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Scalable and facile synthesis of V_(2)O_(5) nanoparticles via ball milling for improved aerobic oxidative desulfurization 被引量:6
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作者 Yiru Zou Chao Wang +6 位作者 Hanxiang Chen Haiyan Ji Qian Zhu Wenshu Yang Linlin Chen Zhigang Chen Wenshuai Zhu 《Green Energy & Environment》 SCIE CSCD 2021年第2期169-175,共7页
In recent years, transition-metal oxides(TMOs) have been long employed for aerobic oxidative desulfurization. However, the inherent bottlenecks, such as the low explosion of active sites, limit the application of bulk... In recent years, transition-metal oxides(TMOs) have been long employed for aerobic oxidative desulfurization. However, the inherent bottlenecks, such as the low explosion of active sites, limit the application of bulk TMOs catalyst. In this study, V_(2)O_(5) nanoparticles with oxygen vacancies were prepared in large-scale via facile ball milling strategy with adding oxalic acid as a reducing agent. The as-prepared catalysts exhibit remarkable sulfur removal for oils with different initial S-concentrations and different substrates. Sulfur removal could reach up to 99.7%(< 2 ppm) under the optimized reaction conditions. This work provides a feasible desulfurization strategy for fuel oils. 展开更多
关键词 ball milling V_(2)O_5 nanoparticles Oxygen vacancies Aerobic oxidative desulfurization
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Correlating common breakage modes with impact breakage and ball milling of cement clinker and chromite 被引量:2
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作者 Mahmut Camalan 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2020年第6期901-908,共8页
Understanding the mechanisms of the breakage of ore particles is important to predict the particle size distribution in size reduction operations.This paper aims to show the presence of common breakage modes in impact... Understanding the mechanisms of the breakage of ore particles is important to predict the particle size distribution in size reduction operations.This paper aims to show the presence of common breakage modes in impact breakage and ball milling of the cement clinker and chromite samples.For that purpose,narrow size fractions of the two samples were broken in a drop-weight tester or ball mill by changing the degree of applied energy.Then the resultant size distributions were evaluated to seek evidence for the common breakage modes.The results showed that increasing the breakage energy will produce a systematic change in the shapes of the size distributions,suggesting a sequential set of breakage modes.The breakage is initially due to tensile stresses at low breakage energies and compressive stresses at high breakage energies.Further studies should be done to assess if these breakage modes occur at sizereduction of different ores. 展开更多
关键词 Progeny distribution Impact breakage ball mill SELF-SIMILARITY Breakage modes Cone of fines
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Synthesis of Nano-Size AlN Powders by Carbothermal Reduction from Plasma-Assisted Ball Milling Precursor 被引量:3
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作者 刘志杰 王文春 +2 位作者 杨德正 王森 戴乐阳 《Plasma Science and Technology》 SCIE EI CAS CSCD 2016年第7期759-763,共5页
Nano-size aluminum nitride (A1N) powders have been successfully synthesized with a high efficiency method through annealing from milling assisted by discharge plasma (p-milling) alumina (Al2O3) precursors. The c... Nano-size aluminum nitride (A1N) powders have been successfully synthesized with a high efficiency method through annealing from milling assisted by discharge plasma (p-milling) alumina (Al2O3) precursors. The characterization of the p-milling Al2O3 powders and the synthesized AlN are investigated. Compared to conventional ball milling (c-milling), it can be found that the precursors by p-milling have a finer grain size with a higher specific surface area, which lead to a faster reaction efficiency and higher conversion to A1N at lower temperatures. The activation energy of p-milling Al2O3 is found to be 371.5 kJ/mol, a value that is much less than the reported value of the unmilled and the conventional milled Al2O3. Meanwhile, the synthesized AlN powders have unique features, such as an irregular lamp-like morphology with uniform particle distribution and fine average particle size. The results are attributed to the unique synergistic effect of p-milling, which is the effect of deformation, fracture, and cold welding of Al2O3 powders resulting from ball milling, that will be enhanced due to the introduction of discharge plasma. 展开更多
关键词 aluminum nitride ball milling thermal temperature plasma alumina
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Energy analysis of mechanical alloying of molybdenum disilicide in a new-type high energy vibrating ball mill 被引量:2
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作者 FENG Pei-zhong WANG Xiao-hong +1 位作者 QIANG Ying-huai QU Xuan-hui 《Journal of China University of Mining and Technology》 EI 2008年第3期449-453,共5页
In order to understand the fundamentals of a high energy vibrating type milling process, the energy transfer during me-chanical alloying of molybdenum disilicide is investigated based on the Magini-Iasonna energy tran... In order to understand the fundamentals of a high energy vibrating type milling process, the energy transfer during me-chanical alloying of molybdenum disilicide is investigated based on the Magini-Iasonna energy transfer method, amended by Murty. The efficiency factor and total energy of milling are calculated. MoSi2 synthesized by a mechanically induced self-propagating reaction has also been studied according to different milling parameters, such as the number of balls and the ball to powder weight ratio. The results indicate that the efficiency factor is between 1.944 and 8.507 J/(g·s). A total milling energy of about 19.38–26.47 kJ/g is found to be necessary for the mechanically induced self-propagating reaction of a Mo:2Si powder mixture. The efficiency of milling energy transfer is about 3.3%–4.5%. The experiment and modeling show that the optimum condition for mechanical alloy-ing is a half full vial of balls. 展开更多
关键词 mechanical alloying high-energy ball mill energy analysis MODELING
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Reasonable Ball Size of Ball Mill for Preparing Coal Water Fuel and Forecasting Productive Capacity 被引量:1
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作者 张荣曾 刘炯天 +1 位作者 徐志强 郑明 《Journal of China University of Mining and Technology》 2002年第2期115-119,共5页
By using the matrix theory, a 5 parameter grinding mathematical model is established. Based on the properties of feed coal and requirements for size distribution of final product, the model gives the required grinding... By using the matrix theory, a 5 parameter grinding mathematical model is established. Based on the properties of feed coal and requirements for size distribution of final product, the model gives the required grinding probability for various particles and corresponding ball size distribution. By using this model, 3 different sizes of ball mill are designed and put into commercial use for coal water fuel. The forecasted ball mill capacity, the particle sizes and particle size distribution as well as the coal water fuel quality parameters are all in line with industrial operation results, which have proved the suitability of the model. 展开更多
关键词 ball mill capacity ball size composition
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Evolution of structure and magnetic properties in PrCo_5 magnet for high energy ball milling in ethanol
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作者 李柱柏 兰剑亭 +2 位作者 张雪峰 刘艳丽 李永峰 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第8期539-542,共4页
High energy ball milling(HEBM) is employed to produce nano-sized grains and particles. In this paper, the structure and magnetic properties are investigated in PrCo5 alloy for HEBM in an ethanol milling medium. With t... High energy ball milling(HEBM) is employed to produce nano-sized grains and particles. In this paper, the structure and magnetic properties are investigated in PrCo5 alloy for HEBM in an ethanol milling medium. With the increase of milling time, the grain size reduces and the coercivity increases. For a milling time of less than 30 min, the hysteresis loop of the aligned sample is very different from that of the un-aligned sample and it does not show a large decrease in magnetization slope, indicating a relatively good alignment of easy axes in particles due to the fact that the texture is nearly well preserved. However, when the milling time is further prolonged, the textured structure deteriorates in the powders.Even though exchange coupling exists between grains within the particle, the magnetic properties are exchange-decoupled between particles and the dipolar interaction results in a negative value of δ m in the whole range of the magnetic field. 展开更多
关键词 high energy ball milling PrCo5 magnets alignment of easy axes exchange coupling
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Enhanced coercivity and remanence of PrCo_5 nanoflakes prepared by surfactant-assisted ball milling with heat-treated starting powder
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作者 左文亮 赵鑫 +5 位作者 熊杰夫 商荣翔 章明 胡凤霞 孙继荣 沈保根 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第7期415-419,共5页
PrCo5 nanoflakes with strong texture and high coercivity of 8.15 kOe were prepared by surfactant-assisted ball milling with heat-treated starting powder. The thickness and length of the as-milled nanoflakes are mainly... PrCo5 nanoflakes with strong texture and high coercivity of 8.15 kOe were prepared by surfactant-assisted ball milling with heat-treated starting powder. The thickness and length of the as-milled nanoflakes are mainly in the ranges of 50–100 nm and 0.5–3 μm, respectively. The x-ray diffraction patterns demonstrate that the heat treatment can increase the single phase and crystallinity of the PrCo5 compound, and combined with the demagnetization curves, indicate that the single phase and crystallinity are important for preparing high-coercivity and strong-textured rare earth permanent magnetic nanoflakes. In addition, the coercivity mechanism of the as-milled PrCo5 nanoflakes is studied by the angle dependence of coercivity for an aligned sample and the field dependence of coercivity, isothermal(IRM) and dc demagnetizing(DCD)remanence curves for an unaligned sample. The results indicate that the coercivity is dominated by co-existing mechanisms of pinning and nucleation. Furthermore, exchange coupling and dipolar coupling also co-exist in the sample. 展开更多
关键词 coercivity mechanism textured Pr Co5nanoflakes surfactant-assisted ball milling heat treatment
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Influence of Grinding Ball⁃Motion Behavior on Particle Crushing Performance and a Way of Micro⁃particle Preparation in a Flutter Ball Mill
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作者 LIANG Man SUN Weihong +1 位作者 SUN Yi SHAN Jihong 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第3期450-461,共12页
Motion behavior of grinding balls plays a vital role in improving efficiency of particle crushing.A method of preparing micro-particles by changing ball-motion behavior in a flutter mill is proposed and multiple grind... Motion behavior of grinding balls plays a vital role in improving efficiency of particle crushing.A method of preparing micro-particles by changing ball-motion behavior in a flutter mill is proposed and multiple grinding experiments are conducted.Crushing performance parameters,such as breakage rate Si,production rates of fine particles Fi and Fi*,are studied in different motion conditions.From the results,a better crushing performance is attained in the coupled motion modes of rotating speed ratio of 85%,with a vibrating amplitude of 8 mm and a frequency of 12 Hz.In addition,the influence of ball-motion behavior on particle crushing performance is discussed.The ball-motion behaviors,such as the collision energy loss E,among grinding balls have some relationship with the particle crushing performance of Si.Therefore,this study not just provides an efficiency way of accumulating micro-particles,but also reveals how the ball-motion behavior influence particle crushing performance in the flutter mill. 展开更多
关键词 flutter ball mill ball-motion behavior breakage rate collision energy loss micro-particle preparation
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Simulation of ball motion and energy transfer in a planetary ball mill 被引量:7
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作者 陆胜勇 毛琼晶 +2 位作者 彭政 李晓东 严建华 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第7期566-574,共9页
A kinetic model is proposed for simulating the trajectory of a single milling ball in a planetary ball mill, and a model is also proposed for simulating the local energy transfer during the ball milling process under ... A kinetic model is proposed for simulating the trajectory of a single milling ball in a planetary ball mill, and a model is also proposed for simulating the local energy transfer during the ball milling process under no-slip conditions. Based on the kinematics of ball motion, the collision fi'equency and power are described, and the normal impact forces and effective power are derived from analyses of collision geometry. The Hertzian impact theory is applied to formulate these models after having established some relationships among the geometric, dynamic, and thermophysical parameters. Simulation is carried out based on two models, and the effects of the rotation velocity of the planetary disk Ω and the vial-to-disk speed ratio ω/Ω on other kinetic parameters is investigated. As a result, the optimal ratio ω/Ω to obtain high impact energy in the standard operating condition at Ω = 800 rpm is estimated, and is equal to 1.15. 展开更多
关键词 ball motion energy transfer kinetic model milling ball
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A Mssbauer study of iron/polytetrafluoroethylene nanocomposites prepared by high-energy ball milling
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作者 QIAN Fang-Zhen Belhachat MELHACHAT CHEN Chun-Xia 《Nuclear Science and Techniques》 SCIE CAS CSCD 2006年第3期139-142,共4页
Iron/polytetrafluoroethylene (Fe/PTFE) nanocomposites were prepared by means of high-energy ball milling for different lengths of time. Three new components of FeF2, FeF3, and Fe3C in the resultants were mainly in- ve... Iron/polytetrafluoroethylene (Fe/PTFE) nanocomposites were prepared by means of high-energy ball milling for different lengths of time. Three new components of FeF2, FeF3, and Fe3C in the resultants were mainly in- vestigated using the M?ssbauer spectroscopy (MS). The components and average grain size of the nanocomposites were also measured using X-ray diffraction (XRD) and transmission electron microscopy (TEM), respectively. 展开更多
关键词 纳米复合材料 高能球磨 光谱学 MS
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Fabrication of Lead Zirconate Titanate Powder Using Ultrasonic Ball Milling Technique
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作者 W.Nhuapeng Wandee Thamjaree T.Tunkasiri 《材料科学与工程学报》 CAS CSCD 北大核心 2007年第6期854-857,825,共5页
In this research,the ultrasonic ball milling technique has been used to fabricate lead zirconate titanate(PZT)ceramics.PZT with the composition nearly the morphotropic phase boundary(MPB):Pb(Zr_ 0.52Ti_ 0.48)O_3 was s... In this research,the ultrasonic ball milling technique has been used to fabricate lead zirconate titanate(PZT)ceramics.PZT with the composition nearly the morphotropic phase boundary(MPB):Pb(Zr_ 0.52Ti_ 0.48)O_3 was studied.The effect of milling time on phase formation of sample powder was examined by X-ray diffraction technique(XRD).Moreover,the physical,dielectric,piezoelectric properties and microstructure of PZT ceramics were investigated.The present results reveal that the ultrasonic ball milling technique results the homogeneous and small size of PZT powder.Furthermore,there is a significantly change occurs in the size of the particles with the short time of milling process. 展开更多
关键词 超声球磨研磨技术 锆钛酸铅粉末 粒度 变形性相界
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Reactive ball-milling synthesis of Co-Fe bimetallic catalyst for efficient hydrogenation of carbon dioxide to value-added hydrocarbons 被引量:1
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作者 Haipeng Chen Chenwei Wang +5 位作者 Mengyang Zheng Chenlei Liu Wenqiang Li Qingfeng Yang Shixue Zhou Xun Feng 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2023年第9期210-218,共9页
Catalytic hydrogenation of CO_(2) using renewable hydrogen not only reduces greenhouse gas emissions,but also provides industrial chemicals.Herein,a Co-Fe bimetallic catalyst was developed by a facile reactive ball-mi... Catalytic hydrogenation of CO_(2) using renewable hydrogen not only reduces greenhouse gas emissions,but also provides industrial chemicals.Herein,a Co-Fe bimetallic catalyst was developed by a facile reactive ball-milling method for highly active and selective hydrogenation of CO_(2) to value-added hydrocarbons.When reacted at 320℃,1.0 MPa and 9600 mL h^(-1) g_(cat)^(-1),the selectivity to light olefin(C_(2)^(=)-C_(4)^(=)) and C_(5)+ species achieves 57.3% and 22.3%,respectively,at a CO_(2) co nversion of 31.4%,which is superior to previous Fe-based catalysts.The CO_(2) activation can be promoted by the CoFe phase formed by reactive ball milling of the Fe-Co_(3)O_(4) mixture,and the in-situ Co_(2)C and Fe_(5)C_(2) formed during hydrogenation are beneficial for the C-C coupling reaction.The initial C-C coupling is related to the combination of CO species with the surface carbon of Fe/Co carbides,and the sustained C-C coupling is maintained by self-recovery of defective carbides.This new strategy contributes to the development of efficient catalysts for the hydrogenation of CO_(2) to value-added hydrocarbons. 展开更多
关键词 Reactive ball milling Co-Fe bimetallic catalyst Carbon dioxide Value-added hydrocarbon C–C coupling reaction
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Ball-milling MoS_2/carbon black hybrid material for catalyzing hydrogen evolution reaction in acidic medium 被引量:1
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作者 Jiayuan Li Dunfeng Gao +3 位作者 Jing Wang Shu Miao Guoxiong Wang Xinhe Bao 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2015年第5期608-613,共6页
Replacing platinum for catalyzing hydrogen evolution reaction (HER) in acidic medium remains great chal- lenges. Herein, we prepared few-layered MoS2 by ball milling as an efficient catalyst for HER in acidic medium... Replacing platinum for catalyzing hydrogen evolution reaction (HER) in acidic medium remains great chal- lenges. Herein, we prepared few-layered MoS2 by ball milling as an efficient catalyst for HER in acidic medium, The activity of as-prepared MoS2 had a strong dependence on the ball milling time, Furthermore, Ketjen Black EC 300J was added into the ball-milled MoS2 followed by a second ball milling, and the resultant MoS2/carbon black hybrid material showed a much higher HER activity than MoS2 and carbon black alone. The enhanced activity of the MoS2/carbon black hybrid material was attributed to the increased abundance of catalytic edge sites of MoS) and excellent electrical coupling to the underlving carbon network. 展开更多
关键词 Molybdenum disulfide Carbon black Hybrid material ball milling Hydrogen evolution reaction Acidic medium
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Comprehensive performance of a ball-milled La_(0.5)Pr_(0.5)Fe_(11.4)Si_(1.6)B_(0.2)H_(y)/Al magnetocaloric composite
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作者 Jiao-Hong Huang Ying-De Zhang +3 位作者 Nai-Kun Sun Yang Zhang Xin-Guo Zhao Zhi-Dong Zhang 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第4期667-671,共5页
Due to the hydrogen embrittlement effect,La(Fe,Si)_(13)-based hydrides can only exist in powder form,which limits their practical application.In this work,ductile and thermally conductive Al metal was homogeneously mi... Due to the hydrogen embrittlement effect,La(Fe,Si)_(13)-based hydrides can only exist in powder form,which limits their practical application.In this work,ductile and thermally conductive Al metal was homogeneously mixed with La_(0.5)Pr_(0.5)Fe_(11.4)Si_(1.6)B_(0.2)using the ball milling method.Then hydrogenation and compactness shaping of the magnetocaloric composites were performed in one step via a sintering process under high hydrogen pressure.As the Al content reached 9 wt.%,the La_(0.5)Pr_(0.5)Fe_(11.4)Si_(1.6)B_(0.2)H_(y)/Al composite showed the mechanical behavior of a ductile material with a yield strength of~44 MPa and an ultimate strength of 269 MPa accompanied by a pronounced improvement in thermal conductivity.Due to the ease of formation of Fe-Al-Si phases and the several micron and submicron sizes of the composite particles caused by ball milling process,the magnetic entropy change of the composites was substantially reduced to~1.2 J/kg·K-1.5 J/kg·K at 0 T-1.5 T. 展开更多
关键词 ball milling mechanical behavior room-temperature magnetic refrigeration La(Fe Si)_(13)
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Experimental study on the working performance of different milling tools for multistage fracturing ball seats 被引量:3
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作者 Jia-Qi Che Han-Xiang Wang +2 位作者 Yan-Wen Zhang Ming-Chao Du Shao-Hua Ma 《Petroleum Science》 SCIE CAS CSCD 2020年第6期1699-1716,共18页
To achieve the secondary production in multistage fracturing wells of tight oil,milling tools are usually used to remove the multistage fracturing ball seats to achieve production with a large diameter in later.In thi... To achieve the secondary production in multistage fracturing wells of tight oil,milling tools are usually used to remove the multistage fracturing ball seats to achieve production with a large diameter in later.In this paper,first of all,the working mechanism of milling tools for multistage fracturing ball seats was studied and a mechanical analysis model of single abrasive grain was established.Then,an experimental system for milling tools was developed,and the experimental tests of the flat,the blade,and the slope milling tool were conducted in order.Besides,the morphology of chips and the surface morphology of the workpiece after the experiment were analyzed.Also,the working performance of milling tools was evaluated from the perspectives of working safety,working efficiency,and wear resistance of the milling tool.The results show that the torque of the milling tool increases nonlinearly with the increase in the cutting depth of the abrasive grain and increases linearly with the increase in the cutting width.Also,the chips are irregular particles and the size is mainly from 10 to 50μm.So,the chips should be pumped up with a small pump pressure and a large displacement.Besides this,the cutting depths of the abrasive grains are from 216.20 to 635.47μm and the bottom surface of the milling tool should be eccentric to avoid the zero point of cutting speed.Furthermore,the torque of the slope milling tool is 23.8%larger than that of the flat milling tool,which is also 30.4%smaller than that of the blade milling tool.Compared with the flat milling tool,the working efficiency of the blade milling tool improves by 79.9%and the slope milling tool improves by 111.1%.Also,the wear resistance of the blade milling tool decreases by 102.7%,while the slope milling tool declines by 32.6%when compared with the flat milling tool.Therefore,the slope milling tool has the characteristics of moderate torque,stable working conditions,the highest working efficiency,and fine wear resistance,which is preferably used to mill multistage fracturing ball seats.This study provides a theoretical basis and guidance for milling multistage fracturing ball seats on-site and realizing production with a large diameter in later stages of multistage fracturing wells. 展开更多
关键词 Multistage fracturing ball seat milling tool Working performance Tight oil Experimental system Single abrasive grain
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GENERALIZED FORELLI-RUDIN TYPE OPERATORS BETWEEN SEVERAL FUNCTION SPACES ON THE UNIT BALL OF C^(N) 被引量:1
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作者 Xuejun ZHANG Yuting GUO +1 位作者 Hongxin CHEN Pengcheng TANG 《Acta Mathematica Scientia》 SCIE CSCD 2024年第4期1301-1326,共26页
In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order t... In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order to prove the main results,we first give some bidirectional estimates for several typical integrals. 展开更多
关键词 Forelli-Rudin type operator L^(p q s k)(B_(n))space BOUNDEDNESS unit ball
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A simplified method for local tool interference detection and tool position modification during five-axis ball-end milling process
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作者 ZHANG Song 张松 LI Bin-xun 《Journal of Chongqing University》 CAS 2018年第4期155-161,共7页
Five-axis ball-end milling is commonly used to machine the complex surfaces. Local tool interference phenomenon which often occurs in five-axis milling should be urgently solved. In this paper, a simplified method to ... Five-axis ball-end milling is commonly used to machine the complex surfaces. Local tool interference phenomenon which often occurs in five-axis milling should be urgently solved. In this paper, a simplified method to detect the occurrence of local tool interference and modify tool position is proposed. First, the detection matrix is established to detect local tool interference at all the cutter location points on tool path simultaneously in five-axis ball-end milling of complex surfaces. The algorithm of detection matrix based on point arithmetic is simple. Secondly, the new coordinates of the modified interfering-free points are obtained precisely by using the genetic algorithm. The feasibility of the method is validated by simulation in Matlab. This research is benefit to simplify the calculation of local tool interference detection and tool position modification. 展开更多
关键词 LOCAL TOOL interference DETECTION TOOL position modification ball-end millING CUTTER
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Transportation and sealing pattern of the temporary plugging ball at the spiral perforation in the horizontal well section
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作者 Qing-Hai Hu Wan Cheng +2 位作者 Zun-Cha Wang Yu-Zhao Shi Guang-Liang Jia 《Petroleum Science》 SCIE EI CAS CSCD 2024年第5期3288-3297,共10页
Multistage fracturing of horizontal wells is a critical technology for unconventional oil and gas reservoir stimulation. Ball-throwing temporary plugging fracturing is a new method for realizing uniform fracturing alo... Multistage fracturing of horizontal wells is a critical technology for unconventional oil and gas reservoir stimulation. Ball-throwing temporary plugging fracturing is a new method for realizing uniform fracturing along horizontal wells and plays an important role in increasing oil and gas production. However,the transportation and sealing law of temporary plugging balls(TPBs) in the perforation section of horizontal wells is still unclear. Using COMSOL computational fluid dynamics and a particle tracking module, we simulate the transportation process of TPBs in a horizontal wellbore and analyse the effects of the ball density, ball diameter, ball number, fracturing fluid injection rate, and viscosity on the plugging efficiency of TPB transportation. This study reveals that when the density of TPBs is close to that of the fracturing fluid and a moderate diameter of the TPB is used, the plugging efficiency can be substantially enhanced. The plugging efficiency is greater when the TPB number is close to twice the number of perforations and is lower when the number of TPBs is three times the number of perforations.Adjusting the fracturing fluid injection rate from low to high can control the position of the TPBs,improving plugging efficiency. As the viscosity of the fracturing fluid increases, the plugging efficiency of the perforations decreases near the borehole heel and increases near the borehole toe. In contrast, the plugging efficiency of the central perforation is almost unaffected by the fracturing fluid viscosity. This study can serve as a valuable reference for establishing the parameters for temporary plugging and fracturing. 展开更多
关键词 Temporary plugging ball Horizontal well Multistage fracturing Spiral perforation Numerical simulation
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ON THE EMPTY BALLS OF A CRITICAL OR SUBCRITICAL BRANCHING RANDOM WALK
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作者 Shuxiong ZHANG Jie XIONG 《Acta Mathematica Scientia》 SCIE CSCD 2024年第5期2051-2072,共22页
Let{Z_(n)}_(n)≥0 be a critical or subcritical d-dimensional branching random walk started from a Poisson random measure whose intensity measure is the Lebesugue measure on R^(d).Denote by R_(n):=sup{u>0:Z_(n)({x∈... Let{Z_(n)}_(n)≥0 be a critical or subcritical d-dimensional branching random walk started from a Poisson random measure whose intensity measure is the Lebesugue measure on R^(d).Denote by R_(n):=sup{u>0:Z_(n)({x∈R^(d):∣x∣<u})=0}the radius of the largest empty ball centered at the origin of Z_(n).In this work,we prove that after suitable renormalization,Rn converges in law to some non-degenerate distribution as n→∞.Furthermore,our work shows that the renormalization scales depend on the offspring law and the dimension of the branching random walk.This completes the results of Révész[13]for the critical binary branching Wiener process. 展开更多
关键词 empty ball DIMENSION branching random walk super-Brownian motion
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MAXIMAL FUNCTION CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BOTH NON-NEGATIVE SELF-ADJOINT OPERATORS SATISFYING GAUSSIAN ESTIMATES AND BALL QUASI-BANACH FUNCTION SPACES
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作者 林孝盛 杨大春 +1 位作者 杨四辈 袁文 《Acta Mathematica Scientia》 SCIE CSCD 2024年第2期484-514,共31页
Assume that L is a non-negative self-adjoint operator on L^(2)(ℝ^(n))with its heat kernels satisfying the so-called Gaussian upper bound estimate and that X is a ball quasi-Banach function space onℝ^(n) satisfying som... Assume that L is a non-negative self-adjoint operator on L^(2)(ℝ^(n))with its heat kernels satisfying the so-called Gaussian upper bound estimate and that X is a ball quasi-Banach function space onℝ^(n) satisfying some mild assumptions.Let HX,L(ℝ^(n))be the Hardy space associated with both X and L,which is defined by the Lusin area function related to the semigroup generated by L.In this article,the authors establish various maximal function characterizations of the Hardy space HX,L(ℝ^(n))and then apply these characterizations to obtain the solvability of the related Cauchy problem.These results have a wide range of generality and,in particular,the specific spaces X to which these results can be applied include the weighted space,the variable space,the mixed-norm space,the Orlicz space,the Orlicz-slice space,and the Morrey space.Moreover,the obtained maximal function characterizations of the mixed-norm Hardy space,the Orlicz-slice Hardy space,and the Morrey-Hardy space associated with L are completely new. 展开更多
关键词 Hardy space ball quasi-Banach function space Gaussian upper bound estimate non-negative self-adjoint operator maximal function
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