• 제목/요약/키워드: Fick's diffusion mechanics

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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.

불소고분자-방향족 용매계의 비이상적 흡수에 대한 확산 모델식의 적용 (Application of Diffusion Models to Anomalous Sorption in Fluoropolymer-aromatic Solvent Systems)

  • 이상화
    • 멤브레인
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    • 제10권3호
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    • pp.139-147
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    • 2000
  • 불소고분자(ETFE, ECTFE, PVDF)내로 방향족 유기용매(벤젠, 톨루엔, 클로로벤젠)의 비정상 흡수실험에서 non-Fickian (혹은 비이상적인) 확산이 관측되었다. 본 연구에서는 Fick's 법칙에 바탕을 둔 확산모델식(Crank, Long & Richman, Berens & Hopfenberg, Neogi, Li)을 이용하여 방향족 유기용매의 흡수실험에서 관측된 비이상적 흡수데이터론 분석하였다. 모델식의 매개변수 값은 실험데이터와 모델 예측 값의 차이를 최소화하는 least square 법을 이용하여 결정하였다. Fickian 확산으로부터 약간 벗어나는 ETFE 흡수데이터는 앞에서 언급한 모델식들을 이용하여 모두 만족할 만한 결과를 얻었다. 특히 Neogi 모델식은 ETFE-용매계의 고유확산계수(0.4~0.8$\times$$10^-5{cm}^2$/day) 및 평형 확산계수(0.13~0.31$\times$$10^-4{cm}^2$/day), 고분자구조의 이완 속도상수 값을 예측해주었다. PVDF의 전형적인 sigmoidal 흡수데이터에 대해서는 Crank 모델이 비교적 잘 적용되었으며, 초기 확산계수와 평형 확산계수간의 비($D_{\infty}/D_i$)는 80~200의 값을 나타내주었다. 가속적인 흡수데이터를 나타내주는 ECTFE의 경우에는 모든 모델식들의 예측 결과가 상당히 벗어났다. Fickian 확산으로부터 많이 벗어나는 비이상적인 흡수데이터로부터 확산 이동성질과 고분자구조의 이완현상에 대한 정보를 얻기 위해서는 열역학이나 continuum mechanics에 바탕을 둔 새로운 모델식을 적용해야 할 것으로 사료된다.

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Modeling of time-varying stress in concrete under axial loading and sulfate attack

  • Yin, Guang-Ji;Zuo, Xiao-Bao;Tang, Yu-Juan;Ayinde, Olawale;Ding, Dong-Nan
    • Computers and Concrete
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    • 제19권2호
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    • pp.143-152
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    • 2017
  • This paper has numerically investigated the changes of loading-induced stress in concrete with the corrosion time in the sulfate-containing environment. Firstly, based on Fick's law and reaction kinetics, a diffusion-reaction equation of sulfate ion in concrete is proposed, and it is numerically solved to obtain the spatial and temporal distribution of sulfate ion concentration in concrete by the finite difference method. Secondly, by fitting the existed experimental data of concrete in sodium sulfate solutions, the chemical damage of concrete associated with sulfate ion concentration and corrosion time is quantitatively presented. Thirdly, depending on the plastic-damage mechanics, while considering the influence of sulfate attack on concrete properties, a simplified chemo-mechanical damage model, with stress-based plasticity and strain-driven damage, for concrete under axial loading and sulfate attack is determined by introducing the chemical damage degree. Finally, an axially compressed concrete prism immersed into the sodium sulfate solution is regarded as an object to investigate the time-varying stress in concrete subjected to the couplings of axial loading and sulfate attack.