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Sizing and performance features of rotary and reciprocating positive displacement pumps
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作者 Cooper Paul 《排灌机械工程学报》 EI 北大核心 2014年第12期1013-1022,共10页
An overview of some popular rotary and reciprocating positive displacement( PD) pump types is given with the objective of presenting and comparing the respective sizing relationships and performance features. Reciproc... An overview of some popular rotary and reciprocating positive displacement( PD) pump types is given with the objective of presenting and comparing the respective sizing relationships and performance features. Reciprocating pumps discussed are the piston and plunger types. Rotary pumps addressed are gear( external and internal),vane,lobe,screw,and liquid ring pumps. To put the relative pump sizes in perspective,attention is fixed on the rotors or reciprocating elements of PD pumps,just as impellers indicate the sizes of rotodynamic pumps. The size of a PD pump is found from a dimensionless combination of displacement flow rate,rotative speed and diameter. The flow rate,head( or pressure rise) and power are related through the component efficiencies. The cavitation coefficient,often close to unity,connects the rotor tip speed or piston speed with the required NPSH,which can also be affected by the pressure rise of the pump due to leakage across the internal clearances. Operational effects due to cavitation,ingestion of gas or abrasives,and viscous and non-Newtonian fluids are discussed. 展开更多
关键词 POSITIVE DISPLACEMENT pumps ROTARY reciprocating rotor SIZING required NPSH
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Influence of specific speed on hydraulic performances and pressure fluctuations in mixed-flow pumps
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作者 FU Yanxia JIA Qi +1 位作者 SHEN Yang PACE Giovanni 《排灌机械工程学报》 CSCD 北大核心 2023年第10期981-987,共7页
A series of steady and unsteady numerical calculations of the internal flow in mixed-flow pumps with three different specific speeds were carried out based on the N-S equation coupled with the standard k-εturbulence ... A series of steady and unsteady numerical calculations of the internal flow in mixed-flow pumps with three different specific speeds were carried out based on the N-S equation coupled with the standard k-εturbulence model under different operating conditions to investigate the relationship between the impeller specific speed and the pump performance as well as pressure pulsations.Meanwhile,the pump performance and pressure pulsations inside the mixed-flow pump with three different specific speeds were also analyzed and compared with the corresponding test data.From the results,the averaged deviations between the predicted and tested head among different impellers are below 5%,and with respect to the equivalent impeller specific speeds of 280 and 260,the values are 4.30%and 3.69%,respectively.For all the impeller schemes,the best efficiency point of the mixed-flow pump is found at the flow rate of 1.2 Q_(d) and the higher head deviation occurs at lower flow rates.Especially,it can be found that the specific speed has a slight effect on the pressure fluctuation in the impellers.Eventually,it is determined that the pump performance curves calculated by numerical simu-lations have good agreement with the relevant experimental results,which verifies that the numerical methods used in the present study are accurate to a certain extent.Furthermore,the results also provide some references to the pressure pulsation analysis and the performance improvement of the mixed-flow pump design. 展开更多
关键词 mixed-flow pumps impeller specific speed hydraulic performance pressure pulsation numerical simulation EXPERIMENT
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Statistical analysis of pressure fluctuations during unsteady flow for low-specific-speed centrifugal pumps 被引量:3
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作者 裴吉 王文杰 袁寿其 《Journal of Central South University》 SCIE EI CAS 2014年第3期1017-1024,共8页
A three-dimensional transient numerical simulation was conducted to study the pressure fluctuations in low-specific-speed centrifugal pumps. The characteristics of the inner flow were investigated using the SST k-ω t... A three-dimensional transient numerical simulation was conducted to study the pressure fluctuations in low-specific-speed centrifugal pumps. The characteristics of the inner flow were investigated using the SST k-ω turbulence model. The distributions of pressure fluctuations in the impeller and the volute were recorded, and the pressure fluctuation intensity was analyzed comprehensively, at the design condition, using statistical methods. The results show that the pressure fluctuation intensity increases along the impeller streamline from the leading edge to the trailing edge. In the impeller passage, the intensity near the shroud is much higher than that near the hub at thc inlet. However, the intensity at the middle passage is almost equal to the intensity at the outlet. The pressure fluctuation intensity is the highest at the trailing edge on the pressure side and near the tongue because of the rotor-stator interaction. The distribution of pressure fluctuation intensity is symmetrical in the axial cross sections of the volute channel. However, this intensity decreases with increasing radial distance. Hence, the pressure fluctuation intensity can be reduced by modifying the geometry of the leading edge in the impeller and the tongue in the volute. 展开更多
关键词 TRANSIENT pressure fluctuation intensity STATISTICS low specific speed centrifugal pump
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Design of Rotary Vane Pump Based on Numerical Simulation and Performance Research
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作者 REN Zheng SONG Qiao-le 《印刷与数字媒体技术研究》 北大核心 2025年第5期286-291,共6页
In the printing industry,vacuum pumps play a critical role in sheet feeding and gripping processes.In order to improve the efficiency of vacuum pumps,By analyzing the internal flow field of the vane type vacuum pump,t... In the printing industry,vacuum pumps play a critical role in sheet feeding and gripping processes.In order to improve the efficiency of vacuum pumps,By analyzing the internal flow field of the vane type vacuum pump,the CFD method was used to simulate the internal flow field of the air pump,and it was found that a main vortex was formed near the rotor of the trailing blade.Based on this observation,a new rotor shape design was proposed in this study,which design places arc-shaped depressed on the circumference of the rotor where the main vortex forms.The existence of the depression facilitated forward motion of the main airflow and thus effectively restricting reverse flow.Simulation results demonstrated that the proposed design is able to decrease pressure-induced torque load on the pump,and the reduction increases for an increasing operating speed.For all three operating speeds tested,the reduction in pressure-induced torque ranges from 5%to up to 10%comparing to the original pump. 展开更多
关键词 Rotary vane pump CFD Novel design Mechanical efficiency Vacuum pump
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Evaluation of development potential of pumped hydroelectric storage and geothermal utilization system in abandoned coal mine 被引量:2
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作者 WANG Meng GUO Ping-ye +3 位作者 JIN Xin DANG Guan-jie GUO Yi-chen LI Yi 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第8期2872-2890,共19页
Every year in China,a significant number of mines are closed or abandoned.The pumped hydroelectric storage(PHS)and geothermal utilization are vital means to efficiently repurpose resources in abandoned mine.In this wo... Every year in China,a significant number of mines are closed or abandoned.The pumped hydroelectric storage(PHS)and geothermal utilization are vital means to efficiently repurpose resources in abandoned mine.In this work,the development potentials of the PHS and geothermal utilization systems were evaluated.Considering the geological conditions and meteorological data available of Jiahe abandoned mine,a simple evaluation model for PHS and geothermal utilization was established.The average efficiency of the PHS system exceeds 70%and the regulatable energy of a unit volume is over 1.53 kW·h/m^(3).The PHS system achieves optimal performance when the wind/solar power ratio reaches 0.6 and 0.3 in daily and year scale,respectively.In the geothermal utilization system,the outlet temperature and heat production are significantly affected by the injection flow rate.The heat production performance is more stable at lower rate flow,and the proportion of heat production is higher in the initial stage at greater flow rate.As the operating time increases,the proportion of heat production gradually decreases.The cyclic heat storage status has obvious advantages in heat generation and cooling.Furthermore,the energy-saving and emission reduction benefits of PHS and geothermal utilization systems were calculated. 展开更多
关键词 abandoned mine underground reservoir wind/solar energy pumped hydroelectric storage GEOTHERMAL
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Research on pumped storage and complementary energy development models for abandoned mines in China 被引量:1
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作者 YANG Ke LYU Xin +3 位作者 XU Chao-shui FANG Jue-jing DUAN Min-ke ZHANG Zhai-nan 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第8期2860-2871,共12页
Within the framework of achieving carbon neutrality,various industries are confronted with fresh challenges.The ongoing process of downsizing coal industry operations has evolved into a new phase,with the burgeoning p... Within the framework of achieving carbon neutrality,various industries are confronted with fresh challenges.The ongoing process of downsizing coal industry operations has evolved into a new phase,with the burgeoning proliferation of abandoned mines posing a persistent issue.Addressing the challenges and opportunities presented by these abandoned mines,this paper advocates for a scientific approach centered on the advancement of pumped storage energy alongside gas-oil complementary energy.Leveraging abandoned mine tunnels to establish pumped storage power stations holds significant ecological and economic importance for repurposing these sites.This initiative not only serves as an effective means to restore the ecological balance in mining regions but also provides an environmentally friendly approach to repurposing abandoned mine tunnels,offering a blueprint for economically viable pumped storage power stations.This article delineates five crucial scientific considerations and outlines seven primary models for the utilization of abandoned mine sites,delineating a novel,comprehensive pathway for energy and power development that emphasizes multi-energy complementarity and synergistic optimization within abandoned mines. 展开更多
关键词 abandoned mines pumped storage underground reservoir energy systems carbon neutrality
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Preface:Development and utilization of pumped storage in closed/abandoned mines
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作者 WEN Zhi-jie JIANG Yu-jing +3 位作者 ZHAO Guang-ming LI Li-ping PU Hai YANG Sheng-li 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第8期2545-2548,共4页
China has embarked on an extensive and sustained endeavor to harness its coal resources for a substantial period.However,the depletion of coal reserves in mining regions has necessitated the closure or abandonment of ... China has embarked on an extensive and sustained endeavor to harness its coal resources for a substantial period.However,the depletion of coal reserves in mining regions has necessitated the closure or abandonment of numerous mines,resulting in a marked increase in the number of such facilities.Parallel to this,China is vigorously advancing the development of a novel energy power system,aimed at transitioning the power sector from a high-carbon,fossil fuel-dependent paradigm to a low-carbon,clean energy footing. 展开更多
关键词 PUMPED SUSTAINED CLOSURE
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Dynamic response characteristics of muddy sandstone in pumped storage mine under action of high-stress dynamic disturbance
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作者 LIANG Bin WANG Dong +3 位作者 LUAN Heng-jie DONG Ling LIU Jian-kang WANG Chang-sheng 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第8期2736-2747,共12页
During the construction and operation of the abandoned mine pumped storage power station,the underground space surrounding rock body faces the complex stress environment under the action of mining disturbance,frequent... During the construction and operation of the abandoned mine pumped storage power station,the underground space surrounding rock body faces the complex stress environment under the action of mining disturbance,frequent pumping,water storage and other dynamic disturbances.The stability of the abandoned mine surrounding rock body is the basis for guaranteeing the safety and effectiveness of water storage in the underground space of the abandoned mine.By considering the two main factors of different stress levels and disturbance amplitudes,the mechanical properties,damage characteristics and acoustic emission characteristics of the abandoned mine perimeter rock body under dynamic disturbance were investigated using a creep-disturbed dynamic impact loading system.The experimental results show that:1)The stress level is considered to be the major contributing factor of the failure of muddy sandstone,followed by the amplitude of the disturbances;2)The time required for the destruction of muddy sandstone decreases with the increase of amplitude.When the stress level is 80%,the sandstone specimens have a decreasing number of cycles as the disturbance amplitude increases.The disturbance amplitude is sequentially increased from 4 MPa to 5,6,7,and 8 MPa,the number of cycles required for specimen destruction decreases significantly by 96.71%,99.13%,99.60%,and 99.93%,respectively;3)Disturbance amplitude and stress level have a significant effect on muddy sandstone damage and damage occurs only after a certain threshold is reached.With the increase of stress level and disturbance amplitude,the macroscopic damage of muddy sandstone is mainly conical,with obvious flake spalling and poor damage integrity;4)According to the time-dependent changes in AE energy and ringing counts,the acoustic emission activity during the failure process could be divided into three phases,namely,weakening period,smooth period,and surge period,corresponding to the compaction phase,elastic rise phase and post-peak damage phase.The research results are of reference significance for the damage evolution analysis of muddy sandstone under dynamic disturbance and the safety and stability of abandoned mine perimeter rock body. 展开更多
关键词 abandoned mine pumped storage dynamic disturbance muddy sandstone acoustic emission
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Characteristic and optimization of ferrite-rich sulfoaluminate-based composite cement suitable for cold region tunnels
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作者 PENG You LI Li +5 位作者 TAN Xian-jun QIU Xin ZHENG Pei-chao XIE Jun CHEN Wei-zhong REZIWANGULI Sha-ta-er 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第8期2794-2809,共16页
To develop suitable grouting materials for water conveyance tunnels in cold regions,firstly,this study investigated the performance evolution of ferrite-rich sulfoaluminate-based composite cement(FSAC grouting materia... To develop suitable grouting materials for water conveyance tunnels in cold regions,firstly,this study investigated the performance evolution of ferrite-rich sulfoaluminate-based composite cement(FSAC grouting material)at 20 and 3℃.The results show that low temperature only delays the strength development of FSAC grouting material within the first 3 d.Then,the effect of four typical early strength synergists on the early properties of FSAC grouting material was evaluated to optimize the early(£1 d)strength at 3℃.The most effective synergist,Ca(HCOO)_(2),which enhances the low-temperature early strength without compromising fluidity was selected based on strength and fluidity tests.Its micro-mechanism was analyzed by XRD,TG,and SEM methods.The results reveal that the most suitable dosage range is 0.3 wt%−0.5 wt%.Proper addition of Ca(HCOO)_(2)changed the crystal morphology of the hydration products,decreased the pore size and formed more compact hydration products by interlocking and overlapping.However,excessive addition of Ca(HCOO)_(2)inhibited the hydration reaction,resulting in a simple and loose structure of the hydration products.The research results have reference value for controlling surrounding rock deformation and preventing water and mud inrushes during the excavation in cold region tunnels. 展开更多
关键词 ferrite-rich sulfoaluminate cement cold zone early strength synergist mechanical property MICRO-STRUCTURE pumped storage power
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Research on power improvement of a LD directly-pumped mid-infrared pulse solid-state laser
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作者 ZHANG Meng YANG Xi +5 位作者 GUO Jia-Wei CAI He WU Xin-Yang HAN Ju-Hong WANG Shun-Yan WANG You 《红外与毫米波学报》 CSCD 北大核心 2024年第6期820-826,共7页
An LD directly-pumped solid-state laser is considered to be one of the most promising mid-infrared light sources because of its simple principle,small size,and compact structure for the generation of mid-infrared(MIR)... An LD directly-pumped solid-state laser is considered to be one of the most promising mid-infrared light sources because of its simple principle,small size,and compact structure for the generation of mid-infrared(MIR)lasers in the 3-5µm band.However,the quantum defect of LD directly-pumped MIR solid-state lasers will be much larger than that of ordinary near-infrared LD pumped solid-state lasers,which may lead to thermal damage and limit their development.In order to solve this problem,the methods of reducing the specific surface area of the crystal and improving the thermal energy released by the crystal structure are discussed,and the opti⁃mal length of the laser crystal is determined.The cooling structures of barium yttrium fluoride laser crystals(Ho^(3+):BY_(2)F_(8))of different lengths were studied by thermal simulation using COMSOL software.The experimen⁃tal results show that the output power can be increased and the thermal stress in the laser crystal can be alleviated by using the laser crystal whose length is slightly shorter than that of the cooler.The final experiment shows that when the pump repetition rate is 15 Hz and the pulse width is 90µs,the single pulse energy is 7.28 mJ at the out⁃put wavelength of 3.9µm,which is about 3 times as large as that of the crystal with the length of 10 mm(2.81 mJ).Such results should be another breakthrough of our team since the first directly-pumped solid-state MIR laser was realized more than a year ago.It might pave the way for the construction of a feasible MIR laser in the near future. 展开更多
关键词 mid-infrared laser LD directly pumping solid state laser Ho:BYF laser crystal
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低负荷调峰运行时辅机的经济性和安全性 被引量:1
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作者 黎立新 《东南大学学报(自然科学版)》 EI CAS CSCD 1994年第S1期123-126,共4页
低负荷调峰运行时辅机的经济性和安全性黎立新(东南大学动力工程系,南京210018)采用低负荷运行方式进行调峰的机组,其辅机的安全性和经济性,直接影响整个机组的低负荷运行能力和经济性,200MW机组系按基本负荷设计,当... 低负荷调峰运行时辅机的经济性和安全性黎立新(东南大学动力工程系,南京210018)采用低负荷运行方式进行调峰的机组,其辅机的安全性和经济性,直接影响整个机组的低负荷运行能力和经济性,200MW机组系按基本负荷设计,当该机组进行低负荷调峰运行时,有必要... 展开更多
关键词 AUXILIARY equipments pumps FANS air heaters/lower load safety and economy
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两种填充型双电渗泵的制作与流量控制 被引量:4
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作者 尤慧艳 郭明 +2 位作者 张丽华 张维冰 张玉奎 《色谱》 CAS CSCD 北大核心 2007年第3期435-436,共2页
自制了同柱双电渗泵和异柱双电渗泵,考察了这两种填充型双电渗泵的泵流速及流量与驱动电压的关系,并将其与填充型单电渗泵进行了比较,说明了其优势。
关键词 填充柱(packed column) 双电渗泵(double ELECTROOSMOTIC pump) 微流(microflow)
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Petri网语言的Pumping引理 被引量:13
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作者 蒋昌俊 刘关俊 《计算机学报》 EI CSCD 北大核心 2006年第2期274-278,共5页
Petri网语言是Petri网理论的重要组成部分,也是系统行为分析的一种重要的工具.Petri网语言的Pumping引理反映了Petri网语言的共性,可用来证明某些语言不是Petri网语言.已经证明,当一个Petri网语言可被某个有界Petri网产生时,此语言是正... Petri网语言是Petri网理论的重要组成部分,也是系统行为分析的一种重要的工具.Petri网语言的Pumping引理反映了Petri网语言的共性,可用来证明某些语言不是Petri网语言.已经证明,当一个Petri网语言可被某个有界Petri网产生时,此语言是正规语言,因此,正规语言的Pumping引理对此语言是有效的,但正规语言的Pumping引理并不适用于所有的Petri网语言.文中给出了一种Petri网语言的Pumping引理,证明其对任意无空标注的Petri网语言都有效,并且正规语言的Pumping引理是此引理的一种特殊形式.利用此Pumping引理可以证明某些语言是不能由Petri网产生的. 展开更多
关键词 PETRI网 语言 正规语言 Pumping引理
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稠密相对正则语言的一些性质 被引量:7
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作者 黄磊 喻厚义 谷伟平 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第8期49-51,共3页
主要讨论了稠密相对正则语言的一些性质.相对于正则语言的pumping引理,给出了稠密相对正则语言的类似结论.继而证明了稠密相对正则语言都含有本原字.最后给出了稠密相对正则语言和极大码的一些联系.
关键词 稠密相对正则语言 pumping引理 本原字 极大码
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不同经营模式的抽水蓄能电站并网经济性分析 被引量:6
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作者 胡斌奇 王江波 +4 位作者 成涛 张文磊 梁榕珊 王晶晶 曾鸣 《水电能源科学》 北大核心 2010年第10期131-133,共3页
分析了抽水蓄能电站在租赁和电价两种经营模式下的特性,阐述了两种不同模式下电站并网的电网收益及其研究模型,并以黑麋峰抽水蓄能电站为例,分析了并网对电网经济性的影响,为电站经营模式的决策提供了参考。
关键词 电站经营模式 抽水蓄能电站 并网 经济性分析 BUSINESS Model Different PUMPED Storage Power STATION Analysis 研究模型 电网 租赁 收益 决策 电价
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Pumping引理的Petri网描述──Petri网语言属型的一组判定条件 被引量:33
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作者 吴哲辉 《计算机学报》 EI CSCD 北大核心 1994年第11期852-858,共7页
本文通过Pumping引理在Petri网的变迁节引发序列中的反映,揭示了对应的Petri网结构内涵,从而给出了判定一个标准Petri网产生的语言分别为正规语言或上下文无关语言的充要条件.这样,就可以从网的结构直接判断... 本文通过Pumping引理在Petri网的变迁节引发序列中的反映,揭示了对应的Petri网结构内涵,从而给出了判定一个标准Petri网产生的语言分别为正规语言或上下文无关语言的充要条件.这样,就可以从网的结构直接判断其语言属型. 展开更多
关键词 形式语言 Pumping引理 PETRI网 PETRI网语言
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上下文无关Petri网语言的Pumping引理 被引量:3
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作者 张继军 吴哲辉 《小型微型计算机系统》 CSCD 北大核心 2008年第4期698-702,共5页
Petri网语言可分为正规Petri网语言、上下文无关Petri网语言和Petri网语言三类,Pumping引理反映了一类语言的共性.对于正规Petri网语言类和Petri网语言类都已给出了其相应的Pumping引理,而对于上下文无关Petri网语言类的Pumping引理却... Petri网语言可分为正规Petri网语言、上下文无关Petri网语言和Petri网语言三类,Pumping引理反映了一类语言的共性.对于正规Petri网语言类和Petri网语言类都已给出了其相应的Pumping引理,而对于上下文无关Petri网语言类的Pumping引理却一直未给出.本文通过分析上下文无关Petri网语言的结构性质,给出了上下文无关Petri网语言的Pumping引理,并且正规Petri网语言的Pumping引理是上下文无关Petri网语言的Pumping引理的一种特殊形式,而上下文无关Petri网语言的Pump-ing引理又是Petri网语言Pumping引理的一种特殊形式,从而完整地解决了三类Petri网语言Pumping引理以及它们之间的关系. 展开更多
关键词 Pumping引理 语言 PETRI网 上下文无关语言
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带DA阀的A4V液压泵的控制原理分析与应用 被引量:10
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作者 梁贵萍 何晓晖 《机械设计与制造》 北大核心 2010年第12期105-107,共3页
通过对带DA阀的A4V液压泵的控制原理进行系统分析,论证了其利用DA阀的自动调节作用,始终保持液压泵扭矩与发动机的输出扭矩的最佳匹配,防止了机械系统发动机因负载过大而熄火,并提高了使用效率,同时也减轻操作者的心理负担。带DA阀的A4... 通过对带DA阀的A4V液压泵的控制原理进行系统分析,论证了其利用DA阀的自动调节作用,始终保持液压泵扭矩与发动机的输出扭矩的最佳匹配,防止了机械系统发动机因负载过大而熄火,并提高了使用效率,同时也减轻操作者的心理负担。带DA阀的A4V液压泵在机械行业必将得到越来越广泛应用。 展开更多
关键词 液压泵 控制原理 原理分析 hydraulic PUMP control PRINCIPLE application 发动机 最佳匹配 心理负担 系统分析 输出扭矩 始终保持 使用效率 机械行业 机械系统 调节作用 操作者 自动 熄火 负载
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多级离心泵内部流场数值模拟与节能技术研究 被引量:14
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作者 程云章 张伟国 +1 位作者 骆宾海 吴文权 《水电能源科学》 北大核心 2010年第10期115-117,共3页
采用计算流体力学数值模拟Flunet 6.3.26分析软件,选取标准κ-ε湍流模型和SIMPLE算法模拟了D450-60×7型多级离心泵节能优化前后泵内流道三维湍流数值,并对比分析了采集实际工况运行数据。结果表明,优化后的多级离心泵叶轮和导叶... 采用计算流体力学数值模拟Flunet 6.3.26分析软件,选取标准κ-ε湍流模型和SIMPLE算法模拟了D450-60×7型多级离心泵节能优化前后泵内流道三维湍流数值,并对比分析了采集实际工况运行数据。结果表明,优化后的多级离心泵叶轮和导叶内部流场分布更趋均匀合理、效率高、节约能源,与实际吻合,并验证了该软件的有效性,为改型优化提供了理论依据。 展开更多
关键词 多级离心泵 流场数值模拟 节能技术研究 Technology Energy SAVING Centrifugal Pump Flow Numerical Simulation 计算流体力学数值模拟 节能优化 离心泵叶轮 SIMPLE算法 运行数据 选取标准 湍流模型 三维湍流 分析软件 流场分布 理论依据 节约能源
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可交换上下文无关文法 被引量:2
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作者 张继军 吴哲辉 《计算机科学》 CSCD 北大核心 2007年第7期254-256,共3页
本文提出了可交换上下文无关文法及其该文法产生的语言——可交换上下文无关语言,证明了正规语言类是可交换上下文无关语言类的一个子集,而可交换上下文无关语言类是上下文无关语言类的一个子集;讨论了可交换上下文无关语言的结构特点,... 本文提出了可交换上下文无关文法及其该文法产生的语言——可交换上下文无关语言,证明了正规语言类是可交换上下文无关语言类的一个子集,而可交换上下文无关语言类是上下文无关语言类的一个子集;讨论了可交换上下文无关语言的结构特点,并给出了可交换上下文无关语言的Pumping引理。 展开更多
关键词 可交换上下文无关文法 可交换上下文无关语言 Pumping引理
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