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铁尾矿为调质剂的高炉熔渣流动性行为 被引量:3
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作者 刘卫星 李杰 +3 位作者 杨爱民 张玉柱 信自成 韩闯闯 《钢铁研究学报》 CAS CSCD 北大核心 2016年第6期19-24,共6页
分析了铁尾矿配比对矿渣成分设计参数的影响规律,采用高温熔体物性综合测定仪测定熔渣黏度、流动性等高温物化性能。采用主成分分析法和多元线性回归原理,建立了主成分与熔渣流动性的数学模型。研究结果表明:调质高炉渣的成分设计参数... 分析了铁尾矿配比对矿渣成分设计参数的影响规律,采用高温熔体物性综合测定仪测定熔渣黏度、流动性等高温物化性能。采用主成分分析法和多元线性回归原理,建立了主成分与熔渣流动性的数学模型。研究结果表明:调质高炉渣的成分设计参数更符合制取矿渣棉原料的要求;随着铁尾矿配比增加,熔渣黏度有升高的趋势,但高温区黏度较小、流动性较好,适宜的成纤温度区间变宽,调质高炉熔渣黏度、流动性更适合用于制备矿渣纤维;调质高炉熔渣适宜的酸度系数为1.2~1.4,即铁尾矿适宜的质量分数为5%~15%。 展开更多
关键词 高炉熔渣 黏度 流动性行为 数学模型 铁尾矿
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非预期广义信息到达与流动性动态行为研究
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作者 王春峰 余思婧 +1 位作者 房振明 孙端 《北京理工大学学报(社会科学版)》 CSSCI 2015年第3期77-82,共6页
在将信息定义拓展到更广泛内涵的基础上,结合日内跳跃识别方法,研究非预期广义信息冲击前后流动性的动态行为,深入分析信息的发生时间对流动性回复特性的影响。研究结果表明:信息到达能引起流动性多个维度的变化,且各维度反应程度和回... 在将信息定义拓展到更广泛内涵的基础上,结合日内跳跃识别方法,研究非预期广义信息冲击前后流动性的动态行为,深入分析信息的发生时间对流动性回复特性的影响。研究结果表明:信息到达能引起流动性多个维度的变化,且各维度反应程度和回复特性不同;信息的方向和非预期程度是影响流动性动态行为的重要因素;另外,中国市场开盘、午间休盘这两个特殊信号也将改变流动性日内回复的路径。 展开更多
关键词 非预期广义信息 日内跳跃 流动性动态行为 回复特性
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商业银行流动性风险传导的理论模型构建与测度指标设计--基于复杂网络视角
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作者 张梦实 孙政 《区域金融研究》 2023年第12期38-49,共12页
商业银行机构通过资金、支付、信息等渠道紧密联结,产生复杂的相互作用关系,与复杂网络模型的拓扑结构属性存在较好的一致性,通过建立商业银行系统与复杂网络的抽象映射,可以定量分析系统的动态特征和重要属性。文章基于复杂网络理论,... 商业银行机构通过资金、支付、信息等渠道紧密联结,产生复杂的相互作用关系,与复杂网络模型的拓扑结构属性存在较好的一致性,通过建立商业银行系统与复杂网络的抽象映射,可以定量分析系统的动态特征和重要属性。文章基于复杂网络理论,将复杂网络模型与流动性行为模型结合,并引入同步决策博弈机制,构建包含商业银行网络体系、商业银行个体流动性决策以及交易机制的流动性风险传导模型。基于该模型可定量测度流动性风险传导特性,测算银行间流动性风险传导的网络放大效应、网络层次和系统重要性节点。 展开更多
关键词 流动性 复杂网络模型 流动性行为决策模型 同步博弈 DGCN模型
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叶蜡石在合成金刚石中的流动规律研究及行为探析 被引量:1
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作者 王前进 杨晓军 +1 位作者 唐营 杨乐乐 《中国新技术新产品》 2015年第12期55-55,共1页
本文通过探讨研究叶蜡石在温度和压力作用下的流动规律,进一步分析了叶蜡石在合成金刚石中的影响,详细阐述了产生放炮和裂锤的根本原因。结果表明,白云石并不是一种性能良好的衬管材料;对于人造金刚石的合成,少量的水并不全是一件坏事;... 本文通过探讨研究叶蜡石在温度和压力作用下的流动规律,进一步分析了叶蜡石在合成金刚石中的影响,详细阐述了产生放炮和裂锤的根本原因。结果表明,白云石并不是一种性能良好的衬管材料;对于人造金刚石的合成,少量的水并不全是一件坏事;在合成金刚石中产生放炮和裂锤的根本原因是由于叶蜡石在较高温度和压力的作用下出现流动性不均匀所致;要想合成金刚石的稳定性得到有效提高,则必须根据高压模具的尺寸来进行叶蜡石尺寸和腔体尺寸的设计,而以往流行的"小压机、大腔体"是金刚石合成工艺的一个误区。 展开更多
关键词 叶蜡石 合成金刚石 流动性规律及行为研究
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茂金属聚乙烯改性高流动性聚乙烯性能研究 被引量:5
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作者 李健 朱宏勇 +1 位作者 陈明华 贾红兵 《现代塑料加工应用》 CAS 北大核心 2012年第5期1-4,共4页
为改善高流动性聚乙烯(HF-PE)的性能,采用茂金属乙烯-丁烯共聚物(mEDC)进行改性,通过熔融共混法制得mEDC/HF-PE共混物。研究了mEDC/HF-PE共混物的流变行为、力学性能、结晶性能,并和国内外HF-PE的性能进行比较。结果表明:mEDC改性HF-PE... 为改善高流动性聚乙烯(HF-PE)的性能,采用茂金属乙烯-丁烯共聚物(mEDC)进行改性,通过熔融共混法制得mEDC/HF-PE共混物。研究了mEDC/HF-PE共混物的流变行为、力学性能、结晶性能,并和国内外HF-PE的性能进行比较。结果表明:mEDC改性HF-PE专用料结晶温度和熔融温度稍高于7200HF-PE和52518HF-PE的,力学性能与7200HF-PE的相当,熔体流动速率(MFR)大于7200HF-PE和52518HF-PE的,相同温度下黏度均小于7200HF-PE和52518HF-PE的,在高剪切速率下具有高的温度敏感性,具有好的流动性和加工性能。 展开更多
关键词 茂金属聚乙烯 流动性聚乙烯熔体流动速率流变行为 力学性能
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滚动轴承微接触区域油膜流动特性的SPH数值分析
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作者 别艺楠 买买提明.艾尼 +1 位作者 金阿芳 马晓晶 《佳木斯大学学报(自然科学版)》 CAS 2016年第4期581-584,共4页
通过SPH方法的基本理论并结合Navier-Stokes方程,利用C语言研发了考虑油膜非线性流动性行为的软件系统,对滚动轴承微接触区域油膜进行了假设并建立了SPH数值计算模型,用不同的油膜粘度系数对滚动轴承微接触区域在富油条件下的油膜流动... 通过SPH方法的基本理论并结合Navier-Stokes方程,利用C语言研发了考虑油膜非线性流动性行为的软件系统,对滚动轴承微接触区域油膜进行了假设并建立了SPH数值计算模型,用不同的油膜粘度系数对滚动轴承微接触区域在富油条件下的油膜流动行为进行了探讨。根据极速启动的实际工况,模拟富油静压状态下在一定的粘度值不同时刻油膜粒子的压强变化,结果表明油膜压强在不同时刻呈现非线性变化的规律。并通过对粘度值的改变,探讨其对油膜粒子压强的影响,以揭示滚动轴承在复杂接触区域中油膜粒子的运动特性。 展开更多
关键词 SPH 非线性流动性行为 微接触区域 运动特性
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Effect of pouring and mold temperatures on fluidity and hot tearing behavior of cast Al-Li-Cu-Mg-Sc-Zr-Ti alloy
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作者 Yi-xiao WANG Guo-hua WU +4 位作者 Liang ZHANG You-jie GUO Xin TONG Liang-bin LI Xun-man XIONG 《Transactions of Nonferrous Metals Society of China》 2025年第3期669-683,共15页
The influence of pouring temperature and mold temperature on the fluidity and hot tearing behavior of Al-2Li-2Cu-0.5Mg-0.15Sc-0.1Zr-0.1Ti alloys was investigated by experimental investigation and simulation assessment... The influence of pouring temperature and mold temperature on the fluidity and hot tearing behavior of Al-2Li-2Cu-0.5Mg-0.15Sc-0.1Zr-0.1Ti alloys was investigated by experimental investigation and simulation assessment.The results showed that the length of the spiral fluidity sample increases from 302 to 756 mm as the pouring temperature increases from 680 to 740℃,and from 293 to 736 mm as the mold temperature increases from 200 to 400℃.The hot tearing susceptibility(HTS)firstly decreases and then increases with increasing pouring and mold temperatures,which is mainly caused by the oxide inclusion originating from the high activity of Li at excessive pouring temperature.Excessive pouring and mold temperatures easily produce oxide inclusions and holes,leading to a reduction in fluidity and an increase in HTS of the alloy.Combining the experimental and simulation results,the optimized pouring and mold temperatures are~720℃ and~300℃ for the cast Al-Li alloy,respectively. 展开更多
关键词 pouring temperature mold temperature FLUIDITY hot tearing behavior cast Al−Li alloy numerical simulation
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流动性覆盖率监管会影响货币政策风险承担渠道吗
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作者 陈忠阳 张同欣 《应用经济学评论》 2024年第1期111-141,共31页
本文从流动性覆盖率(LCR)监管要求出发,探究商业银行微观行为对货币政策风险承担渠道产生的影响及其作用机制。本文创新性地将LCR监管约束引入DLM的模型框架下,推导出商业银行资产负债结构调整对货币政策传导效率的影响及其作用机制。... 本文从流动性覆盖率(LCR)监管要求出发,探究商业银行微观行为对货币政策风险承担渠道产生的影响及其作用机制。本文创新性地将LCR监管约束引入DLM的模型框架下,推导出商业银行资产负债结构调整对货币政策传导效率的影响及其作用机制。在此基础上,采用我国116家商业银行2012—2021年的面板数据进行实证检验。本文发现,货币政策的风险承担渠道在中国显著存在,商业银行的风险承担会对存款准备金率的变动做出负向反馈。LCR监管要求对货币政策传导效率的影响取决于商业银行短期流动性管理行为的选择:商业银行囤积流动性资产将会减弱宽松货币政策带来的风险承担效应,而对融资渠道管理、提高负债质量的行为则会增强宽松货币政策带来的风险承担效应。LCR与净稳定资金比例(NSFR)监管要求和资本监管要求存在显著的交互作用。因此,应合理引导商业银行的流动性管理行为,提高商业银行经营的稳健性、安全性。 展开更多
关键词 流动性覆盖率 货币政策风险承担渠道 流动性管理行为
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3D modeling for effect of tool eccentricity on coupled thermal and material flow characteristics during friction stir welding
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作者 Hao SU Ji CHEN Chuan-song WU 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2024年第10期3309-3325,共17页
A novel three-dimensional numerical model is proposed to investigate the effect of tool eccentricity on the coupled thermal and material flow characteristics in friction stir welding(FSW) process.An asymmetrical bound... A novel three-dimensional numerical model is proposed to investigate the effect of tool eccentricity on the coupled thermal and material flow characteristics in friction stir welding(FSW) process.An asymmetrical boundary condition at the tool-workpiece interface,and the dynamic mesh technique are both employed for the consideration of the tool eccentricity during tool rotating.It is found that tool eccentricity induces the periodical variation of the heat densities both at the tool-workpiece interface and inside the shear layer,but the fluctuation amplitudes of the heat density variations are limited.However,it is demonstrated that tool eccentricity results in significant variation of the material flow behavior in one tool rotating period.Moreover,the material velocity variation at the retreating side is particularly important for the formation of the periodic characteristics in FSW.The modeling result is found to be in good agreement with the experimental one. 展开更多
关键词 friction stir welding tool eccentricity thermal behavior periodic material flow numerical simulation
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城市交通拥堵与空气污染的交互影响机制研究——基于滴滴出行的大数据分析 被引量:23
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作者 袁韵 徐戈 +1 位作者 陈晓红 贾建民 《管理科学学报》 CSSCI CSCD 北大核心 2020年第2期53-72,共20页
城市交通拥堵与空气污染等问题给我国城市的持续发展带来了严峻挑战.本文以成都市为样本,通过融合滴滴出行订单数据、空气质量数据、气候信息等,采用断点回归模型和中介变量分析,对交通拥堵与空气污染之间的交互影响机制进行了研究.结... 城市交通拥堵与空气污染等问题给我国城市的持续发展带来了严峻挑战.本文以成都市为样本,通过融合滴滴出行订单数据、空气质量数据、气候信息等,采用断点回归模型和中介变量分析,对交通拥堵与空气污染之间的交互影响机制进行了研究.结果显示,网约车运行规模的增加会加剧城市的空气污染,其机制是由于车辆流动效率降低这一中介变量的作用,即交通拥堵导致空气污染的增加.但另一方面,空气污染又会对交通拥堵产生抑制作用,而这一现象产生的机制是由于空气污染会促使人们的出行减少,车辆需求和运行规模的减少反而使流动效率增加.本文从人们流动性行为的视角,揭示了城市交通拥堵与空气污染之间的复杂关系,为这些问题的协同治理提供了理论和实证依据. 展开更多
关键词 城市交通拥堵 空气污染 流动性行为 滴滴出行 断点回归模型 中介变量分析
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Rheological characterization of A201 aluminum alloy 被引量:2
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作者 A.BLANCO Z.AZPILGAIN +2 位作者 J.LOZ ARES P.KAPRANOS I.HURTADO 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2010年第9期1638-1642,共5页
The thermodynamic characterization as well as the rheological characterization of the A201 alloy were conducted.Thermodynamic simulations (CALPHAD method) and calorimetric experiments were performed to determine the s... The thermodynamic characterization as well as the rheological characterization of the A201 alloy were conducted.Thermodynamic simulations (CALPHAD method) and calorimetric experiments were performed to determine the solidus and liquidus temperatures, the melting range and the sensitivity of the solid fraction at the thixoforming temperatures.The rheology of aluminium alloy A201 was examined using a high temperature Searle rheometer.The flow behaviour was analyzed with concentric cylinders of graphite to avoid chemical interactions with the liquid or semi-solid aluminium.The rotational body was grooved to prevent a phenomenon called wall slippage.Continuous cooling experiment was used to observe the shear rate effects on the flow behaviour.It can be seen that the viscosity level decreases at higher shear rates.Shear rate jump experiment was carried out to evaluate the steady state flow curve within the analyzed shear rate range from 60 s-1 to 260 s-1.It is found that the power law indexes are-1.35 and-1.49 for 35% and 45% solid fraction, respectively.Finally, some mechanical property data of as-cast and as-thixoformed A201 alloy are included indicating the potential for high strength applications. 展开更多
关键词 aluminum alloys RHEOLOGY mechanical properties semi-solid metal tixotropy SHEAR-THINNING
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Effects of groove on behavior of flow between hydro-viscous drive plates 被引量:1
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作者 黄家海 范毓润 +1 位作者 邱敏秀 方文敏 《Journal of Central South University》 SCIE EI CAS 2012年第2期347-356,共10页
The flow between a grooved and a flat plate was presented to investigate the effects of groove on the behavior of hydro-viscous drive. The flow was solved by using computational fluid dynamics (CFD) code, Fluent. Para... The flow between a grooved and a flat plate was presented to investigate the effects of groove on the behavior of hydro-viscous drive. The flow was solved by using computational fluid dynamics (CFD) code, Fluent. Parameters related to the flow, such as velocity, pressure, temperature, axial force and viscous torque, are obtained. The results show that pressure at the upstream notch is negative, pressure at the downstream notch is positive and pressure along the film thickness is almost the same. Dynamic pressure peak decreases as groove depth or groove number increases, but increases as output rotary speed increases. Consequently, the groove depth is suggested to be around 0.4 mm. Both the groove itself and groove parameters (i.e. groove depth, groove number) have little effect on the flow temperature. Circumferential pressure gradient induced by the groove weakens the viscous torque on the grooved plate (driven plate) greatly. It has little change as the groove depth increases. However, it decreases dramatically as the groove number increases. The experiment results show that the trend of experimental temperature and pressure are the same with numerical results. And the output rotary speed also has relationship with input flow rate and flow temperature. 展开更多
关键词 hydro-viscous drive variable viscosity groove effect numerical calculation
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Deformation division of metal flow behavior during extrusion process of 7075 aluminum alloy 被引量:2
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作者 李峰 初冠南 刘晓晶 《Journal of Central South University》 SCIE EI CAS 2009年第5期738-742,共5页
To reduce defects caused by non-homogeneous metal flow in conventional extrusion,a die with guiding angle was designed to improve the metal flow behavior. The characteristic quantities such as the second invariant of ... To reduce defects caused by non-homogeneous metal flow in conventional extrusion,a die with guiding angle was designed to improve the metal flow behavior. The characteristic quantities such as the second invariant of the deviator stress J2 and Lode's coefficient μ were employed for the division of deformation area. The results show that when the metal is extruded with the guiding angle,no metal flow interface forms at the container's bottom,the dead zone completely disappears,the deformation types of the metal in the plastic deformation area change from three types to one type of tension,and the homogeneity of the deformation as well as metal flow are greatly improved. The non-homogeneous metal flow at the final stage of extrusion is improved,reducing the shrinkage hole at the axis end. The radial stress of the furthest point from the axis is transformed from tensile stress to compressive stress and the axial stress,and decreased from 70.8 to 34.8 MPa. Therefore,the surface cracks caused by additional stress are greatly reduced. 展开更多
关键词 extrusion process flow defect deformation division
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“震荡”情形下中国股市微观结构变化研究
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作者 黄凝 《纳税》 2019年第17期171-172,175,共3页
本文以市场微观结构理论为基础,从波动性、流动性及价格行为角度窥探我国股市在震荡期间所呈现的微观结构变化。研究表明中国股市在震荡下行期间波动更大,跳跃频率与幅度也更高,同时市场流动性也会显著下降。研究显示震荡期间,股票流动... 本文以市场微观结构理论为基础,从波动性、流动性及价格行为角度窥探我国股市在震荡期间所呈现的微观结构变化。研究表明中国股市在震荡下行期间波动更大,跳跃频率与幅度也更高,同时市场流动性也会显著下降。研究显示震荡期间,股票流动性水平下降会导致价格大幅下跌,并且流动性水平越低,所要求的超额回报越高。本文研究结果以期能对各个主体更加深入、科学地认识资本市场有所借鉴。 展开更多
关键词 震荡波动性 流动性价格行为 微观结构
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Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method
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作者 Hongwei Li Junpeng Liu +1 位作者 Yunlong Zhou Bin Sun 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2016年第6期737-748,共12页
Gas–liquid two-phase flow is complex and has uncertainty in phase interfaces, which make the two-phase flow look very complicated. Even though the flow behavior(e.g. coalescence, crushing and separation) of single bu... Gas–liquid two-phase flow is complex and has uncertainty in phase interfaces, which make the two-phase flow look very complicated. Even though the flow behavior(e.g. coalescence, crushing and separation) of single bubble or bubble groups in the liquid phase looks random, combining some established characteristics and methodologies can find regularities among the randomness. In order to excavate the nonlinear dynamic characteristics of gas–liquid two-phase flow, the authors developed an improved matrix pencil(IMP) method to analyze the pressure difference signals of the two-phase flow. This paper elucidates the influence of signal length on MP calculation results and the anti-noise-interference ability of the MP method. An IMP algorithm was applied to the fluctuation signals of gas–liquid two-phase flow to extract the mode frequency and damping ratio, which were combined with the component energy index(CEI) entropy to identify the different flow patterns. It is also found that frequency, damping ratio, CEI entropy and stability diagram together not only identify flow patterns, but also provide a new way to examine and understand the evolution mechanism of physical dynamics embedded in flow patterns. Combining these characteristics and methods, the evolution of the nonlinear dynamic physical behavior of gas bubbles is revealed. 展开更多
关键词 Matrix pencil (MP) methodComponent energy index (CEI)Stability diagramFlow pattem identificationFlow dynamics
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Dynamics Behaviors and Scaling in Intermittent Turbulence of a Shell Model
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作者 SUN Peng CHEN Shi-Gang WANG Guang-Rui 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第1期149-152,共4页
In this paper, the dynamics behaviors on fo-δ parameter surface is investigated for Gledzer-Ohkitani- Yamada model We indicate the type of intermittency chaos transitions is saddle node bifurcation. We plot phase dia... In this paper, the dynamics behaviors on fo-δ parameter surface is investigated for Gledzer-Ohkitani- Yamada model We indicate the type of intermittency chaos transitions is saddle node bifurcation. We plot phase diagram on fo-δ parameter surface, which is divided into periodic, quasi-periodic, and intermittent chaos areas. By means of varying Taylor-microscale Reynolds number, we calculate the extended self-similarity of velocity structure function. 展开更多
关键词 saddle node bifurcation critical scaling Taylor-microscale Reynolds number extended self-similarity (ESS)
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Simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model 被引量:4
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作者 CHEN SongGui SUN QiCheng +1 位作者 JIN Feng LIU JianGuo 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第3期532-540,共9页
Fresh cement mortar is a type of workable paste, which can be well approximated as a Bingham plastic and whose flow behavior is of major concern in engineering. In this paper, Papanastasiou's model for Bingham fluids... Fresh cement mortar is a type of workable paste, which can be well approximated as a Bingham plastic and whose flow behavior is of major concern in engineering. In this paper, Papanastasiou's model for Bingham fluids is solved by using the multiple- relaxation-time lattice Boltzmann model (MRT-LB). Analysis of the stress growth exponent m in Bingham fluid flow simulations shows that Papanastasiou's model provides a good approximation of realistic Bingham plastics for values of m 〉 108. For lower values of m, Papanastasiou's model is valid for fluids between Bingham and Newtonian fluids. The MRT-LB model is validated by two benchmark problems: 2D steady Poiseuille flows and lid-driven cavity flows. Comparing the numerical results of the velocity distributions with corresponding analytical solutions shows that the MRT-LB model is appropriate for studying Bingham fluids while also providing better numerical stability. We further apply the MRT-LB model to simulate flow through a sudden expansion channel and the flow surrounding a round particle. Besides the rich flow structures obtained in this work, the dynamics fhi d force on the round particle is calculated. Results show that both the Reynolds number Re and the Bingham number Bn affect the drag coefficients Co, and a drag coefficient with Re and Bn being taken into account is proposed. The relationship of Bn and the ratio of unyielded zone thickness to particle diameter is also analyzed. Finally, the Bingham fluid flowing around a set of randomly dispersed particles is simulated to obtain the apparent viscosity and velocity fields. These results help simulation of fresh concrete flowing in porous media. 展开更多
关键词 Bingham fluids multiple-relaxation-time lattice Boltzmann model tbw profiles drag coefficient
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Coarse-grained Reuse of Workflows Based on Teamwork and Activity-Pattern-Oriented
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作者 Zhongqun Wang Qigong Chen Tao Liu Yong Wang Jun Li 《Journal of Systems Science and Information》 2007年第3期219-231,共13页
Flexibility plays an important part in the application of the workflow management system and has become one of the major research hotspots in this field recently. When adapting a workflow process definition to specifi... Flexibility plays an important part in the application of the workflow management system and has become one of the major research hotspots in this field recently. When adapting a workflow process definition to specific needs or changing the structure of the workflow process as a result of evolutionary change, coarse-grained reuse of work- flow is of significance to the reduction of the work effort, modeling system and enhancing the reliability of their work. Based on decomposition of workflow tasks and teamwork, this paper proposes an approach to describing interoperability behavior between roles in teamwork by using activity-pattern. In activity-pattern, abstract mechanisms of activity specialization and activity aggregation are presented, enabling reuse of workflow by means of reuse of interoperability behavior between roles. The experimental system shows that our approach presented is feasible. 展开更多
关键词 WORKFLOW flexibility TEAMWORK activity-pattern coarse-grained reuse
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GLOBAL DYNAMICS OF A DIFFERENTIAL SUSCEPTIBILITY MODEL
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作者 M. R. RAZVAN S. YASAMAN 《International Journal of Biomathematics》 2012年第5期219-238,共20页
An SIS epidemiological model in a population of varying size with two dissimilar groups of susceptible individuals has been analyzed. We prove that all the solutions tend to the equilibria of the system. Then we use t... An SIS epidemiological model in a population of varying size with two dissimilar groups of susceptible individuals has been analyzed. We prove that all the solutions tend to the equilibria of the system. Then we use the Poincar~ Index theorem to determine the number of the rest points and their stability properties. It has been shown that bistability occurs for suitable values of the involved parameters. We use the perturbations of the pitchfork bifurcation points to give examples of all possible dynamics of the system. Some numerical examples of bistability and hysteresis behavior of the systeIn has been also provided. 展开更多
关键词 Epidemiological model differential susceptibility disease-free equilibrium endemic equilibrium Poincar~ index bifurcation.
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