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Normalized Solutions of Nonlinear Choquard Equations with Nonconstant Potential
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作者 LI Nan XU Liping 《应用数学》 北大核心 2025年第1期14-29,共16页
In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with ... In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with prescribed 2-norm has some normalized solutions by introducing variational methods. 展开更多
关键词 Nonlinear Choquard equation Potential function Variational method Normalized solution
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Solution loss behavior of cokes and its kinetics under hydrogen-enriched atmosphere
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作者 YAN Jingchong MA Kaixiang +6 位作者 GE Rong LEI Zhiping LI Zhanku ZHANG Weidong REN Shibiao WANG Zhicai SHUI Hengfu 《燃料化学学报(中英文)》 北大核心 2025年第7期1123-1136,共14页
Hydrogen-enriched ironmaking presents a promising approach to mitigate coke consumption and carbon emission in blast furnace(BF)operations.This work investigated the relationship between the structural features of cok... Hydrogen-enriched ironmaking presents a promising approach to mitigate coke consumption and carbon emission in blast furnace(BF)operations.This work investigated the relationship between the structural features of cokes and their reactivity towards solution loss(SL),especially under hydrogen-enriched atmospheres.Six cokes were characterized,and their SL behaviors were examined under varying atmospheres to elucidate the effects of hydrogen enrichment.The results indicate that an increase in fixed carbon content leads to a decrease in the coke reactivity index(CRI)and an increase in coke strength after reaction(CSR),in the CO_(2) atmosphere,the CSR of coke increases from 35.76%−62.83%,while in the 90CO_(2)/10H_(2) atmosphere,the CSR of coke increases from 65.67%−84.09%.There is a good linear relationship between CRI and microcrystalline structure parameters of coke.Cokes with larger crystalline size,lower amorphous content,and smaller optical texture index(OTI)values show enhanced resistance to degradation and maintain structural integrity in BF.Kinetic analysis performed with the shifted-modified-random pore model(S-MRPM)reveals that alterations in pore structure and intrinsic mineral composition significantly influence the reaction rate.The introduction of a small amount of water vapor raises SL rates,whereas a minor addition of hydrogen(<10%)decelerates SL due to its incomplete conversion to water vapor and the reduced partial pressure of the gasifying agent.Thermodynamic calculations also indicate that the introduced hydrogen does not convert into the same fraction of water vapor.The shift from chemical reaction control to gas diffusion control as the rate-determining step with rising temperatures during SL process was confirmed,and the introduction of hydrogen does not notably alter SL behavior.This result demonstrated that introducing a small amount of hydrogen(<10%)can mitigate SL rates,thereby enhancing coke strength and reducing coke consumption and carbon emissions. 展开更多
关键词 hydrogen-enrichment cokes solution loss KINETICS activation energy
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Stochastic Periodic Solutions for Two Populations Game Models with Impulses
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作者 HOU Meiting QIU Xiaoling 《应用数学》 北大核心 2025年第2期453-467,共15页
The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding sto... The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding stochastic and impulse. For the stochastic model without impulses, the existence and uniqueness of solution, and the existence of positive periodic solutions are proved, and a sufficient condition for strategy extinction is given. For the stochastic model with impulses, the existence of positive periodic solutions is proved. Numerical results show that noise and impulses directly affect the model, but the periodicity of the model does not change. 展开更多
关键词 Periodic solution Stochastic game IMPULSES Strategy extinct
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Existence of Multi-bump Solutions for Planar Schrödinger-Poisson System
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作者 ZHANG Xiaoyun 《应用数学》 北大核心 2025年第4期1053-1066,共14页
In this paper,by using the method of Lyapunov-Schmidt reduction,we obtain the existence of multi-bump solutions for planar Schrödinger-Poisson system.
关键词 Planar Schrödinger-Poisson system Multi-bump solution Lyapunov-Schmidt reduction
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Normalized Positive Ground State Solutions for Nonhomogeneous Kirchhoff Equations
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作者 ZHANG Xiaocang XU Liping 《应用数学》 北大核心 2025年第3期711-720,共10页
This article studies a class of nonlinear Kirchhoff equations with exponential critical growth,trapping potential,and perturbation.Under appropriate assumptions about f and h,the article obtained the existence of norm... This article studies a class of nonlinear Kirchhoff equations with exponential critical growth,trapping potential,and perturbation.Under appropriate assumptions about f and h,the article obtained the existence of normalized positive solutions for this equation via the Trudinger-Moser inequality and variational methods.Moreover,these solutions are also ground state solutions.Additionally,the article also characterized the asymptotic behavior of solutions.The results of this article expand the research of relevant literature. 展开更多
关键词 Normalized positive ground state solution Nonhomogeneous Kirchhoff equation Variational method Exponential critical growth Trapping potential
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Stress gradient analytic solution and reasonable support prestress of roadway surrounding rock based on unified strength criterion:A case study
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作者 JING Suo-lin WEN Zhi-jie +2 位作者 ZUO Yu-jun LI Qiu-ju HAO Peng 《Journal of Central South University》 2025年第2期449-468,共20页
The stress gradient of surrounding rock and reasonable prestress of support are the keys to ensuring the stability of roadways.The elastic-plastic analytical solution for surrounding rock was derived based on unified ... The stress gradient of surrounding rock and reasonable prestress of support are the keys to ensuring the stability of roadways.The elastic-plastic analytical solution for surrounding rock was derived based on unified strength theory.A model for solving the stress gradient of the surrounding rock with the intermediate principal stress parameter b was established.The correctness and applicability of the solution for the stress gradient in the roadway surrounding rock was verified via multiple methods.Furthermore,the laws of stress,displacement,and the plastic zone of the surrounding rock with different b values and prestresses were revealed.As b increases,the stress gradient in the plastic zone increases,and the displacement and plastic zone radius decrease.As the prestress increases,the peak stress shifts toward the sidewalls,and the stress and stress gradient increments decrease.In addition,the displacement increment and plastic zone increment were proposed to characterize the support effect.The balance point of the plastic zone area appears before that of the displacement zone.The relationship between the stress gradient compensation coefficient and the prestress is obtained.This study provides a research method and idea for determining the reasonable prestress of support in roadways. 展开更多
关键词 PRESTRESS support compensation surrounding rock damage stress gradient analytic solution unified strength theory
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Localization in modified polar representation: hybrid measurements and closed-form solution 被引量:1
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作者 CONG Xunchao SUN Yimao +2 位作者 YANG Yanbing ZHANG Lei CHEN Liangyin 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2024年第3期575-588,共14页
Classical localization methods use Cartesian or Polar coordinates, which require a priori range information to determine whether to estimate position or to only find bearings. The modified polar representation (MPR) u... Classical localization methods use Cartesian or Polar coordinates, which require a priori range information to determine whether to estimate position or to only find bearings. The modified polar representation (MPR) unifies near-field and farfield models, alleviating the thresholding effect. Current localization methods in MPR based on the angle of arrival (AOA) and time difference of arrival (TDOA) measurements resort to semidefinite relaxation (SDR) and Gauss-Newton iteration, which are computationally complex and face the possible diverge problem. This paper formulates a pseudo linear equation between the measurements and the unknown MPR position,which leads to a closed-form solution for the hybrid TDOA-AOA localization problem, namely hybrid constrained optimization(HCO). HCO attains Cramér-Rao bound (CRB)-level accuracy for mild Gaussian noise. Compared with the existing closed-form solutions for the hybrid TDOA-AOA case, HCO provides comparable performance to the hybrid generalized trust region subproblem (HGTRS) solution and is better than the hybrid successive unconstrained minimization (HSUM) solution in large noise region. Its computational complexity is lower than that of HGTRS. Simulations validate the performance of HCO achieves the CRB that the maximum likelihood estimator (MLE) attains if the noise is small, but the MLE deviates from CRB earlier. 展开更多
关键词 LOCALIZATION modified polar representation time difference of arrival(TDOA) angle of arrival(AOA) closed-form solution
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Malargüe Site Remediation:A Successful Solution for Uranium Mill Tailings
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作者 BARARI E DíAZ J G +1 位作者 GIOMIA KEMPF R A 《原子能科学技术》 EI CAS CSCD 北大核心 2024年第10期2088-2094,共7页
Comisión Nacional de Energía Atómica (CNEA) has the responsibility for restoring uranium mining facilities once the operations have finished.CNEA,within its Environmental Program and in compliance with ... Comisión Nacional de Energía Atómica (CNEA) has the responsibility for restoring uranium mining facilities once the operations have finished.CNEA,within its Environmental Program and in compliance with its legal responsibilities,decides to implement a restoration project for all sites related to the mining and processing of uranium ores.The Malargüe Site is located within the Province of Mendoza in the city of Malargüe.It is the first site to successfully complete its remediation.The activities consist of relocation of tailings to an engineering repository.The tailings management(encapsulation) and rehabilitation of the area was finished in June 2017.The remediation alternative for the ore tailings was selected after conducting comparative studies and submitted the project to the society for consideration.The objective of the encapsulation of the mineral tails is to isolate them from the environment,also proceeding with the decontamination and rehabilitation of the area (landscaping,post-closure monitoring and 20 years monitoring period).Encapsulation consisted of the construction of a containment cell for the mine tailings,to isolate them and prevent pollutants from entering the environment through the transfer routes.To clean the impacted areas,the soil was removed,it was incorporated into the encapsulation,and the filling was carried out with natural soils from the area.Remediation prevents radon transfer to the environment,as ^(222)Ra is an alpha emitter with a half-life of four days,which produces its own radioactive progeny.Radon progeny are solids,and when a ^(222)Ra nucleus emits an alpha particle into the air,the resulting ^(218)Po nucleus,momentarily electrically charged,adheres to any dust particle.Remediation prevents the discharge into the air containing radon and also containing dust particles charged with intensely radioactive radon progeny.The tasks mentioned make it possible to decrease radon emanation,reduce radiological risks to the public and prevent the entry of rainwater into the system.In addition,the containment system prevents the discharge of contaminated liquids into the environment,avoiding contamination of the groundwater.All these activities are according to the concepts of sustainability. 展开更多
关键词 remediation radionuclide transfer TAILINGS ENCAPSULATION solution sustainable
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Single-Entity Collisional Electrochemistry at the Micro-and/or Nano-Interface Between Two Immiscible Electrolyte Solutions
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作者 Li-Fang Yang Jun-Jie Chen +7 位作者 Ling-Yu Chen Si-Qi Jin Tao-Xiong Fang Si-Jia He Liang-Jun Shen Xin-Jian Huang Xiao-Hang Sun Hai-Qiang Deng 《电化学(中英文)》 CAS 北大核心 2024年第11期1-16,I0001,共17页
Single-entity collisional electrochemistry(SECE)is a branch of single-entity electrochemistry.It can directly characterize entities/particles with single particle resolution through random collisions between particles... Single-entity collisional electrochemistry(SECE)is a branch of single-entity electrochemistry.It can directly characterize entities/particles with single particle resolution through random collisions between particles and electrodes in a solution,and obtain rich physicochemical information,thus becoming one of the frontiers of electroanalytical chemistry in the past two decades.Interestingly,the(micro/nanoscale)sensing electrodes have evolved from a polarizable liquid/liquid(mercury/liquid)interface to a solid/liquid interface and then to a liquid/liquid interface(i.e.,an interface between twoimmiscible electrolyte solutions,ITIES),as if they have completed a cycle(but in fact they have not).ITIES has become the latest sensing electrode in the booming SECE due to its polarizability(up to 1.1 V at the water/a,a,a-trifluorotoluene interface)and high reproducibility.The four measurement modes(direct electrolysis,mediated electrolysis,current blockade,and charge displacement)developed in the realm of SECE at solid/liquid interfaces have also been fully realized at the miniature ITIES.This article will discuss these four modes at the ITIES from the perspectives of basic concepts,operating mechanisms,and latest developments(e.g.,discovery of ionosomes,blockade effect of Faradaic ion transfer,etc.),and look forward to the future development and direction of this emerging field. 展开更多
关键词 Single-entity collisional electrochemistry Interface between two immiscible electrolyte solutions Charge transfer
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Thermal and solutal Marangoni convection in three-layered viscous flows:Insights for liquid metal battery optimization
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作者 SHAHEEN Sidra HUANG Hu-lin +2 位作者 ARAIN Muhammad Bilal BHATTI Muhammad Mubashir KHALIQUE Chaudry Masood 《Journal of Central South University》 2025年第6期2087-2100,共14页
This study examines the intricate occurrences of thermal and solutal Marangoni convection in three-layered flows of viscous fluids,with a particular emphasis on their relevance to renewable energy systems.This researc... This study examines the intricate occurrences of thermal and solutal Marangoni convection in three-layered flows of viscous fluids,with a particular emphasis on their relevance to renewable energy systems.This research examines the flow of a three-layered viscous fluid,considering the combined influence of heat and solutal buoyancy driven Rayleigh-Bénard convection,as well as thermal and solutal Marangoni convection.The homotopy perturbation method is used to examine and simulate complex fluid flow and transport phenomena,providing important understanding of the fundamental physics and assisting in the optimization of various battery configurations.The inquiry examines the primary elements that influence Marangoni convection and its impact on battery performance,providing insights on possible enhancements in energy storage devices.The findings indicate that the velocity profiles shown graphically exhibit a prominent core zone characterized by the maximum speed,which progressively decreases as it approaches the walls of the channel.This study enhances our comprehension of fluid dynamics and the transmission of heat and mass in intricate systems,which has substantial ramifications for the advancement of sustainable energy solutions. 展开更多
关键词 viscous fluid three-layered closed geometries electrical conductivity thermal convection solutal convection mass diffusivity homotopy perturbation methods
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基于系统思考的AL Solutions粉尘爆炸事故分析 被引量:14
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作者 李红玉 樊运晓 《安全与环境工程》 CAS 2016年第2期90-95,共6页
近年来粉尘爆炸事故频频发生且后果严重,已造成重大生命和财产损失,同时也产生了不良的社会影响。通过系统思考的方法来分析粉尘爆炸事故原因,以美国AL Solutions粉尘爆炸事故为案例,对事故系统内涉及的主体行为模式进行分析,找出要素... 近年来粉尘爆炸事故频频发生且后果严重,已造成重大生命和财产损失,同时也产生了不良的社会影响。通过系统思考的方法来分析粉尘爆炸事故原因,以美国AL Solutions粉尘爆炸事故为案例,对事故系统内涉及的主体行为模式进行分析,找出要素间相互作用的因果关系构建因果循环图,并结合系统思考的基模探索主体行为模式在动态发展中支配回路的变化情况,分析解决此类事故的杠杆解,从而提出预防事故的建议与措施。 展开更多
关键词 系统思考 AL solutions粉尘爆炸事故 因果循环回路 事故分析
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基于逆向工程的Power Solution整体解决方案
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作者 周新建 张海 《工具技术》 北大核心 2006年第9期32-35,共4页
介绍了DELCAM公司基于逆向工程的Power Solution整体解决方案,包括CopyCAD、PowerSHAPE、Power-MILL、PowerINSPECT等系列软件的功能与特点,并以某汽车模型覆盖件为研究对象,介绍了应用该系列软件进行逆向造型及模具设计的实施过程。
关键词 逆向工程 POWER solution 汽车覆盖件 模具设计
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Scattering of plane P waves by circular-arc layered alluvial valleys: An analytical solution 被引量:27
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作者 梁建文 严林隽 Vincent W.Lee 《地震学报》 CSCD 北大核心 2001年第2期167-184,共18页
An analytical solution for scattering of plane P waves by circular-arc layered alluvial valleys was derived by Fourier-Bessel series expansion technique, and the solution was utilized to analyze the effects of alluvia... An analytical solution for scattering of plane P waves by circular-arc layered alluvial valleys was derived by Fourier-Bessel series expansion technique, and the solution was utilized to analyze the effects of alluvial sequence and their relative stiffness on the scattering of incident waves. 展开更多
关键词 散射 平面P波 圆弧形层状沉积谷地 解析解 地震波 沉积排列顺序 相对刚度
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ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR SYSTEM WITH MULTIPLE DELAYS 被引量:6
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作者 曹显兵 《应用数学和力学》 CSCD 北大核心 2003年第1期105-110,共6页
The existence of T_periodic solutions of the nonlinear system with multiple delays is studied. By using the topological degree method, sufficient conditions are obtained for the existence of T_periodic solutions. As a... The existence of T_periodic solutions of the nonlinear system with multiple delays is studied. By using the topological degree method, sufficient conditions are obtained for the existence of T_periodic solutions. As an application, the existence of positive periodic solution for a logarithmic population model is established under some conditions. 展开更多
关键词 多滞量 周期解 拓扑度 周期扰动非线性系统 单种群对数模型
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改进Closed_Form Solution方法进行前景物体运动模糊抠图 被引量:2
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作者 侯金鑫 张军 《计算机应用研究》 CSCD 北大核心 2013年第5期1554-1557,共4页
针对Closed_Form Solution图像抠图方法在进行前景物体运动模糊抠图时容易受到复杂背景影响而产生抠图不精确问题,提出一种结合运动模糊物体局部梯度统计特征以及透明度连续性特点的抠图方法。该方法在原来Closed_Form Solution方法中... 针对Closed_Form Solution图像抠图方法在进行前景物体运动模糊抠图时容易受到复杂背景影响而产生抠图不精确问题,提出一种结合运动模糊物体局部梯度统计特征以及透明度连续性特点的抠图方法。该方法在原来Closed_Form Solution方法中加入一项含有权重的透明度值之差的约束平滑项,通过相邻像素运动梯度统计特征和透明度差值约束改善传统方法抠图不精确问题。仿真实验和真实运动模糊抠图实验结果表明,改进算法相对传统Closed_Form Solution方法能够更有效地提取出前景物体运动模糊区域,抠图结果更为平滑。 展开更多
关键词 Closed-ForlTl solution抠图 运动模糊 梯度统计特征 透明度
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Copper smelter slag treatment by ammonia solution:Leaching process optimization 被引量:12
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作者 R. Nadirov L. Syzdykova A. Zhussupova 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第12期2799-2804,共6页
The feasibility of copper smelter slag processing by ammonia solution treatment was investigated. The central composite rotatable design(CCRD) and approximation method were used to determine the optimum conditions of ... The feasibility of copper smelter slag processing by ammonia solution treatment was investigated. The central composite rotatable design(CCRD) and approximation method were used to determine the optimum conditions of zinc and copper recovery to a solution. The experimental design was done at five levels of the four operating parameters which were the initial concentration of NH–3, the initial Cl ions concentration, leaching time and solid/liquid ratio. Two mathematical models describing dependence of metal recovery on the operating parameters were obtained. The models are successful in predicting the responses. It was found that optimal parameters for zinc and copper recovery are as follows(values for copper are given in brackets): initial CNH3 17.1%(19.9%), initial CCl– 160 g/L(160 g/L), leaching process duration 4.56 h(4.13 h), solid/liquid ratio 0.39(0.53). The maximum Zn and Cu recoveries to solution, obtained experimentally under the conditions, are 81.16% and 56.48%, respectively. 展开更多
关键词 COPPER SLAG AMMONIA solution metal RECOVERY CENTRAL composite design OPTIMIZATION
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GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA
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作者 刘法贵 孔德兴 《应用数学和力学》 EI CSCD 北大核心 2004年第6期643-652,共10页
By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result o... By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow-up phenomena of classical solutions of these systems. These results show that the dissipation is strong enough to preserve the smoothness of ‘small ’ solution. 展开更多
关键词 多孔介质 可压缩流体力学 方程组 经典解 整体存在性 破裂
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SELECTIVE DISSOLUTION OF GOLD IN AN ALKALINETHIOUREA SOLUTION BY ELECTROLYSIS 被引量:8
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作者 Zhang Chuanfu Chai Liyuan +1 位作者 Zhong Haiyun (Department of Nonferrous Metallurgy, Central South University of Technology, Changsha 410083, China)Masazumi Okido RyouichiIchino(center erforIntegratedResearchinScienceandEngineering NagoyaUniversity,Nagoya464,Ja 《Journal of Central South University》 SCIE EI CAS 1997年第2期73-78,共6页
Anodic polarization behavior of gold, silver, copper, nickel and iron in potentiostatic condition has been examined in an alkaline aqueous thiourea solution, where gold is hardly dissoluble normally. The addition of N... Anodic polarization behavior of gold, silver, copper, nickel and iron in potentiostatic condition has been examined in an alkaline aqueous thiourea solution, where gold is hardly dissoluble normally. The addition of Na2SO3 into the solution can accelerate anodic dissolution of gold. The factors affecting selective dissolution of gold in the alkaline thiourea solution by electrolysis have been studied, and the optimum condition was obtained. In 0.1 mol/L thiourea solution of pH 12. 5 containing 0. 5 mol/L Na2SO3 and 2. 5% acetone, at the potential of 0. 34 V vs NHE, at the temperature of 323 K, the dissolved mass of gold anode with the exposed area of 1. 0 cm2 reached more than 300 mg·dm-3 within 30 min, and other metals such as silver, copper, nickel and iron could hardly dissolve. 展开更多
关键词 polarization behavior selective dissolution of GOLD ELECTROLYSIS ALKALINE THIOUREA solution sodium SULFITE
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Unified analytical solution for deep circular tunnel with consideration of seepage pressure,grouting and lining 被引量:6
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作者 LI Xue-feng DU Shou-ji CHEN Bing 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第6期1483-1493,共11页
A new unified analytical solution is presented for predicting the range of plastic zone and stress distributions around a deep circular tunnel in a homogeneous isotropic continuous medium. The rock mass, grouting zone... A new unified analytical solution is presented for predicting the range of plastic zone and stress distributions around a deep circular tunnel in a homogeneous isotropic continuous medium. The rock mass, grouting zone and lining are assumed as elastic-perfectly plastic and governed by the unified strength theory(UST). This new solution has made it possible to consider the interaction between seepage pressure, lining, grouting and rock mass, and the intermediate principal stress effect together. Moreover, parametric analysis is carried out to identify the influence of the related parameters on the plastic zone radius. Under the given conditions, the results show that the plastic zone radius decreases with an increasing cohesion, internal friction angle and hydraulic conductivity of lining and unified failure criterion parameter, respectively; whereas the plastic zone radius increases with the growth of elasticity modulus of lining. Comparison of results from the new solution and the other published one shows well agreement and provides confidence in the new solution proposed. 展开更多
关键词 UNIFIED strength theory (UST) INTERMEDIATE principal stress SEEPAGE pressure GROUTING LINING analytical solution
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Dual solutions of MHD stagnation point flow and heat transfer over a stretching/shrinking sheet with generalized slip condition 被引量:3
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作者 ABBAS Zaheer MASOOD Tahmina OLANREWAJU Philip Oladapo 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第6期2376-2384,共9页
An analysis was made to study the steady momentum and heat transfer characteristics of a viscous electrically conducting fluid near a stagnation point due to a stretching/shrinking sheet in the presence of a transvers... An analysis was made to study the steady momentum and heat transfer characteristics of a viscous electrically conducting fluid near a stagnation point due to a stretching/shrinking sheet in the presence of a transverse magnetic field and generalized slip condition. Two flow problems corresponding to the planar and axisymmetric stretching/shrinking sheet were considered. By means of similarity transformations, the obtained resultant nonlinear ordinary differential equations were solved numerically using a shooting method for dual solutions of velocity and temperature profiles. Some important physical features of the flow and heat transfer in terms of the fluid velocity, the temperature distribution, the skin friction coefficient and the local Nusselt number for various values of the controlling governing parameters like velocity slip parameter, critical shear rate, magnetic field, ratio of stretching/shrinking rate to external flow rate and Prandtl number were analyzed and discussed. An increase of the critical shear rate decreases the fluid velocity whereas the local Nusselt number increases. The comparison of the present numerical results with the existing literature in a limiting case is given and found to be in an excellent agreement. 展开更多
关键词 dual solutions stagnation-point MHD flow slip condition heat transfer numerical solution transverse magnetic fields
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