• Title/Summary/Keyword: 확산방정식

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Study on the Numerical Analysis of Nuclear Reactor Kinetics Equations (원자로 동특성 방정식의 수치해석에 관한 연구)

  • Jae Choon Yang
    • Nuclear Engineering and Technology
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    • v.15 no.2
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    • pp.98-109
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    • 1983
  • A two-step alternating direction explicit method is developed to solve the space-dependent reactor kinetics equations in two space dimensions. As a special case in the general class of alternating direction implicit methods, this method is analysed for accuracy and stability. To test the validity of this method it is compared with the implicit-difference method used in the TWIGL program. It is shown that the two methods are closely related. The time dependent neutron fluxes of the pressurized water reactor (PWR), during control rod insertion, and, of the CANDU-PHW reactor, in case of postulated loss of coolant accident, are obtained from the numerical calculation results.

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Application of Multi-Muskingum for Improving Applicability of Distributed Hydrologic Model (분포형 수문모형 적용성 개선을 위한 Multi-Muskingum 적용)

  • Cho, Hyungon;Choi, Kyuhyun;Kim, Gwangseob
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.407-407
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    • 2017
  • 홍수 예측을 위한 분포형 수문모형의 유출해석에서 하도추적은 수리학적 하도 추적과 수문학적 하도 추적 방법이 있다. 수리학적 하도 추적은 운동파 방정식, 확산파 방정식 등을 이용하여 수리현상을 시간과 공간으로 편미분하여 홍수량 예측을 한다. 수리적 하도 추적은 시간적, 공간적 안정조건(stability condition)을 만족해야된다. 면적이 큰 유역에서 적용할 때에는 계산에 소요되는 시간이 크다. 그러므로 국지호우로 인한 돌방홍수 예 경보를 위해서는 준실시간 또는 실시간 홍수 감시 및 예측이 필요하므로 계산에 소요되는 시간이 큰 수리학적 하도추적을 이용한 홍수 예측은 한계를 가진다. 본 연구에서는 유역면적이 큰 유역의 준실시간 홍수 감시 및 예측을 위하여 수문학적 하도추적 기법은 하천차수별 저류상수를 적용한 multi-Muskingum방법을 개발하여 모의하였다. multi-Muskingum 적용한 결과 모의시간이 상당히 단축되었으며 자료동화 기법을 통하여 모형의 정확도를 개선하였다.

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A Study on the Transport of Soil Contaminant (A Development of FDM Model for 3-D Advection-Diffusion Equation with Decay Term) (토양 오염원의 이동에 관한 연구 (감쇠항이 있는 3차원 이송-확산 방정식의 수치모형 개발))

  • Kim, Sang-Jun
    • Journal of Korea Water Resources Association
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    • v.45 no.2
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    • pp.179-189
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    • 2012
  • To simulate the transport of pollutant, a numeric model for the advection-diffusion equation with the decay term is developed. This is finite-difference model using the implicit method (with the weight factor ${\alpha}$) and Gauss-Seidel SOR(successive over-relaxation). This model is compared to the analytical solutions (of simpler dimensional or boundary conditions), and in the condition of Peclet number < 5~20, the result shows stable condition, and Crank-Nicolson method (${\alpha}$=0.5) shows the more accurate results than fully-implicit method (${\alpha}$=1). The mass of advection, diffusion and decay is calculated and the error of mass balance is less than 3%. This model can evaluate the 3-D concentrations of the advection-diffusion and decay problems, but this model uses only the finite-difference method with the fixd grid system, so it can be effectively used in the problems with small Peclet numbers like the pollutant transport in groundwater.

Estimation of Cadmium, Copper, Lead Mobility in Column Packed with Furnace Slag (제강슬래그로 충전된 컬럼에서의 카드뮴, 구리, 납의 이동성 평가)

  • Lee, Gwang-Hun;Chung, Jae-Shik;Nam, Kyoung-Phile;Park, Jun-Boum
    • Journal of Soil and Groundwater Environment
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    • v.13 no.4
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    • pp.54-61
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    • 2008
  • Permeable reactive barriers (PRBs) technology has been focused in contaminated groundwater remediation. It is necessary to select adequate reactive material according to characteristics of contaminant in groundwater. In this research, the reaction between reactive material and heavy metal contaminants was estimated through column test. Reactive material was slag, which has been produced in Gwangyang power plant, and heavy metal contaminants were cadmium, lead and copper. Column test was performed in the condition of 1) single and multi contaminated solution and 2) different initial concentration of cadmium. Retardation factor of cadmium is 3.94 in multi contamination. But that of copper is 40.3 in single and 25 in multi. The difference of retardation between cadmium and copper is due to affinity, resulted from the difference of electronegativity. In multi-contamination, copper effluent concentration was above initial copper concentration and at the same time lead effluent concentration was decreased. This phenomenon was considered that lead extract copper sorbed in slag and then lead was sorbed to the vacant sorption site instead. And as the initial concentration was increased, the retardation factor of cadmium became decreased.

A Moisture Diffusivity Model of Hardening Concrete (경화하는 콘크리트의 수분확산도 모형)

  • Jeong, Jin-Hoon
    • International Journal of Highway Engineering
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    • v.7 no.1 s.23
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    • pp.31-38
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    • 2005
  • Concrete has higher vapor pressure than its surrounding ambient air immediately after placement. Moisture at concrete surface evaporates to the ambient air to adjust equilibrium of the vapor pressure between them. The moisture inside the concrete moves to the surface because the evaporation at the surface causes gradient of vapor pressure inside the concrete. Plastic cracking, degree of hydration, strength development, and others caused by velocity of the moisture movement significantly influences quality of concrete. In this paper, the moisture diffusivity of early-age concrete was back-calculated using governing equation of the moisture diffusion, and temperature and relative humidity of concrete measured in a laboratory. The moisture diffusivity of the concrete was modeled using the back-calculated moisture diffusivity. The relative humidity of the concrete calculated by finite element method (FEM) using the modeled moisture diffusivity as Input data coincided with the measured relative humidity well.

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Application of Laser Beam Deflection Technique to Analysis of Stresses Generated during Hydrogen Diffusion through Pd Foil Electrode

  • Han Jeong-Nam;Pyun Su-Il
    • Journal of the Korean Electrochemical Society
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    • v.4 no.2
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    • pp.70-76
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    • 2001
  • The present work describes the capabilities of laser beam deflection (LBD) technique for the analysis of the stresses developed during hydrogen diffusion through Pd foil electrode. First, we explain briefly the elasto-diffusive (Gorsky effect) and diffusion-elastic phenomena. A model for the diffusion-elastic phenomenon is theoretically derived from the solution of the Fick's equation for given initial and boundary conditions, Vegard's second law and Hooke's law. Second, we introduce how to apply the principle of LBD technique to the study on the stresses generated during hydrogen diffusion. From the comparison of the deflection transients numerically calculated with those experimentally measured, we finally discuss the change in the tensile deflection with time in terms of hydrogen concentration profile transient and hydrogen diffusivity.

Influence of smart factor's implementing energy management system on innovation resistance and performance (스마트팩토리의 에너지관리시스템 수용확산요인이 구성원의 혁신저항 및 업무성과에 미치는 영향)

  • Chu, Jin-Young;Lee, Dong-Hun
    • Journal of Digital Convergence
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    • v.16 no.1
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    • pp.103-116
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    • 2018
  • In this study, we investigated the influence of smart factory's implementing energy management system on innovation resistance and work performance. We surveyed and analyzed 211 employees of system construction companies in the metropolitan area. In order to increase the introduction performance through diffusion of the energy management system, it is found that it is important to support the organizational-level management strategy to reduce the user's resistance to innovation. In conclusion, this study has implications for positively leading to the efficiency and management performance of the manufacturing process of the manufacturing enterprises, and it is necessary to follow - up studies considering the characteristics of the energy management system and the expansion of the research scope in the future.

Exploring Determinants of Smartwatch Diffusion Using a Value Adoption Model (가치수용 모델을 활용한 스마트워치 확산 결정요인 분석)

  • Song, Geunhye;Park, Jong-Hyun;Lee, Seungmin
    • Journal of Korea Technology Innovation Society
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    • v.21 no.2
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    • pp.684-714
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    • 2018
  • Contrary to predictions, the market diffusion of smartwatch is proceeding slowly. Smartwatch companies should pursue new strategies to overcome this so-called chasm; however, little is known about smartwatch attributes valuable for target consumers. This study investigates beneficial and sacrificial features influencing overall perceived value of smartwatch, which in turn affects usage intention, and considers moderating effect of personal innovativeness. A total of 323 usable data were analysed using partial least squares. The results show that two benefits (utilitarian and hedonic) and three sacrifices (usability, performance, and finance) significantly impact on usage intention via perceived value. A significant effect of personal innovativeness as a moderator is also observed. Interestingly, the influence of social benefits on perceived value is not supported, which means strengthening image improvement strategies might not be appropriate for the diffusion. In order to overcome the chasm, suitable strategies should be used, and focusing on consumers who are highly innovative are strongly recommended.

Numerical Models for Atmospheric Diffusion Problems by Pseudospectral Method (1) - Atmospheric Diffusion Equations and Spectral Model - (의사스펙트로법에 의한 대기확산형상의 수치모델(1) - 대기확산방정식과 스펙트로모델 -)

  • 김선태;장영기
    • Journal of Korean Society for Atmospheric Environment
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    • v.7 no.3
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    • pp.189-196
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    • 1991
  • In recent years spectral methods have been found to be a powerful tool for the numerical solution of hynamic differential equations. The main attraction of spectral method is accuracy even though it is generally difficult to implement and solve the complex problems using spectral method. We introduced diffusion equations describing the state of air pollution and solved by pseutospectral method in dimensionless form. The results were compared with both those of other numerical methods and analytical solutions. Comparing with finite difference method and finite element method, spectral method shows the highest accuracy for one dimension problem in this study. Also, the results of two dimensional diffusion problems show good agreement with analytical solutions.

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An Analysis of Axisymmetric Two Dimensional Heat Diffusion Equation to Measure the Thermal Diffusivity of Layered Materials (積層材料의 熱擴散係數測定을 위한 軸對稱 二次元 熱擴散方程式의 解析)

  • 김진원;이흥주
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.349-356
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    • 1986
  • For the extension of application in flash method measuring the thermophysical properties of materials, the heat diffusion equation with the heat transfer loss from front, rear, and circumferential surfaces of two layer cylinderical sample is mathematically analyzed by means of Green's function for axially symmetric pulse heating on the front of samples. The solutions are applied to determine the unknown thermal diffusivity of the two materials and analyzed the measurement error due to heat loss and finite pulse time effects.