• Title/Summary/Keyword: Equilibrium diagram

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Agglomeration (Dis-) Economies and Regional Economic Growth as a Spatial Economy (집적 (불)경제와 공간경제로서의 지역 경제 성장)

  • 김홍배;박재룡
    • Journal of the Korean Regional Science Association
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    • v.13 no.2
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    • pp.45-54
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    • 1997
  • A regional economy is characterized as a spatial economy. However the literature shows that it has been treated as a point economy since space is little recognized in regional modeling due to mathematical complication. This leads to the fact that regional model does not sufficiently represent regional characteristic. This paper attempts to construct a regional growth model in a partial equilibrium framework specifically taking into consideration land as a primary factor. The model is formulated largely neoclassical. Labor is assumed to move in response to differences in the wage rate, while capital is perfectly mobile across regions. The paper shows that two growth equilibrium points exist, one stable equilibrium point and the other unstable equilibrium point. The unstable growth equilibrium indicates the existence of minimum threshold that a region must overcome the minimum threshold to grow constantly. Consequently, directions of regional growth are characterized by two growth paths depending on the initial condition of a region. That is to say, a region below the minimum threshold is converging toward the lower stable equilibrium point over time. When a regional economy initially lies above the minimum threshold, it will grow forever. A regional economy is not thus necessarily converging a stationary is not thus necessarily converging a stationary equilibrium point through factor movement. Finally, the impacts of the presence of agglomeration economies and diseconomies are analyzed through the phase diagram. The paper also shows that agglomeration economies result in lowering the minimum threshold and in escalating the level of stable equilibrium However, when agglomeration diseconomies prevail, the results are opposite, i.e., rising the minimum threshold of growth and lowering the growth level of stable equilibrium.

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Formation of Metallic Nanoparticles Using Potential-pH Diagram (전위 - pH 도표를 이용한 금속 나노입자 형성)

  • Lee, Kyu Hwan
    • Journal of the Korean institute of surface engineering
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    • v.50 no.2
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    • pp.131-139
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    • 2017
  • This article introduces how to use potential-pH diagram for the formation of metallic nanoparticles, based upon the data obtained from the experiments. It is important to measure the values of equilibrium potentials of the reactions for the use of potential-pH diagram in aqueous and non-aqueous solutions. This article includes how to obtain the potential-pH diagrams in solutions containing particles and in non-aqueous solutions.

Stability of the Grain Configurations of Thin Films-a Model for Agglomeration (박막내 결정립 배열의 열적 불안정성1)-응집 모델)

  • Na, Jong-Ju;Park, Jung-Geun
    • 연구논문집
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    • s.27
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    • pp.183-200
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    • 1997
  • We have calculated the energy of three distinct grain configurations, namely completely connected, partially connected and unconnected configurations, evolving during a spheroidization of polycrystalline thin film by extending a geometrical model due to Miller et al. to the case of spheroidization at both the surface and film-substrate interface. "Stabilitl" diagram defining a stable region of each grain configuration has been established in terms of the ratio of grain size to film thickness vs. equilibrium wetting or dihedral angles at various interface energy conditions. The occurrence of spheroidization at the film-substrate interface significantly enlarges the stable region of unconnected grain configuration thereby greatly facilitating the occurrence of agglomeration. Complete separation of grain boundary is increasingly difficult with a reduction of equilibrium wetting angle. The condition for the occurrence of agglomeration differs depending on the equilibrium wetting or dihedral angles. The agglomeration occurs, at low equilibrium angles, via partially connected configuration containing stable holes centered at grain boundary vertices, whereas it occurs directly via completely connected configuration at large equilibrium angles except for the case having small surface and/or film-substrate interface energy. The initiation condition of agglomeration is defined by the equilibrium boundary condition between the partially connected and unconnected configurations for the former case, whereas it can, for the latter case, largely deviate from the equilibrium boundary condition between the completely connected and unconnected configurations because of the presence of a finite energy barrier to overcome to reach the unconnected grain configuration.

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NvBAT Treatment for AIDS Patients: The Superiority of PI Over RTI (AIDS환자 치료를 위한 NvBAT 치료기법: RTI에 대한 PI의 우수성)

  • Jo, Nam-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.10
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    • pp.1836-1843
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    • 2007
  • In this paper, we study the NvBAT treatment for AIDS patients that is combined with PI rather than RTI, while the Previous results have been focused on the NvBAT in conjuction with RTI. To this end, we obtain a bifurcation diagram which shows a change in the equilibrium points, and in their stability properties as the PI drug effect is varied. Based on the bifurcation diagram, we show that the NvBAT can be combined with drug PI for the treatment of AIDS patients. Various computer simulation results are included, which show the superiority of the NvBAT with PI over that with RTI. Accordition to simulation result, the NvBAT combined with PI is able to keep virus load level lower than that combined with RTI, which is crucial to avoid the emergence of drug-resistant mutants. Moreover, it is shown that, for some AIDS patients, NvBAT with RTI cannot make patients into long term non-progressor, while NvBAT with PI can.

Prediction of the Forming Limit Diagram for AZ31B Sheet at Elevated Temperatures Considering the Strain-rate Effect (변형률속도 효과를 고려한 AZ31B 판재의 온간 성형한계도 예측)

  • Choi, S.C.;Kim, H.J.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.172-175
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    • 2009
  • The purpose of this study is to predict the forming limit diagram (FLD) of strain-rate sensitive materials on the basis of the Marciniak and Kuczynski (M-K) theory. The strain-rate effect is taken into consideration in such a way that the stress-strain curves for various strain-rates are inputted into the formulation as point data, not as curve-fitted models such as power function. To solve the nonlinear system of equations derived from the equilibrium and constraints in the groove region and the safe zone, the Newton-Raphson method is used. The theoretical FLDs using four different yield criteria, that are von Mises, Hill (1948), Hill (1979), Logan and Hosford, are compared with the experimental, numerical (FEA) and other theoretical results. A new trial is made where a modified M-K model having n-step grooves is introduced to describe a real localized neck.

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Analytical Approach of Sliding Installation Method with Spar Structure

  • Lee, Jong-Hyun
    • Journal of Navigation and Port Research
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    • v.35 no.7
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    • pp.575-580
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    • 2011
  • It is important to understand the trajectory of structure in launching process because of the short time of launching process may result in unexpected accidents or damage to structures. The high risk of structural failure is not avoidable without the fully comprehension of changing forces in launching procedure. The commercial software can evaluate the motion of launching event in calm water condition but there is the limitation of research application because of the programmed commercial software. The launching process of the spar hull is suggested with stage concept that is divided into 10 stages in time domain. A force equilibrium diagram is derived for each stage where the changes of force vector and motion characteristics take place. In particular, the effects of changes in buoyancy and drag force due to the progressive submergence of the spar hull are taken into account by means of a touch length concept. The results contained in this paper provide the valuable information of the trajectory motion evaluation with suggested methods in spar launching process with sliding barge. Furthermore, the presented stage concept and touch length concept will provide basic knowledge for understanding launching process and help to develop further research area for launching analysis.

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

  • Hong, Ki-Jung;Song, Jin-Hwa;Chung, In-Sang
    • Journal of the Korean Society for Heat Treatment
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    • v.24 no.5
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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.

Comparison of Solvent Extraction of Iron(III) from Chloride Solution between Alamine336 and TBP by Using Extraction Isotherm (등온적출곡선(等溫摘出曲線)에 의한 염산용액(鹽酸溶液)에서 TBP와 Alamine336의 철 추출(抽出) 비교(比較))

  • Lee, Man-Seung;Kwak, Young-Ki
    • Resources Recycling
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    • v.17 no.3
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    • pp.29-34
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    • 2008
  • Solvent extraction behaviors of iron(III) from chloride solution at high ionic strength condition between Alamine336 and TBP were compared by using MaCabe-Thiele diagram. Extraction isotherms of iron by the two extractants were obtained by calculating the equilibrium concentrations of iron in both phases from the initial extraction conditions. In calculating the equilibrium concentration of iron, chemical equilibria in the aqueous phase and mass balance together with the solvent extraction reaction were considered. MaCabe-Thiele diagram of iron by 1M Alamine336 indicated that two extraction stages could lead to complete extraction of 0.5M iron from 3M HCl solution at an A/O ratio of 6/5. The extraction power of 1M Alamine336 was found to be the same as 2-3M TBP. MaCabe-Thiele diagram together with the physical properties of the two extractants indicated that Alamine336 is superior to TBP in extracting ferric iron from chloride solution.

Analysis of Problems in the Phase Diagram of the 2015 Revised Curriculum Chemistry II Textbook (2015 개정 교육과정 화학II 교과서의 상평형 그림에 대한 문제점 분석)

  • Youngha, Hwang;Seoung-Hey, Paik
    • Journal of the Korean Chemical Society
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    • v.67 no.1
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    • pp.54-63
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    • 2023
  • In this study, six types of 2015 revised curriculum ChemistryII textbooks were analyzed for conditions, definitions, whether or not critical points were displayed, and real-life examples of phase diagram. In this study, it was confirmed that the problems pointed out in several previous studies were not reflected in the 2015 revised curriculum ChemistryII textbook. The same as the situation defining the phase diagram, the translation of the phase diagram into a phase equilibrium diagram, the distinction between phase and state being unclear, the critical point not being shown in the phase diagram, real life examples are very limited what is being presented as is suggested as a problem. Therefore, it is necessary to reflect the results of various previous studies in the revised curriculum ChemistryII textbook that will be made in the future, specify the conditions under which the phase diagram is drawn, newly model the situation defining the phase diagram, and translate the phase diagram as a 'phase diagram'. It is necessary to use the term, clarify the distinction between phase and state, mark the critical point in the phase diagram, and develop various real-life examples.

Influence of Temperature on the Treatment Efficiency of Chlorinated Organic Substances in Groundwater by Permeable Reactive Barrier (염소계 유기화합물로 오염된 지하수의 반응성 투과 벽체 처리 효율에 대한 온도의 영향)

  • Kim, Sun-Hye;Kim, Eun-Zi;Kim, Dong-Su
    • Journal of Korean Society on Water Environment
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    • v.30 no.2
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    • pp.175-183
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    • 2014
  • The influence of temperature on the treatment efficiency of chlorinated organic substances contained in groundwater by permeable reactive barrier which is composed of $Fe^{\circ}$ has been investigated by constructing the Pourbaix diagrams for Fe-$H_2O$ system at different temperatures based on thermodynamic estimation. In aerobic condition, the equilibrium potentials for $Fe^{\circ}/Fe^{2+}$ and $Fe^{2+}/Fe^{3+}$ were observed to increase, therefore, the dechlorination reaction for organic pollutants by $Fe^{\circ}$ was considered to decline with temperature due to the diminished oxidation of reactive barrier. The result for the variations of the ionization fraction of $Fe^{2+}$ and $Fe^{3+}$ ion in the pH range of 0 ~ 2.5 obtained by employing Visual MINTEQ program showed that the ionization fraction of $Fe^{2+}$ increased with pH, however, that of $Fe^{3+}$ decreased symmetrically and the extent of the variation of ionization fraction for both ions was raised as temperature rises. The equilibrium pH for $Fe^{3+}/Fe(OH)_3$ was examined to decrease with temperature so that the treatment efficiency of chlorinated organic substance was expected to decrease with temperature due to the enhanced formation of passivating film in aerobic condition. The change of the reactivity of a specific chemical species with temperature was defined quantitatively based on the area of its stable region in Pourbaix diagram and depending on this the reactivity of $Fe^{3+}$ was shown to decrease with temperature, however, that of $Fe(OH)_3$ was decreased monotonously as temperature is raised for $Fe^{3+}/Fe(OH)_3$ equilibrium system. In anaerobic condition, the equilibrium potential for $Fe^{\circ}/Fe^{2+}$ was observed to rise and the equilibrium pH for $Fe^{2+}/Fe(OH)_2$ were examined to decrease as temperature increases, therefore, similar to that for aerobic condition the efficiency of the dechlorination reaction for organic substances was considered to be diminished when temperature rises because of the reduced oxidation of $Fe^{\circ}$ and increased formation of $Fe(OH)_2$ passivating film.