. 본 연구에서 제안한 종분산계수 추정식은 38개의 현장실험자료를 사용하여 검증하였다. 그 결과, 하폭 대 수심 비가 비교적 작은 하천에 대해서 높은 신뢰성을 나타내었으며, 대체적으로 기존의 경험식과 비슷한 신뢰도를 나타내었다.

수분무에 의한 아이스 슬러리 생성에 관한 연구 (A study on ice-slurry production by water spray)

  • 김병선;이윤표;윤성영;이진호
    • 설비공학논문집
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    • 제9권2호
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    • pp.134-143
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    • 1997
  • A theoretical and experimental study has been performed to investigate the characteristics of ice-slurry product. By diffusion-controlled model, the possibility of ice slurry has been theoretically anticipated. The water vapor evaporated from the surface of droplets is extracted continuously from the chamber by a vacuum pump. The droplet diameter was measured by silion immersed method. The ice slurry has been obtained by spraying droplets of ethylene-glycol aqueous solution in the chamber where pressure is maintained under the triple point of water. The droplet of which the diameter is $300{\mu}m$, and the initial temperature is $20^{\circ}C$, was changed into ice particle within the chamber of which the height is 1.33m.

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식품 안전성 확보를 위한 목재 식기용 에폭시 코팅의 두께 결정 (Determining the Safer Thickness of the Epoxy Coating on Wooden Utensils)

  • 이광수;임동길;김상엽;장미란;김우성;이영자
    • 한국식품영양과학회지
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    • 제33권2호
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    • pp.447-450
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    • 2004
  • 목재에 코팅재로 사용되는 에폭시 수지로부터의 총괄이행량에 대한 모델을 정립하고, 이를 이용하여 안전성확보에 필요한 두께의 정도를 계산하였다. 에폭시 수지를 통한 총괄이행은 위생적 관심영역에서 확산모델에 의하여 해석이 가능하였고, 투과성 겉보기 투과성 지표에 미치는 온도의 영향은 Arrhenius 방정식으로 설명이 가능하였다. 그리고 일반적인 식품공전의 6$0^{\circ}C$, 30분의 용출조건에서 위생적 한도를 만족시키기 위한 최소의 코팅두께는 0.004 mm였다.

플래시 상평형 방법에 의한 고압 액적 기화 모델 (Modeling of High Pressure Droplet Vaporization with Flash Phase Equilibrium Calculation)

  • 이강원;윤웅섭
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2002년도 제18회 학술발표대회 논문초록집
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    • pp.65-69
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    • 2002
  • Unsteady vaporization of a droplet quiescent in a high pressure environment are studied with emphasis placed oil the modeling of equilibrium at vapor-liquid interface. Complete set of conservation equations for liquid and gas phases is numerically time integrated. Vapor-liquid interfacial thermodynamics are solved by f]ash equilibrium calculation method. The model was proper]y validated with experiment and the improvement in the solution accuracy was made. Vaporization of n-pentane fuel droplet in nitrogen background gas is examined. Effects of ambient gas solubility, property variation, transient diffusion, and multicomponent transport on the droplet vaporization are investigated systematically. High-pressure effects on the droplet vaporization is examined and discussed.

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OPTIMAL $$\rho$$ PARAMETER FOR THE ADI ITERATION FOR THE SEPARABLE DIFFUSION EQUATION IN THREE DIMENSIONS

  • Ma, Sang-Back
    • 대한수학회논문집
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    • 제10권1호
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    • pp.39-48
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    • 1995
  • The ADI method was introduced by Peaceman and Rachford [6] in 1955, to solve the discretized boundary value problems for elliptic and parabolic PDEs. The finite difference discretization of the model elliptic problem $$ (1) -\Delta u = f, \Omega = [0, 1] \times [0, 1] $$ $$ u = 0 on \delta \Omega $$ with 5-point centered finite difference discretization, with n +2 mesh-points in the x - direction and m + 2 points in the y direction, leads to the solution of a linear system of equations of the form $$ (2) Au = b $$ where A is a matrix of dimension $N = n \times m$. Without loss of generality and for the sake of simplicity, we will assume for the remainder of this paper that m = n, so that $N = n^2$.

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Dynamic characteristics of a CSTR with MMA polymerization

  • Ahn, Jong-Pil;Rhee, Hyun-Ku
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.100-105
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    • 1992
  • A mathematical model is developed for a CSTR in which free radical solution polymerization of methyl methacrylate(MMA) takes place. It turns out that five ordinary differential equations are to be treated simultaneously in order to predict the reactor performance. Although the reaction proceeds under the conditions of relatively low temperature and pressure, the system shows very complex bifurcation features due to the diffusion limitation (gel effect) and the temperature dependence of the kinetic parameters and physical properties. The effects of various system parameters on the reactor performance as well as on the polymer properties are investigated by using the bifurcation analysis. The application of the singularity theory enables us to divide the parameter space into several different regions, in each of which the system takes a unique steady state structure. Under certain circumstances, complex dynamic features such as HB points and limit cycles are observed and these should be taken into consideration in the reactor design.

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활성탄에 의한 Tharonil의 흡착특성에 관한 연구 (Study on Adsorption Characteristics of Tharonil from Aqueous Solution by Activated Carbon Adsorption)

  • 이종집;유용호
    • 한국안전학회지
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    • 제15권4호
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    • pp.88-94
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    • 2000
  • The adsorption characteristics of Tharonil on granular activated carbon were experimentally investigated in an adsorber and in a packed column. It was estabilished that the adsorption equilibrium of Tharonil on granular activated carbon was more successfully fitted by Freundlich isotherm equation than Langmuir isotherm equation in the concentration range from 1 to 1000 mg/1. Intraparticle diffusivities (pore and surface diffusivity) of Tharonil were estimated by the concentration-time curve and adsorption isotherm. The estimated values of pore diffusivity and surface diffusivity are $6.70{\times}10^{-6}$ and $2.0{\times}10^{-9}cm^2/s$, respectively. From comparison of intraparticle diffusivities, it was found that surface diffusion was the limiting step for adsorption rate. The break time and breakthrough curve predicted by constant pattern-linear driving force model were shown to agree with the experimental results.

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A Study on Ice Slurry Production by Water Spray

  • Kim, Byeong-Sun;Lee, Yoon-Pyo;Yoon, Seong-Young;Lee, Jin-Ho
    • International Journal of Air-Conditioning and Refrigeration
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    • 제6권
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    • pp.45-55
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    • 1998
  • A theoretical and experimental study is performed to investigate the characteristics of ice slurry product. By diffusion-controlled evaporation model the possibility of ice slurry is theoretically anticipated. The water vapor evaporated from the surface of droplets is extracted continuously from the chamber by a vacuum pump. The droplet diameter is measured by silicon immersion method. The ice slurry is obtained by spraying droplets of ethylene glycol aqueous solution in the chamber where pressure is maintained under the triple point of water. The droplet with the diameter of 300 $\mu\textrm{m}$and the initial temperature of 2$0^{\circ}C$ was changed into ice particle within the chamber of 1.33m in height.

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자전연소합성 반응중 속빈 TiC 섬유의 형성 기구 (Forming Mechanism of TiC Hollow Fibers during Self-Propagating High Temperature Synthesis)

  • 윤존도;방환철
    • 한국세라믹학회지
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    • 제37권4호
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    • pp.332-337
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    • 2000
  • Forming mechanism of fibrous TiC during self-propagating high temperature synthetic reaction was analyzed and suggested. It was revealed that critical temperature for the stable fiber formation was not the melting point of TiC, but the eutectic reaction temperature of TiC and C. Minimum amount of TiC diluent addition required to form fibers was calculated to be 25.6%, which was consistent with the experimental result. Synthesized fibers were found hollow tube-like. The morphology was explained by the diffusion rates of C and Ti in TiC, and by the molar volume chnage of C during the reaction. Expanding shell model was suggested for the hollow fiber formation mechanism.

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