• Title/Summary/Keyword: Equilibrium calculations

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Fundamental Studies on the Equilibrium and Kinetics for the fractional Distillation Reaction of Waste Organic Solvent (폐용제 분별증류 회수 반응의 평형 및 속도론적 기초연구)

  • Noh Hyun-Sook;Kim Dong-Su
    • Resources Recycling
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    • v.11 no.6
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    • pp.38-46
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    • 2002
  • Fundamental investigations were conducted far the recovery process of waste organic solvent by fractional distillation in the aspects of equilibrium and kinetics. Mixture of toluene and xylene, which were both being used in the largest amount as industrial organic solvent, was taken as the artificial waste organic solvent and their distillation behaviors were studied. The purity of recovered solvent was investigated by Cir Chromatography and shown to be in the range of 94~98%. Based upon equilibrium calculations, the changes in the Gibbs free energy, standard enthalpy, and standard entropy for distillation reaction have been estimated. The standard enthalpy changes for toluene and xylene were shown to be 44.833 and 47.044 kJ $mol^{-1}$ respectively, which were similar to their molar heats of evaporation. The activation energies of distillation fur toluene and xylene obtained from kinetic studies were 3.281 and 2.699 kJ $mol^{-1}$ and they were about one tenths of the standard enthalpy changes of distillation reaction. The highness of the purity of recovered organic solvents suggested the possibility that the recovered waste organic sol-vent could partly replace the original solvent.

2-Dimensional Equilibrium Analysis and Stability Analysis of Geotextile Tube by Hydraulic Model Test (지오텍스타일 튜브의 2차원 평형해석 및 수리모형시험을 통한 안전성 분석)

  • 신은철;오영인
    • Journal of the Korean Geotechnical Society
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    • v.18 no.5
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    • pp.251-260
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    • 2002
  • Geotextile tribes are made of sewn geotextile sheet and hydraulically or mechanically filled with dredged materials. They have been applied in hydraulic and coastal engineering in recent years(shore protection structure, detached breakwater, groins, and jetty). Therefore, it is composed of geotextile and confined fill material. Recently, new preliminary design criteria supported by model and prototype tests, and some stability analysis calculations have been studied. The stability analysis of geotextile tube is composed of geotechnical and hydrodynamic analysis. The stability check points are sliding failure, overturning, bearing capacity failure against the wave attack. In this paper are presented the stability analysis method by empirical equation and 2-D equilibrium analysis for geotextile tube. Also, the hydraulic model tests were performed to verify the theoretical stability analysis with geotextile tube shape, filling ratio, significant wave height, and so on. The results of this study show that the stability of geotextile tube depends on the tube shape, contact area, projection area. The theoretical analysis and hydraulic model test show almost the same results.

An analytical technique for estimation of seismic displacements in reinforced slopes based on horizontal slices method (HSM)

  • Ghanbari, Ali;Khalilpasha, Abbas;Sabermahani, Mohsen;Heydari, Babak
    • Geomechanics and Engineering
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    • v.5 no.2
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    • pp.143-164
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    • 2013
  • Calculation of seismic displacements in reinforced slopes plays a crucial role in appropriate design of these structures however current analytical methods result indifferent values for permanent displacements of the slope. In this paper, based on limit equilibrium and using the horizontal slices method, a new formulation has been proposed for estimating the seismic displacements of a reinforced slope under earthquake records. In this method, failure wedge is divided into a number of horizontal slices. Assuming linear variations for tensile forces of reinforcements along the height of the slope, the coefficient of yield acceleration has been estimated. The simplicity of calculations and taking into account the frequency content of input triggers are among the advantages of the present formulation. Comparison of the results shows that the yield acceleration calculated by the suggested method is very close to the values resulted from other techniques. On the other hand, while there is a significant difference between permanent displacements, the values obtained from the suggested method place somehow between those calculated by the other techniques.

Determination of hey Fuel Ratio According to Fuel Composition (IV) - Overall Estimation of Methods- (연료 조성에 따른 공연비 산정 (IV) - 공연비 계산방식의 평가-)

  • Park Chanjun;Ohm Inyong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.10
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    • pp.1155-1162
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    • 2004
  • This paper is the forth paper of several companion papers which compare the method of Air-Fuel ratio determination. In the previous work, various AFR calculations were performed for various fuels and the results were compared with each other. The comparison, however, were limited to numerical value and estimation of each equation or method was insufficient. In this paper, the overall estimation of the methods was attempted. Also, the method of trouble shooting of instrumentation was presented. Through the estimation of methods, it is concluded that the Eltinge method contains inherently the most perfect thermal dissociation model as far as the exhaust composition is concerned; therefore, this might be regarded as the most general equation of AFR determination among the existing ones. The others might be considered as approximate form. In addition, the mal-distribution factor in Eltinge method is qualitatively equivalent to thermal dissociation chemical equilibrium constant K. Lastly, it is illustrated that all instrumentation error, including the sampling line leakage, can be easily detected through the analyzing the exhaust component on the Eltinge chart.

Thermal Wave Transfer and Combustion Response of Droplet Perturbed by Acoustic Pressure (압력파에 교란된 액적내부에서의 에너지 파동 및 반응 메커니즘)

  • Lee Cilyong;Yoon Woongsub
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • v.y2005m4
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    • pp.183-188
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    • 2005
  • This study targets to investigate thermal wave transfer in a droplet strongly coupled with acoustic pressure and its effects on combustion response. The one-dimensional vaporization model uses SRK equation of state and flash calculation method to obtain more accurate thermophysical properties and compute vapor-liquid equilibrium. Calculations of an n-pentane droplet exposed into a perturbing nitrogen gas is carried out in terms of different ambient gas pressures and wave frequencies. The thermal wave is transferred more effectively at lower frequencies, which results in the decrease in the amplitude of the response.

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Determination of Contact Area of Cylindrical Nanowire using MD Simulation (MD 시뮬레이션을 이용한 실린더 형태 나노와이어의 접촉면적에 관한 연구)

  • Kim, Hyun-Joon
    • Tribology and Lubricants
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    • v.32 no.1
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    • pp.9-17
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    • 2016
  • Contact between solid surfaces is one of the most important factors that influence dynamic behavior in micro/nanoscale. Although numerous theories and experimental results on contact behavior have been proposed, a thorough investigation for nanomaterials is still not available owing to technical difficulties. Therefore, molecular dynamics simulation was performed to investigate the contact behavior of nanomaterials, and the application of conventional contact theories to nanoscale was assessed in this work. Particularly, the contact characteristics of cylindrical nanowires were examined via simulation and contact theories. For theoretical analysis, various contact models were utilized and work of adhesion, Hamaker constant and elastic modulus those are required for calculation of the models were obtained from both indentation simulation and tensile simulation. The contact area of the cylindrical nanowire was assessed directly through molecular dynamics simulation and compared with the results obtained from the theories. Determination of the contact area of the nanowires was carried out via simulation by counting each atom, which is within the equilibrium length. The results of the simulation and theoretical calculations were compared, and it was estimated that the discrepancy in the results calculated between the simulation and the theories was less than 10 except in the case of the smallest nanowires. As the result, it was revealed that contact models can be effectively utilized to assess the contact area of nanomaterials.

A Study on the Optimization of Process for Ethanol Dehydration Azeotropic Distillation (에탄올 탈수 공비 증류공정 최적화에 대한 연구)

  • Cho, Jungho;Jeon, Jongki
    • Korean Chemical Engineering Research
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    • v.43 no.4
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    • pp.474-481
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    • 2005
  • In this study, modeling and optimization work were performed to obtain nearly pure anhydrous ethanol from aqueous ethanol mixtures using benzene as an entrainer. NRTL liquid activity coefficient model was adopted for phase equilibrium calculations and PRO/II with PROVISION 6.01, a commercial process simulator, was used to simulate the azeotropic distillation process. We used the total reboiler heat duties as an objective function and the concentration of ethanol at concentrator top as a manipulated variable. As a result, 76 mole percent of ethanol at concentrator top gave an optimum value which minimized the total reboiler heat duties of three distillation columns.

A Study on the Dynamic Behavior of Cable-Stayed Bridge Considering Geometric Nonlinearity of Cables (케이블의 기하학적 비선형성을 고려한 사장교의 동적거동에 관한 연구)

  • Park, Young Suk;Chung, Si Youn;Lee, Myong Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.4
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    • pp.15-25
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    • 1989
  • This paper presents the results of the numerical analysis on the behavior of cable-stayed bridge considering geometric nonlinearity of cables. Finite element method is used and geometric nonlinearities are considered on the analysis of cable-stayed bridge. The governing equilibrium equations are derived by the principle of virtual work, and modified Newton-Raphson method and Newmark-${\beta}$ method are employed in response calculations. The validity of this study is demonstrated by comparing the examples with analytical results by other method and testing results.

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A Study on the Behaviour of Mooring System for Guyed Tower (Guyed Tower의 계류시스템에 관한 연구)

  • Park, Young Suk;Lee, Myong Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.1
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    • pp.11-23
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    • 1989
  • This paper presents the results of the numerical analysis on the behaviour of mooring system of offshore guyed tower. Finite element method is used and geometric nonlinearities are considered in the analysis of mooring line. The governing equilibrium equations are derived by the principle of virtual work, and modified Newton-Raphson method and Newmark-${\beta}$ method are employed in response calculations. The drag and inertia effects of fluid are included using a Morrison type equation. The influences of changing typical parameters like initial inclination and tension of line at the guy attachment point, the length of clump weight, its unit weight and the anchor line length are examined. The effects of idealising the clump weight as a point load(lumped clump weight) on the behaviour of mooring lines are also discussed. Numerical examples demonstrate the validity and capability of the mathematical formulation.

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Analytical solution to the conduction-dominated solidification of a binary mixture (열전도에 의해 지배되는 이성분혼합물의 응고문제에 대한 해석해)

  • Jeong, Jae-Dong;Yu, Ho-Seon;No, Seung-Tak;Lee, Jun-Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.11
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    • pp.3655-3665
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    • 1996
  • An analytical solution is presented for the conduction-dominated solidification of a binary mixture in a semi-infinite medium. The present approach differs from that of other solution by these four characteristics. (1) Solid fraction is determined from the phase diagram, (2) thermophysical properties in mushy zone are weighted according to the local solid fraction, (3) non-equilibrium solidification can be simulated and (4) the cooling condition of under-eutectic temperature can be simulated. Up to now, almost all analyses are based on the assumption of constant properties in mushy zone and solid fraction linearly with temperature or length. The validation for these assumptions, however, shows that serious error is found except some special cases. The influence of microscopic model on the macroscopic temperature profile is very small and can be ignored. But the solid fraction and average solid concentration which directly influence the quality of materials are drastically changed by the microscopic models. An approximate solution using the method of weighted residuals is also introduced and shows good agreement with the analytical solution. All calculations are performed for NH$_{4}$Cl-H$_{2}$O and Al-Cu system.