• Title/Summary/Keyword: diffusion flux

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저투수성 매체 내 오염물질의 정확산과 역확산: 경계조건에 따른 용질이동 해석해의 소개 (Forward and Back Diffusion from Low Permeability Zone: A Review of Analytical Solutions with Different Boundary Conditions)

  • 김창민;양민준
    • 자원환경지질
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    • 제53권1호
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    • pp.99-110
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    • 2020
  • 국외에서는 DNAPL오염부지 정화처리 과정에서 오염된 저투수성 매체를 주요 관리대상으로 고려하며, 저투수성 매체로부터 역확산하는 오염물질과 대수층 오염 지속성에 관한 연구가 활발히 진행되어 왔다. 그러나 국내 지하수 분야에서는 관련 연구가 미비한 실정이기 때문에, 본 논문은 저투수성 매체에서 오염물질의 정확산 및 역확산 현상을 소개하고 대표적인 연구사례를 통해 그 중요성을 제안하고자 한다. 본 논문에서는 저투수성 매체의 경계조건에 따른 6개의 정확산 및 역확산 시나리오와 각각의 시나리오에 사용된 해석해를 제시하였다. FI (forward diffusion into infinite domain)와 BI (back diffusion from infinite domain) 시나리오는 저투수성 매체의 깊이를 무한하게 가정한 경우, 정확산과 역확산 시나리오를 나타내며 과거 대다수의 저투수성 매체와 관련된 연구에서 사용되었다. 최근 연구에서는 저투수성 매체의 깊이를 유한하게 고려하고 있으며, 본 연구에서 사용한 유한 경계에서 정확산 시나리오는 FFN(forward diffusion into finite domain with no flux boundary), 역확산 시나리오는 BFN (back diffusion from finite domain with no flux boundary)이다. 또한 저투수성 매체 하부 경계를 통한 오염물질의 이동이 가능할 때 정확산 시나리오는 FFF (forward diffusion into finite domain with flux boundary), 역확산 시나리오는 BFF (back diffusion from finite domain with flux boundary)에 해당한다. 본 논문에서 제시한 시나리오와 해석해를 사용한 모델링은 저투수성 매체의 깊이 또는 오염 노출 기간 등의 현장 특성에 맞는 오염처리 공법을 선정하는데 기여할 수 있다. 또한 모델링 결과는 대수층의 정화 이후에도 역확산으로 발생하는 오염의 지속기간, 오염 정도 등의 정보를 제공함으로써 보다 효율적인 오염 정화처리에 기여할 것으로 사료된다.

비정렬 셀 중심 방법에서 확산플럭스의 새로운 수치근사방법 (A NEW NUMERICAL APPROXIMATION OF DIFFUSION FLUX IN UNSTRUCTURED CELL-CENTERED METHOD)

  • 명현국
    • 한국전산유체공학회지
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    • 제11권1호
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    • pp.8-15
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    • 2006
  • The existing approximations of diffusion flux in unstructured cell-centered finite volume methods are examined in detail with each other and clarified to have indefinite expressions in several respects. A new numerical approximation of diffusion flux at cell face center is then proposed, which is second-order accurate even on irregular grids and may be easily implemented in CFD code using cell-centered finite volume method with unstructured grids composed of arbitrary convex polyhedral shape.

Ranking and comparison of draw solutes in a forward osmosis process

  • Sudeeptha, G.;Thalla, Arun Kumar
    • Membrane and Water Treatment
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    • 제8권5호
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    • pp.411-421
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    • 2017
  • Forward osmosis (FO) is an emerging technology which can possibly make the desalination process more cost and energy efficient. One of the major factors impeding its growth is the lack of an appropriate draw solute. The present study deals with the identification of potential draw solutes, and rank them. The comparison was carried out among ten draw solutes on the basis of four main parameters namely; water flux, reverse salt diffusion, flux recovery and cost. Each draw solute was given three 24 hour runs; corresponding to three different concentrations; and their flux and reverse salt diffusion values were calculated. A fresh membrane was used every time except for the fourth time which was the flux recovery experiment conducted for the lowest concentration and the change of flux and reverse salt diffusion values from the initial run was noted. The organic solutes inspected were urea and tartaric acid which showed appreciable values in other parameters viz. reverse salt diffusion, flux recovery and cost although they generated a lower flux. They ranked 5th and 8th respectively. All the experimented draw solutes were ranked based on their values corresponding to each of the four main parameters chosen for comparison and Ammonium sulfate was found to be the best draw solute.

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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DIFFUSION PIECEWISE HOMOGENIZATION VIA FLUX DISCONTINUITY RATIOS

  • Sanchez, Richard;Dante, Giorgio;Zmijarevic, Igor
    • Nuclear Engineering and Technology
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    • 제45권6호
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    • pp.707-720
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    • 2013
  • We analyze piecewise homogenization with flux-weighted cross sections and preservation of averaged currents at the boundary of the homogenized domain. Introduction of a set of flux discontinuity ratios (FDR) that preserve reference interface currents leads to preservation of averaged region reaction rates and fluxes. We consider the class of numerical discretizations with one degree of freedom per volume and per surface and prove that when the homogenization and computing meshes are equal there is a unique solution for the FDRs which exactly preserve interface currents. For diffusion submeshing we introduce a Jacobian-Free Newton-Krylov method and for all cases considered obtain an 'exact' numerical solution (eight digits for the interface currents). The homogenization is completed by extending the familiar full assembly homogenization via flux discontinuity factors to the sides of regions laying on the boundary of the piecewise homogenized domain. Finally, for the familiar nodal discretization we numerically find that the FDRs obtained with no submesh (nearly at no cost) can be effectively used for whole-core diffusion calculations with submesh. This is not the case, however, for cell-centered finite differences.

Ussing's flux ratio theorem for nonlinear diffusive transport with chemical interactions

  • Bracken, A.J.;McNabb, A.;Suzuki, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.747-752
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    • 1994
  • Ussing's flux ratio theorem (1978) reflects a reciprocal relationship behavior between the unidirectional fluxes in asymmetric steady diffusion-convection in a membrane slab. This surprising result has led to many subsequent studies in a wide range of applications, in particular involving linear models of time dependent problems in biology and physiology. Ussing's theorem and its extensions are inherently linear in character. It is of considerable interest to ask to what extent these results apply, if at all, in situations involving, for example, nonlinear reaction. A physiologically interesting situation has been considered by Weisiger et at. (1989, 1991, 1992) and by McNabb et al. (1990, 1991) who studied the role of albumin in the transport of ligands across aqueous diffusion barriers in a liver membrane slab. The results are that there exist reciprocal relationships between unidirectional fluxes in the steady state, although albumin is chemically interacting in a nonlinear way of the diffusion processes. However, the results do not hold in general at early times. Since this type of study first started, it has been speculated about when and how the Ussing's flux ratio theorem fails in a general diffusion-convection-reaction system. In this paper we discuss the validity of Ussing-type theorems in time-dependent situations, and consider the limiting time behavior of a general nonlinear diffusion system with interaction.

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Franz Diffusion Cell을 이용한 인진호 함유 경피제의 피부투과 특성 연구 (Permeation Characteristics of Transdermal Preparations Containing Artemisiae Capillaris Herba in Franz Diffusion Cell)

  • 김은남;박교현;김배환;정길생
    • 생약학회지
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    • 제49권2호
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    • pp.165-171
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    • 2018
  • Artemisiae Capillaris Herba is a dried aerial part of Asteraceae capillaris Thunb.(Compositae), which has been used in Korean traditional medicine for the treatment of various diseases. It has a variety of pharmacological activities and has been evaluated for potential as an active ingredient in cosmeceutical products. In the cosmetics industry, animal experiments is besides the major concern of ethics, there are few more disadvantages of animal experimentation like demand of skilled manpower, time consuming protocols and high cost. Therefore, various alternatives to animal experiments have been proposed. The purpose of this study was to investigate the skin permeation characteristics of chlorogenic acid and dimethyleculetin, which are constituent of Artemisiae Capillaris Herba by using Franz diffusion cell. As a result, skin permeability was characterized by flux(penetration rates) and $K_p$(permeability coefficient) value, chlorogenic acid had lower flux and $K_p$ than dimethylesculetin. According to the definitions of Marzulli, chlorogenic acid and dimethylesculetin would be classified as 'Moderate' and 'Very fast' respectively. In conclusion, skin permeation characteristics of chlorogenic acid and dimethylesculetin were confirmed through Franz diffusion cell, and suggests the direction of alternative method for skin permeation of natural compounds.

Non-equilibrium Monte Carlo Simulations for Critical Flux of Hard Sphere Suspensions in Crossflow Filtration

  • Kim, Albert S.
    • 한국막학회:학술대회논문집
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    • 한국막학회 2008년도 춘계 총회 및 학술발표회
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    • pp.33-47
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    • 2008
  • Non-equilibrium (irreversible) themodynamics is used to investigate colloidal back-diffusion during crossflow membrane filtration. The chemical potential is generalized as a superposition of equilibrium and irreversible contributions, originating from Brownian and shear-induced diffusion, respectively. As a result, an effective drag force is derived using the irreversible thermodynamics for a particle undergoing both Brownian and shear-induced diffusion in a sheared concentrated suspension. Using the drag force, a hydrodynamic force bias Monte Carlo method is developed for crossflow membrane filtration to determine the critical flux of hard sphere suspensions. Effects of shear rate and particle size on the critical flux are studied, and results show a good agreement with experimental observations reported in the literature.

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Observational determination of the electron flux boundary conditions of the radiation belt as a function of solar wind condition

  • 이대영;신대규
    • 천문학회보
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    • 제37권2호
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    • pp.134.1-134.1
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    • 2012
  • The radiation belt structure can be approximately reproduced by a form of diffusion equation, which takes into account the radial diffusion process as well as those in pitch angle and energy. The solution of the equation depends on several factors including initial and boundary conditions, diffusion coefficients, and plasmapause location. In this paper, we have attempted to determine a set of approximate functions for the energetic electron fluxes near the outer edge of the outer belt in terms of solar wind variable. We used the electron flux data from SST onboard the THEMIS spacecraft and determined its correlation with solar wind conditions in a systematic way. The functions were determined separately for different energy channels from ~30 keV up to 719 keV. Our determination of these functions allows us to predict the radial boundary condition for the electron flux, which can be implemented in a forecast model.

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