• Title/Summary/Keyword: 확산법칙

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Analysis of Concentration Distribution and Diffusion Depth in Tinted Lenses Using the Law of Diffusion (확산법칙을 이용한 착색렌즈에서의 농도분포와 확산깊이의 분석)

  • Choi, Eun Jung;Lee, Sin Ui
    • Journal of Korean Ophthalmic Optics Society
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    • v.16 no.4
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    • pp.403-408
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    • 2011
  • Purpose: To study the concentration distribution and diffusion depth in tinted lenses using the law of diffusion. Methods: The measured values taken from experiments were fitted with the theoretical fitting curve induced on the basis of Fick's second law of diffusion. Results: The fitting curves were in very good agreement with the measured values. As the results, we found the quantitative relationship between mass of dye solution diffused into the tinted lens per unit area and dyeing time, and evaluated concentration distribution of dye in tinted lens, diffusion depth, etc. Conclusions: The dyeing mechanism of tinted lenses can be well described by diffusion theory.

Analysis of density diffusion analysis by Fick's laws in the human body (픽법에 의한 생체 내의 농도 확산 분석)

  • Che, Gyu-Shik
    • Journal of Advanced Navigation Technology
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    • v.16 no.4
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    • pp.657-664
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    • 2012
  • One of the methods to transmit solute through solvent is diffusion. Various particles or molecules including several charged ions in the body diffuse from high density region to low density due to density difference or external electric field. This kind of mechanism is due to thermal motion of each solute molecules. These situations can be deployed using Fick's first and second laws that govern diffusion phenomena in the body. I analysis these diffusion status of material in the body using above mentioned Fick's laws and then implement them through illustration.

고농도 용액에 침지시 감자 절편의 동력학적 탈수 모델링에 관한 연구

  • 최동원;신해헌
    • Proceedings of the Korean Journal of Food and Nutrition Conference
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    • 2000.12a
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    • pp.52.1-52
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    • 2000
  • 고분자 물질 용액에 감자 절편을 침지시의 탈수현상을 설명하기 위해 (1) 비정상 상태(unsteady state)에서의 확산 식을 초기시간에 대해 단순화시킨 모델, (2) 침지시간별로 수분확산계수와 평균확산계수를 비교하여 탈수현상을 설명하고자 한 모델, (3) 물질이동에 대한 Fick의 제2법칙을 무한평판의 조건에서 전체시간에 대해 전개한 모델 등 3가지 모델을 가정하여 검토한 결과 PEG용액에 감자절편을 침지했을 때 물질이동의 동력학적인 해석은 Fick의 제2법칙에 근거한 모델이 잘 적용되었으며 수분의 확산계수를 추정한 결과 8$\times$$10^{-7}$~4$\times$$10^{-6}$$cm^2$/s 범위였다.위였다.

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Diffusion of Cr(VI) in Porous Media (심층 지하에서의 육가 크롬 확산)

  • 현재혁
    • The Journal of Engineering Geology
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    • v.3 no.2
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    • pp.203-214
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    • 1993
  • Underground Injection Control regulations for Class I injection wells require that the vertical dufusion be considered as a mechanism for transport of contaninants in evaluating containment Due to the low permeability in the confining aquitard, the movement of contaminants over the long term is controlled by the molecular diffusion. The movement can be predicted, using the Fick' S second law of diffusion. The diffusion coefficient in Fick' s law has been determined experimentally in this study. Instantaneous injection of $^{51}Cr$ was used to trace the distribution of Cr(VI) in soil plugs and an analytical solution was applied to calculate the diffusion coefficients. This study shows the effect of environmental factors, such as temperature, chloride concentration, applied amount of $^{51}Cr$, and bulk density of injection formations on diffusion of Cr(VI)

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A Study of Hygroscopic Moisture Diffusion Analysis in Multimaterial System (이종 소재 접합체의 흡습 질량 확산 해석)

  • Kim, Yong-Yun
    • Journal of the Microelectronics and Packaging Society
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    • v.18 no.2
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    • pp.11-15
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    • 2011
  • Heat transfer equation is first reviewed and then governing equation of moisture diffusion. Analogy scheme is applied to analysis the moisture absorption problem of polymers. It make possible to numerically analyze the diffusion problem for single medium by using commercial finite element code if it is under the isothermal loading condition. It is extended to special multimaterial system by introducing pressure ratio function, whose moisture characteristics of materials are proportional to temperature only. The weight changes of silicon-nonconductive-polymer joint model due to moisture absorption is measured and been very close to the numerical results as for single media with boundary condition with zero concentration, but yields numerical errors as for multisystem media.

A Diffusion-based Model Theory of Passive-Targeted Drug Delivery in Solid Tumors (단단한 종양 안에 수동 조준된 약물의 전달에 관한 확산에 기초한 모델 이론)

  • Choi, Joon-Hyuck;Kang, Nam-Lyong;Choi, Sang-Don
    • Progress in Medical Physics
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    • v.18 no.3
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    • pp.161-166
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    • 2007
  • A model theory of passive-targeted drug delivery in sphere-shaped solid tumors is introduced on the basis of Fick's law of diffusion, with appropriate boundary and initial conditions. For a uniform initial concentration inside the tumor, the concentration is obtained as a function of time and radial position. The concentration is shown to approach the equilibrium distribution as the time elapses, as is expected by the Gedanken Experiment. The time-evolution rate is found to be determined by the diffusion coefficient of the drug in the tissue, the size of the tumor, the volume of the drug-injected region, and the concentration gradient at the boundary.

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Kinetic Modeling of Dewatering of Potato Slice When Soaked in Concentrated Solution (고농도 용액에 침지시 감자 절편의 동력학적 탈수 모델링에 관한 연구)

  • 최동원;신해헌
    • The Korean Journal of Food And Nutrition
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    • v.13 no.5
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    • pp.477-482
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    • 2000
  • For the purpose of explaining the dewatering phenomena of potato slice soaked in concentrated solution three models were proposed. Earlier model cannot explain the dewatering phenomena of potato slice in concentrated solution because of limiting its condition which is necessary to build a model. Therefore other three models were suggested and a model based on Fick\`s second law of mass transport at infinite plate conditions and numerical analysis was test model for explaining dewatering phenomena of potato soaked in concentrated solution. Apparent diffusion coefficient of water could be readily estimated from model III, and it could explain adequately the difference of the dewatering phenomena of various soaking conditions.

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Estimations of Moisture Profiles During Wood Drying Using an Unsteady-State Diffusion Model (II) - Experimental Verification for Red Oak - (비정상(非正常) 상태(狀態)의 확산(擴散)모델을 이용한 수분(水分) 경사(傾斜)의 예측(豫測) (II) - 실험적(實驗的) 검증(檢證) -)

  • Park, Jung-Hwan;Smith, William B.
    • Journal of the Korean Wood Science and Technology
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    • v.24 no.3
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    • pp.37-44
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    • 1996
  • 포수상태(包水狀態)의 루부라참나무(Quercus rubra) 시험편을 3가지 등온조건(等溫條件)에서 건조한 결과를 비정상상태(非正常狀態)의 확산(擴散)모델로 추정한 결과와 비교하였다. 표면이 충분히 젖은 상태인 건조초기에는 불안정(不安定)한 확산현상(擴散現象)이 관찰되었으나, 함수율(含水率)별 건조속도의 변이를 Fick's의 확산법칙과 비교할 때 유사한 형태를 보였다. 실험에서 얻은 건조조건별 건조곡선은 확산모델의 수치해석(數値解析) 결과와 거의 일치하였으며, 같은 평위함수율(平衛含水率) 조건에서 건조온도의 증가는 목재표면 보다 내부의 함수율 변화에 더 크게 영향하여 결과적으로 낮은 온도에서의 건조조건이 목재 내의 수분경사(水分傾斜)를 급하게 하는 것으로 밝혀졌다. 본 연구를 통해 목재 건조 중의 내부에 발생하는 수분경사를 추정하는데 비정상상태의 확산모델이 모든 함수율 범위에 걸쳐 유용하게 사용될 수 있음이 밝혀졌다.

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A Numerical Model for Cohesive Suspended Load Movement (점착성 부유사 이동에 관한 수치모형)

  • 안수한;이상화
    • Water for future
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    • v.23 no.1
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    • pp.119-127
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    • 1990
  • The concentration of cohesive suspended sediment is determined by the circulation of water and the material dispersion. The equations of the two-dimensional, depth-integrated dispersive transport are the Reynolds equation, continuity equation, and advection-dispersion equation based on the Fick's law. A finite difference method has been applied to two models of circulation and dispersion transport. The circulation model is solved by the explicit scheme and the dispersion transport model is solved by multi-operational scheme. It is investigated wheter advective terms are included when the equation of circulation is applied to the model. For advection-dispersion equation, it was also investigated about variations of suspended sediment concentration with respect to the critical shear stresses.

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Influence of Carbonation for Chloride Diffusion in Concrete (탄산화 복합환경시 염소이온 확산에 관한 연구)

  • Oh Byung-Hwan;Lee Sung-Kyu;Lee Myung-Kue;Jung Sang-Hwa
    • Journal of the Korea Concrete Institute
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    • v.17 no.2 s.86
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    • pp.179-189
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    • 2005
  • Corrosion of steel due to chloride attack is a major concern in reinforced concrete structures which are located in the marine environments. In this case, Fick's 2nd law has been used for the prediction of chloride diffusion related with service life of concrete structures. However, those studies were confined mostly to the single deterioration due to chloride only, although actual environment is rather of combined type. The purpose of the present study is, therefore, to explore the influences of carbonation to chloride attack in concrete structures and to investigate the validity of Fick's law to chloride attack combined carbonation. The test results indicate that the chloride ion profiles from Fick's law using the diffusion coefficient of immersion tests is not reflected the effect of separation of chloride ions in carbonation region but valid in sound region in case of combined action. On the other hand, the chloride ion profiles from Fick's law using the diffusion coefficient of Tang and Nilsson's method coincide with test results under dry-wet condition but not under combined condition. The results of present study may Imply that the new method for the measurement of diffusion coefficient is required to predict the chloride ion profiles in case of combined action at early.