• 제목/요약/키워드: Back Diffusion

검색결과 156건 처리시간 0.038초

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.

역확산을 고려한 이원합금의 비평형 수지상응고 해석 (Analysis on the non-equilibrium dendritic solidification of a binary alloy with back diffusion)

  • 정재동;유호선;이준식
    • 대한기계학회논문집B
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    • 제20권10호
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    • pp.3361-3370
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    • 1996
  • Micro-Macro approach is conducted for the mixture solidification to handle the closely linked phenomena of microscopic solute redistribution and macroscopic solidification behavior. For this purpose, present work combines the efficiency of mixture theory for macro part and the capability of microscopic analysis of two-phase model for micro part. The micro part of present study is verified by comparison with experiment of Al-4.9 mass% Cu alloy. The effect of back diffusion on the macroscopic variables such as temperature and liquid concentration, is appreciable. The effect, however, is considerable on the mixture concentration and eutectic fraction which are indices of macro and micro segregation, respectively. According to the diffusion time, the behavior near the cooling wall where relatively rapid solidification permits short solutal diffusion time, approaches Scheil equation limit and inner part approaches lever rule limit.

정밀여과에서 임계플럭스(Critical flux)에 관한 이론 및 실험적 고찰 (The Critical Flux in Microfiltration: Comparison between Theoretical and Experimental Values)

  • 윤성훈;이정학
    • 멤브레인
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    • 제7권3호
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    • pp.150-156
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    • 1997
  • 입자의 정밀여과에 있어 임계플럭스의 이론치를 계산하기 위해 확산(diffusion), 횡방향이동(lateral migration), 전단유도확산(shear induced diffusion), 그리고 입자의 정전기적 반발력에서 기인하는 상호작용에 의한 상승이동(interation enhanced migration) 등의 입자의 역전달 이동을 고려하였다. 보통의 여과조건에서 제타전위의 절대치가 20~40mV이고 직경이 0.1$\mu{m}$~10$\mu{m}$인 입자의 경우 상호작용에 의한 이동이 가장 중요한 역전달 메카니즘이었다. 입자크기에 따라 계산된 임계플럭스값을 실험적으로 확인하기 위해 다양한 크기를 갖는 구형인 적철광(hematite)입자를 합성하여 여과실험을 수행하였다. 이 실험치는 역전달 이론에 의해 예측된 플럭스의 이론치와 비교적 잘 일치하였다.

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선단과냉을 고려한 이원합금의 주상 수지상응고 모델 (A model for columnar-dendritic solidification of binary alloys accounting for dendrite tip undercooling)

  • 유호선
    • 대한기계학회논문집B
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    • 제22권5호
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    • pp.698-707
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    • 1998
  • A simplified model for predicting microsegregation during columnar-dendritic solidification of binary alloys is developed, in which back diffusion, dendrite arm coarsening and dendrite tip undercooling are simultaneously incorporated. The inclusion of tip undercooling is accomplished by modifying the initial conditions of the existing solute diffusion model, in such forms that tip undercooling depresses the beginning of solidification below the liquidus temperature, and that the secondary arm spacing evolves in accordance with the minimum undercooling theory. Sample calculations for the well-known benchmark system show that the present predictions not only consist with the extablished limiting cases, but also agree favorably with the available experimental data within a reasonable tolerance. In particular, a typical decreasing trend in the eutectic fraction at high cooling rates is successfully resolved. Comparison of the individual and combined effects of characteristic parameters in reference with the limiting cases reveals the interactions among parameters. Every parameter plays the role of reducing the eutectic fraction, and the degree of influence depends primarily on the cooling rate. Coarsening enhances the effect of tip undercooling, while suppressing that of back diffusion. A vigorous back diffusion seems to restrain the apperance of the undercooling effect. Overall, each contribution of the three parameters to microsegregation is estimated to be of the same order, which suffices to justify the present study.

An innovative method for determining the diffusion coefficient of product nuclide

  • Chen, Chih-Lung;Wang, Tsing-Hai
    • Nuclear Engineering and Technology
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    • 제49권5호
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    • pp.1019-1030
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    • 2017
  • Diffusion is a crucial mechanism that regulates the migration of radioactive nuclides. In this study, an innovative numerical method was developed to simultaneously calculate the diffusion coefficient of both parent and, afterward, series daughter nuclides in a sequentially reactive through-diffusion model. Two constructed scenarios, a serial reaction (RN_1 ${\rightarrow}$ RN_2 ${\rightarrow}$ RN_3) and a parallel reaction (RN_1 ${\rightarrow}$ RN_2A + RN_2B), were proposed and calculated for verification. First, the accuracy of the proposed three-member reaction equations was validated using several default numerical experiments. Second, by applying the validated numerical experimental concentration variation data, the as-determined diffusion coefficient of the product nuclide was observed to be identical to the default data. The results demonstrate the validity of the proposed method. The significance of the proposed numerical method will be particularly powerful in determining the diffusion coefficients of systems with extremely thin specimens, long periods of diffusion time, and parent nuclides with fast decay constants.

수지상가지의 조대화를 고려한 이원합금의 응고과정동안 용질 재분배 해석 (Analysis on the solute redistribution in coarsening dendrite arms during solidification of binary metal alloys)

  • 유호선
    • 대한기계학회논문집B
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    • 제20권4호
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    • pp.1437-1448
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    • 1996
  • This paper presents a simplified model for approximate analysis of the solute redistribution in coarsening dendrite arms during solidification of binary metal alloys. By introducing a quadratic concentration profile with a time-dependent coefficient, the integral equation for diffusion in the solid phase is reduced to a simple differential relation between the coefficient and the solid-liquid interface position. The solid fraction corresponding to the system temperature is readily determined from the relation, phase equilibrium and the overall solute balance in which the liquid phase is assumed to be completely mixed. In order to validate the developed model, calculations are performed for the directional solidification of Al-4.9 mass Cu alloy. The predicted eutectic fractions for a wide range of the cooling rate reasonably agree with data from the well-known experiment as well as sophisticated numerical analyses. Also, the results for the back diffusion limits are consistent with available references. Additional calculations show that the characteristic parameters such as the coarsening, density variation and nonlinarity in the phase diagram significantly affect the microsegregation. Owing to the simplicity, efficiency and compatibility, the present model may be suitable for the micro-macroscopic solidification model as a microscopic component.

합금의 방향성 주조에 대한 미시적-거시적 해석 (Micro-macroscopic analysis on the directional casting of a metal alloy)

  • 유호선
    • 대한기계학회논문집B
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    • 제21권10호
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    • pp.1303-1313
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    • 1997
  • A micro-macroscopic analysis on the conduction-controlled directional casting of Al-Cu alloys is performed, in which emphases are placed on the microstructural features. In order to facilitate the solution procedure, an iterative micro-macroscopic coupling algorithm is developed. The predicted results show that the effect of finite back diffusion on the transient solidification process in comparison with the lever rule depends essentially on the initial concentration of an alloy. In the final casting, the eutectic fraction is distributed in an increasing-decreasing-increasing pattern, each mode of which is named the chill, interior and end zones. This nonuniformity per se suffices to justify the necessity of this work because it originates from the combined effects of finite back diffusion and cooling path-dependent nature of the eutectic formation. As the cooling rate is enhanced, not only the influence depths of boundaries narrow, but also the eutectic fractions in the chill and interior zones increase. In addition, it is revealed for the first time that the micro segregation band is formed in response to a sudden change in cooling rate during the directional casting. An increasing change creates an overshooting band in the eutectic fraction distribution, and vice versa.

일정 전류에서 연료전지의 비정상 특성 (Transient Characteristics of Fuel Cell Stack at Continuous Current Discharge)

  • 박창권;정귀성;오병수
    • 한국수소및신에너지학회논문집
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    • 제14권3호
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    • pp.195-206
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    • 2003
  • Polymer electrolyte membrane fuel cells(PEMFC) are very interesting power source due to high power density, simple construction and operation at low temperature. But they have problems such as high cost, improvement of performance and effect of temperature. This problems can be approached using mathematical models which are useful tools for analysis and optimization of fuel cell performance and for heat and water management, in this paper, transient model consists of various energy terms associated with fuel cell operation using the mass and energy balance equation. And water transfer in the membrane is composed of back diffusion and electro-osmotic drag. The temperature calculated by transient model approximately agreed with the temperature measured by experiment in constant current condition.