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铜精矿富氧自热熔炼动态热平衡数学模型
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作者 郭先健 《有色金属》 CSCD 1991年第4期56-60,80,共6页
本文建立的铜精矿自热熔炼动态热平衡数学模型为:dQ/dt=(762.7+2313/Rs-665.5/RsXs-610.5/Yo_2)V模型的计算及分析结果表明,精矿含硫量的增加有利于熔炼过程的热平衡。若精矿含硫分数低于0.25,采用富氧对过程的热平衡产生负效应。在脱... 本文建立的铜精矿自热熔炼动态热平衡数学模型为:dQ/dt=(762.7+2313/Rs-665.5/RsXs-610.5/Yo_2)V模型的计算及分析结果表明,精矿含硫量的增加有利于熔炼过程的热平衡。若精矿含硫分数低于0.25,采用富氧对过程的热平衡产生负效应。在脱硫率为0.60时,对于精矿含硫分数分别为0.30、0.35和0.45,实现自热熔炼的富氧浓度分别为70%,45%和30%。当精矿含硫分数低于0.29时,提高脱硫率有利于过程的热平衡,而高于0.29时,则不利于过程的热平衡。 展开更多
关键词 熔炼过程 脱硫率 富氧浓度 平衡数学模型
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局部FC-一致空间内具有联立广义矢量拟平衡组约束的数学规划(英文) 被引量:7
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作者 丁协平 《应用泛函分析学报》 CSCD 2010年第4期289-304,共16页
在局部FC-一致空间内引入和研究了某些新的联立广义矢量拟平衡问题组和具有联立广义矢量拟平衡组约束的数学规划.应用作者在局部FC-一致空间得到的Himmelberg型不动点定理,首先在局部FC-一致空间内对联立广义矢量拟平衡问题组的解证明... 在局部FC-一致空间内引入和研究了某些新的联立广义矢量拟平衡问题组和具有联立广义矢量拟平衡组约束的数学规划.应用作者在局部FC-一致空间得到的Himmelberg型不动点定理,首先在局部FC-一致空间内对联立广义矢量拟平衡问题组的解证明了某些新的存在性定理.作为应用,对具有联立广义矢量拟平衡组约束的数学规划的解得到了某些新的存在性定理. 展开更多
关键词 不动点 联立广义矢量拟平衡问题组 具有联立广义矢量拟平衡组约束的数学规划 局部FC-一致空间
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某型复杂工程机械变速箱体复合工艺约束机加工线平衡研究
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作者 金初云 胡俊逸 +1 位作者 陈勇 王一鸿 《机电工程》 CAS 北大核心 2024年第4期720-731,共12页
为解决机加工生产线平衡问题所包含的加工任务刀具需求、机床类型需求、加工方位约束、“紧密”型和“或”型约束等复杂条件,建立了机加工生产线平衡数学模型,并采用含多重筛选机制的粒子群算法进行了求解。首先,建立了满足此复杂实际... 为解决机加工生产线平衡问题所包含的加工任务刀具需求、机床类型需求、加工方位约束、“紧密”型和“或”型约束等复杂条件,建立了机加工生产线平衡数学模型,并采用含多重筛选机制的粒子群算法进行了求解。首先,建立了满足此复杂实际约束条件的机加工生产线平衡问题数学模型;然后,采用粒子的位置坐标作为粒子群搜索的权重信息,进行了加工任务、集中任务的选取,并设计了多重筛选机制构造启发式任务集生成规则;采用此规则对待分配加工任务进行了多重筛选,以得到可供直接分配的加工任务集合,粒子群算法(PSO)从此集合中依次选取了加工任务,构成了完整的解,并形成了具体的任务分配方案;最后,为提高程序的实用性和可视性,设计了加工任务的甘特图生成模块,通过对某复杂工程机械变速箱体零件的实际案例研究,将简化后的任务信息代入算法进行了求解。研究结果表明:该方法实现了多组平衡率高于90%的优化结果,在节拍时间为1120 s时,得到94.66%的较高平衡率,排产方案表格内容与甘特图显示一致;算法推演结果满足设定的多种复合约束条件,通过与人工排产对比说明了该算法的有效性并具有较好的经济性、实用性;对柔性生产案例进行探讨,证明该算法运算结果具备一定的生产柔性。 展开更多
关键词 机械加工工艺 粒子群算法 生产线平衡数学模型 箱体类零件 约束关系矩阵 启发式备选任务集生成规则
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绘制同时平衡E-pH图的一种新方法
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作者 何静 马荣骏 曾光明 《湖南有色金属》 CAS 2003年第6期31-34,共4页
在组分活度项算法的基础上,提出了绘制同时平衡E pH图的新观点、新思路,根据相律原理,从数学和化学本衡的角度全面探讨了同时平衡E pH图中点线面的构成特点;采用了一种求解非线性方程组的新方法(Arithmetic GeometricMethod),很好地解... 在组分活度项算法的基础上,提出了绘制同时平衡E pH图的新观点、新思路,根据相律原理,从数学和化学本衡的角度全面探讨了同时平衡E pH图中点线面的构成特点;采用了一种求解非线性方程组的新方法(Arithmetic GeometricMethod),很好地解决了非线性方程组的求解问题。 展开更多
关键词 数学平衡 化学平衡 E-pH图 绘图方法 金属腐蚀学 M-H2O系
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运输问题中一类不平衡模型的处理及求解
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作者 朱若松 蛟永胜 《长沙大学学报》 2003年第2期33-34,共2页
本文探讨了一类运输问题中不平衡数学模型的处理及其求解 。
关键词 运输模型 处理 求解 平衡数学模型 运输费用
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求解带互补约束的数学规划的信赖域算法(英文)
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作者 刘国山 《白城师范高等专科学校学报》 2002年第4期1-3,共3页
本文提出了一种新的求解带互补约束的数学规划的信赖域算法并在不要求严格互补条件下证明了它的收敛性。
关键词 平衡约束的数学规划 互补问题 信赖预算法
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松弛MPEC和MIQP的启发–校正两阶段动态无功优化算法 被引量:20
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作者 丁涛 郭庆来 +4 位作者 柏瑞 孙宏斌 吴文传 张伯明 姚峥毅 《中国电机工程学报》 EI CSCD 北大核心 2014年第13期2100-2107,共8页
为快速求解计及离散调节设备动作次数约束和电网安全约束的多时段动态无功优化问题,建立以有功网损最小为目标函数的混合整数非线性规划模型,并提出一种启发搜索加变量校正的两阶段求解方法:启发搜索首先将离散变量松弛为连续变量,形成... 为快速求解计及离散调节设备动作次数约束和电网安全约束的多时段动态无功优化问题,建立以有功网损最小为目标函数的混合整数非线性规划模型,并提出一种启发搜索加变量校正的两阶段求解方法:启发搜索首先将离散变量松弛为连续变量,形成一个带平衡约束的的优化模型,进而得到各个时段的连续优化结果,然后建立以方差最小化为目标并严格满足原模型中离散调节设备动作次数约束的整数二次规划模型,得到最优动作次数和离散归整结果;变量校正是固定启发搜索得到的离散变量优化结果,重新校正连续变量的优化量。通过IEEE 14测试系统详细讨论了无功调节设备的步长和动作次数对优化结果的影响;此外,IEEE 30、57、118节点测试系统的优化结果表明,所提方法能够快速得到优化结果,实现并行求解,且其精度可满足实际工程需要。 展开更多
关键词 动态无功优化 平衡约束数学规划 混合整数二次规划 内点法 最优潮流
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内贸沿海集装箱运输分析 被引量:6
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作者 徐天芳 付健 《交通运输系统工程与信息》 EI CSCD 2001年第3期232-235,共4页
研究了我国沿海集装箱班轮运输现状 ,分析了运量、运力的现状和发展趋势 ,提出了沿海集装箱运力平衡数学模型和发展沿海集装箱运输对象和运输模式 。
关键词 沿海集装箱运输 运量现状 运力现状 经营状况 运力平衡数学模型 发展对策 港口企业 宏观调控
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双层规划在城市交通领域研究与应用的系统综述 被引量:1
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作者 魏贺 刘昊飞 +3 位作者 许丹丹 韩雪华 王良 张晓东 《运筹学学报》 CSCD 北大核心 2023年第2期1-26,共26页
双层规划是约束条件中含有优化问题,具有上下双层递阶结构的非凸优化问题,是典型的NP-Hard问题。本文系统性综述双层规划在城市交通领域的研究与应用,聚焦交通网络设计和OD(origin destination)反推调整两类问题。首先,利用文献计量法... 双层规划是约束条件中含有优化问题,具有上下双层递阶结构的非凸优化问题,是典型的NP-Hard问题。本文系统性综述双层规划在城市交通领域的研究与应用,聚焦交通网络设计和OD(origin destination)反推调整两类问题。首先,利用文献计量法概述国内外研究主题与演变历程。其次,以开创性研究为线索溯源首次系统综述、首篇博士论文、首个TR-B专题和首篇中文综述关键研究。再次,梳理道路、公交、多模式网络设计问题与静态、动态OD反推问题的近期发展。从次,总结通用求解方法,讨论求解方法发展动向,阐述双层规划与平衡约束数学规划的关系。最后,指出未来发展的机遇与挑战:智慧交通探索揭示、建模架构模式优选和计算平台互动共享。 展开更多
关键词 双层规划 网络设计问题 OD反推调整 用户均衡 平衡约束数学规划 模型算法
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一类MPEC问题的SQP算法 被引量:2
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作者 万中 周叔子 《应用数学》 CSCD 北大核心 2001年第2期39-44,共6页
本文研究带线性互补约束规划问题的 SQP算法 .该算法不要求精确计算初值 ,是针对初值非精确计算情形的新算法 ,证明了该算法的收敛性 .
关键词 逐步二次规划(SQP) 平衡约束的数学规划问题(MPEC) 线性互补
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Equilibrium and kinetic data of adsorption and separation for zirconium and hafnium onto MIBK extraction resin 被引量:15
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作者 徐志高 吴延科 +2 位作者 张建东 张力 王力军 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2010年第8期1527-1533,共7页
The equilibrium and kinetics of methyl isobutyl ketone(MIBK) extraction resin for adsorption and separation of zirconium and hafnium were studied under the different conditions of acidity,initial total concentrations ... The equilibrium and kinetics of methyl isobutyl ketone(MIBK) extraction resin for adsorption and separation of zirconium and hafnium were studied under the different conditions of acidity,initial total concentrations of zirconium and hafnium and temperature.The equilibrium data of both zirconium and hafnium are found to follow the Freundlich adsorption isotherm,and the Freundlich isotherm constants(KF) are 3.53 and 0.64 mg/g,respectively.The equilibrium data of zirconium also fit the Langmuir adsorption isotherm,and the saturation adsorption capacity(Qmax) and the Langmuir isotherm constant(KL)are 75.93 mg/g and-0.012 7 L/g,respectively.The obtained kinetic data of both zirconium and hafnium are found to fit the HO pseudo-second-order kinetic model,and the rate constants of pseudo-second-order equation(k2) are-0.019 and 0.41 g/(mg·min),respectively.Column tests show that the MIBK extraction resin could be used as efficient adsorbent material for separating hafnium from zirconium. 展开更多
关键词 EQUILIBRIUM kinetics ADSORPTION methyl isobutyl ketone extraction resin ZIRCONIUM HAFNIUM SEPARATION
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局部FC-一致空间内的广义拟变分包含组及其应用(Ⅱ)(英文) 被引量:2
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作者 丁协平 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第6期711-722,共12页
应用作者在局部FC-一致空间得到的广义拟变分包含组解的存在性定理,在局部FC-一致空间内,对广义矢量拟平衡问题组、联立广义拟平衡问题组、具有广义拟变分包含组约束的数学规划和具有广义拟平衡组约束的数学规划的解得到了某些新的存在... 应用作者在局部FC-一致空间得到的广义拟变分包含组解的存在性定理,在局部FC-一致空间内,对广义矢量拟平衡问题组、联立广义拟平衡问题组、具有广义拟变分包含组约束的数学规划和具有广义拟平衡组约束的数学规划的解得到了某些新的存在性定理.这些结果在较弱的假设下将文献中很多已知结果从局部凸拓朴矢量空间的闭凸子集改进和推广到没有凸性结构的局部FC-一致空间. 展开更多
关键词 广义拟变分包含问题组 (联立)广义矢量拟平衡问题组 具有变分包含组约束和具有拟平衡组约束的数学规划 局部FC-一致空间
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Estimation of Turnover and Equilibrium of Soil Organic Matter Using a Mathematical Approach 被引量:2
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作者 WU Chun-Yan CHEN Yi WANG Jia-Yu WANG Sheng-Jia 《Pedosphere》 SCIE CAS CSCD 2006年第5期634-645,共12页
The methods based on N uptake of aerial-plants, soil organic matter (SOM) dynamics, Jenny's equation, and actual measurement of long-term field experiments in Jiaxing, Quzhou, Huangyan and Hangzhou of Zhejiang Pro... The methods based on N uptake of aerial-plants, soil organic matter (SOM) dynamics, Jenny's equation, and actual measurement of long-term field experiments in Jiaxing, Quzhou, Huangyan and Hangzhou of Zhejiang Province, China were used to determine the organic mineralization rate being helpful in estimating the organic requirement for SOM equilibrium. The results showed that the estimated mineralization ratios of SOM for Jiaxing and Quzhou were, respectively, 0.0404 and 0.0508 based on N uptake of aerial-plants in non-fertilized plots; 0.0405 and 0.012 using SOM dynamics in non-fertilized plots; and 0.0413 and 0.0513 using the actual investigated data and Jenny's equation. With Jenny's equation, soil organic C balance in manure + N-P-K plots was estimated at nearly 28.8 g kg-1 for Jiaxing and 32.4 g kg-1 for Quzhou with predicted SOM linearly related to the actual investigated values (r2 = 0.9640 for Jiaxing and 0.8541 for Quzhou). To maintain the SOM balance in the non-fertilized plots the recommended rate of organic materials was 3 000-6 600 kg ha-1, and the relevant rates of farm yard manure (FYM) in the manure and N-P-K plots were estimated at 3 375 (dry) and 17670 kg ha-1 (wet) for Jiaxing, 1845 (dry) and 6090 kg ha-1 (wet) for Quzhou. 展开更多
关键词 EQUILIBRIUM mathematic modeling rice fields soil organic matter (SOM) TURNOVER
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Modeling VLE and GLE of Systems Involving Polymers by Using SRK Equation of State 被引量:1
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作者 计伟荣 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2007年第2期221-227,共7页
A simple extension of cubic equations of state(EOS)to polymer systems has been proposed.The So-ave-Redlich-Kwong(SRK)EOS was taken as a prototype to be used to describe the PVT behavior of polymer melts in a wide temp... A simple extension of cubic equations of state(EOS)to polymer systems has been proposed.The So-ave-Redlich-Kwong(SRK)EOS was taken as a prototype to be used to describe the PVT behavior of polymer melts in a wide temperature and pressure range.Combined with a modified Huron-Vidal gE-mixing rule it was applied for modeling vapor-liquid equilibria of polymer-solvent solutions and the solubility of supercritical gases in polymer melts.Satisfactory results are obtained. 展开更多
关键词 SRK equation of state POLYMER phase equilibrium PVT behavior.
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Effect of hydrogen combustion reaction on the dehydrogenation of ethane in a fixed-bed catalytic membrane reactor 被引量:2
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作者 Masoud Hasany Mohammad Malakootikhah +1 位作者 Vahid Rahmanian Soheila Yaghmaei 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第8期1316-1325,共10页
A two-dimensional non-isothermal mathematical model has been developed for the ethane dehydrogenation reaction in a fixed-bed catalytic membrane reactor. Since ethane dehydrogenation is an equilibrium reaction,removal... A two-dimensional non-isothermal mathematical model has been developed for the ethane dehydrogenation reaction in a fixed-bed catalytic membrane reactor. Since ethane dehydrogenation is an equilibrium reaction,removal of produced hydrogen by the membrane shifts the thermodynamic equilibrium to ethylene production.For further displacement of the dehydrogenation reaction, oxidative dehydrogenation method has been used.Since ethane dehydrogenation is an endothermic reaction, the energy produced by the oxidative dehydrogenation method is consumed by the dehydrogenation reaction. The results show that the oxidative dehydrogenation method generated a substantial improvement in the reactor performance in terms of high conversions and signi ficant energy saving. It was also established that the sweep gas velocity in the shell side of the reactor is one of the most important factors in the effectiveness of the reactor. 展开更多
关键词 Catalytic membrane reactor Mathematical modeling Ethane dehydrogenation Hydrogen combustion
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Thermodynamic simulation of metal behaviors in Cu_(2+)−Ni_(2+)−NH_(3)−NH_(4)+−C_(2)O_(4)^(2-)−H_(2)O system 被引量:2
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作者 Ze-lin MIAO Jing ZHAN Zi-wei XU 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2021年第5期1475-1483,共9页
To investigate the behaviors of Cu^(2+)and Ni^(2+)with the change of conditions in Cu_(2+)−Ni_(2+)−NH_(3)−NH_(4)+−C_(2)O_(4)^(2-)−H_(2)O reaction system,mathematical models of thermodynamics based on the principle of ... To investigate the behaviors of Cu^(2+)and Ni^(2+)with the change of conditions in Cu_(2+)−Ni_(2+)−NH_(3)−NH_(4)+−C_(2)O_(4)^(2-)−H_(2)O reaction system,mathematical models of thermodynamics based on the principle of mass conservation were established.The simulation results indicate that the precipitation of metal ions from the aqueous phase is a complicated dynamic equilibrium process,during which the coordination reactions of Cu^(2+)and Ni^(2+)with NH3 forming[Cu(NH3)n]^(2+)(n=3−5)and[Ni(NH3)m]^(2+)(m=3−6)are predominant under high pH conditions,respectively.The pH ranges for the simultaneous precipitation of Cu^(2+)and Ni^(2+)are 2.0−6.5 and 2.0−5.5 when[NH3]T equals 0.6 and 4.2 mol/L,respectively,with the prefixed[C_(2)O_(4)^(2-)]T of 0.6 mol/L.Due to the fractional precipitation of Cu^(2+)and Ni^(2+),Cu−Ni composite is obtained after the thermal decomposition of Cu−Ni oxalate complex salts prepared in a pure water system when pH>7.0.By applying the mixed solvent(water/ethanol)as the precipitation medium,the Cu−Ni alloy rods can be finally fabricated with high purity and crystallinity. 展开更多
关键词 coordination−precipitation equilibrium thermodynamic mathematical models Cu−Ni oxalate complex salts Cu−Ni alloy
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A New Competitive Adsorption Isothermal Model of Heavy Metals in Soils 被引量:7
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作者 XUE Wen-Bo YI Ai-Hua +3 位作者 ZHANG Zeng-Qiang TANG Ci-Lai ZHANG Xing-Chang GAO Jin-Ming 《Pedosphere》 SCIE CAS CSCD 2009年第2期251-257,共7页
A new competitive adsorption isothermal model(CAIM)was developed for the coexistent and competitive binding of heavy metals to the soil surface.This model extended the earlier adsorption isothermal models by consideri... A new competitive adsorption isothermal model(CAIM)was developed for the coexistent and competitive binding of heavy metals to the soil surface.This model extended the earlier adsorption isothermal models by considering more than one kind of ion adsorption on the soil surface.It was compared with the Langmuir model using different conditions, and it was found that CAIM,which was suitable for competitive ion adsorption at the soil solid-liquid surface,had more advantages than the Langmuir model.The new competitive adsorption isothermal model was used to fit the data of heavy metal(Zn and Cd)competitive adsorption by a yellow soil at two temperatures.The results showed that CAIM was appropriate for the competitive adsorption of heavy metals on the soil surface at different temperatures.The fitted parameters of CAIM had explicit physical meaning.The model allowed for the calculation of the standard molar Gibbs free energy change,the standard molar enthalpy change,and the standard molar entropy change of the competitive adsorption of the heavy metals,Zn and Cd,by the yellow soil at two temperatures using the thermodynamic equilibrium constants. 展开更多
关键词 combined pollution competitive adsorption isothermal model heavy metal thermodynamic parameters
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Ghezeljeh nanoclay as a new natural adsorbent for the removal of copper and mercury ions: Equilibrium, kinetics and thermodynamics studies 被引量:1
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作者 Majid Soleimani Zahra Hassanzadeh Siahpoosh 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第11期1819-1833,共15页
Heavy metal determination was carried out by applying the solid phase extraction (SPE) method in batch mode followed by atomic absorption spectroscopy (AAS) and inductively coupled plasma atomic emission spectrosc... Heavy metal determination was carried out by applying the solid phase extraction (SPE) method in batch mode followed by atomic absorption spectroscopy (AAS) and inductively coupled plasma atomic emission spectrosco py (ICP-AES) from aqueous solutions using Ghezeljeh montmorillonite nanoclay as a new natural adsorbent. The Ghezeljeh clay is characterized by using Fourier Transform Infrared (FT-IR) Spectroscopy, Scanning Electron Mi- croscopy-Energy Dispersive Spectrometry (SEM-EDS) and X-ray Diffractometry (XRD) and X-ray Fluorescence (XRF). The results of XRD and FT-IR of nanoclay confirm that montmorillonite is the dominant mineral phase. Based on SEM images of Ghezeljeh clay, it can be seen that the distance between the plates is Nano. The effects of varying parameters such as initial concentration of metal ions, pH and type of buffer solutions, amount of ad- sorbent, contact time, and temperature on the adsorption process were examined. The effect of various interfer- ing ions was studied. The adsorption data correlated with Freundlich, Langmuir, Dubinin-Radushkevich (D-R), and Temkin isotherms. The Langmuir and Freundlich isotherms showed the best fit to the equilibrium data for Hg(II), but the equilibrium nature of Cu(ll) adsorption has been described by the Langmuir isotherm. The kinetic data were described with pseudo-first-order, pseudo-second-order and double-exponential models, The adsorp- tion process follows a pseudo-second-order reaction scheme, Calculation of AGσ, △Hσ and ASσ showed that tilenature of Hg(II) ion sorption onto the Ghezeljeh nanoclay was endothermic and was favored at higher temper- attire, and the nature of Cu(II) ion sorption was exothermic and was favored at lower temperature, 展开更多
关键词 Montmorillonite Thermodynamic Kinetic Mercury Copper
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CFD-PBE simulation of a bubble column in OpenFOAM 被引量:7
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作者 Jingcai Cheng Qian Li +2 位作者 Chao Yang Yongqiang Zhang Zaisha Mao 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第9期1773-1784,共12页
A general CFD-PBE(computational fluid dynamics-population balance equation) solver for gas–liquid poly-dispersed flows of both low and high gas volume fractions is developed in OpenFOAM(open-source field operation an... A general CFD-PBE(computational fluid dynamics-population balance equation) solver for gas–liquid poly-dispersed flows of both low and high gas volume fractions is developed in OpenFOAM(open-source field operation and manipulation) in this work. Implementation of this solver in OpenFOAM is illustrated in detail. The PBE is solved with the cell average technique. The coupling between pressure and velocity is dealt with the transient PIMPLE algorithm, which is a merged PISO-SIMPLE(pressure implicit split operator-semi-implicit method for pressure-linked equations) algorithm. Results show generally good agreement with the published experimental data, whereas the modeling precision could be improved further with more sophisticated closure models for interfacial forces, the models for the bubble-induced turbulence and those for bubble coalescence and breakage.The results also indicate that the PBE could be solved out the PIMPLE loop to save much computation time while still preserving the time information on variables. This is important for CFD-PBE modeling of many actual gas–liquid problems, which are commonly high-turbulent flows with intrinsic transient and 3 D characteristics. 展开更多
关键词 Population balance equation (PBE) MULTIPHASE Bubble column OPENFOAM Computational fluid dynamics (CFD)
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Analysis of mathematical model for micromechanical vibratory wheel gyroscope 被引量:2
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作者 LUOYue-sheng FANChong-jin TANZhen-fan 《Journal of Marine Science and Application》 2003年第1期53-59,65,共8页
By the sketch of structure of MVWG,the working laws of this kind of gyroscope we re explained.To the aid of Euler′s Dynamics Equation,a mathematical model of the gyroscope was constructed,and then by the basic workin... By the sketch of structure of MVWG,the working laws of this kind of gyroscope we re explained.To the aid of Euler′s Dynamics Equation,a mathematical model of the gyroscope was constructed,and then by the basic working laws of MVWG the model was simplified.Under the conditions of the three axial direction rotations and general rotation,the mathematical model was resolved.And finally by the solutions, the working laws of the gyroscope, the working disparity among all sorts of gyrations and the influences from the gyrations in the axial directions were analysed. 展开更多
关键词 micromechanical silicon gyroscopes mathematical model Euler′s dynamics equati on
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