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Chaotic Aquila Optimization Algorithm for Solving phase equilibrium Problems and Parameter Estimation of Semi-empirical Models

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Journal of Bionic Engineering 2024年第1期21卷 486-526页

作者： Oguz Emrah Turgut Mert Sinan Turgut Erhan Kırtepe Department of Industrial Engineering Faculty of Engineering and ArchitectureIzmir Bakircay UniversityMenemenizmirTurkey Department of Mechanical Engineering Faculty of EngineeringEge UniversityBornovaizmirTurkey Department of Motor Vehicles and Transportation Technologies Sirnak UniversitySirnakTurkey

This research study aims to enhance the optimization performance of a newly emerged Aquila Optimization algorithm by incorporating chaotic sequences rather than using uniformly generated Gaussian random numbers.This work employs 25 different chaotic maps under the framework of Aquila Optimizer.It considers the ten best chaotic variants for performance evaluation on multidimensional test functions composed of unimodal and multimodal problems,which have yet to be studied in past literature works.It was found that Ikeda chaotic map enhanced Aquila Optimization algorithm yields the best predictions and becomes the leading method in most of the cases.To test the effectivity of this chaotic variant on real-world optimization problems,it is employed on two constrained engineering design problems,and its effectiveness has been verified.Finally,phase equilibrium and semi-empirical parameter estimation problems have been solved by the proposed method,and respective solutions have been compared with those obtained from state-of-art optimizers.It is observed that CH01 can successfully cope with the restrictive nonlinearities and nonconvexities of parameter estimation and phase equilibrium problems,showing the capabilities of yielding minimum prediction error values of no more than 0.05 compared to the remaining algorithms utilized in the performance benchmarking process.

关键词： Aquila optimization algorithm Chaotic maps Parameter estimation phase equilibrium Unconstrained optimization

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phase equilibrium studies of titanomagnetite and ilmenite smelting slags

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International Journal of Minerals,Metallurgy and Materials 2022年第12期29卷 2162-2171页

作者： Jinfa Liao Baojun Zhao International Research Institute for Resources EnergyEnvironment and MaterialsJiangxi University of Science and TechnologyGanzhou 341000China Sustainable Minerals Institute University of QueenslandBrisbaneSaint Lucia 4072Australia

The phase equilibrium information of slag plays an important role in pyrometallurgical processes to obtain optimum fluxing conditions and operating temperatures.The smelting reduction of titanomagnetite and ilmenite ores in an iron blast furnace(BF)can form Ti(C,N)particles,causing the increased viscosities of slag and hot metal.HIsmelt has been developed in recent years for ironmaking and does not need coke and sinter.The formation of Ti(C,N)in the HIsmelt process is avoided because the oxygen partial pressure in the process is higher than that in the BF.The smelting of TiO_(2)-containing ores in the HIsmelt process results in Al_(2)O_(3)-MgO-SiO_(2)-CaO-TiO_(2)slag.phase equilibrium in this slag system has been investigated using equilibration,quenching,and electron probe microanalysis techniques.The experimental results were presented in two pseudo-binary sections,which represent the process of HIsmelt for the treatment of 100%titanomagnetite ore and mixed titanomagnetite+ilmenite ore(mass ratio of 2:1),respectively.The primary phases observed in the composition range investigated include pseudo-brookite M_(3)O_(5)(MgO·2TiO_(2)-Al_(2)O_(3)·TiO_(2)),spinel(MgO·Al_(2)O_(3)),perovskite CaTiO_(3),and rutile TiO_(2).The results show that the liquidus temperatures decrease in the TiO_(2)and M_(3)O_(5) primary phase fields and increase in the spinel and CaTiO_(3)primary phase fields with the increase in CaO concentration.The calculation of solid-phase fractions from the experimental data has been demonstrated.The effect of basicity on the liquidus temperatures of the slag has been discussed.The smelting of titanomagnetite plus ilmenite ores has significant advantages to obtain low-sulfur hot metal and high-TiO_(2)slag.Experimentally determined liquidus temperatures were compared with the FactSage predictions to evaluate the existing thermodynamic databases.

关键词： HIsmelt slag phase equilibrium Al_(2)O_(3)-MgO-SiO_(2)-CaO-TiO_(2)system FactSage

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phase equilibrium Characteristics of CO_(2)and Ionic Liquids with[FAP]-Anion Used for Absorption-Compression Refrigeration Working Pairs

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Journal of Thermal Science 2021年第1期30卷 165-176页

作者： WU Weidong WANG Li LI Xiang LIU Hui ZHANG Hua DOU Binlin School of Energy and Power Engineering University of Shanghai for Science and TechnologyShanghai 200093China

The study of the phase equilibrium characteristics of CO_(2)-ionic liquids(ILs)as new absorption-compression type refrigeration working pairs is of great importance.Three kinds of ILs,i.e.,[emim][FAP],[bmim][FAP]and[hmim][FAP],were chosen as potential absorbents.The solubility of CO_(2)in these ILs was measured experimentally within 0 to 5.0 MPa at temperatures of 293.15 K to 333.15 K,and the effects of temperature,pressure,IL anion and cation structure and stirring action on CO_(2)solubility were also discussed and analyzed.The results showed that the longer alkyl chains in an identical IL family,the alkyl fluoride group in IL anions and the stirring action by a magnetic stirrer had positive effects on the solubility of CO_(2).In the three ILs,[hmim][FAP]possessed the best performance for CO_(2)absorption;the solubility of CO_(2)reached 0.7641 at a pressure of 5 MPa and temperature of 293.15 K,the maximum solubility measured in this work.The CO_(2)-[hmim][FAP]binary mixture is recommended as a potentially applicable working pair for CO_(2)absorption-compression refrigeration systems.

关键词： CO_(2) ionic liquids(ILs) absorption-compression refrigeration working pair phase equilibrium tris(perfluoroalkyl)trifluorophosphate anions([FAP]^(-))

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phase equilibrium FOR THE TERNARY SYSTEM VINYL CHLORIDE-CHLORINATED POLYETHYLENE-POLY(VINYL CHLORIDE)

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Chinese Journal of Polymer Science 1991年第3期9卷 238-245页

作者：楼剑锋翁志学黄志明潘祖仁 Chemical Engineering Department Zhejiang University Hangzhou 310027

Swelling capacity of vinyl chloride (VC) in chlorinated polyethylene (CPE) with 25—40 wt% Cl at temperature 30—57℃ was studied and their relationships were correlated with Langmuir and Freundlich adsorption equations. A ternary phase diagram for VC-CPE-PVC was also established. In-situ polymerization conditions of CPE-g-VC were proposed and CPE content control was analyzed for the manufacturing process of CPE-g-VC graft product based on results of phase equilibrium study.

关键词： phase equilibrium Swelling capacity Ternary system diagram Vinyl chloridechlorinated polyethylene-poly (vinyl chloride)

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Solubility of iron(Ⅲ) and nickel(Ⅱ) acetylacetonates in supercritical carbon dioxide

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Chinese Journal of Chemical Engineering 2024年第1期65卷 29-34页

作者： Haixin Sun Jianlei Qi Jianfei Sun Lin Li Kunpeng Yu Jintao Wu Jianzhong Yin State Key Laboratory of Fine Chemicals School of Chemical EngineeringDalian University of TechnologyDalian 116024China College of Chemical Engineering Inner Mongolia University of TechnologyHohhot 010051China

As a common precursor for supercritical CO_(2)(scCO_(2))deposition techniques,solubility data of organometallic complexes in scCO_(2)is crucial for the preparation of nanocomposites.Recently,metal acetylacetonates have shown great potential for the preparation of single-atom catalytic materials.In this study,the solubilities of iron(Ⅲ)acetylacetonate(Fe(acac)3)and nickel(Ⅱ)acetylacetonate(Ni(acac)2)were measured at the temperature from 313.15 to 333.15 K and in the pressure range of 9.5–25.2 MPa to accumulate new solubility data.Solubility was measured using a static weight loss method.The semi-empirical models proposed by Chrastil and Sung et al.were used to correlate the solubility data of Fe(acac)3 and Ni(acac)2.The equations obtained can be used to predict the solubility of the same system in the experimental range.

关键词： Iron(III)acetylacetonate Nickel(II)acetylacetonate Supercritical carbon dioxide Solubility measurement Correlation model phase equilibrium

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phase equilibrium of Mg-Zn-La System in Mg-Rich Corner from 200 to 350 ℃

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Journal of Rare Earths 2007年第S1期25卷 519-522页

作者：黄明丽李洪晓丁桦任玉平郝士明 School of Materials and Metallurgy Northeastern University

Alloys of Mg-Zn-La system in Mg rich corner were prepared, and the phase relationship was investigated at different temperatures such as 200, 300 and 350 ℃ by scanning electron microscopy(SEM), X-ray diffraction(XRD) and electron probe microanalysis with energy dispersive X-ray spectroscopy (EPMA). Two types of phase equilibrium were identified at the different temperatures. One is two-phase equilibrium contained the Mg solid solution and T-phase. The other is three-phase equilibrium which contained the Mg solid solution, MgZn phase and T-phase. T-phase was stable as the temperature changed. The La content in T-phase is constant which is about 8±0.3% (atom fraction); but the Mg content and Zn content of that is changed, and the Zn content in T-phase was from 16.1% to 44%. The solubility of La in MgZn phase was increased from 1.2% to 1.6% as the temperature increasing from 200 to 350 ℃.

关键词： Mg-Zn-La system phase equilibrium T-phase phase diagram rare earths

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phase equilibrium of the ternary system of NH_(4)Cl—CaCl_(2)—H_(2)O at 50℃

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Frontiers of Chemical Science and Engineering 2010年第1期4卷 75-77页

作者： Xia LI Junsheng YUAN Zhiyong JI Jianxin CHEN Hebei University of Technology Tianjin 300130China Engineering Research Center of Seawater Utilization Technology Ministry of EducationTianjin 300130China

The equilibrium data on the ternary system of NH_(4)Cl-CaCl_(2)-H_(2)O at 50℃were investigated using the wet-residue method.The experimental results show that there are three pure phase crystal areas of NH_(4)Cl,2NH_(4)Cl·CaCl_(2)·3H_(2)O and CaCl·2H_(2)O,two mixture phase crystal areas of NH_(4)Cl and 2NH_(4)Cl·CaCl·3H_(2)O,and 2NH_(4)Cl·CaCl_(2)·3H_(2)O and CaCl·2H_(2)O in the system.A new hydration double salt(2NH_(4)Cl·CaCl·3H_(2)O)was found in the ternary equilibrium system for the first time.

关键词： calcium chloride ammonium chloride phase equilibrium

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Relationship between CO_2 Sensor Voltage Response and phase equilibrium of Solid Electrolyte Na,K-β/β″-Al_2O_3

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Journal of Materials Science & Technology 2003年第5期19卷 450-452页

作者： J.H.YANG H.Nafe F.Aldinger D.S.YAN ShanghaiInstituteofCeramics ChineseAcademyofSciencesShanghai200050China Max-Planck-InstitutfurMetallforschung PulvermetallurgischesLaboratoratiumHeisenbergstrasse570569StuttgartGermany

关键词： CO2 sensor phase equilibrium Solid electrolyte Na K-β/β'-Al2O3

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Study on phase equilibrium Properties for CO_(2)^+ Cosolvent Binary Systems

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Chinese Chemical Letters 2001年第9期12卷 829-832页

作者： Zhang Jing CHANG Wu Xiang YANG Cao Wei LIANG Faculty of Science Beijing University of Chemical TechnologyBeijing 100029

In this study, the constant volume, visual method is used to measure the critical point of CO2+toluene, CO2+cyclohexane, CO2+n-butyraldehyde, CO2+i-butyraldehyde, CO2+methanol and CO2+alcohol binary systems. The relationship between critical point and the concentration of the entrainer for different substances has been discussed, and the comparison of the phase behavior of single component system and that of binary systems have been carried out.

关键词： Critical point supercritical binary system phase equilibrium

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Metastable phase equilibrium in the Reciprocal Quaternary System LiCl＋MgCl2＋Li2SO4＋MgSO4＋H2O at 348.15 K and 0.1 MPa

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Chemical Research in Chinese Universities 2018年第5期34卷 798-802页

作者： YU Xiaoping WANG Qin GUO Yafei DENG Tianlong Tianjin Key Laboratory of Marine Resources and Chemistry College of Chemical Engineering and Materials Science Tianjin University of Science and Technology Tianjin 300457 P. R. China College of Chemistry and A laterials Science Northwest University Xi 'an 710127 P. R. China

The metastable solubilities and the physicochemical properties including density and pH of the reciprocal quaternary system（LiCl＋MgCl2＋Li2SO4＋MgSO4＋H2O） at 348.15 K and 0.1 MPa were determined using the isother- mal evaporation method. The dry-salt diagram and water-phase diagram were plotted based on the experimental data. There are five invariant points, eleven tmivariant curves, and seven crystallization zones corresponding to hexahy- drite, tetrahydrite, kieserite, bischofite, lithium sulfate monohydrate, lithium chloride monohydrate and lithium car- nallite. Comparison between the stable and metastable diagrams at 348.15 K indicates that the metastable phenome- non of magnesium sulfate is obvious, and the crystallization regions of hexahydrite and tetrahydrite disappear in the stable phase diagram. A comparison of the metastable dry-salt phase diagrams at 308.15, 323.15 and 348.15 K shows that with the increasing of temperatttre the epsomite crystallization zone disappears from the dry-salt phase diagranl of 303.15 K, and a new kieserite crystallization zone is presented at 348.15 K. The density and pH in the metastable equilibrium solution present regular change with the increasing of Janecke index J（2Li＋）, and the calculated densities using the empirical equation agree well with the experimental values.

关键词： phase equilibrium phase diagram Solubility Quaternary system Lithium salt

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