• Title/Summary/Keyword: diffusion law

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Numerical Analysis of the Two-Dimensional Pollutant Dispersion Over Hilly Terrain (산지 내 오염물질 확산의 2차원 수치해석)

  • 김현구;이정묵
    • Journal of Korean Society for Atmospheric Environment
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    • v.13 no.5
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    • pp.383-396
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    • 1997
  • Numerical prediction of the pollutant dispersion over a two-dimensional hilly terrain is presented. The dispersion model used in the present work is based on the gradient diffusion theory and the finite-volume method on a non-orthogonal boundary-fitted grid system. The numerical model is validated by comparing the results with the available experimental data for the flat-floor dispersion within a turbulent boundary-layer. The numerical error analysis is performed based on the guideline of Kasibhatla et al.(1988) for the elevated-source dispersion in the flat-floor boundary layer having a power-law velocity and linear eddy-diffusivity profile. The influences of the two-dimensional hilly terrain on the dispersion from a continuously released source are numerically investigated by changing the emission locations and heights. It is found that the distributions of ground-level concentration are strongly influenced by the source location and the emission height. Hence, the terrain amplification factor is greatly enhanced when the pollutant source is located within a flow separation region. Dispersion from a source of short duration is also simulated and the duration time of the pollutant is compared at several downstream locations on a hilly terrain. The results of the numerical prediction are applied to the evaluation of environmental impacts due to the automobile exhausts at the seashore highway with a parallel mountain range.

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A Study on the Thermal Stability of Duplex High Mn-Steel Structure (고 망간강 2상 혼합조직의 열적 안정성에 관한 연구)

  • Wey, Myeong Yong
    • Journal of the Korean Society for Heat Treatment
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    • v.5 no.1
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    • pp.13-22
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    • 1992
  • The thermal stability of duplex high Mn-steel structure have been investigated using 15%Mn~1.0~2.4%C steels which are composed of ${\gamma}$-and ${\theta}$-phases in the range of temperature from 900 to $1100^{\circ}C$, and time from 50 to 300h. The results are as follows ; 1) The grain growth in single-phase region proceeds by grain boundary migration and the relation between mean radius $\bar{r}$ and annealing time t is described as follows ; $\bar{r}^2-{\bar{r}_0}^2=k_0{\cdot}t$ 2) The grain growth of duplex, (${\gamma}+{\theta}$), strucrure is slower than that single phase because the chemical composition of ${\gamma}$-and ${\theta}$-phases differs esch others. 3) The grain of (${\gamma}+{\theta}$) duplex structure grow slowly in a mode of Ostwald ripening. Because grain boundaries of ${\gamma}$-phase migrate under a restriction of pinning by ${\theta}$-phases. 4) In the duplex structures. the dispersed structures change to the dual-structures, as the volume fraction of the dispersed second-phase increase. Consequently, the growth-law, which is controlled by boundary-diffusion change to that of the volume diffusion-mechanism.

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Transition of Turbulent Kinetic Energy Through a Serial Unit of Straight-Duct, Contraction and Free-Jet (상류유동전개부, 수축부 및 자유분사류로 이어지는 유동장에서의 난류에너지 천이에 대한 연구)

  • 한용운;남경덕
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.12
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    • pp.2368-2375
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    • 1992
  • The transition of turbulent kinetic energy(TKE) balance along the centerline of the flow unit, which is composed of straight-duct, contraction and free-jet, has been investigated by the hot-wire anemometry. It is found that the mean turbulent kinetic energy is balanced by the dissipation in the internal flow region ; by the production and the dissipation, through contraction ; and by the dissipation, in initial region(X〈8D) of free-jet. But in the developing region (8D〈X〈20D) it is balanced by all of the three(ie, diffusion, production and dissipation). Finally, in the downstream of free-jet, the mean TKE is balanced again by dissipation like as the beginning. The decay-laws along the centerline are checked in the region of free jet as well as in the straightduct. After the developing region of free-jet also exist the decay-laws, the exponent of the axial turbulence being bigger than of the radial.

Research on the Polarization Effects of the Shandong Processing Trade and Strategy to Coordinate Its Development

  • Xiao, Dan Dan
    • Asian Journal of Business Environment
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    • v.3 no.2
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    • pp.17-22
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    • 2013
  • Purpose - This dissertation is based on previous research, and analyzes processing trade, which constitutes a major section of foreign trade in Shandong Province. Research design, data, and methodology - The study uses the survey data on polarization, which is a vital index reflecting the unbalanced growth of regional economic development. The article introduces the processing trade polarization index, and the processing trade polarization fluctuation rate, to predict the geographical polarization posture and development trends in Shandong Province. Results -The development of processing trade in Shandong Province shows the level of gradient from east to west. The first-line growth pole has been formed and developed, and the initial formation of the diffusion mechanism has taken place. However, coordination problems in accompanying regional development have become increasingly prominent. Conclusions - This study focuses on the development of processing trade strategy and suggests overall coordination of development objectives, using non-balanced development goals. According to regional characteristics and development objectives of the processing trade in Shandong Province, the region around the city is divided into innovation diffusion region, enhanced growth areas, areas expected to undertake development, and areas to upgrade in four levels, given the different policy proposals.

Wafer Level Bonding Technology for 3D Stacked IC (3D 적층 IC를 위한 웨이퍼 레벨 본딩 기술)

  • Cho, Young Hak;Kim, Sarah Eunkyung;Kim, Sungdong
    • Journal of the Microelectronics and Packaging Society
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    • v.20 no.1
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    • pp.7-13
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    • 2013
  • 3D stacked IC is one of the promising candidates which can keep Moore's law valid for next decades. IC can be stacked through various bonding technologies and they were reviewed in this report, for example, wafer direct bonding and atomic diffusion bonding, etc. As an effort to reduce the high temperature and pressure which were required for high bonding strength in conventional Cu-Cu thermo-compression bonding, surface activated bonding, solid liquid inter-diffusion and direct bonding interface technologies are actively being developed.

A Probability-Based Durability Analysis of Concrete Structures in Chloride Containing Environments (염해환경 콘크리트 구조물의 확률론적 내구성 해석)

  • Kwon, Ki-Jun;Kim, Dong-Baek;Jung, Sang-Hwa;Chae, Seong-Tae
    • Journal of the Korean Society of Safety
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    • v.22 no.3 s.81
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    • pp.51-56
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    • 2007
  • In recent years, many research works have been carried out in order to obtain a more controlled durability and long-term performance of concrete structures in chloride containing environments. In particular, the development of new procedures for probability-based durability analysis/design has proved to be very valuable. Although there is still a lack of relevant data, this approach has been successfully applied to some new concrete structures. In this paper, the equation used for modelling of the chloride penetration was based on Fick's Second Law of Diffusion in combination with a time dependent diffusion coefficient. The probability analysis of the durability performance was performed by use of a Monte Carlo Simulation. The procedure was applied to an example based on limited data gathered in this country. The influences of each parameter on the durability of concrete structures are studied and some comments for durability design are given. The new procedure may be very useful in designing an important concrete structures in chloride containing environments. Also it may help to predict the service life of concrete structures under a given probability of failure.

Service life prediction of chloride-corrosive concrete under fatigue load

  • Yang, Tao;Guan, Bowen;Liu, Guoqiang;Li, Jing;Pan, Yuanyuan;Jia, Yanshun;Zhao, Yongli
    • Advances in concrete construction
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    • v.8 no.1
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    • pp.55-64
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    • 2019
  • Chloride corrosion has become the main factor of reducing the service life of reinforced concrete structures. The object of this paper is to propose a theoretical model that predicts the service life of chloride-corrosive concrete under fatigue load. In the process of modeling, the concrete is divided into two parts, microcrack and matrix. Taking the variation of mcirocrack area caused by fatigue load into account, an equation of chloride diffusion coefficient under fatigue load is established, and then the predictive model is developed based on Fick's second law. This model has an analytic solution and is reasonable in comparison to previous studies. Finally, some factors (chloride diffusion coefficient, surface chloride concentration and fatigue parameter) are analyzed to further investigate this model. The results indicate: the time to pit-to-crack transition and time to crack growth should not be neglected when predicting service life of concrete in strong corrosive condition; the type of fatigue loads also has a great impact on lifetime of concrete. In generally, this model is convenient to predict service life of chloride-corrosive concrete with different water to cement ratio, under different corrosive condition and under different types of fatigue load.

Structural Characteristics by Nitridation of Oxygen Added Cr Thin Films in NH3 Atmosphere (산소가 첨가된 Cr 박막의 NH3 분위기에서의 질화 처리에 의한 구조적 특성)

  • Kim, Danbi;Kim, Seontai
    • Korean Journal of Materials Research
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    • v.31 no.11
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    • pp.635-641
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    • 2021
  • Cr thin films with O added are deposited on sapphire substrate by DC sputtering and are nitrided in NH3 atmosphere between 300 and 900 ℃ for various times. X-ray diffraction results show that nitridation begins at 500 ℃, forming CrN and Cr2N. Cr oxides of Cr2O3 are formed at 600 ℃. And, at temperatures higher than 900 ℃, the intermediate materials of Cr2N and Cr2O3 disappear and CrN is dominant. The atomic concentration ratios of Cr and O are 77% and 23%, respectively, over the entire thickness of as-deposited Cr thin film. In the sample nitrided at 600 ℃, a CrN layer in which O is substituted with N is formed from the surface to 90 nm, and the concentrations of Cr and N in the layer are 60% and 40%, respectively. For this reason, CrN and Cr2N are distributed in the CrN region, where O is substituted with N by nitridation, and Cr oxynitrides are formed in the region below this. The nitridation process is controlled by inter-diffusion of O and N and the parabolic growth law, with activation energy of 0.69 eV.

Studies on the Extraction Rate of Oil from Sardine, Sardinops melanosticta (정어리 지질의 추출속도에 관한 연구)

  • YANG Hyun-Seok;LEE Keun-Tai;BYUN Dae-Seok
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.17 no.1
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    • pp.40-46
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    • 1984
  • The extraction ratio of oil using solvent from the muscle of sardine, Sardinops melanosticta, was studied. The results were critically evaluated in the light of the theory of oil diffusion in a porous solid model. In addition the effect of temperature and moisture on the extraction rate was examined. Sardine muscle was prepared in a manner to meet the conditions required by the diffusion theory from Fick's law. The results of the model were well coincidenced to the theory derived from Fick's law. Diffusion constants at the direction to muscle fiber($D_1$) and at direction perpendicular to fiber($D_2=D_3$) when extracted at $45^{\circ}C$ were $8.16{\times}10^{-8}cm^2/sec\;and\;4.12{\times}10^{-8}cm^2/sec$, respectivly. The extraction rate was linearly propotional to absolute temperature(T) by eleventh power under the constant condition of moisture contents and muscle size. A comparison of the experiments with the highest($74.22\%$) and the lowest ($32.48\%$) moisture indicated that difference of $1\%$ in moisture contents caused to change the slope(K) of the extraction curve $0.53{\times}10^{-6}sec^{-1}$ approximately.

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Two-Dimensional Numerical Simulation of GaAs MESFET Using Control Volume Formulation Method (Control Volume Formulation Method를 사용한 GaAs MESFET의 2차원 수치해석)

  • Son, Sang-Hee;Park, Kwang-Mean;Park, Hyung-Moo;Kim, Han-Gu;Kim, Hyeong-Rae;Park, Jang-Woo;Kwack, Kae-Dal
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.1
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    • pp.48-61
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    • 1989
  • In this paper, two-dimensional numerical simulation of GaAs MESFFT with 0.7${\mu}m$ gate length is perfomed. Drift-diffusion model which consider that mobility is a function of local electric field, is used. As a discretization method, instead of FDM (finite difference method) and FEM (finite element method), the Control-Volume Formulation (CVF) is used and as a numerical scheme current hybrid scheme or upwind scheme is replaced by power-law scheme which is very approximate to exponential scheme. In the process of numerical analysis, Peclet number which represents the velocity ratio of drift and diffusion, is introduced. And using this concept a current equation which consider numerical scheme at the interface of control volume, is proposed. The I-V characteristics using the model and numerical method has a good agreement with that of previous paper by others. Therefore, it is confined that it may be useful as a simulator for GaAs MESFET. Besides I-V characteristics, the mechanism of both velocity saturation in drift-diffusion model is described from the view of velocity and electric field distribution at the bottom of the channel. In addition, the relationship between the mechanism and position of dipole and drain current, are described.

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