• Title/Summary/Keyword: diffusion law

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The application of model equations to Non-Fickian diffusion observed in Fluoropolymers

  • Lee, Sangwha
    • Proceedings of the Membrane Society of Korea Conference
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    • 1996.04a
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    • pp.34-35
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    • 1996
  • The diffusional behavior of many non-solvents in glassy or semicrystalline polymers cannot be adequately described by a concentration-dependent form of Fick's law, especially when mass transfer is coupled with structural changes. Many mathematical models have been devised to interprete non-Fickian diffusion dominated by relaxation kinetics. In formulation of non-Fickian diffusion mathematics, therefore, the most important factor to consider is how relaxation effects can influence the governing constitutive equation and boundary conditions. That is, relaxation parameters can be accommodated by variable boundary conditions or a modified continuity equation, or both, depending on specific systems and conditions (Frish, 1980). Accoring to Astarita and Nicolais (1983), the model equations can be broadly categorized as continuous or discontinuous. Continuous model equations encompass phenomena where the structural change takes place gradually over the whole volume of the polymer sample (Crank, 1953; Long and Richman, 1961; Berens and Hopfenberg, 1978). On the other hand, discontinuous model equations deal with the phenomena where the morphological change appears to be abrupt (Li, 1984). Four mathematical models with different relaxation parameters were applied to fit the anomalous sorption data observed in fluoropolymers (PVDF, ECTFE). The fitted result for PVDF-benzene sorption data is shown in Fig. 1.

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Soot Temperature and Concentration Measurement Using Emission/Transmission Tomography in Laminar Diffusion Flame (방사와 투과를 이용한 층류확산화염내 매연입자의 온도 및 농도 측정)

  • 송상종;박성호;김상수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.10
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    • pp.2563-2573
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    • 1993
  • The measurements of monochromatic line-of-sight flame emission and light transmission in the same path having small spatial resolution were performed in an axisymmetric laminar propane $C_{3}H_{8}$ diffusion flame. The light wavelengthes of 632 nm, 800nm, 900nm were used. From these measurements, local point soot radiances (by Kirchhoff's law) and absorption coefficients were reconstructed by tomography. Thus local point soot temperatures and concentrations were obtained. The reconstructed soot temperatures and concentrations of local points have no differences between the case of visible range (632 nm) and the case of infrared range (800 nm and 900 nm). In these ranges, the scattering coefficient is much lower than the absorption coefficient. Soot mean temperature over the path also matches well with local soot temperature in outer region of the flame. Temperature measurement by thermocouple with different bead diameters $(222{\mu}m and 308{\mu}m)$ was carried in the same flame. Rapid insertion technique was used and radiation effect was considered. Radiation correction in the sooting region was carried out and the corrected result was in good agreement with the local soot temperature.

Molecular Diffusion of Water in Paper( I )-Steady-State Diffusion Experiment for the Evaluation of Water Vapor-proof Properties of Paper- (종이내 수분확산(제1보)-종이의 방습성 평가를 위한 수증기의 정류상 확산 실험-)

  • Yoon, Sung-Hoon;Jeon, Yang;Ow, Say-Kyoun;Seo, Yung-Bum
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.30 no.1
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    • pp.59-70
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    • 1998
  • A steady-state molecular diffusion experiment was conducted to evaluate the water vapor proof properties of paper Handsheets prepared from unbleached Itraft pulps(UKP) and old newspapers(ONP) and four different types of polymer-laminated white duplex board were tested under appropriate standard conditions. The diffusivity was determined on the basis of the Fickean first law. Results obtained from this study can be summarized as follows ; 1. The diffusivity data for handsheets showed about $10^{-5}cm^2/min$. whereas polymer-laminated paperboards had remarkably improved water-vapor resistance with about $10^3 to 10^4$ times lower diffusivity : 2. Sheet basis weight, wet-swelling and sizing degree had little influence on the diffusivity of paper; 3 Linear relationship existed between sheet density and diffusivity, and, 4. Highly sfgnificant linear relationship could be observed between diffusivity and Darcy s gas permeability. Results indicate that diffusivity, an intrinsic property of paper, can provide a valuable information for precise evaluation and improved quality control of water-vapor proof properties of paper.

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Thin-layer Drying Characteristics of Rapeseed

  • Lee, Hyo-Jai;Lee, Seung-Kee;Kim, Hoon;Kim, Woong;Han, Jae-Woong
    • Journal of Biosystems Engineering
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    • v.41 no.3
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    • pp.232-239
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    • 2016
  • Purpose: The aims of this study were to define the drying characteristics of rapeseed and to determine the optimum thin-layer drying model for rapeseed by considering the effects of drying temperature and relative humidity. Methods: The thin-layer drying experiments were conducted at different combinations of drying air temperature levels of 40, 50, and $60^{\circ}C$ and relative humidity levels of 30, 45, and 60%, on both of which drying rate depends. The drying rate increased with increasing air temperature as well as decreasing relative humidity. The 13 models were fitted to the experimental data. Results: From the results of the regression analysis for empirical constants of the Page model, the values of $R^2$ were the highest (ranging from 0.9924 to 0.9966) and the values of RMSE were the lowest (ranging from 0.0169 to 0.0296). Conclusions: For all drying conditions considered, the Page model was determined to be the most suitable model for describing the thin-layer drying of rapeseed (P-value < 0.01). The moisture diffusion coefficients were calculated using the moisture diffusion equation for a spherical shape, based on Fick's second law.

Oxidation Behavior of Ti1-xAlxN Barrier Layer for Memory Devices (메모리소자를 위한 Ti1-xAlxN 방지막의 산화 거동)

  • Park, Sang-Shik
    • Korean Journal of Materials Research
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    • v.12 no.9
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    • pp.718-723
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    • 2002
  • $Ti_{1-x}$ $Al_{ x}$N thin films as barrier layer for memory devices application were deposited by reactive magnetron sputtering. The crystallinity, micro-structure, oxidation resistance and oxidation mechanism of films were investigated as a function of Al content. Lattice parameter and grain size of thin films were decreased with increasing the Al content Oxidation of the film with higher Al content is slow and then, total oxide thickness is thinner than that of lower Al content film. Oxide layer formed on the surface is AlTiNO layer. Oxidation of $Ti_{1-x}$ /$Al_{x}$ N barrier layer is diffusion limited process and thickness of oxide layer with oxidation time increased with a parabolic law. The activation energy of oxygen diffusion, Ea and diffusion coefficient, D of $Ti_{0.74}$ /X$0.74_{0.26}$N film is 2.1eV and $10^{-16}$ ~$10^{-15}$ $\textrm{cm}^2$/s, respectively. $_Ti{1-x}$ /$Al_{x}$ XN barrier layer showed good oxidation resistance.

MPS eutectic reaction model development for severe accident phenomenon simulation

  • Zhu, Yingzi;Xiong, Jinbiao;Yang, Yanhua
    • Nuclear Engineering and Technology
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    • v.53 no.3
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    • pp.833-841
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    • 2021
  • During the postulated severe accident of nuclear reactor, eutectic reaction leads to low-temperature melting of fuel cladding and early failure of core structure. In order to model eutectic melting with the moving particle semi-implicit (MPS) method, the eutectic reaction model is developed to simulate the eutectic reaction phenomenon. The coupling of mass diffusion and phase diagram is applied to calculate the eutectic reaction with the uniform temperature. A heat transfer formula is proposed based on the phase diagram to handle the heat release or absorption during the process of eutectic reaction, and it can combine with mass diffusion and phase diagram to describe the eutectic reaction with temperature variation. The heat transfer formula is verified by the one-dimensional melting simulations and the predicted interface position agrees well with the theoretical solution. In order to verify the eutectic reaction models, the eutectic reaction of uranium and iron in two semi-infinite domains is simulated, and the profile of solid thickness decrease over time follows the parabolic law. The modified MPS method is applied to calculate Transient Reactor Test Facility (TREAT) experiment, the penetration rate in the simulations are agreeable with the experiment results. In addition, a hypothetical case based on the TREAT experiment is also conducted to validate the eutectic reaction with temperature variation, the results present continuity with the simulations of TREAT experiment. Thus the improved method is proved to be capable of simulating the eutectic reaction in the severe accident.

Interaction Behavior between Lanthanide Element and Ferritic-Martensitic Steel (란탄족 원소와 Ferritic-Martensitic 강의 반응 거동)

  • Kim, Jun Hwan;Baek, Jong Hyuk;Lee, Byoung Oon;Lee, Chan Bock;Yoon, Young Soo
    • Korean Journal of Metals and Materials
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    • v.48 no.8
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    • pp.691-698
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    • 2010
  • A study has been carried out to evaluate the interaction behavior between a lanthanide element and clad material in order to analyze the effect of the lanthanide element on the fuel cladding chemical interaction (FCCI). A diffusion couple test between Misch metal (70Ce-30La) and ferritic-martensitic steel (Gr.92) was performed at $660^{\circ}C$, followed by a microstructural analysis of the coupled sample. The results showed that Ce in the Misch metal, rather than La, reacted with the ferritic-martensitic steel (FMS) to form an interaction layer that penetrated the clad thickness. Fe diffused outside the clad interface to form an $Fe_2Ce$ compound, leaving a depletion of Fe caused by excess diffusion as well as by the formation of Cr-rich precipitation inside the interaction layer. The rate of growth followed the cubic rate law, which indicated that Fe depletion was caused by the diffusion of Fe and that the associated Cr-rich phase formation controlled the whole diffusion process.

Unfair Contractual Clauses for the Transfer of Technology (국제기술이전계약상(國際技術移轉契約上)의 부공정조항(不公正條項)에 관한 연구(硏究))

  • Seo, Jung-Doo
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.12
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    • pp.107-132
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    • 1999
  • The technology transfer agreements, which transfer technology from industrialized countries to developing countries, are subjected to control and restrictions in many developing countries in order to protect national interests. The licensors endeavour, therefore, to ensure that their activities fit satisfactorily into the technological policies and plans of the host countries, and contribute to the development of national scientific and technological potential, including the establishment and improvement in host countries of their capacity to innovate. Secondly, the licensors adopt in the course of their business activities practices which permit the rapid diffusion of technologies with due regard to the protection of industrial and intellectual property rights. Thirdly, the licensors endeavour to grant licenses for the use of industrial property rights or to otherwise transfer technology on reasonable terms and conditions.

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2D random walk와 세포 확산 비교 연구

  • Gwon, Tae-Jin
    • Proceeding of EDISON Challenge
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    • 2015.03a
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    • pp.53-60
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    • 2015
  • 본 연구에서는 random walk하는 입자와 암세포 확산을 비교하여 Fick's law를 따르는 확산 모형과 암세포 확산의 차이를 밝힌다. 암세포 확산은 암 전이 메커니즘을 이해하는데 매우 중요하다. 하지만 아직까지 암세포 확산은 정확하게 이해되지 않고 있다. 따라서 이번 연구에서는 가장 간단한 2차원 random walk와 암세포 확산을 비교하고, 동역학적인 차이를 규명해 암세포 확산을 이해하고자 한다. Random walk하는 입자는 EDISON 전산화학 전문센터의 프로그램 중 dynamic Monte Carlo(dynamic MC) 전산 모사 소프트웨어를 이용하여 2차원에서 움직이는 레나드-존스 입자의 운동을 통해 살펴보았다. 암세포 확산은 실제 암세포의 시간에 따른 위치 변화 정보 (세포의 궤적)를 직접 구하여 분석하였다. Dynamic MC 결과는 Fickian 확산 모형을 잘 따르는 것을 평균 제곱 거리와 밀도 함수를 통해 확인할 수 있었다. 암세포 확산의 경우 평균 제곱 거리는 시간에 대해서 선형적으로 비례하지만 밀도 함수는 가우시안 형태로 나오지 않으며 Fick's law를 따르는 확산 모형과 다른 확산 형태를 보인다. 이러한 확산 형태는 암세포의 동역학적인 다양성 때문에 나타나며 각각의 암세포가 다른 운동성을 가지는 것에 기인하는 것으로 보인다.

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A Study on the Improvement of Korean Logistics Policies (우리나라 물류비 절감을 위한 물류정책의 효율성 제고방안에 관한 연구)

  • Park, Kwang-So;Yu, Kwang-Hyun
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.45
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    • pp.139-163
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    • 2010
  • Companies make a great effort for saving costs because a rise in logistics costs weaken trade companies competitive position in the international market. Therefore it is important for companies and government to enhance logistics competitive. This article focus on the logistics laws and policies to improvement companies competitiveness and save logistics costs. It has researched from the point of view rather government basis than company basis. Korean Logistics policies have some fundamental problems that the law and policies are spreaded to several administrations such as, Ministry of Knowledge Economy, Ministry of Land, Transport and Maritime Affairs etc. We propose the solutions as follows; First of all, we review the laws and policies on logistics and point out the problems. Second, setting up the principle of Korean Logistics Policies according to the changes in international logistics paradigm and circumstances. Third, adjustment of systems and tasks of administrations related to logistics. Fourth, innovation plan for logistics policies. The plan can carry out two ways demonstration business and diffusion business in order.

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