• 제목/요약/키워드: Phase equilibrium

검색결과 595건 처리시간 0.033초

THREE-DIMENSIONAL NUMERICAL SIMULATIONS OF A PHASE-FIELD MODEL FOR ANISOTROPIC INTERFACIAL ENERGY

  • Kim, Jun-Seok
    • 대한수학회논문집
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    • 제22권3호
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    • pp.453-464
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    • 2007
  • A computationally efficient numerical scheme is presented for the phase-field model of two-phase systems for anisotropic interfacial energy. The scheme is solved by using a nonlinear multigrid method. When the coefficient for the anisotropic interfacial energy is sufficiently high, the interface of the system shows corners or missing crystallographic orientations. Numerical simulations with high and low anisotropic coefficients show excellent agreement with exact equilibrium shapes. We also present spinodal decomposition, which shows the robustness of the pro-posed scheme.

폴리술폰/NMP/물 계의 고화 현상에 관한 연구 (Vitrification Phenomena in Polysulfone/NMP/water system)

  • 김제영;백기전;김성철;이환광
    • 한국막학회:학술대회논문집
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    • 한국막학회 1998년도 춘계 총회 및 학술발표회
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    • pp.53-55
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    • 1998
  • 1. INTRODUCTION : Since the knowledge of vitrification phenomena can lead to a better understanding of the mechanism of membrane formation, it is desirable to include vitrification line into the phase diagrams. While the final morphology obtained during phase inversion depends upon the kinetics as well as the thermodynamics of the phase separation, the equilibrium phase diagram and vitrification line for amorphous polymers are still a good tool for controlling the morphology and interpreting the membrane structure.

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A Study on Thermodynamic Properties of Ethylene Gas Hydrate

  • Lim, Gye-Gyu
    • Journal of Korean Society for Atmospheric Environment
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    • 제23권E1호
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    • pp.10-15
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    • 2007
  • The gas hydrates are probably most sensitive to climate change since they are stable only under specific conditions of high pressure and low temperature. One of the main factors responsible for formation of gas hydrates is the saturation of the gases with water vapor. Quantitative phase equilibrium data and understanding of the roles of water component in the phase behavior of the heterogeneous water-hydrocarbon-hydrate mixture are of importance and of engineering value. In this study, the water content of ethylene gas in equilibrium with hydrate and water phases were analyzed by theoretical and experimental methods at temperatures between 274.15 up to 291.75 K and pressures between 593.99 to 8,443.18 kPa. The experimental and theoretical enhancement factors (EF) for the water content of ethylene gas and the fugacity coefficients of water and ethylene in gas phase were determined and compared with each other over the entire range of pressure carried out in this experiment. In order to get the theoretical enhancement factors, the modified Redlich-Kwong equation of state was used. The Peng-Robinson equations and modified Redlich-Kwong equations of state were used to get the fugacity coefficients for ethylene and water in the gas phase. The results predicted by both equations agree very well with the experimental values for the fugacity coefficients of the compressed ethylene gas containing small amount of water, whereas, those of water vapor do not in the ethylene rich gas at high temperature for hydrate formation locus.

STD11 공구강의 열처리 온도에 따른 탄화물 거동 (Carbide Behavior in STD11 Tool Steel during Heat Treatment)

  • 홍기정;송진화;정인상
    • 열처리공학회지
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    • 제24권5호
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    • pp.262-270
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    • 2011
  • Carbide precipitation and dissolution behavior at various temperatures during heat treatment has been studied in STD11 cold working die steel through confocal scanning laser microscopy; dilatometry; and X-ray diffraction analysis. The equilibrium phase diagram and phase fractions with temperature were calculated using a FactSage program. Confocal laser microscopic observation revealed that ${\alpha}$ to ${\gamma}$ transformation temperature is near $800^{\circ}C$; M7C3 carbides melt at $1245^{\circ}C$; and the melting temperature of STD11 is near $1370^{\circ}C$. XRD results indicated that the M23C6 carbides dissolve in the matrix if austenitized at over $1030^{\circ}C$; while the M7C3 carbides remain up to $1200^{\circ}C$ although their amount decreases. The calculated equilibrium phase diagram showed good agreement with experimental results on carbide dissolution and phase transformation temperatures.

PR 및 PC-SAFT 상태방정식을 이용한 메탄과 에탄의 기상과 액상의 밀도 추산 및 이성분계의 기-액 상평형 계산 (Estimation of Density of Methane and Ethane and Vapor-Liquid Equilibrium Predictions for Methane-Ethane Binary System Using PR and PC-SAFT Equations of State)

  • 박종기;최건형;이상규;양영명;조정호
    • 한국가스학회지
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    • 제14권2호
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    • pp.22-26
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    • 2010
  • 본 연구에서는 PC-SAFT 모델식을 활용하여 메탄과 에탄의 온도에 따른 증기압과 기상 및 액상에서의 밀도를 추산하였으며, 그 결과를 PR 상태방정식과 비교하였다. 기상의 밀도에 대해서는 두 모델이 모두 실험 데이터를 잘 추산하였으며, 액상의 밀도에 대해서는 PR 상태방정식보다 PC-SAFT 모델식이 좀 더 정확함을 알 수 있었다. 한편 메탄과 에탄 이성분계에 대한 기-액 상평형 실험 데이터에 대해서 두 모델식을 이용하여 추산하였는데 PC-SAFT 모델식이 PR 상태방정식보다 좀 더 우수함을 알 수 있었다.

소각재 용융슬래그를 이용한 중금속 흡착특성에 관한 연구 (A Study on Adsorption Characteristics of the Heavy Metals using Melting Slag of Incinerator Ash)

  • 유승철;김환기
    • 상하수도학회지
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    • 제22권4호
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    • pp.413-420
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    • 2008
  • In order to utilize cinder melting slag as a filter media to control the quality of early rainwater, its environmental stability was verified by heavy metal elution experiment and improved by pre-treatment. Possibilities of improving its function as an absorbent was considered. Absorption characteristics of melting slag before and after the pre-treatment were analyzed by heavy metal equilibrium and stationary-phase column experiments, which in turn were analyzed by comparison experiment with activated carbon. As a result of heavy metal elution experiment, every metal item existed in a much lower amount than the criteria or was not detected, implying that there is no problem recycling it. Absorption equilibrium experiment showed that the time for pre-treatment melting slag to reach the equilibrium was reduced, while the absorbed amount was greatly increased. Stationary-phase column experiment assures us that the elimination rate was not changed much by influx rate, pH and the change in packing volume rate, indicating that this melting slag can be used not only as a filter media to control the quality of early rainwater but also in many areas of water-processing.

환경정책과 지역경제 : 상반관계 vs. 보완관계 (Environment Policy and Regional Economic Growth: Conflicting vs. Complementing)

  • 김홍배;윤갑식
    • 지역연구
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    • 제15권1호
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    • pp.63-73
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    • 1999
  • It is generally believed that there is a trade-off between economic growth and environmental quality since pollutants are generated in the process of production and consumption of commodities. Several researchers have shown this prevailing belief using the short-term input-output models. The literature, however, shows that there have been few attempts to investigate the relationship using long-term forecasting models. This motivates the current paper. This paper attempts to build a reginal growth model in a partial equilibrium framework taking into consideration the requirements of capital invested for pollutant abatement. Model is largely neoclassical. Labor is assumed to move a region with high utility specified in regional per capita average was income and pollution level while capital is partially mobile to a region with high returns. The regional growth is explored in a phase diagram. The paper shows that there are two stable growth equilibria which a region can converge over time and that the equilibria are distinguished by the initial threshold capital stock that a region holds. If the initial capital stock of a region is over(under) than the threshold size, the region converges to the higher (lower) growth equilibrium over time. Moreover, based on this result an environmental quality enhancing policy is analyzed in the phase diagram. It has revealed that the policy calls for the relocation of growth equilibrium points, specifically speaking, it stimulates an increase in labor stock and a decrease in capital stock. Hence the paper has suggested that the prevailing belief which the environmental policy negatively impacts on a regional economic growth is not always true.

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글리세롤계 계면활성제 합성 및 계면 특성에 관한 연구 (Synthesis and Characterization of Interfacial Properties of Glycerol Surfactant)

  • 임종주;이슬;김병조;이종기;최규용
    • 공업화학
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    • 제22권4호
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    • pp.376-383
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    • 2011
  • 글리시돌과 라우릴 알코올을 반응시켜 합성한 LA와 LA3 비이온계면활성제의 CMC는 각각 $0.97{\times}10^{-3}mol/L$, $1.02{\times}10^{-3}mol/L$이며, 1 wt% 농도에서의 표면장력은 26.99 mN/m과 27.48 mN/m이었다. 동적 표면장력 측정 결과에 의하면 LA와 LA3 비이온 계면활성제 모두, 공기와 수용액의 계면이 계면활성제 단분자에 의하여 비교적 짧은 시간 내에 포화되었으며, 1 wt% LA와 LA3 계면활성제 시스템들의 접촉각은 각각 27.8, $20.9^{\circ}$를 나타내었다. 비극성 오일 n-decane과 1 wt% 계면활성제 수용액 사이의 시간에 따른 계면장력은 시간에 따라 감소하며, LA와 LA3 시스템 모두 2~3 min 이내의 짧은 시간에 평형에 도달하였고, 평형에서의 계면장력 값은 각각 0.1524, 0.1716 mN/n을 나타내었다. $25^{\circ}C$에서의 계면활성제 수용액은 두 시스템 모두 비교적 안정한 상태를 유지하였고, LA 비이온 계면활성제가 LA3 비이온 계면활성제에 비하여 거품 안정성이 큼을 확인하였으며, 이러한 거품 안정성 측정 결과는 표면장력 측정 결과와도 일치하였다. 계면활성제, 물, 비극성 탄화수소 오일로 이루어진 3성분 시스템에 대하여 $25{\sim}60^{\circ}C$의 온도에서 상평형 실험을 수행한 결과, lower phase 마이크로에멀젼 혹은 oil in water (O/W) 마이크로에멀젼이 excess oil 상과 평형을 이루는 2상 영역만이 관찰되었을 뿐, lamellar liquid crystalline phase 혹은 middle-phase 마이크로에멀젼을 포함한 3상 영역은 나타나지 않았다.

비정질상인 Ti5Si3 MA분말의 가압소결 동안 소결체의 치밀화 촉진현상 요인에 대한 조사 (Investigation of Factors for Promoting Densification of the Sintered Compact during Pressurized Sintering of the Amorphous Ti5Si3 MA Powder)

  • 한창석;진성윤;권혁구
    • 한국재료학회지
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    • 제30권6호
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    • pp.301-307
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    • 2020
  • In this study, factors considered to be causes of promotion of densification of sintered pellets identified during phase change are reviewed. As a result, conclusions shown below are obtained for each factor. In order for MA powder to soften, a temperature of 1,000 K or higher is required. In order to confirm the temporary increase in density throughout the sintered pellet, the temperature rise due to heat during phase change was found not to have a significant effect. While examining the thermal expansion using the compressed powder, which stopped densification at a temperature below the MA powder itself, and the phase change temperature, no shrinkage phenomenon contributing to the promotion of densification is observed. The two types of powder made of Ti-silicide through heat treatment are densified only in the high temperature region of 1,000 K or more; it can be estimated that this is the effect of fine grain superplasticity. In the densification of the amorphous powder, the dependence of sintering pressure and the rate of temperature increase are shown. It is thought that the specific densification behavior identified during the phase change of the Ti-37.5 mol.%Si composition MA powder reviewed in this study is the result of the acceleration of the powder deformation by the phase change from non-equilibrium phase to equilibrium phase.

NUMERICAL INVESTIGATION OF INTERACTION BEHAVIOR BETWEEN CAVITATION BUBBLE AND SHOCK WAVE

  • Shin, Byeong-Rog;An, Young-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 학술대회
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    • pp.215-220
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    • 2008
  • A numerical method for gas-liquid two-phase flow is applied to solve shock-bubble interaction problems. The present method employs a finite-difference Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. By this method, a Riemann problem for shock tube was computed for validation. Then, shock-bubble interaction problems between cylindrical bubbles located in the liquid and incident liquid shock wave are computed.

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