• 제목/요약/키워드: Fick's law

검색결과 93건 처리시간 0.029초

Steady-State and Transient Response Analysis of DSSC Based on Electron Diffusion Coefficient and Chemical Capacitance

  • J. C. Gallegos;J. Manriquez;R. Rodriguez;S. Vargas;D. Rangel
    • Journal of Electrochemical Science and Technology
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    • 제15권2호
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    • pp.276-290
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    • 2024
  • A study of the transition from transitory state to steady state in DSSCs based on natural dyes is presented; cochineal was used as dye and Li+, Na+, and K+ were the ions added to the electrolyte. The photocurrent profiles were obtained as a function of time. Several DSSCs were prepared with different cations and their role and the transitory-to-steady transition was determined. A novel hybrid charge carrier source model based on the Heaviside function H(t) and the Lambert-Beer law, was developed and applied to analysis of the transient response of the output photocurrent. Additionally, the maximum effective light absorption coefficient α and the electronic extraction rate κ for each ion were determined: ${\alpha}_{Li^+,Na^+,K^+}\,=\,(0.486,\,0.00085,\,0.1126)\,cm^{-1}$, and also the electronic extraction rate ${\kappa}^{Li^+,Na^+,K^+}_{ext.}\,=\,(1410,\,19.07,\,19.69)\,cm\,s^{-1}$. The impedance model using Fick's second law was developed for carrier recombination to characterize the photocurrent.

Numerical analysis of concrete degradation due to chloride-induced steel corrosion

  • Ayinde, Olawale O.;Zuo, Xiao-Bao;Yin, Guang-Ji
    • Advances in concrete construction
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    • 제7권4호
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    • pp.203-210
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    • 2019
  • Concrete structures in marine environment are susceptible to chloride attack, where chloride diffusion results in the corrosion of steel bar and further lead to the cracking of concrete cover. This process causes structural deterioration and affects the response of concrete structures to different forms of loading. This paper presents the use of ABAQUS Finite Element Software in simulating the processes involved in concrete's structural degradation from chloride diffusion to steel corrosion and concrete cover cracking. Fick's law was used for the chloride diffusion, while the mass loss from steel corrosion was obtained using Faraday's law. Pressure generated by steel corrosion product at the concrete-steel interface was modeled by applying uniform radial displacements, while concrete smeared cracking alongside the Extended Finite Element Method (XFEM) was used for concrete cover cracking simulation. Results show that, chloride concentration decreases with penetration depth, but increases with exposure time at the concrete-steel interface. Cracks initiate and propagate in the concrete cover as pressure caused by the steel corrosion product increases. Furthermore, the crack width increases with the exposure time on the surface of the concrete.

무우의 염절임시 소금의 침투량과 확산도 예측모델 (Prediction Model of Absorbed Quantity and Diffusivity of Salf in Radish during Salting)

  • 최용희;권태연
    • 한국식품영양과학회지
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    • 제20권6호
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    • pp.572-581
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    • 1991
  • 무우의 염절임시 무우내로의 소금의 침투량을 예측할 수 있는 모델을 수립하고자 각각 5%, 10%, 15% 소금용액의 농도, 10, 20, $30^{\circ}C$ 온도에서 시간당 무우내 소금의 침투량과 수분의 변화를 측정하였다. 시간에 따른 무우내 소금의 침투량은 ln 함수를 따랐고 소금용액의 농도와 온도에 따른 무우내 소금의 침투량은 linear 한 관계를 나타내었다. 각각의 시간, 소금용액의 농도, 온도에 따른 무우내 소금의 침투량 예측 모델은 SPSS 통계 package중의 regression program을 이용하여 model식을 수립하였다. 무우내로의 소금의 확산도는 Fick 제2법칙의 적절한 확산식에서 computer simulation을 통해서 확산도를 계산하였다. 무우내로의 소금의 확산도는 소금용액의 농도가 즈가함에 따라 커지고 예측할 수 있는 model식은 회귀분석을 통해 수립하였다. 무우내로의 소금의 침투량과 무우밖으로의 탈수량과의 관계를 규명하기 위해 Flux ratio(${\Delta}W/{\Delta}S$)을 구해 본 결과 1보다 조금 큰 값을 나타내어 탈수량이 소금의 침투량보다 다소 많음을 알 수 있었다.

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원판(圓板)의 열판건조(熱板乾燥)에서 컴퓨터 시뮬레이션에 의한 내부온도(內部溫度)와 함수율(含水率) 분포모형(分布模型) (Distribution Model Based on Computer Simulation for Internal Temperature and Moisture Content in Press Drying of Tree Disks)

  • 여환명;정희석
    • Journal of the Korean Wood Science and Technology
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    • 제22권2호
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    • pp.61-70
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    • 1994
  • This study was executed to find the applicability of press drying of tree disk by investigating the shrinkage and drying defect and to form appropriate model by comparing the actual moisture content(MC) and internal temperature in respect of drying time with calculated values based computer simulation to which was applied finite difference method. In press drying disk, heating period, constant drying rate period maintained plateau temperature at 100$^{\circ}C$ and falling drying rate period were significantly distinguished. Actual MC and internal temperature were analogous to those calculated at comparing points. Heat transfer model formed by Fourier's law using specific heat of moist wood and conduction coefficient considering fractional volume of each element of wood cell wall, bound water, free water and air showed applicability as basic data to developing heat expansion, shrinkage and drying stress during press drying. Also mass transfer model formed by Fick's diffusion law using water vapor diffusion coefficient showed applicability. Longitudinal shrinkage was developed by pressure of hot press and tangential shrinkage was restrained by hygrothermal recovery. The heart check, surface check and ring failure were occurred differently in species, but V-shaped crack didn't develop.

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Migration of calcium hydroxide compounds in construction waste soil

  • Shin, Eunchul;Kang, Jeongku
    • Advances in environmental research
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    • 제4권3호
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    • pp.183-196
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    • 2015
  • Migration of leachate generated through embankment of construction waste soil (CWS) in low-lying areas was studied through physical and chemical analysis. A leachate solution containing soluble cations from CWS was found to have a pH above 9.0. To determine the distribution coefficients in the alkali solution, column and migration tests were conducted in the laboratory. The physical and chemical properties of CWS satisfied environmental soil criteria; however, the pH was high. The effective diffusion coefficients for CWS ions fell within the range of $0.725-3.3{\times}10^{-6}cm^2/s$. Properties of pore water and the amount of undissolved gas in pore water influenced advection-diffusion behavior. Contaminants migrating from CWS exhibited time-dependent concentration profiles and an advective component of transport. Thus, the transport equations for CWS contaminant concentrations satisfied the differential equations in accordance with Fick's 2nd law. Therefore, the migration of the contaminant plume when the landfilling CWS reaches water table can be predicted based on pH using the effective diffusion coefficient determined in a laboratory test.

철근콘크리트 구조물 염해 내구설계에 있어서 설계확률변수의 민감도 평가 (The Sensitivity Evaluation of Probability Variables to Durability Design of the RC Structures)

  • 박동천;오상균
    • 한국항해항만학회지
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    • 제33권3호
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    • pp.235-240
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    • 2009
  • 해안철근콘크리트 구조물은 해수 또는 비래염분에 의하여 철근이 부식하게 되고 결과적으로 콘크리트에 균열로 발전하여 성능을 다하게 된다. 본 연구에서는 염해에 대한 해안 철근콘크리트 구조물의 내구성능 평가를 위하여 수치해석에 의한 결정론적 방법이 아니라 확률론에 입각한 성능평가를 위하여 확률론적 시뮬레이션 수법을 구축하였다. 시뮬레이션 수법으로는 몬테카를로법이 적용되었으며, 파괴확률에 대한 설계확률변수(표면염화물 농도, 초기 함유 염소이온농도, 철근의 피복두께, 염소이온 확산계수) 및 각각의 변동계수의 영향을 평가하였다. Fick의 확산방정식을 이용한 해석결과, 해안에서의 거리의 차 및 확산계수의 차에 의한 영향은 컸으며 상대적으로 변동계수의 영향은 그다지 높지 않다는 것을 알 수 있었다.

단면복구재로 보수된 콘크리트의 재탄산화 과정에 대한 분석적 모델링 (Analytical Modelling for Recarbonation Process of Concrete Repaired with Patching Repair Material)

  • 도정윤;김두기;송훈;조영국
    • 한국구조물진단유지관리공학회 논문집
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    • 제14권2호
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    • pp.89-96
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    • 2010
  • 이산화탄소에 의해 열화된 콘크리트 구조물의 보수 후 잔존수명을 평가할 때 보수재의 효과를 고려하기 위해 본 연구에서는 탄산화에 의해 열화를 받은 콘크리트 부재의 보수 후 재열화과정을 Fick's 확산(diffusion) 제1법칙을 이용하여 모델링함으로써 단면복구재에 의해 보수된 콘크리트 부재의 독특한 상황을 고려한 합리적인 예측식을 제시하였다. 연구결과는 보수재의 이산화탄소 확산 프로파일과 기존 구체콘크리트의 탄산화된 부분의 이산화탄소 확산 프로파일을 효과적으로 모델링할 수 있음을 보여줬다. 제시된 평가모델식에 대한 검증예제를 통해 보수재의 이산화탄소 확산지연효과를 확인할 수 있었으며 보수된 콘크리트 구조물의 보수 후 잔존수명을 객관적이고 수치계산적인 방법으로 평가할 수 있었다.

콘택트렌즈의 피팅조건에 따른 산소확산 (Oxygen Diffusion According to the Fitting Conditions of Contact Lens)

  • 김대수
    • 한국안광학회지
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    • 제13권3호
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    • pp.35-43
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    • 2008
  • 목적: 콘택트렌즈의 피팅에 따른 눈물 층의 두께, 렌즈의 Dk 값 및 두께 변화가 각막에 유입되는 산소확산에 미치는 영향을 고찰하였다. 방법: 확산에 관한 Fick 법칙 및 연속법칙을 사용하여 액체(눈물)-CL-눈물 층을 통하여 각막으로 유입되는 산소 flux 및 각막 표면의 산소 분압을 계산할 수 있는 일련의 방정식을 세우고 이들 식에 의거하여 피팅에 따른 눈물 층의 두께, 렌즈의 Dk 및 두께 변화가 각막에 유입되는 산소 flux에 어떠한 영향을 미치는가를 예측하였다. 결과: 본 모델을 사용하여 적절한 피팅 조건에 부합하고 또한 각막 표면의 산소 분압이 보장되는 렌즈의 Dk 및 두께를 결정할 수 있었다. 결론: 대단히 높은 Dk 값을 지닌 렌즈라도 너무 flat 또는 tight하게 피팅된 경우 렌즈의 주변부와 각막 사이 눈물 층의 간격이 커짐으로 인하여 각막에 도달하는 산소 flux 및 각막표면의 산소 분압이 급격히 감소될 수 있다.

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Distribution of Vital, Environmental Components and Nutrients Migration Over Sedimentary Water Layers

  • Khirul, Md Akhte;Kim, Beom-Geun;Cho, Daechul;Kwon, Sung-Hyun
    • 한국환경과학회지
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    • 제30권3호
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    • pp.195-206
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    • 2021
  • Contaminated marine sediment is a secondary pollution source in the coastal areas, which can result in increased nutrients concentrations in the overlying water. We analyzed the nutrients release characteristics into overlying water from sediments and the interaction among benthic circulation of nitrogen, phosphorus, iron, and sulfur were investigated in a preset sediment/water column. Profiles of pH, ORP, sulfur, iron, nitrogen, phosphorus pools were determined in the sediment and three different layers of overlying water. Variety types of sulfur in the sediments plays a significant role on nutrients transfer into overlying water. Dissimilatory nitrate reduction and various sulfur species interaction are predominantly embodied by the enhancing effects of sulfide on nitrogen reduction. Contaminant sediment take on high organic matter, which is decomposed by bacteria, as a result promote bacterial sulfate reduction and generate sulfide in the sediment. The sulfur and iron interactions had also influence on phosphorus cycling and released from sediment into overlying water may ensue over the dissolution of ferric iron intercede by iron-reducing bacteria. The nutrients release rate was calculated followed by release rate equation. The results showed that the sediments released large-scale quantity of ammonium nitrogen and phosphate, which are main inner source of overlying water pollution. A mechanical migration of key nutrients such as ammonia and inorganic phosphate was depicted numerically with Fick's diffusion law, which showed a fair agreement to most of the experimental data.

Numerical simulation on integrated curing-leaching process of slag-blended cement pastes

  • Xiang-Nan Li;Xiao-Bao Zuo;Yu-Xiao Zou;Guang-Pan Zhou
    • Computers and Concrete
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    • 제32권1호
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    • pp.45-60
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    • 2023
  • Concrete in water environment is easily subjected to the attack of leaching, which causes its mechanical reduction and durability deterioration, and the key to improving the leaching resistance of concrete is to increase the compaction of its microstructure formed by the curing. This paper performs a numerical investigation on the intrinsic relationship between microstructures formed by the hydration of cement and slag and leaching resistance of concrete in water environment. Firstly, a shrinking-core hydration model of blended cement and slag is presented, in which the interaction of hydration process of cement and slag is considered and the microstructure composition is characterized by the hydration products, solution composition and pore structure. Secondly, based on Fick's law and mass conservation law, a leaching model of hardened paste is proposed, in which the multi-species ionic diffusion equation and modified Gérard model are established, and the model is numerically solved by applying the finite difference method. Finally, two models are combined by microstructure composition to form an integrated curing-leaching model, and it is used to investigate the relationship between microstructure composition and leaching resistance of slag-blended cement pastes.