• Title/Summary/Keyword: Equilibrium species

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A MATHEMATICAL MODEL OF A PREY-PREDATOR TYPE FISHERY IN THE PRESENCE OF TOXICITY WITH FUZZY OPTIMAL HARVESTING

  • PAL, D.;MAHAPATRA, G.S.;MAHATO, S.K.;SAMANTA, G.P.
    • Journal of applied mathematics & informatics
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    • v.38 no.1_2
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    • pp.13-36
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    • 2020
  • In this paper, we have presented a multispecies prey-predator harvesting system based on Lotka-Voltera model with two competing species which are affected not only by harvesting but also by the presence of a predator, the third species. We also assume that the two competing fish species releases a toxic substance to each other. We derive the condition for global stability of the system using a suitable Lyapunov function. The possibility of existence of bionomic equilibrium is considered. The optimal harvest policy is studied and the solution is derived under imprecise inflation in fuzzy environment using Pontryagin's maximal principle. Finally some numerical examples are discussed to illustrate the model.

Thermal Behavior of the Nuclear Graphite Waste Generated from the Decommissioning of the Nuclear Research Reactor (연구로 해체시 발생되는 흑연폐기물의 열적 거동)

  • 양희철;은희철;이동규;조용준;강영애;이근우;오원진
    • Proceedings of the Korean Radioactive Waste Society Conference
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    • 2004.06a
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    • pp.105-114
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    • 2004
  • This study investigated the thermal behavior of the nuclear graphite waste generated from the decommissioning of the Korean nuclear research reactor, The first part study investigated the decomposition rate of the nuclear graphite waste up to $1000^{\circ}C$ under various oxygen partial pressures using a thermo-gravimetric analyzer (TGA). Tested graphite waste sample not easily destroyed in the oxygen-deficient condition. However, the gas-solid oxidation reaction was found to be very effective in the presence of oxygen. No significant amount of the product of incomplete combustion was formed even in the limited oxygen concentration of 4% $O_2$. The influence of temperature and oxygen partial pressure was evaluated by the theoretical model analysis of the thermo-gravimetric data. The activation energy and the reaction order of graphite oxidation were evaluated as 128 kJ/mole and 1.1, respectively. The second part of this study investigated the behavior of radioactive elements under graphite oxidation atmosphere using thermodynamic equilibrium model. $^{22}Na$, $^{134}Cs$ and $^{137}Cs$ were found be the semi-volatile elements. Since volatile uranium species can be formulated at high temperatures above $1050^{\circ}C$, the temperature of incinerator furnace should be minimized. Other corrosion/activation products, fission products and uranium were found to be the non-volatile species.

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Complexation of Co-contaminant Mixtures between Silver(I) and Polycyclic Aromatic Hydrocarbons

  • Yim, Soo-Bin
    • Journal of Environmental Science International
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    • v.12 no.8
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    • pp.871-879
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    • 2003
  • The complexation of co-contaminant mixtures between Ag(I) and polycyclic aromatic hydrocarbon (PAH) molecules (naphthalene, pyrene, and perylene) were investigated to quantify the equilibrium constants of their complexes and elucidate the interactions between Ag(I) and PAH molecules. The apparent solubilities of PAHs in aqueous solutions increased with increasing Ag(I) ion concentration. The values, K$_1$ and K$_2$ of equilibrium constants of complexes of Ag(I)-PAHs, were 2.990 and 0.378, 3.615 and 1.261, and 4.034 and 1.255, for naphthalene, pyrene, and perylene, respectively, The K$_1$and K$_2$ values of PAHs for Ag(I) increased in the order of naphthalene < pyrene < perylene and naphthalene < pyrene ≒ perylene, respectively, indicating that a larger size of PAH molecule is likely to have more a richer concentration of electrons on the plane surfaces which can lead to stronger complexes with the Ag(I) ion. For the species of Ag(I)-PAH complexes, a 1:1 Ag(I) : the aromatic complex, AgAr$\^$+/, was found to be a predominant species over a 2:1 Ag(I) : aromatic complex, Ag$_2$Ar$\^$++/. The PAH molecules with four or more aromatic rings and/or bay regions were observed to have slightly less affinity with the Ag(I) ion than expected, which might result from inhibiting forces such as the spread of aromatic $\pi$ electrons over o wide molecular surface area and the intermolecular electronic repulsion in bay regions.

Calculations of Equilibrium Species and Solution Combustion Process for Spray Combustion Synthesis (SCS) (분사연소합성(SCS)을 위한 평형종 계산과 용액연소공정)

  • ;;;;Gary L. Messing
    • Journal of the Korean Ceramic Society
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    • v.38 no.6
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    • pp.545-550
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    • 2001
  • 본 연구에서는 분사연소합성(SCS)을 위한 기초단계로서 용액연소합성에 대한 거동을 살펴보고자 알루미나 합성을 모델로 하였으며 이를 위해 전구체에 대한 열분해거동, 그리고 각 온도에서의 평형종 분압 계산 및 합성과정을 조사하였다. 각각의 열중량 분석(TGA) 결과 산화제와 환원제(연료)의 열분해 이력이 서로 다르게 나타났으며, 열역학 응용 프로그램인 ChemSag에 의한 평형종 분압의 계산에서 연소속도를 저하시킬 수 있는 $CO_2$와 수증기 가스 분압이 상당부분 존재하였다. 산화제/환원제 혼합물의 열분석(DTA/TG) 결과 산화제와 환원제의 열분해 거동의 차이, 그리고 매우 작은 시료의 양으로 인해 263$^{\circ}C$에서 발열피크가 매우 작게 나타났다. 열분석 시료에 비해 발열 에너지를 높이기 위해 산화제와 환원제 혼합 전구체를 비이커에서 증기압을 조절하며 가열시켜 본 결과 27$0^{\circ}C$에서 $\alpha$-Al$_2$O$_3$생성물을 얻을 수 있었다. 따라서 분사연소합성 반응을 통해 세라믹 원료를 합성하기 위해서는 연소과정 중 열분해 거동과 평형종의 분압을 고려하여야 한다.

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Effect of L-carnitine on Ischemic Myocardium of Langendorff`s Isolated Rat Heart (Langendorff 분리쥐 심모형에서 L-Carnitine이 허혈성 심근에 미치는 효과)

  • Jeong, Eon-Seop;Kim, Song-Myeong
    • Journal of Chest Surgery
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    • v.24 no.5
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    • pp.429-437
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    • 1991
  • Beta hydroxytrimethylammonium butyrate[L-carnitine] is highly concentrated in myocardium and it is essential substance for transfer of fatty acids into the mitochondria. We respect that L-carnitine has protective action to myocardium during ischemia. I studied coronary flow and CK - MB isoenzyme of coronary effluent of Langendorff`s isolated rat heart model. As a control group 5 Sprague-Dowley species rat hearts were connected to Langendorff`s isolated rat heart model and perfused for 30 minutes with Kreb-Henseleit buffer solution. After cessation of perfusion for 30 minutes they were reperfused for 30 minutes. In experimental group 10 Sprague-Dowley species rat hearts were perfused with 10mmole /L of L-carnitine contained in Kleb-Henseleit buffer solution. In equilibrium state, coronary flow was 1.7 times greater in experimental group. During reperfusion, both group showed equally decreased flow amount of about 60% of that of equilibrium state. CK-MB isoenzyme level of perfused coronary fluid showed no significant difference in equilibrium state. In reperfusion. CK-MB isoenzyme levels of control group were 17.61$\pm$8. 68U/L at 25 minutes, 23.32$\pm$4.15U /L at 30 minutes; and in experimental group, 13.63$\pm$6. 08U/L at 15 minutes and 13.6$\pm$8.41U /L at 30 minutes respectively. Those values in both states showed significantly lower CK-MB level in experimental group. In conclusion, L-carnitine prevent ischemic myocardial damage during ischemic and reperfusion state of Langendorff`s isolated rat hearts and also I suggest the L-carnitine act potent coronary vasodilator during preischemic and postischemic states of rat hearts.

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Economic Impacts of Invasive Pests under Climate Change: A Case of Lycorma delicatula (기후변화에 따른 미발생 병해충 피해 경제적 영향 분석: Lycorma delicatula의 사례를 중심으로)

  • An, Hyunjin;Cho, Sung Ju;Oh, Saera;Jung, Jae-Min
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.7
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    • pp.415-422
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    • 2018
  • Lycorma delicatula, known as spotted lanternfly, is a planthopper native to Southeast Asia, including Vietnam, India and South China. This species damages local fruit trees and has spread rapidly in South Korea in recent years. The purpose of this study is to present the methods and estimation results pertaining to the risk of invasive species like Lycorma delicatula. We used a partial budget (PB) method to assess direct income reduction of farm households and a partial equilibrium (PE) model to examine social welfare change from the outbreak of Lycorma delicatula. We also estimated the future economic impacts of Lycorma delicatula under various climate scenarios considering habitat suitability. As climate change progresses, domestic ecosystems are expected to become increasingly vulnerable to pest outbreaks leading to further economic damage. We believe that this study can be a base to evaluate efficiency of the national pest control and quarantine system.

Assessment of Sorption Behavior on Slag Against Heavy Metals (카드뮴, 납, 구리에 대한 슬래그의 흡착특성평가)

  • Lee, Gwang-Hun;Choi, Sung-Dae;Chung, Jae-Shik;Park, Jun-Boum;Nam, Kyoung-Phile
    • Journal of the Korean Geotechnical Society
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    • v.24 no.6
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    • pp.17-25
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    • 2008
  • Permeable reactive barriers (PRBs) technology can be applied to contaminated groundwater remediation. It is necessary to select adequate reactive material according to contaminant characterization. In groundwater. In this research, the reaction between reactive material and heavy metal contaminants was estimated through batch test. Reactive material was slag, which has been produced in Gwangyang power plant, and heavy metal contaminants were cadmium, lead and copper. Batch test consisted of two testes: 1) sorption equilibrium test and 2) sorption kinetic test. Sorption equilibrium test was performed for estimating slag sorption capacity against contaminants. And sorption kinetic test was performed for slag sorption rate with contaminants species, contaminants initial concentration and sulfate. Sorption capacity and sorption rate were affected by contaminant species. Sorption rate increased with increasing initial concentration in lead and copper but decreased with increasing initial concentration in cadmium. Sorption rate increased in existing sulfate. In low concentration, film diffusion was domain mechanism, and in high concentration, particle diffusion was domain mechanism.

Equilibrium calculations for HyBRID decontamination of magnetite: Effect of raw amount of CuSO4 on Cu2O formation

  • Lee, Byung-Chul;Kim, Seon-Byeong;Moon, Jei-Kwon
    • Nuclear Engineering and Technology
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    • v.52 no.11
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    • pp.2543-2551
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    • 2020
  • Calculations of chemical equilibrium for multicomponent aqueous systems of the HyBRID dissolution of magnetite were performed by using the HSC Chemistry. They were done by using a Pitzer-based aqueous solution model with the recipe of raw materials in experiments conducted at KAERI. The change in the amounts of species and ions and the pH values of the solution at equilibrium was observed as functions of temperature and raw amount of CuSO4. Precipitation of Cu2O occurred at a large amount of CuSO4 added to the solution, while no precipitation of Cu(OH)2 was found at any amounts of CuSO4. The E-pH diagrams for Cu were constructed at various Cu concentrations to provide the effect of the Cu concentration on the pH values at boundaries where the coexistence of Cu+ ion and Cu2O solid occurred. To prevent Cu+ ions from being precipitated to Cu2O, the raw amount of CuSO4 should be adjusted so that the pH value of the solution from the equilibrium calculation is less than that from the E-pH diagram. We provided guidelines for the raw amount of CuSO4 and the pH value of the solution, which prevent the formation of Cu2O precipitates in the HyBRID dissolution experiments for magnetite.

Temperature and Concentration Dependencies of Chemical Equilibrium for Reductive Dissolution of Magnetite Using Oxalic Acid

  • Lee, Byung-Chul;Oh, Wonzin
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.19 no.2
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    • pp.187-196
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    • 2021
  • Chemical equilibrium calculations for multicomponent aqueous systems involving the reductive dissolution of magnetite (Fe3O4) with oxalic acid (H2C2O4) were performed using the HSC Chemistry® version 9. They were conducted with an aqueous solution model based on the Pitzer's approach of one molality aqueous solution. The change in the amounts and activity coefficients of species and ions involved in the reactions as well as the solution pH at equilibrium was calculated while changing the amounts of raw materials (Fe3O4 and H2C2O4) and the system temperature from 25℃ to 125℃. In particular, the conditions under which Fe3O4 is completely dissolved at high temperatures were determined by varying the raw amount of H2C2O4 and the temperature for a given raw amount of Fe3O4 fed into the aqueous solution. When the raw amount of H2C2O4 added was small for a given raw amount of Fe3O4, no undissolved Fe3O4 was present in the solution and the pH of the solution increased significantly. The formation of ferrous oxalate complex (FeC2O4) was observed. The equilibrium amount of FeC2O4 decreased as the raw amount of H2C2O4 increased.

Chemical Equilibrium Modeling for Magnetite-Packed Crevice Chemistry in a Nuclear Steam Generator

  • Bahn, Chi-Bum;Rhee, In-Hyoung;Hwang, Il-Soon;Park, Byung-Gi
    • Bulletin of the Korean Chemical Society
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    • v.26 no.11
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    • pp.1783-1789
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    • 2005
  • Modeling of a steam generator crevice in a nuclear power system needs to take into account both thermalhydraulic and chemical phenomena. As a first step towards developing a reliable model, a chemical equilibrium model was developed to predict chemical speciation in a magnetite-packed crevice by adopting the “tableau” method. The model was benchmarked with the available experimental data and the maximum deviation did not exceed two orders of magnitude. The developed model was applied to predict the chemical speciation in a magnetite-packed crevice. It was predicted that caustic environment was developed by the concentration of NaOH and the dissolution of magnetite. The model indicated that the dominant aqueous species of iron in the caustic crevice was $FeO_2\;^-$. The increase of electrochemical corrosion potential observed in the experiment was rationalized by the decrease of dissolved hydrogen concentration due to a boiling process. It was predicted that under the deaerated condition magnetite was oxidized to hematite.