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Experiments on two-phase flow in hydraulic jump on pebbled rough bed:Part 1–Turbulence properties and particle chord time and length
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作者 Farhad Bahmanpouri Carlo Gualtieri Hubert Chanson 《Water Science and Engineering》 EI CAS CSCD 2023年第4期359-368,共10页
This study reported and discussed turbulence characteristics,such as turbulence intensity,correlation time scales,and advective length scales.The characteristic air–water time scale,including the particle chord time ... This study reported and discussed turbulence characteristics,such as turbulence intensity,correlation time scales,and advective length scales.The characteristic air–water time scale,including the particle chord time and length and their probability density functions(PDFs),was investigated.The results demonstrated that turbulence intensity was relatively greater on a rough bed in the roller length,whereas further downstream,the decay rate was higher.In addition,the relationship between turbulence intensity and dimensionless bubble count rate reflected an increase in turbulence intensity associated with the number of entrained particles.Triple decomposition analysis(TDA)was performed to determine the contributions of slow and fast turbulent components.The TDA results indicated that,regardless of bed type and inflow conditions,the sum of the band-pass(T'_(u))and high-pass(T″_(u))filtered turbulence intensities was equal to the turbulence intensity of the raw signal data(T_(u)).T″_(u) highlighted a higher turbulence intensity and larger vorticities on the rough bed for an identical inflow Froude number.Additional TDA results were presented in terms of the interfacial velocity,auto-and cross-correlation time scales,and longitudinal advection length scale,with the effects of low-and high-frequency signal components on each highlighted parameter.The analysis of the air chord time indicated an increase in the proportion of small bubbles moving downstream.The second part of this research focused on the basic properties of particle grouping and clustering. 展开更多
关键词 Hydraulic jump pebbled rough bed Turbulence intensity Particle chord time Two-phase flow
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Experiments on two-phase flow in hydraulic jump on pebbled rough bed:Part 2–Bubble clustering
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作者 Farhad Bahmanpouri Carlo Gualtieri Hubert Chanson 《Water Science and Engineering》 EI CAS CSCD 2023年第4期369-380,共12页
A survey on bubble clustering in air–water flow processes may provide significant insights into turbulent two-phaseflow.These processes have been studied in plunging jets,dropshafts,and hydraulic jumps on a smooth bed.... A survey on bubble clustering in air–water flow processes may provide significant insights into turbulent two-phaseflow.These processes have been studied in plunging jets,dropshafts,and hydraulic jumps on a smooth bed.As a first attempt,this study examined the bubble clustering process in hydraulic jumps on a pebbled rough bed using experimental data for 1.70<Fr_(1)<2.84(with Fr_(1) denoting the inflow Froude number).The basic properties of particle grouping and clustering,including the number of clusters,the dimensionless number of clusters per second,the percentage of clustered bubbles,and the number of bubbles per cluster,were analyzed based on two criteria.For both criteria,the maximum cluster count rate was greater on the rough bed than on the smooth bed,suggesting greater interactions between turbulence and bubbly flow on the rough bed.The results were consistent with the longitudinal distribution of the interfacial velocity using one of the criteria.In addition,the clustering process was analyzed using a different approach:the interparticle arrival time of bubbles.The comparison showed that the bubbly flow structure had a greater density of bubbles per unitflux on the rough bed than on the smooth bed.Bed roughness was the dominant parameter close to the jump toe.Further downstream,Fr_(1) predominated.Thus,the rate of bubble density decreased more rapidly for the hydraulic jump with the lowest Fr_(1). 展开更多
关键词 Hydraulic jump pebbled rough bed Clustering analysis Interparticle arrival time Two-phase flow
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Depositional process of hyperpycnal flow deposits:A case study on Lower Cretaceous Sangyuan outcrop in the Luanping Basin,Northeast China
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作者 De-zhi Yan Ru-kai Zhu +8 位作者 Hao Shou Zhao-hui Xu Wei-hong Liu Si-cheng Zhu Zhi-cheng Lei Jing-ya Zhang Chang Liu Yi Cai Huai-min Xu 《China Geology》 CAS CSCD 2024年第3期505-516,共12页
Sedimentary process research is of great significance for understanding the distribution and characteristics of sediments.Through the detailed observation and measurement of the Sangyuan outcrop in Luanping Basin,this... Sedimentary process research is of great significance for understanding the distribution and characteristics of sediments.Through the detailed observation and measurement of the Sangyuan outcrop in Luanping Basin,this paper studies the depositional process of the hyperpycnal flow deposits,and divides their depositional process into three phases,namely,acceleration,erosion and deceleration.In the acceleration phase,hyperpycnal flow begins to enter the basin nearby,and then speeds up gradually.Deposits developed in the acceleration phase are reverse.In addition,the original deposits become unstable and are taken away by hyperpycnal flows under the eroding force.As a result,there are a lot of mixture of red mud pebbles outside the basin and gray mud pebbles within the basin.In the erosion phase,the reverse deposits are eroded and become thinner or even disappear.Therefore,no reverse grading characteristic is found in the proximal major channel that is closer to the source,but it is still preserved in the middle branch channel that is far from the source.After entering the deceleration phase,normally grading deposits appear and cover previous deposits.The final deposits in the basin are special.Some are reverse,and others are normal.They are superimposed with each other under the action of hyperpycnal flow.The analysis of the Sangyuan outcrop demonstrates the sedimentary process and distribution of hyperpycnites,and reasonably explain the sedimentary characteristics of hyperpycnites.It is helpful to the prediction of oil and gas exploration targets in gravity flow deposits. 展开更多
关键词 Hyperpycnal flow Sedimentary characteristics Depositional process Gravity flow deposit Hyperpycnite Red mud pebble Gray mud pebble Oil and gas exploration engineering Luanping Basin
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Enhancing XRF sensor-based sorting of porphyritic copper ore using particle swarm optimization-support vector machine(PSO-SVM)algorithm
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作者 Zhengyu Liu Jue Kou +5 位作者 Zengxin Yan Peilong Wang Chang Liu Chunbao Sun Anlin Shao Bern Klein 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2024年第4期545-556,共12页
X-ray fluorescence(XRF)sensor-based ore sorting enables efficient beneficiation of heterogeneous ores,while intraparticle heterogeneity can cause significant grade detection errors,leading to misclassifications and hi... X-ray fluorescence(XRF)sensor-based ore sorting enables efficient beneficiation of heterogeneous ores,while intraparticle heterogeneity can cause significant grade detection errors,leading to misclassifications and hindering widespread technology adoption.Accurate classification models are crucial to determine if actual grade exceeds the sorting threshold using localized XRF signals.Previous studies mainly used linear regression(LR)algorithms including simple linear regression(SLR),multivariable linear regression(MLR),and multivariable linear regression with interaction(MLRI)but often fell short attaining satisfactory results.This study employed the particle swarm optimization support vector machine(PSO-SVM)algorithm for sorting porphyritic copper ore pebble.Lab-scale results showed PSO-SVM out-performed LR and raw data(RD)models and the significant interaction effects among input features was observed.Despite poor input data quality,PSO-SVM demonstrated exceptional capabilities.Lab-scale sorting achieved 93.0%accuracy,0.24%grade increase,84.94%recovery rate,57.02%discard rate,and a remarkable 39.62 yuan/t net smelter return(NSR)increase compared to no sorting.These improvements were achieved by the PSO-SVM model with optimized input combinations and highest data quality(T=10,T is XRF testing times).The unsuitability of LR methods for XRF sensor-based sorting of investigated sample is illustrated.Input element selection and mineral association analysis elucidate element importance and influence mechanisms. 展开更多
关键词 XRF sensor-based sorting PSO-SVM algorithm Copper ore pebble Receiver operating curve(ROC) Net smelter return(NSR)
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不同燃料组合在液态氟盐冷却高温堆中的物理性能研究 被引量:3
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作者 陈亮 陈金根 +4 位作者 李晓晓 蔡翔舟 孙建友 蒋大真 姚泽恩 《核技术》 CAS CSCD 北大核心 2014年第3期54-58,共5页
液态氟盐冷却高温堆是第四代反应堆中的一种具有极大优势的堆型,对其燃料的研究工作具有重要的意义。本工作采用SCALE5.1程序包,对六种不同燃料组合在高温球床堆中的物理性能进行了研究,分别比较了剩余反应性、等效满功率运行天数、燃... 液态氟盐冷却高温堆是第四代反应堆中的一种具有极大优势的堆型,对其燃料的研究工作具有重要的意义。本工作采用SCALE5.1程序包,对六种不同燃料组合在高温球床堆中的物理性能进行了研究,分别比较了剩余反应性、等效满功率运行天数、燃耗和中子能谱等重要参数。结果显示,采用233U或235U启堆时,使用232Th的实际转换成裂变材料的量不如使用238U转换的多,并会消耗更多的核燃料;采用239Pu启堆时,使用232Th可使反应堆维持较长的时间,而使用238U却导致反应堆很快不能自持。研究表明,从节约核燃料和延长堆芯寿期的角度看,在不进行在线换料后处理的情况下,232Th在热堆中的表现不如238U,但在超热堆中238U的表现不如232Th。 展开更多
关键词 高温堆 球床堆 Pebble球 TMSR(Thorium MOLTEN-SALT Reactor) 超热中子堆
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圈的中间图pebbling数和Graham猜想 被引量:2
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作者 叶永升 刘芳 翟明清 《运筹学学报》 CSCD 北大核心 2013年第3期35-44,共10页
图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的1个pebble移到与其相邻的一个顶点上.图G的pebbling数f(G)是最小的正整数n,使得不论n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动,把1个pebble移到图G的任... 图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的1个pebble移到与其相邻的一个顶点上.图G的pebbling数f(G)是最小的正整数n,使得不论n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动,把1个pebble移到图G的任意一个顶点上.图G的中间图M(G)就是在G的每一条边上插入一个新点,再把G上相邻边上的新点用一条边连接起来的图.对于任意两个连通图G和H,Graham猜测f(G×H)≤f(G)f(H).首先研究了圈的中间图的pebbling数,然后讨论了一些圈的中间图满足Graham猜想. 展开更多
关键词 GRAHAM猜想 中间图 PEBBLING数
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纳米级PEBBLE传感器研究进展 被引量:1
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作者 田臻锋 郭茂田 +3 位作者 陈兴科 王慧 王世明 张荣兰 《微纳电子技术》 CAS 2005年第1期7-12,47,共7页
介绍了纳米量级 PEBBLE 传感器的特点、制备方法、当前的应用及发展趋势,重点阐述了基于对细胞内氧成分探测的比例参量 PEBBLE 传感器。
关键词 纳米 纳米传感器 PEBBLE传感器
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广义友谊图乘积上的Graham pebbling猜想 被引量:1
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作者 高泽图 尹建华 李文雅 《高校应用数学学报(A辑)》 CSCD 北大核心 2008年第4期487-491,共5页
连通图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上.Graham猜测对于任意的连通图G和H有f(G×H)≤f(G)f(H).文中证明了当H为友谊... 连通图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上.Graham猜测对于任意的连通图G和H有f(G×H)≤f(G)f(H).文中证明了当H为友谊图或广义友谊图,G是一个具有2-pebbling性质的图时,Graham猜想成立.作为一个推论,文中也证明了当G和H是友谊图或广义友谊图时,Graham猜想成立. 展开更多
关键词 PEBBLING GRAHAM猜想 友谊图 广义友谊图
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几类二部图的pebbling数 被引量:1
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作者 高泽图 尹建华 《高校应用数学学报(A辑)》 CSCD 北大核心 2010年第3期365-371,共7页
Chung定义了图G上的一个pebbling移动是从一个顶点移走两个pebble而把其中的一个移到与其相邻的一个顶点上.连通图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebbl... Chung定义了图G上的一个pebbling移动是从一个顶点移走两个pebble而把其中的一个移到与其相邻的一个顶点上.连通图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到G的任意一个顶点上.Graham猜测对于任意的连通图G和H有f(G×H)≤f(G)f(H).作者们验证了三类二部图的2-pebbling性质以及当H为此类二部图,G为一个2-pebbling性质的图时,Graham猜想成立. 展开更多
关键词 PEBBLING数 GRAHAM猜想 二部图
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关于正则二部图的Pebbling数 被引量:1
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作者 高泽图 《海南大学学报(自然科学版)》 CAS 2008年第3期225-230,共6页
图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上,其中图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的一个移到与其相邻... 图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上,其中图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的一个移到与其相邻的一个顶点上.证明了具有2m个顶点的k-正则二部图的Pebbling数为2m,其中k≥「(m+1)/2﹁. 展开更多
关键词 PEBBLING 正则二部图 传送子图
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熔盐冷却球床堆热通道热工水力特性数值分析 被引量:6
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作者 牛强 宋士雄 +4 位作者 魏泉 刘亚芬 梅龙伟 郭威 蔡翔舟 《核技术》 CAS CSCD 北大核心 2014年第7期79-86,共8页
基于计算流体力学(Computational Fluid Dynamics,CFD)通用计算程序Fluent,研究了模块化熔盐冷却球床堆(Pebble Bed Advanced High Temperature Reactor,PB-AHTR)中心热通道稳态热工水力行为。利用已开发的多孔介质流固两相局域非热平... 基于计算流体力学(Computational Fluid Dynamics,CFD)通用计算程序Fluent,研究了模块化熔盐冷却球床堆(Pebble Bed Advanced High Temperature Reactor,PB-AHTR)中心热通道稳态热工水力行为。利用已开发的多孔介质流固两相局域非热平衡模型计算了球床堆中的压降、冷却剂的温场分布以及固相球床的温场分布,计算并比较了不同的多孔介质阻力因子(Ergun与KTA)对通道内的冷却剂流动以及温场分布的影响,并对丧失部分冷却剂情况下通道内的冷却剂及燃料温度进行了计算分析。结果表明使用不同的阻力因子对堆芯压降计算结果和流场的分布影响较大;而冷却剂温场及固相球床温场和球心的温度分布在不同的阻力因子下的差别较小,在PB-AHTR的设计参数下堆芯产生的热量能够被有效的输出,设计具有较大的安全裕度。计算结果对于球床堆的优化设计提供了一定的参考价值。 展开更多
关键词 熔盐冷却球床堆(Pebble Bed Advanced High Temperature Reactor PB-AHTR) 热工水力 多孔介质
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关于0类图的一个注记
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作者 高泽图 《琼州学院学报》 2014年第2期12-14,共3页
在图G的顶点上放置一些Pebble,图G的一个Pebbling移动是从一个顶点移走两个Pebble而把其中的一个移到与其相邻的一个顶点上.连通图G的Pebbling数f(G)是最小的正整数n,使得不管n个Pebble如何放置在G的顶点上,总可以通过一系列的Pebbling... 在图G的顶点上放置一些Pebble,图G的一个Pebbling移动是从一个顶点移走两个Pebble而把其中的一个移到与其相邻的一个顶点上.连通图G的Pebbling数f(G)是最小的正整数n,使得不管n个Pebble如何放置在G的顶点上,总可以通过一系列的Pebbling移动把一个Pebble移到图G的任意一个顶点上.Graham猜测:对于任意的连通图G和H,有f(G×H)≤f(G)f(H).若f(G)=|V(G)|,称G是0类的(Class 0).证明了有关0类图的一个结果.作为推论,得到了P×C5和P×P都是0类图,其中P是Petersen图. 展开更多
关键词 PEBBLING数 GRAHAM猜想 0类图 PETERSEN图
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Evolution of the Late Cretaceous Yongfeng-Chongren Basin in Jiangxi Province,southeast China: insights from sedimentary facies analysis and pebble counting 被引量:11
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作者 CHEN Liu-qin GUO Fu-sheng TANG Chao 《Journal of Mountain Science》 SCIE CSCD 2016年第2期342-351,共10页
The Gan-Hang Belt in Southeast China is characterized by several igneous and siliciclastic basins associated with crustal extension during Late Mesozoic. The sedimentary evolution of the red basins is still poorly und... The Gan-Hang Belt in Southeast China is characterized by several igneous and siliciclastic basins associated with crustal extension during Late Mesozoic. The sedimentary evolution of the red basins is still poorly understood. In this study, sedimentary fades analysis and pebble counting were performed on outcrop sections of the Late Cretaceous Guifeng Group in the Yongfeng-Chongren Basin in central Jiangxi Province. Thirty-five conglomerate outcrops were chosen to measure pebble lithology, size, roundness, weathering degree and preferred orientation. Results show that gravels are mostly fine to coarse pebbles and comprise dominantly quartzites, metamorphic rocks, granitoids and sandstones. Rose diagrams based on imbricated pebbles indicate variable paleocurrent directions. Combining with typical sedimentary structures and vertical successions, we suggest that the Guifeng Group were deposited in alluvial fan, river and playa lake depositional systems. The proposed depositional model indicates that the Hekou Formation represents the start-up stage of the faulted basin, accompanied by sedimentation in alluvial fan and braided river environments. Then this basin turned into a stable expansion stage during the deposition of the Tangbian Formation. Except for minor coarse sediments at the basin margin, the other area is covered with fine-grained sediments of lake and river environments. The Lianhe Formation, however, is once again featured by conglomerates, suggesting a probable tectonic event. Therefore, the study region possibly suffered two tectonic events represented by the conglomerates of the Hekou and Lianhe formations in the context of the crustal extension in Southeast China. 展开更多
关键词 Late Cretaceous redbeds Pebble counting Yongfeng-Chongren Basin Gan-Hang Belt Geological evolution
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多扇图的Pebbling数和Graham猜想
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作者 王艳秋 叶永升 《运筹与管理》 CSSCI CSCD 北大核心 2015年第4期137-140,共4页
图G的pebbling数f(G)是最小的整数n,使得不论n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把1个pebble移到任意一个顶点上,其中一个pebbling移动是从一个顶点处移走两个pebble而把其中的一个移到与其相邻的一个顶点上... 图G的pebbling数f(G)是最小的整数n,使得不论n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把1个pebble移到任意一个顶点上,其中一个pebbling移动是从一个顶点处移走两个pebble而把其中的一个移到与其相邻的一个顶点上。Graham猜想对于任意的连通图G和H有f(G×H)≤f(G)f(H)。多扇图Fn1,n2,…,nm是指阶为n1+n2+…+nm+1的联图P1∨(Pn1∪Pn2∪…∪Pnm)。本文首先给出了多扇图的pebbling数,然后证明了多扇图Fn1,n2,…,nm具有2-pebbling性质,最后论述了对于一个多扇图和一个具有2-pebbling性质的图的乘积来说,Graham猜想是成立的。作为一个推论,当G和H都是多扇图时,Graham猜想成立。 展开更多
关键词 运筹学 PEBBLING数 GRAHAM猜想 pebbling移动 多扇图
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Current Status of the Fabrication of Li_4SiO_4and Beryllium Pebbles for CN HCCB TBM in SWIP 被引量:4
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作者 冯勇进 冯开明 +2 位作者 曹启祥 张建利 胡劲 《Plasma Science and Technology》 SCIE EI CAS CSCD 2013年第3期291-294,共4页
Tritium breeder and neutron multiplier as functional materials play an important role not only in ITER test blanket module (TBM) but also in fusion reactor. The paper describes the status of the fabrication of the t... Tritium breeder and neutron multiplier as functional materials play an important role not only in ITER test blanket module (TBM) but also in fusion reactor. The paper describes the status of the fabrication of the two materials in Southwestern Institute of Physics (SWIP). Li4SiO4 pebbles were fabricated by melt-spraying method. Most of the pebbles with the diazneter of 1.0 mm are well spherically shaped. The properties of the pebbles have been investigated. The results show that the pebbles produced by this method have a high density of 93% TD (theoretical density). It was also found that the open/closed porosity will be decreased after thermal treatment, but the average crush load will be increased to 7 N. The rotating electrode process (REP) has been adopted to produce beryllium pebble for impurity control and mass production. The pebbles with the diameter of 1.0 mm were produced by REP. The beryllium pebbles produced by REP look almost perfectly spherical with a very smooth surface and a high density of 98% TD. The test results indicate that REP method has excellent prospects for the fabrication of beryllium pebbles and the attractiveness of their properties. 展开更多
关键词 Li4SiO4 pebbles melt-spraying method beryllium pebbles REP
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Study of heat transfer by using DEM–CFD method in a randomly packed pebble-bed reactor 被引量:2
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作者 Qiang Niu Na-Xiu Wang 《Nuclear Science and Techniques》 SCIE CAS CSCD 2019年第2期123-134,共12页
The pebble-bed reactor is one of the most promising designs for the nuclear energy industry. In this paper,a discrete element method-computational fluid dynamics(DEM-CFD) approach that includes thermal conduction, rad... The pebble-bed reactor is one of the most promising designs for the nuclear energy industry. In this paper,a discrete element method-computational fluid dynamics(DEM-CFD) approach that includes thermal conduction, radiation, and natural convection mechanisms was proposed to simulate the thermal-fluid phenomena after the failure of forced circulation cooling system in a pebble-bed core. The whole large-scale packed bed was created using the DEM technique, and the calculated radial porosity of the bed was validated with empirical correlations reported by researchers. To reduce computational costs, a segment of the bed was extracted, which served as a good representative of the large-scale packed bed for CFD calculation. The temperature distributions simulated with two different fluids in this DEM-CFD approach were in good agreement with SANA experimental data. The influence of the natural convection mechanism on heat transfer must be taken into account for coolants with strong convective capacity. The proposed DEM-CFD methodology offers a computationally efficient and widely applied method for understanding the heat transfer process in a pebble-bed core. The method can also be easily extended to assess the passive safety features of newly designed fluoride-salt-cooled pebble-bed reactors. 展开更多
关键词 DISCRETE element method COMPUTATIONAL fluid dynamics PEBBLE BED Heat transfer Natural CONVECTION
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路和圈的最优一般Pebbling数
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作者 史彩霞 叶永升 《佳木斯大学学报(自然科学版)》 CAS 2013年第3期461-463,466,共4页
图G的一个一般pebbling移动是从一个顶点移走p(p≥2)个pebble,而把其中的一个移到与其相邻的一个顶点上.图G的一般pebbling数fgl(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列一般pebbling移动把一个pebbl... 图G的一个一般pebbling移动是从一个顶点移走p(p≥2)个pebble,而把其中的一个移到与其相邻的一个顶点上.图G的一般pebbling数fgl(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列一般pebbling移动把一个pebble移到图G的任意一个顶点上.图G的一个分布是可解的,当通过一系列一般pebbling移动,能把一个pebble移到其任意一个顶点上.图G的最优一般pebbling数fgl'(G)是可解分布中最小的,即利用fgl'(G)个pebble以构造一个可解分布,且这时需要的pebble个数最少.本文采用反证法,通过去掉一个顶点,改变路(或圈)为其子图,并选择一个可解分布.而这时所用的pebble数要比其最优一般pebbling数小,得到矛盾,这样就证明了路和圈的最优一般pebbling数. 展开更多
关键词 一般pebbling移动 最优一般pebbling数
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C_3×C_n的最优pebbling数
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作者 高洁 叶永升 +1 位作者 程芳 史彩霞 《淮北师范大学学报(自然科学版)》 CAS 2013年第4期1-5,共5页
图G上的一个pebbling移动是从一个顶点移走两个pebble,把其中的一个pebble移到与其相邻的一个顶点上.图G的最优pebbling数fopt(G)是最小的正整数,使得把n个pebble恰当地放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移... 图G上的一个pebbling移动是从一个顶点移走两个pebble,把其中的一个pebble移到与其相邻的一个顶点上.图G的最优pebbling数fopt(G)是最小的正整数,使得把n个pebble恰当地放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到任何一个指定的顶点上.本文给出了C3×Cn的最优pebbling数. 展开更多
关键词 最优pebbling数 pebbling移动
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扇图的覆盖数
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作者 杨世广 叶永升 《佳木斯大学学报(自然科学版)》 CAS 2012年第6期920-921,共2页
图G的一个pebbling移动是从一个顶点移走2个pebble,扔掉其中的一个而把另一个移到与其相邻的一个顶点上.本文主要借助图G的pebbling移动原理,利用综合分析的方法研究了扇图的覆盖数,进而得出求解扇图覆盖数的方法.
关键词 pebbling移动 综合分析 扇图 覆盖数
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C_5的刺图的Pebbling数和2-Pebbling性质
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作者 郝冬林 尹建华 《海南大学学报(自然科学版)》 CAS 2011年第3期209-212,共4页
连通图G的Pebbling数f(G)是最小的整数n,使得不论n个Pebble如何放置在G的顶点上,总可以通过一系列的Pebbling移动把1个Pebble移到图G任意一个目标顶点上.其中,1个Pebbling移动是从一个顶点上移走2个Pebble,而把其中一个移到与其相邻的... 连通图G的Pebbling数f(G)是最小的整数n,使得不论n个Pebble如何放置在G的顶点上,总可以通过一系列的Pebbling移动把1个Pebble移到图G任意一个目标顶点上.其中,1个Pebbling移动是从一个顶点上移走2个Pebble,而把其中一个移到与其相邻的一个顶点上,获得了C5的刺图的Pebbling数,并证明其满足2-Pebbling性质. 展开更多
关键词 刺图 PEBBLING数 2-Pebbling性质
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