• Title/Summary/Keyword: Fick's law

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Hydroxide diffusion rates in amorphous solid water

  • Lee, Du Hyeong;Bang, Jaehyeock;Kang, Heon
    • Proceedings of the Korean Vacuum Society Conference
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    • 2016.02a
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    • pp.142.1-142.1
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    • 2016
  • We present bulk diffusion rates of hydroxide ions in amorphous solid water (ASW) at 135 ~ 160 K. Previous researches showed that the diffusion mechanism of hydroxide is different from one of hydronium ions, and this implies that they have different diffusion rates. In ultra-high vacuum (UHV) chamber, low-energy scattering (LES) was used to measure ion population and temperature-programmed desorption (TPD) was conducted for measuring ASW thicknesses. To determine the diffusion rates, a simple model for $H_2O/NaOH/H_2O$ sandwich films was developed using Fick's second law. The measured surface population of hydroxide ions as a function of time was well fitted to the model, and the rates were well agreed to an Arrhenius equation.

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Predicting Respiration Rate of Pear in film package of Selective gas permeation (기체 투과 선택성 포장 필름 내 배 호흡현상 예측)

  • Sim, Seung-Woo;Ryu, Dong-Wan;Park, Chan-Young
    • Journal of the Korean Society of Industry Convergence
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    • v.2 no.1
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    • pp.105-112
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    • 1999
  • Model predicting the respiration rate of pear under modified LDPE film pouch has been developed. The assumptions of the model have three bases; 1) respiration rate is depending on $CO_2$ and $O_2$ concentration in the package, 2) the oxidation of glucose in pear generates carbon dioxides, and 3) gases permeation through the package film bases on the Langmuir adsorption theory and Fick's law. The simulated results agreed fairly well with the experimental data so as this model to be useful in designing the modified atmospheric packaging system.

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A Study on the Chloride Ion Diffusion Coefficient of Concrete by Submergence in Salt Water (침적시험에 의한 콘크리트의 염소이온 확산계수 평가)

  • 김동석;양승규;정연식;유재상;이종열;본간건일
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.11a
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    • pp.297-300
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    • 2003
  • A chloride is an important deteriorating factor which governs the durability of the reinforced-concrete structures under marine environments. Also, the main penetration mechanism of chloride ion into concrete is a diffusion phenomenon. In this study, It is evaluated the diffusion coefficient of chloride ion in non-steady state by Fick's second law. Submergence method in salt water carried out in this experiment. Two types of cement which is different in mineral composition were used. In addition, the effect of mineral admixtures of blast-furnace slag and meta-kaolin was studied. In conclusion, the diffusion coefficient of chloride ion is much affected according to cement type and mineral admixtures, also, it is proved that meta-kaolin as well as blast-furnace slag is effective in preventing penetration of chloride ion.

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Corrosion initiation time models in RC coastal structures based on reliability approach

  • Djeddi, Lamine;Amirat, Abdelaziz
    • Advances in concrete construction
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    • v.9 no.2
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    • pp.149-159
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    • 2020
  • The present work proposes new engineering models for determining corrosion initiation time in concrete reinforcing steels in marine environment. The models are based on Fick's second law that is commonly used for chloride diffusion. The latter is based on deterministic analyses involving the most influencing parameters such as distance of the concrete structure from the seaside, depth of steel concrete cover, ambient temperature, relative humidity and the water-cement ratio. However, a realistic corrosion initiation time cannot be estimated because of the uncertainties associated to the different parameters of the models. Therefore a reliability approach using FORM/SORM method has been applied to develop the proposed engineering models integrating a limit state function and a reliability index β. As a result, the corrosion initiation time is expressed by new exponential engineering models where the uncertainties are associated to the model parameters. The main emerging result is a realistic decision tool for corrosion planning inspection.

Theoretical Calculation of Parabolic Rate Constant for High-Temperature Oxidation of Metals (금속의 고온 산화동안 포물선 속도상수의 이론적 계산)

  • Kim, Insoo;Cho, Weol Dong
    • Journal of the Korean Society for Heat Treatment
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    • v.14 no.5
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    • pp.282-285
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    • 2001
  • Based on the mass balance of anion and cation fluxes, the parabolic rate constant ($K_p$) of oxide grown during the high-temperature oxidation of metal is theoretically calculated. It is assumed that the diffusion of oxygen anion and metal cation through oxide scale obeys the Fick's 1st law, the growth of oxide is controlled by the diffusion of ions, electrical potential gradient as driving force for diffusion of ions is ignored, and oxidation occurs within an existing oxide layer. Then, the parabolic rate constant can be expressed by $K_p=[2{\rho}_{MmOn}{M^2}_{MmOn}(mD_oC_o{^e}+nD_MC_M{^e})/nm]$.

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The Uptake of Solvent in Polymeric Thin Membranes By a Relaxation-Sorption Coupled Mechanism

  • Song, Kyu-Min;Hong, Won-Hi
    • Proceedings of the Membrane Society of Korea Conference
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    • 1995.10a
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    • pp.43-44
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    • 1995
  • The diffusion behavior of liquid into polymer has been described by Fick's law, but the departure from Fickian diffusion is frequently found. In this study, 'noble' expressions for the rates of relaxation and sorption are introduced to eliminate these limitations. The ralaxation-sorption coupled mechanism model are based on the possibility of contacting liquid molecule and the active site which has the numerical concept of free volume. The concept has an analogy of reaction rate expressed by the possibility of collision with molecules and used in adsorption and reactive extraction etc. The new model simulated by Rungc-Kutta method for initial-value problem and Fickian diffusion is caompared with experimental data. The results show that the ralaxation-sorption coupled mechanism is able to account well for Fickian and non-Fickian sorption behavior including sigmoid and two-stage. In addition, this model has a chance of expansion to multi-component sorption with ease.

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A study on Probability-based Durability Design of Concrete Structures subjected to Chloride Attack (확률론적 방법을 적용한 콘크리트 구조물의 염해 내구성 설계에 관한 연구)

  • Kim Won-Dong;Song Ha-Won;Byun Kun-Joo;Pack Sung-Woo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05b
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    • pp.161-164
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    • 2005
  • A probability-based durability design which minimizes the uncertainties on durability parameters of concrete is proposed for reinforced concrete structures subjected to chloride attack. The uncertainties of various factors such as water-cement ratio, curing temperature, age of concrete and the variation of these factors which affect chloride ion diffusion are considered. For the durability design, a probability-distribution function for each factor is obtained and a program which combines Fick's 2nd law and Monte Carlo simulation is developed. The durability design method proposed in this study considers probability of durability limit and probability of the concentration of chloride ion, so that the probability-based deterioration prediction is possible.

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A Probability-Based Durability Analysis of Concrete Structures (콘크리트 구조물의 확률론적 내구성 해석)

  • Kim Jee-Sang;Lee Kwang-Myong;Jung Sang-Hwa;Bae Su-Ho;Choi Kyu-Yong;Yang Jong-Ho
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05b
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    • pp.189-192
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    • 2005
  • In recent years, many research works have been carried out in order to obtain a more controlled durability and long-term performance of concrete structures in chloride containing environments. In particular, the development of new procedures for probability-based durability analysis/design has proved to be very valuable. In this paper, the equation used for modelling of the chloride penetration was based on Fick's Second Law of Diffusion in combination with a time dependent diffusion coefficient. The probability analysis of the durability performance was performed by use of a Monte Carlo Simulation. The procedure was applied to an example based on limited data gathered in this country. The influences of each parameter on the durability of concrete structures are studied and some comments for durability design are given. The new procedure may be very useful in designing concrete structures in chloride containing environments.

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Semiempirical model for wet scrubbing of bubble rising in liquid pool of sodium-cooled fast reactor

  • Pradeep, Arjun;Sharma, Anil Kumar
    • Nuclear Engineering and Technology
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    • v.50 no.6
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    • pp.849-853
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    • 2018
  • Mechanistic calculations for wet scrubbing of aerosol/vapor from gas bubble rising in liquid pool are essential to safety of sodium-cooled fast reactor. Hence, scrubbing of volatile fission product from mixed gas bubble rising in sodium pool is presented in this study. To understand this phenomenon, a theoretical model has been setup based on classical theories of aerosol/vapor removal from bubble rising through liquid pools. The model simulates pool scrubbing of sodium iodide aerosol and cesium vapor from a rising mixed gas bubble containing xenon as the inert species. The scrubbing of aerosol and vapor are modeled based on deposition mechanisms and Fick's law of diffusion, respectively. Studies were performed to determine the effect of various key parameters on wet scrubbing. It is observed that for higher vapor diffusion coefficient in gas bubble, the scrubbing efficiency is higher. For aerosols, the cut-off size above which the scrubbing efficiency becomes significant was also determined. The study evaluates the retention capability of liquid sodium used in sodium-cooled fast reactor for its safe operation.

Particle-Based Framework for Efficiently Representation of the Physical Properties of Paint in Virtual Environment (가상환경에서 물감의 물리적 특성을 효율적으로 표현하는 입자 기반 프레임워크)

  • HyeongJun Yoo;Jong-Hyun Kim
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2023.01a
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    • pp.385-387
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    • 2023
  • 본 논문에서는 물감의 유체성, 확산성, 흡착성, 흡수성 및 응고성과 같은 물감의 물리적 특성을 활용하여 사실적인 페인트 시뮬레이션할 수 있는 입자 기반 프레임워크를 제안한다. 현실에서는 물감이 흐르고, 확산하는 것뿐만 아니라 흡착하거나 시간에 지남에 따라 응고되는 현상을 쉽게 관찰할 수 있다. 본 논문에서는 이런 현상을 사실적으로 표현하기 위하여 SPH(Smoothed-particle hydrodynamics) 방식을 시뮬레이션 하였으며 Isotropic kernel이 아닌 Anisotropic kernel을 사용하여 확산 과정을 표현하는 방식을 소개한다. 우리의 방법은 Fick's law를 바탕으로 물질 전달 방식을 이용한 확산 과정을 표현하였으며, 시간이 지남에 따라 굳어가는 응고성, 그리고 Van der waals 힘을 기반으로 한 흡착 과정을 동시적으로 표현하여 사실적인 페인트를 구현하였다.

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