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Global Strong Solutions to the Nonhomogeneous Boussinesq Equations for Magnetohydrodynamics Convection with Zero Heat Diffusion and Large Initial Data
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作者 YANG Wanji 《数学进展》 北大核心 2025年第5期992-1014,共23页
We study the two-dimensional(2D)Cauchy problem of nonhomogeneous Boussinesq system for magnetohydrodynamics convection without heat diffusion in the whole plane.Based on delicate weighted estimates,we derive the globa... We study the two-dimensional(2D)Cauchy problem of nonhomogeneous Boussinesq system for magnetohydrodynamics convection without heat diffusion in the whole plane.Based on delicate weighted estimates,we derive the global existence and uniqueness of strong solutions.In particular,the initial data can be arbitrarily large and the initial density may contain vacuum states and even have compact support. 展开更多
关键词 nonhomogeneous Boussinesq-MHD system global well-posedness Cauchy problem zero heat diffusion large initial data
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A novel quasi-zero stiffness isolator with designable stiffness using cam-roller-spring-rod mechanism
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作者 Yonglei Zhang Hao Wen +1 位作者 Haiyan Hu Dongping Jin 《Acta Mechanica Sinica》 2025年第6期158-170,共13页
Quasi-zero stiffness(QZS)isolators have received considerable attention over the past years due to their outstanding vibration isolation performance in low-frequency bands.However,traditional mechanisms for achieving ... Quasi-zero stiffness(QZS)isolators have received considerable attention over the past years due to their outstanding vibration isolation performance in low-frequency bands.However,traditional mechanisms for achieving QZS suffer from low stiffness regions and significant nonlinear restoring forces with hardening characteristics,often struggling to withstand excitations with high amplitude.This paper presents a novel QZS vibration isolator that utilizes a more compact spring-rod mechanism(SRM)to provide primary negative stiffness.The nonlinearity of SRM is adjustable via altering the raceway of its spring-rod end,along with the compensatory force provided by the cam-roller mechanism so as to avoid complex nonlinear behaviors.The absolute zero stiffness can be achieved by a well-designed raceway curve with a concise mathematical expression.The nonlinear stiffness with softening properties can also be achieved by parameter adjustment.The study begins with the forcedisplacement relationship of the integrated mechanism first,followed by the design theory of the cam profile.The dynamic response and absolute displacement transmissibility of the isolation system are obtained based on the harmonic balance method.The experimental results show that the proposed vibration isolator maintains relatively low-dynamic stiffness even under non-ideal conditions,and exhibits enhanced vibration isolation performance compared to the corresponding linear isolator. 展开更多
关键词 Vibration isolation Quasi-zero stiffness Spring-rod mechanism Cam-roller mechanism Absolute zero stiffness
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Nature-Inspired Upward Hanging Evaporator with Photothermal 3D Spacer Fabric for Zero-Liquid-Discharge Desalination
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作者 Ye Peng Yang Shao +3 位作者 Longqing Zheng Haoxuan Li Meifang Zhu Zhigang Chen 《Nano-Micro Letters》 2026年第1期545-561,共17页
While desalination is a key solution for global freshwater scarcity,its implementation faces environmental challenges due to concentrated brine byproducts mainly disposed of via coastal discharge systems.Solar interfa... While desalination is a key solution for global freshwater scarcity,its implementation faces environmental challenges due to concentrated brine byproducts mainly disposed of via coastal discharge systems.Solar interfacial evaporation offers sustainable management potential,yet inevitable salt nucleation at evaporation interfaces degrades photothermal conversion and operational stability via light scattering and pathway blockage.Inspired by the mangrove leaf,we propose a photothermal 3D polydopamine and polypyrrole polymerized spacer fabric(PPSF)-based upward hanging model evaporation configuration with a reverse water feeding mechanism.This design enables zero-liquiddischarge(ZLD)desalination through phase-separation crystallization.The interconnected porous architecture and the rough surface of the PPSF enable superior water transport,achieving excellent solar-absorbing efficiency of 97.8%.By adjusting the tilt angle(θ),the evaporator separates the evaporation and salt crystallization zones via controlled capillary-driven brine transport,minimizing heat dissipation from brine discharge.At an optimal tilt angle of 52°,the evaporator reaches an evaporation rate of 2.81 kg m^(−2) h^(−1) with minimal heat loss(0.366 W)under 1-sun illumination while treating a 7 wt%waste brine solution.Furthermore,it sustains an evaporation rate of 2.71 kg m^(−2) h^(−1) over 72 h while ensuring efficient salt recovery.These results highlight a scalable,energy-efficient approach for sustainable ZLD desalination. 展开更多
关键词 DESALINATION Solar interfacial evaporation Biomimetic design zero liquid discharge Thermal management
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Anomaly Detection Method of Power Internet of Things Terminals in Zero-Trust Environment
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作者 Sun Pengzhan Ren Yinlin +2 位作者 Shao Sujie Yang Chao Qiu Xuesong 《China Communications》 2026年第1期290-305,共16页
With more and more IoT terminals being deployed in various power grid business scenarios,terminal reliability has become a practical challenge that threatens the current security protection architecture.Most IoT termi... With more and more IoT terminals being deployed in various power grid business scenarios,terminal reliability has become a practical challenge that threatens the current security protection architecture.Most IoT terminals have security risks and vulnerabilities,and limited resources make it impossible to deploy costly security protection methods on the terminal.In order to cope with these problems,this paper proposes a lightweight trust evaluation model TCL,which combines three network models,TCN,CNN,and LSTM,with stronger feature extraction capability and can score the reliability of the device by periodically analyzing the traffic behavior and activity logs generated by the terminal device,and the trust evaluation of the terminal’s continuous behavior can be achieved by combining the scores of different periods.After experiments,it is proved that TCL can effectively use the traffic behaviors and activity logs of terminal devices for trust evaluation and achieves F1-score of 95.763,94.456,99.923,and 99.195 on HDFS,BGL,N-BaIoT,and KDD99 datasets,respectively,and the size of TCL is only 91KB,which can achieve similar or better performance than CNN-LSTM,RobustLog and other methods with less computational resources and storage space. 展开更多
关键词 anomaly detection distributed machine learning power internet of Things zero trust
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Zero通道下MISS TLIF联合Zina钉治疗腰椎间盘突出症 被引量:2
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作者 史柏娜 赵敏 +5 位作者 周江军 付美清 肖春林 程彬 余专一 程球新 《临床骨科杂志》 2016年第6期669-671,共3页
目的:探讨Zero通道下微创经椎间孔入路行椎管减压、椎间融合( MISS TLIF)联合Zina钉治疗腰椎间盘突出症的临床疗效。方法对55例腰椎间盘突出症患者采用后路切口经多裂肌肉间隙入路、经Zero 通道下行MISS TLIF联合Zina钉技术治疗。其... 目的:探讨Zero通道下微创经椎间孔入路行椎管减压、椎间融合( MISS TLIF)联合Zina钉治疗腰椎间盘突出症的临床疗效。方法对55例腰椎间盘突出症患者采用后路切口经多裂肌肉间隙入路、经Zero 通道下行MISS TLIF联合Zina钉技术治疗。其中单侧减压49例,双侧减压5例,单侧入路双侧减压1例。采用Nakai分级评定临床疗效。结果患者均获得随访,时间6-18个月。患者腰痛和下肢放射性麻木等临床症状均有效缓解,临床疗效按Nakai分级评定:优25例,良29例,可1例,优良率为98.18%。结论 Zero通道下MISS TLIF联合Zina钉治疗腰椎间盘突出症能显著缓解患者症状,改善功能,近期疗效好。 展开更多
关键词 腰椎间盘突出症 zero通道 微创经椎间孔腰椎间融合术 Zina
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Asymptotic Stability in the Large of Zero Solution of Second Order Nonlinear Differential Equation 被引量:2
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作者 王德利 谭远顺 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第2期13-16,共4页
There are many works on the asymptotic stability of second dimensional nonlinear differential equation. In particular, these results only concern with the system which includes one or two terms, whereas few works conc... There are many works on the asymptotic stability of second dimensional nonlinear differential equation. In particular, these results only concern with the system which includes one or two terms, whereas few works concern with system which includes more than two terms. In this paper, system which includes four nonlinear terms are studies. We obtain the global asymptotic stability of zero solution, and discard the condition which require the Liapunov function trends to infinity, and only require that the positive orbit is bounded. 展开更多
关键词 nonlinear differential equation zero solution globally asymptotic stability
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A NOVEL PHASE SHIFTED ZERO VOLTAGE SWITCHED PWM CONVERTER
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作者 阮新波 严仰光 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1999年第1期33-40,共8页
Phase shifted converter realizes zero voltage switching (ZVS) with the use of leakage inductance of the main transformer, however, the realization of ZVS for lagging bridge leg is difficult. This paper proposes a c... Phase shifted converter realizes zero voltage switching (ZVS) with the use of leakage inductance of the main transformer, however, the realization of ZVS for lagging bridge leg is difficult. This paper proposes a current enhanced principle, and based on the principle, a novel phase shifted converter is proposed, which adds an auxi liary resonant net to the conventional full bridge converter to help the lagging bridge leg to realize ZVS. The principle and the design of the novel converter are analyzed, and the simulational and experimental results verify the principle. 展开更多
关键词 zero voltage switching resonant converter SIMULATION
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Relevance of zero lift drag coefficient and lift coefficient to Mach number for large aspect ratio winged rigid body
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作者 董素荣 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2015年第3期270-274,共5页
Synthetic analysis is conducted to the wind tunnel experiment results of zero lift drag coefficient and lift coefficient for large aspect ratio winged rigid body.By means of wind tunnel experiment data,the dynamics mo... Synthetic analysis is conducted to the wind tunnel experiment results of zero lift drag coefficient and lift coefficient for large aspect ratio winged rigid body.By means of wind tunnel experiment data,the dynamics model of the zero lift drag coefficient and lift coefficient for the large aspect ratio winged rigid body is amended.The research indicates that the change trends of zero lift drag coefficient and lift coefficient to Mach number are similar.The calculation result and wind tunnel experiment data all verify the validity of the amended dynamics model by which to estimate the zero lift drag coefficient and lift coefficient for the large aspect ratio winged rigid body,and thus providing some technical reference to aerodynamics character analysis of the same types of winged rigid body. 展开更多
关键词 winged rigid body zero lift drag coefficient lift coefficient wind tunnel experiment dynamic characteristics
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Power System State Estimation Solution With Zero Injection Constraints Using Modified Newton Method and Fast Decoupled Method in Polar Coordinate 被引量:13
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作者 GUO Ye ZHANG Boming +1 位作者 WU Wenchuag SUN Hongbin 《中国电机工程学报》 EI CSCD 北大核心 2012年第22期I0015-I0015,11,共1页
In actual power systems,most of the high-voltage buses of the transformers are zero injection buses without load or generation.Power injections into these buses are strictly 0,so based on Kirchhoff's current law(K... In actual power systems,most of the high-voltage buses of the transformers are zero injection buses without load or generation.Power injections into these buses are strictly 0,so based on Kirchhoff's current law(KCL),equality constraints should be used to handle these buses in a state estimation model.It is a challenge to ensure that these zero injection constraints can be strictly satisfied without losing computational efficiency. 展开更多
关键词 state estimation zero injection equality constraints polar coordinate modified Newton method modified fast decoupled state estimation
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Reduced graphene oxide-nano zero value iron(rGO-nZVI) micro-electrolysis accelerating Cr(Ⅵ) removal in aquifer 被引量:15
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作者 Liming Ren Jun Dong +1 位作者 Zifang Chi Huazheng Huang 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2018年第11期96-106,共11页
Nanoscale zero-valent iron (nZVI) assembled on graphene oxide (GO) (rGO-nZVI) composites were synthesized by reduction of GO and ferrous ions with potassium borohydride, for use in Cr(VI) removal from aqueous ... Nanoscale zero-valent iron (nZVI) assembled on graphene oxide (GO) (rGO-nZVI) composites were synthesized by reduction of GO and ferrous ions with potassium borohydride, for use in Cr(VI) removal from aqueous solution. The results showed that the two-dimensional structure of GO could provide a skeleton support for Fe0, thus overcoming the bottleneck of aggregation for nZVI. Also, rGO-nZVI would form a ferric-carbon micro-electrolysis system in Cr(VI)-contaminated aquifers, enhancing and accelerating electron transfer, exhibiting high rate and capacity for Cr(VI) removal. The optimum dosage of the applied rGO-nZVI was linearly correlated with the initial Cr(VI) concentration. Characterization of rGO-nZVI before and after reaction with Cr(VI) revealed the process of Cr(VI) removal: rGO-nZVI firstly transferred electrons from Fe0 cores via their Fe(II)/Fe(III) shells to the GO sheet; there, negatively charged Cr(VI) received electrons and changed into positively charged Cr(III), which was adsorbed by the negatively charged GO sheet, avoiding the capping and passivating of nZVI rGO-nZVI formed a good electrically conductive network, and thus had long-term electron releasing properties, which was important for groundwater remediation. 展开更多
关键词 Reduced graphene oxide-nano zero value iron (rGO-nZVI) Micro-electrolysis Cr(VI) removal Groundwater remediation
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ZEROS OF ENTIRE SOLUTIONS TO COMPLEX LINEAR DIFFERENCE EQUATIONS 被引量:7
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作者 陈宗煊 《Acta Mathematica Scientia》 SCIE CSCD 2012年第3期1141-1148,共8页
In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the o... In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the order of growth of entire solutions to complex linear difference equations. 展开更多
关键词 Linear difference equation complex oscillation zero order of growth
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Zeros of Differential Polynomial f(z)f(k)(z) -- a and Its Normality 被引量:6
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作者 LU Qian GU Yong-xing 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第1期75-80,共6页
Suppose that function f(z) is transcendental and meromorphic in the plane. The aim of this work is to investigate the conditions in which differential monomials f(z)f(k)(z) takes any non-zero finite complex nu... Suppose that function f(z) is transcendental and meromorphic in the plane. The aim of this work is to investigate the conditions in which differential monomials f(z)f(k)(z) takes any non-zero finite complex number infinitely times and to consider the normality relation to differential monomials f(z)f(k) (z). 展开更多
关键词 differential polynomial meromorphic functions zeroS normlity
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Some results on zeros and uniqueness of difference-differential polynomials 被引量:5
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作者 LIU Kai LIU Xin-ling CAO Ting-bin 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2012年第1期94-104,共11页
We consider the zeros distributions of difference-differential polynomials which are the derivatives of difference products of entire functions. We also investigate the uniqueness problems of difference-differential p... We consider the zeros distributions of difference-differential polynomials which are the derivatives of difference products of entire functions. We also investigate the uniqueness problems of difference-differential polynomials of entire functions sharing a common value. 展开更多
关键词 zero sharing value UNIQUENESS difference-differential polynomial.
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Advanced treatment of biologically pretreated coking wastewater by intensified zero-valent iron process(IZVI) combined with anaerobic filter and biological aerated filter(AF/BAF) 被引量:4
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作者 潘碌亭 韩悦 吴锦峰 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第10期3781-3787,共7页
Experiments were conducted to investigate the behavior of the sequential system of intensified zero-valent iron process(IZVI) and anaerobic filter and biological aerated filter(AF/BAF) reactors for advanced treatment ... Experiments were conducted to investigate the behavior of the sequential system of intensified zero-valent iron process(IZVI) and anaerobic filter and biological aerated filter(AF/BAF) reactors for advanced treatment of biologically pretreated coking wastewater. Particular attention was paid to the performance of the integrated system for the removal of chemical oxygen demand(COD), ammonia nitrogen(NH3-N) and total nitrogen(TN). The average removal efficiencies of COD, NH3-N and TN were 76.28%, 96.76% and 59.97%, with the average effluent mass concentrations of 56, 0.53 and 18.83 mg/L, respectively, reaching the first grade of the national discharge standard. Moreover, the results of gas chromatography/mass spectrum(GC/MS) and gel permeation chromatography(GPC) analysis demonstrated that the refractory organic compounds with high relative molecular mass were partly removed in IZVI process by the function of oxidation-reduction, flocculation and adsorption which could also enhance the biodegradability of the system effluent. The removal efficiencies of NH3-N and TN were achieved mainly in the subsequent AF/BAF reactors by nitrification and denitrification. Overall, the results obtained show that the application of IZVI in combination with AF/BAF is a promising technology for advanced treatment of biologically pretreated coking wastewater. 展开更多
关键词 advanced treatment coking wastewater intensified zero valent iron BIOFILTER
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DISTRIBUTION OF ZEROS OF SOLUTIONS OF FIRST ORDER DELAY DIFFERENTIAL EQUATIONS 被引量:4
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作者 Tang Xianhua\ Yu Jianshe 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1999年第4期375-380,共6页
The paper gives two estimates of the distance between adjacent zeros of solutions of the first\|order delay differential equation x′(t)+p(t)x(t-τ) =0 in the case when p(t)≥0 and ∫ t t-τ p(s)d s-1e ... The paper gives two estimates of the distance between adjacent zeros of solutions of the first\|order delay differential equation x′(t)+p(t)x(t-τ) =0 in the case when p(t)≥0 and ∫ t t-τ p(s)d s-1e oscillates or p(t) itself oscillates. 展开更多
关键词 Delay differentialequation distance betw een adjacent zeros estim ation
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基于改进Zero−DCE模型的矿井低照度图像增强方法 被引量:2
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作者 王轶玮 李晓宇 +1 位作者 翁智 白凤山 《工矿自动化》 北大核心 2025年第2期57-64,99,共9页
煤矿井下监控图像中存在噪声,清晰度低,且颜色和纹理信息缺失,采用基于机器学习的图像增强方法时还面临低照度−正常照度图像配对数据集采集困难的问题。提出一种改进零参考深度曲线估计(Zero−DCE)模型,并将其应用于矿井低照度图像增强... 煤矿井下监控图像中存在噪声,清晰度低,且颜色和纹理信息缺失,采用基于机器学习的图像增强方法时还面临低照度−正常照度图像配对数据集采集困难的问题。提出一种改进零参考深度曲线估计(Zero−DCE)模型,并将其应用于矿井低照度图像增强。使用Leaky ReLU激活函数替换Zero−DCE模型中的ReLU激活函数,以加快模型收敛速度,提升低照度图像特征学习效率;在Zero−DCE模型浅层与深层网络之间的跳跃连接处引入卷积块注意力模块(CBAM),以提高模型对图像关键特征的表达能力;在浅层网络中引入非对称卷积块(ACB),以优化模型对局部图像特征的学习能力和细节特征的表现能力;在深层网络中采用串联卷积核(CCK),以降低模型参数量和计算量,缩短模型训练时间。采用LOL公共数据集和矿井自建数据集进行实验验证,结果表明:改进Zero−DCE模型的均方误差(MSE)、峰值信噪比(PSNR)、结构相似性(SSIM)、自然图像质量评估器(NIQE)和视觉信息保真度(VIF)整体上优于典型图像增强模型,在自建数据集上的MSE和NIQE较Zero−DCE模型分别降低16.25%和2.93%,PSNR,SSIM和VIF分别提高2.87%,1.87%和17.64%;图像增强视觉效果较好,可在提高图像亮度的同时有效保留细节纹理信息,降噪效果明显;对单幅图像的推理时间为0.138 s,可实现图像实时增强。 展开更多
关键词 矿井低照度图像 图像增强 零参考深度曲线估计网络 zero−DCE模型 无监督学习
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Environmental application and ecological significance of nano-zero valent iron 被引量:13
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作者 Biruck D.Yirsaw Mallavarapu Megharaj +1 位作者 Zuliang Chen Ravi Naidu 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2016年第6期88-98,共11页
Toxicity studies considering both the bare and stabilized forms of zero valent iron nanoparticles(nZVI) could be timely, given that ecological risks identified are minimized through modification or with substitution... Toxicity studies considering both the bare and stabilized forms of zero valent iron nanoparticles(nZVI) could be timely, given that ecological risks identified are minimized through modification or with substitution of approaches in the synthesis, development and environmental application of the nanoparticles before succeeding to volume production.This review is focused on the fate, transport and toxicological implications of the bare nZVI and surface modified particles used for environmental applications. 展开更多
关键词 Nano zero valent iron Stabilized form of nZVI Toxicity
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Combined zero valent iron and hydrogen peroxide conditioning significantly enhances the dewaterability of anaerobic digestate 被引量:2
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作者 Qilin Wang Jing Sun +6 位作者 Kang Song Xu Zhou Wei Wei Dongbo Wang Guo-Jun Xie Yanyan Gong Beibei Zhou 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2018年第5期378-386,共9页
The importance of enhancing sludge dewaterability is increasing due to the considerable impact of excess sludge volume on disposal costs and on overall sludge management. This study presents an innovative approach to ... The importance of enhancing sludge dewaterability is increasing due to the considerable impact of excess sludge volume on disposal costs and on overall sludge management. This study presents an innovative approach to enhance dewaterability of anaerobic digestate(AD) harvested from a wastewater treatment plant. The combination of zero valent iron(ZVI, 0–4.0 g/g total solids(TS)) and hydrogen peroxide(HP, 0–90 mg/g TS) under pH 3.0 significantly enhanced the AD dewaterability. The largest enhancement of AD dewaterability was achieved at 18 mg HP/g TS and 2.0 g ZVI/g TS, with the capillary suction time reduced by up to 90%. Economic analysis suggested that the proposed HP and ZVI treatment has more economic benefits in comparison with the classical Fenton reaction process. The destruction of extracellular polymeric substances and cells as well as the decrease of particle size were supposed to contribute to the enhanced AD dewaterability by HP + ZVI conditioning. 展开更多
关键词 Anaerobic digestate DEWATERABILITY SLUDGE zero valent iron Hydrogen peroxide
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ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS 被引量:2
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作者 蓝双婷 陈宗煊 《Acta Mathematica Scientia》 SCIE CSCD 2013年第2期556-564,共9页
In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcen... In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcendental solution f(z) of equation……satisfies )λ(f) =∞, where A(f) denotes the exponent of convergence of zeros of the meromor- phic function f(z). 展开更多
关键词 Differential equation exponent of convergence of zeros TYPE
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Relative energy zero ratio-based approach for identifying pulse-like ground motions 被引量:2
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作者 Liu Ping Li Ning +2 位作者 Ma Hua Xie Lili Zhou Baofeng 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2020年第1期1-16,共16页
Pulse-like ground motions are capable of inflicting significant damage to structures. Efficient classification of pulse-like ground motion is of great importance when performing the seismic assessment in near-fault re... Pulse-like ground motions are capable of inflicting significant damage to structures. Efficient classification of pulse-like ground motion is of great importance when performing the seismic assessment in near-fault regions. In this study, a new method for identifying the velocity pulses is proposed, based on different trends of two parameters: the short-time energy and the short-time zero crossing rate of a ground motion record. A new pulse indicator, the relative energy zero ratio(REZR), is defined to qualitatively identify pulse-like features. The threshold for pulse-like ground motions is derived and compared with two other identification methods through statistical analysis. The proposed procedure not only shows good accuracy and efficiency when identifying pulse-like ground motions but also exhibits good performance for classifying records with high-frequency noise and discontinuous pulses. The REZR method does not require a waveform formula to express and fit the potential velocity pulses;it is a purely signal-based classification method. Finally, the proposed procedure is used to evaluate the contribution of pulse-like motions to the total input energy of a seismic record, which dramatically increases the seismic damage potential. 展开更多
关键词 pulse-like ground motion velocity pulse relative energy zero-crossing ratio short-time input energy shorttime zero crossing rate
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