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轴流式通风机出口整流体性能优化 被引量:4
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作者 朱正林 辛洪祥 徐治皋 《风机技术》 2006年第3期9-10,共2页
对轴流式通风机出口整流体的性能进行了试验,通过对性能试验数据的分析,再结合轴流式通风机的实际工况,提出了在实际应用中可行的轴流式通风机出口整流体的几何形状,以达到提高风机及相应管网性能的目的。
关键词 轴流式通风机 整流体 性能
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矿井主扇扩散芯筒出流速度分布数值模拟研究 被引量:1
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作者 李轶群 王海桥 +1 位作者 陈世强 邹祖云 《矿业工程研究》 2010年第3期68-71,共4页
扩散芯筒出流速度分布直接影响扩散器入口速度分布,进而影响主扇运行效率.根据工程现场情况,在扩散芯筒外筒体角度为2.1°~5.5°的范围内,和在扩散芯筒整流体角度为2.50-6.00的范围内,建立了多个矿井主扇扩散芯筒的... 扩散芯筒出流速度分布直接影响扩散器入口速度分布,进而影响主扇运行效率.根据工程现场情况,在扩散芯筒外筒体角度为2.1°~5.5°的范围内,和在扩散芯筒整流体角度为2.50-6.00的范围内,建立了多个矿井主扇扩散芯筒的物理模型.根据扩散芯筒出流平均速度,建立了扩散芯筒入口速度赋值公式,利用自定义函数初始化了入口速度边界.在扩散芯筒出流平均速度为6.0—10m/s范围内,利用Fluent数值模拟软件包,借助可实现κ-ε两方程湍流模型,进行了扩散芯筒多工况数值模拟.扩散芯筒数值模拟结果表明,就扩散芯筒出流速度分布而言,整流体角度的影响作用大于外筒体角度;在扩散芯筒整流体角度6.0°的优化情况下,随着外筒体角度增加和来流速度增大,扩散芯筒出流速度分布均匀度逐渐变差. 展开更多
关键词 扩散芯筒 整流体角度 外筒体角度 速度分布 数值模拟
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通风机的结构与效率 被引量:1
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作者 何耀华 邓娟 《中国水运(下半月)》 2008年第6期138-,140,共2页
我国制造业的高速发展,使得风机的使用量大幅增加,于是节能降耗变成为风机领域的研究重点。论文对影响风机效率的诸多因素进行了深入分析,研讨了改进和优化风机结构设计以提高风机效率的相关问题。
关键词 通风机 翼型法 叶栅法 整流体
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CFD Simulation of Film Flow and Gas/Liquid Countercurrent Flow on Structured Packing 被引量:8
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作者 高国华 张吕鸿 +1 位作者 李鑫钢 隋红 《Transactions of Tianjin University》 EI CAS 2011年第3期194-198,共5页
A mathematic model of two-phase flow and a physical model of two-dimensional (2D) vertical section for the plate-type structured packing Mellapak 250.Y were set up and verified. The models were used to study the influ... A mathematic model of two-phase flow and a physical model of two-dimensional (2D) vertical section for the plate-type structured packing Mellapak 250.Y were set up and verified. The models were used to study the influence of packing’s surface microstructure on the continuity of liquid film and the amount of liquid holdup. Simulation results show that the round corner shape and micro wavy structure are favorable in remaining the continuity of liquid film and increasing the amount of liquid holdup. The appropriate liquid flow rate was determined by investigating different liquid loadings to obtain an unbroken liquid film on the packing surface. The pressure difference between inlet and outlet for gas phase allowed gas and liquid to flow countercurrently in a 2D computational domain. The direction change of gas flow occurred near the phase interface area. 展开更多
关键词 two-dimension computational fluid dynamics (CFD) film distribution countercurrent flow
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Seasonal Variations of Several Main Water Masses in the Southern Yellow Sea and East China Sea in 2011 被引量:7
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作者 QUAN Qi MAO Xinyan +3 位作者 YANG Xiaodan HU Yingying ZHANG Haiyan JIANG Wensheng 《Journal of Ocean University of China》 SCIE CAS 2013年第4期524-536,共13页
The seasonal variations of several main water masses in the southern Yellow Sea (SYS) and East China Sea (ECS) in 2011 were analyzed using the in-situ data collected on four cruises.There was something special in the ... The seasonal variations of several main water masses in the southern Yellow Sea (SYS) and East China Sea (ECS) in 2011 were analyzed using the in-situ data collected on four cruises.There was something special in the observations for the Yellow Sea Warm Current (YSWC) ,the Yellow Sea Cold Water Mass (YSCWM) and the Changjiang Diluted Water (CDW) during that year.The YSWC was confirmed to be a seasonal current and its source was closely associated with the Kuroshio onshore intrusion and the northerly wind.It was also found that the YSCWM in the summer of 2011 occupied a more extensive area in comparison with the climatologically-mean case due to the abnormally powerful wind prevailing in the winter of 2010 and decaying gradually thereafter.Resulting from the reduced Changjiang River discharge,the CDW spreading toward the Cheju Island in the summer of 2011 was weaker than the long-term mean and was confined to flow southward in the other seasons.The other water masses seemed normal without noticeable anomalies in 2011.The Yellow Sea Coastal Current (YSCC) water,driven by the northerly wind,flowed southeastward as a whole except for its northeastward surface layer in summer.The Taiwan Warm Current (TWC) was the strongest in summer and the weakest in winter in its northward movement.The Kuroshio water with an enhanced onshore intrusion in autumn was stable in hydrographic features apart from the seasonal variation of its surface layer. 展开更多
关键词 water masses seasonal variations southern Yellow Sea East China Sea
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Analysis of an Epidemic Model with Age of Vaccination 被引量:2
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作者 GUO Shu-li DING Feng-xia 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第4期545-552,共8页
A simple SI epidemic model with age of vaccination is discussed in this paper.Both vexing birth rate, the mortality rate caused by disease and vaccine waning rate areconsidered in this model. We prove that the global ... A simple SI epidemic model with age of vaccination is discussed in this paper.Both vexing birth rate, the mortality rate caused by disease and vaccine waning rate areconsidered in this model. We prove that the global dynamics is completely determined bythe basic reproductive number R(ψ)(ψ denotes per capita vaccination rate). If R(0) 〈 1,the disease-free equilibrium is a global attractor; If R(ψ) 〈: 1, the disease-free equilibriumis locally asymptotically stable; If R(ψ) :〉 1, an unique endemic equilibrium exists and islocally asymptotically stable under certain condition. 展开更多
关键词 SI model VACCINATION EQUILIBRIUM STABILITY
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Global Existence in H^2 for a 1-d Non-monotone Fluid 被引量:1
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作者 吴中林 徐娟娟 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第2期296-304,共9页
In this paper, we prove the existence in H+^2, an incomplete metric subspace of H^2×H^2×H^2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domainΩ=(0,1). The resul... In this paper, we prove the existence in H+^2, an incomplete metric subspace of H^2×H^2×H^2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domainΩ=(0,1). The results in this paper have improved those previously related results. 展开更多
关键词 non-monotone fluid mixed free boundary model global existence priori estimates
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Stability of the Newton-Like algorithm in optimization flow control
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作者 杨军 李世勇 +1 位作者 唐美芹 关新平 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2007年第6期803-806,共4页
The stability of the Newton-like algorithm in optimization flow control is considered in this paper. This algorithm is proved to be globally stable under a general network topology by means of Lyapunov stability theor... The stability of the Newton-like algorithm in optimization flow control is considered in this paper. This algorithm is proved to be globally stable under a general network topology by means of Lyapunov stability theory,without considering the round trip time of each source. While the stability of this algorithm with considering the round trip time is analyzed as well. The analysis shows that the algorithm with only one bottleneck link accessed by several sources is also globally stable,and all trajectories described by this algorithm ultimately converge to the equilibrium point. 展开更多
关键词 flow control Newton-like algorithm OPTIMIZATION global stability Lyapunov function
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Three-dimensional Computational Fluid Dynamics Modeling of Two-phase Flow in a Structured Packing Column 被引量:4
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作者 张小斌 姚蕾 +1 位作者 邱利民 张学军 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2013年第9期959-966,共8页
Characterizing the complex two-phase hydrodynamics in structured packed columns requires a power- ful modeling tool. The traditional two-dimensional model exhibits limitations when one attempts to model the de- tailed... Characterizing the complex two-phase hydrodynamics in structured packed columns requires a power- ful modeling tool. The traditional two-dimensional model exhibits limitations when one attempts to model the de- tailed two-phase flow inside the columns. The present paper presents a three-dimensional computational fluid dy- namics (CFD) model to simulate the two-phase flow in a representative unit of the column. The unit consists of an CFD calculations on column packed with Flexipak 1Y were implemented within the volume of fluid (VOF) mathe- matical framework. The CFD model was validated by comparing the calculated thickness of liquid film with the available experimental data. Special attention was given to quantitative analysis of the effects of gravity on the hy- drodynamics. Fluctuations in the liquid mass flow rate and the calculated pressure drop loss were found to be quali- tatively in agreement with the experimental observations. 展开更多
关键词 structured packing column two-phase flow computational fluid dynamics THREE-DIMENSION
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The Pinching Theorem of Global Umbilic Submanifolds in a Riemannian Manifold with Quasi Constant Curvature
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作者 WANG Lin-feng 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第3期342-350,共9页
We study the global umbilic submanifolds with parallel mean curvature vector fields in a Riemannian manifold with quasi constant curvature and get a local pinching theorem about the length of the second fundamental form.
关键词 constant curvature parallel mean curvature vector fields global umbilic points globally geodesic submanifolds
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Flood Risk Mitigation in the Tisza Valley by Deep Floodplain Reservoirs: The Effect on the Land Use
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作者 Zs6fia Derts Laiszlo Koncsos 《Journal of Environmental Science and Engineering(A)》 2012年第1期34-40,共7页
The actual situation of the Tisza Valley traditionally used for land farming is basically determined by the consequences of the river regulation of the nineteenth century which aimed at the extension of the intensive ... The actual situation of the Tisza Valley traditionally used for land farming is basically determined by the consequences of the river regulation of the nineteenth century which aimed at the extension of the intensive agriculture, by the extreme water regime of alternating periods of flood showing a deteriorating trend and drought related to the climatic change; and by several environmental problems induced mainly by the land use. The objective of the article is to prove the regional advantages of a proposed technical solution to mitigate the flood risk with a special regard to the land cover. Hydrodynamic modeling results prove that the best technical solution is given by a combination of different strategies containing the inundation of deep floodplains-areas regularly covered by water before the river regulation works and, globally, by an important mitigation of flood damages, the costs of solution would be surely covered in the longterm. By means of its natural-resembling operation, the regular water cover would allow a multiple use of water, contributing to the solution of the simultaneously existing aridity problem, and, the development of the floodplain landscape management would help improve the ecological and the economical upgrading of the region. 展开更多
关键词 ARIDITY deep floodplain flood control land use landscape management.
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耦合Schrdinger-BBM方程组所确定的整体流
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作者 郭柏灵 苗长兴 黄海洋 《中国科学(A辑)》 CSCD 1997年第10期865-872,共8页
研究耦合Schr(?)dinger-BBM方程组的Cauchy问题,此方程组近似地描述了一维Langmuir波与离子声波相互作用的非线性动力学行为.在适当的条件下,证明该问题在L^2×L^2和H^1×H^1空间中的整体存在性.
关键词 整流体 S-BBM方程 柯西问题
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Numerical simulation of fixed bed reactor for oxidative coupling of methane over monolithic catalyst 被引量:1
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作者 张照 郭紫琪 季生福 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第10期1627-1633,共7页
A three-dimensional geometric model was set up for the oxidative coupling of methane(OCM) fixed bed reactor loaded with Na_3PO_4-Mn/SiO_2/cordierite monolithic catalyst,and an improved Stansch kinetic model was establ... A three-dimensional geometric model was set up for the oxidative coupling of methane(OCM) fixed bed reactor loaded with Na_3PO_4-Mn/SiO_2/cordierite monolithic catalyst,and an improved Stansch kinetic model was established to calculate the OCM reactions using the computational fluid dynamics method and Fluent software.The simulation conditions were completely the same with the experimental conditions that the volume velocity of the reactant is 80 ml·min^(-1) under standard state,the CH_4/O_2 ratio is 3 and the temperature and pressure is800 ℃ and 1 atm,respectively.The contour of the characteristic parameters in the catalyst bed was analyzed,such as the species mass fractions,temperature,the heat flux on side wall surface,pressure,fluid density and velocity.The results showed that the calculated values matched well with the experimental values on the conversion of CH4 and the selectivity of products(C_2H_6,C_2H_4,CO,CO_2 and H_2) in the reactor outlet with an error range of±4%.The mass fractions of CH_4 and O_2 decreased from 0.600 and 0.400 at the catalyst bed inlet to 0.445 and0.120 at the outlet,where the mass fractions of C_2H_6,C_2H_4,CO and CO_2 were 0.0245,0.0460,0.0537 and 0.116,respectively.Due to the existence of laminar boundary layer,the mass fraction contours of each species bent upwards in the vicinity of the boundary layer.The volume of OCM reaction was changing with the proceeding of reaction,and the total moles of products were greater than reactants.The flow field in the catalyst bed maintained constant temperature and pressure.The fluid density decreased gradually from 2.28 kg·m^(-3) at the inlet of the catalyst bed to 2.18 kg·m^(-3) at the outlet of the catalyst bed,while the average velocity magnitude increased from 0.108 m·s-1 to 0.120 m·s^(-1). 展开更多
关键词 Numerical simulation Fixed bed reactor Computational fluid dynamics Oxidative coupling of methane Monolithic catalyst
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Influence of Adjusting Control Accuracy on Pressure Probe Measurements in Turbo Machines
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作者 Tobias W. Zimmermanna Oliver Curkovic +1 位作者 Manfred Wirsum Andrew Fowler 《Journal of Energy and Power Engineering》 2016年第9期522-533,共12页
This paper presents a new design of a probe adjusting device intended to position pressure and temperature probes in a flow field. 5-hole, 3-hole and temperature probes can be moved in radial direction and freely rota... This paper presents a new design of a probe adjusting device intended to position pressure and temperature probes in a flow field. 5-hole, 3-hole and temperature probes can be moved in radial direction and freely rotated about their axis. The high actuation accuracy of 3.9 ktm in radial direction and 0.09~ in angular position is validated in a 2-stage-turbine test rig which is installed at the Institute of Power Plant Technology, Steam and Gas Turbines, RWTH Aachen University. To meet the challenge to calculate the efficiency of a turbo machine which is mainly influenced by the temperature, all probe adjusting devices are positioned simultaneously and controlled by the MAS (measuring acquisition system) so that the same radial position in each stage is measured at the same time. For this purpose a new program has been developed to synchronize actuation and measurement. The slim design of 60 mm width allows measurement between the stages of turbo machines with small axial distances between vane and blade. In addition a CFD/FEA shows how the design and combination of materials compensate the thermal expansion of the engine during operation. This allows a minimal safety distance of 0.2 mm between rotor and probe to enable measurement as close to the physical boundary as possible. The actuation accuracy is demonstrated with pressure, temperature and angle distribution plots. It is also shown that the resolution of the measuring points, and therefore the actuation distances, has a large impact on the flow field analysis and should be set as high as possible. However the measuring time has to be taken into account. 展开更多
关键词 PROBE measurement ACCURACY
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Upgrading of a Heavy Ion 1MeV ISR RFQ Accelerator 被引量:1
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作者 张萌 陆元荣 +14 位作者 彭士香 朱昆 颜学庆 高淑丽 王智 郭之虞 赵捷 方家驯 李纬国 郭菊芳 袁忠喜 宋执中 于金祥 于茂林 陈佳洱 《Chinese Physics C》 SCIE CAS CSCD 北大核心 2008年第z1期262-264,共3页
This paper presents new beam test results for O^+ beam on a high current Integral Split Ring Radio Frequency Quadruple(ISR RFQ)accelerator.After the upgrading,a new designed 2.45GHz O^+ ECR Ion Source can provide a be... This paper presents new beam test results for O^+ beam on a high current Integral Split Ring Radio Frequency Quadruple(ISR RFQ)accelerator.After the upgrading,a new designed 2.45GHz O^+ ECR Ion Source can provide a beam with macro-puise peak current of 4mA at the injection point behind a 15ram diaphragm,whose O^+ factor is 60%—80% varied with gas flow rate and the normalized rms emittance is less than 0.15πmm·mrad.The accelerated O^+ beam current goes up to 2mA with the transmission of about 80% at 45kW RF power with duty factor 1/6(pulse duration of 1ms and repetition frequency of 166Hz).The upgraded RF power system includes low level RF pulse modulation amplifier,AGC,3W and 20W preamplifiers,1kW driver and 30kW final amplifier,which can output nearly 50kW in pulsed mode.The vacuum has been improved,too.The upgraded 1MeV ISR RFQ can be used as the beam injector of a new designed SFRFQ accelerating system,which is under the construction at Peking University. 展开更多
关键词 integral split ring RFQ UPGRADE RF power system
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Algebraic Stress Model with RNG ε-Equation for Simulating Confined Strongly Swirling Turbulent Flows 被引量:8
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作者 XuJiangrong YaoQiang 《Journal of Thermal Science》 SCIE EI CAS CSCD 2001年第1期14-19,共6页
Strongly swirl flow simulation are still under deve1oping. In this paper, ε equation based on the Renormalization. Group theory is used into algebraic stress model. Standard κ-ε model, algebraic stress model by Jia... Strongly swirl flow simulation are still under deve1oping. In this paper, ε equation based on the Renormalization. Group theory is used into algebraic stress model. Standard κ-ε model, algebraic stress model by Jiang Zhang[5]. and present model (RNG-ASM) are applied simultaneously to simulating the confined strongly swirling flow. The Simulating results by RNG-ASM model are compared to the results by other two model, it is shown that the predictions by this model display reasonable agreement with experimental data, and lead to gnater improvement than Zhang’s ASM turbulence model[5]. 展开更多
关键词 numerical simulating Renormalization Group theory swirling flow.
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Zacopride selectively activates the Kir2.1 channel via a PKA signaling pathway in rat cardiomyocytes 被引量:7
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作者 ZHANG Li LIU QingHua +7 位作者 LIU ChengFang ZHAI XuWen FENG QiLong XU RuiLing CUI XiangLi ZHAO ZhiQing CAO JiMin WU BoWei 《Science China(Life Sciences)》 SCIE CAS 2013年第9期788-796,共9页
We recently reported that zacopride is a selective inward rectifier potassium current (IK1 ) channel agonist, suppressing ventricular arrhythmias without affecting atrial arrhythmias. The present study aimed to invest... We recently reported that zacopride is a selective inward rectifier potassium current (IK1 ) channel agonist, suppressing ventricular arrhythmias without affecting atrial arrhythmias. The present study aimed to investigate the unique pharmacological properties of zacopride. The whole-cell patch-clamp technique was used to study IK1 currents in rat atrial myocytes and Kir2.x currents in human embryonic kidney (HEK)-293 cells transfected with inward rectifier potassium channel (Kir)2.1, Kir2.2, Kir2.3, or mutated Kir2.1 (at phosphorylation site S425L). Western immunoblots were performed to estimate the relative protein expression levels of Kir2.x in rat atria and ventricles. Results showed that zacopride did not affect the IK1 and transmembrane potential of atrial myocytes. In HEK293 cells, zacopride increased Kir2.1 homomeric channels by 40.7%±9.7% at 50 mV, but did not affect Kir2.2 and Kir2.3 homomeric channels, and Kir2.1-Kir2.2, Kir2.1-Kir2.3 and Kir2.2-Kir2.3 heteromeric channels. Western immunoblots showed that similar levels of Kir2.3 protein were expressed in rat atria and ventricles, but atrial Kir2.1 protein level was only 25% of that measured in the ventricle. In addition, 5-hydroxytryptamine (5-HT) 3 receptor was undetectable, whereas 5-HT 4 receptor was weakly expressed in HEK293 cells. The Kir2.1-activating effect of zacopride in these cells was abolished by inhibition of protein kinase A (PKA), but not PKC or PKG. Furthermore, zacopride did not activate the mutant Kir2.1 channel in HEK293 cells but selectively activated the Kir2.1 homomeric channel via a PKA-dependent pathway, independent to that of the 5-HT receptor. 展开更多
关键词 zacopride inward rectifier potassium channel 5-HT receptor protein kinase
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Effects of Mahuang(Herba Ephedra Sinica) and Wuweizi(Fructus Schisandrae Chinensis) medicated serum on chemotactic migration of alveolar macrophages and inters regions macrophages in rats 被引量:3
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作者 Yuan Yiping Zhai Huaqiang +7 位作者 Zhang Tian Guo Zhaojuan Kong Liting Jia Xiaoyu Wang Ningning Dai Ying Liu Guoxiu Wang Yanping 《Journal of Traditional Chinese Medicine》 SCIE CAS CSCD 2017年第5期607-615,共9页
OBJECTIVE: To observe the effects of serum containing Mahuang(Herba Ephedra Sinica) or Wuweizi(Fructus Schisandrae Chinensis) on the migration of alveolar macrophages(AM) and interstitial macrophages(IM) from normal r... OBJECTIVE: To observe the effects of serum containing Mahuang(Herba Ephedra Sinica) or Wuweizi(Fructus Schisandrae Chinensis) on the migration of alveolar macrophages(AM) and interstitial macrophages(IM) from normal rats, and to analyze and compare the mechanisms leading to cell migration differences.METHODS: Rats were randomly divided into three groups: Mahuang(Herba Ephedra Sinica), Wuweizi(Fructus Schisandrae Chinensis), and blank serum. After treatment with the herbs, serum was extracted from the rats. AM and IM were isolated from normal rats and cultured. The effects of Mahuang(Herba Ephedra Sinica) and Wuweizi(Fructus Schisandrae Chinensis) medicated serum on normal rat AM and IM chemotactic migration were determined by transwell assays. The CC chemokine receptor(CCR) 2, CCR5, voltage-gated Kvl. 3 K^+channel(Kv1. 3), and voltage-gated Kvl. 5 K^+channel(Kv1. 5) protein levels were analyzed by western blotting.RESULTS: The migration quantities of AM and IM in the Mahuang(Herba Ephedra Sinica) and Wuweizi(Fructus Schisandrae Chinensis) medicated serum groups were significantly higher than those in the blank serum group(P < 0.01). Compared with the Wuweizi(Fructus Schisandrae Chinensis) medicated serum group, the migration quantity of cultured rat AM in the Mahuang(Herba Ephedra Sinica) medicated serum group was significantly increased(P <0.01). Meanwhile, compared with the Mahuang(Herba Ephedra Sinica) medicated serum group, the migration quantity of cultured rat IM in the Wuweizi(Fructus Schisandrae Chinensis) medicated serum group was significantly increased(P < 0.01).CCR2, CCR5, Kv1. 3, and Kv1. 5 proteins were expressed on the AM cell surface, and showed significantly higher expression in the Mahuang(Herba Ephedra Sinica) medicated serum group compared with the Wuweizi(Fructus Schisandrae Chinensis)medicated serum group. In contrast, CCR5, Kv1.3,and Kv1.5 proteins were expressed on the IM cell surface, and showed significantly higher expression in the Wuweizi(Fructus Schisandrae Chinensis)medicated serum group compared with the Mahuang(Herba Ephedra Sinica) medicated serum group.CONCLUSION: Mahuang(Herba Ephedra Sinica)and Wuweizi(Fructus Schisandrae Chinensis) can promote AM and IM migration ability, with Mahuang(Herba Ephedra Sinica) targeting AM more apparently and Wuweizi(Fructus Schisandrae Chinensis) targeting IM more apparently. The mechanism may be that, by stimulating cells, Mahuang(Herba Ephedra Sinica) and Wuweizi(Fructus Schisandrae Chinensis) promote expression of CCR2 and CCR5 receptors on the AM and IM cell surface,which pass signals to Kvl.3 and Kvl.5 ion channels,leading to changes in the cytoskeleton, and ultimately promoting chemotactic cell migration. 展开更多
关键词 Ephedra sinica Schisandra Chinensis Macrophage Receptors CCR Delayed rectifier po tassium channel Chemotaxis
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GLOBAL DYNAMICS OF DISSIPATIVE GENERALIZED KORTEWEG-DE VRIES EQUATIONS
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作者 尤云程 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1996年第4期389-402,共14页
This work deals with the dissipative generalized Korteweg-de Vries (gKdV) equations of the formu t + u 2u x + u xxx-bu xx+ ru = f, t≥0, u(0,x) = u 0(x)∈V = H 2 2π,with periodic boundary conditions. It is proved tha... This work deals with the dissipative generalized Korteweg-de Vries (gKdV) equations of the formu t + u 2u x + u xxx-bu xx+ ru = f, t≥0, u(0,x) = u 0(x)∈V = H 2 2π,with periodic boundary conditions. It is proved that there exists an inertial manifold for the semiflow generated by this equation in space V. Since such a manifold is finite dimensional, positively invariant, and exponentially attracting of all the solution trajectories, the long-time dynamics of the dissipative gKdV equations are determined by a finite number of modes without the soliton phenomena. 展开更多
关键词 Dissipative generalized KdV equation Global dynamics Inertial manifold SOLITON
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Quasi-hydrostatic Primitive Equations for Ocean Global Circulation Models
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作者 Carine LUCAS Madalina PETCU Antoine ROUSSEAU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第6期939-952,共14页
Global existence of weak and strong solutions to the quasi-hydrostatic primitive equations is studied in this paper. This model, that derives from the full non-hydrostatic model for geophysical fluid dynamics in the z... Global existence of weak and strong solutions to the quasi-hydrostatic primitive equations is studied in this paper. This model, that derives from the full non-hydrostatic model for geophysical fluid dynamics in the zero-limit of the aspect ratio, is more realistic than the classical hydrostatic model, since the traditional approximation that consists in neglecting a part of the Coriolis force is relaxed. After justifying the derivation of the model, the authors provide a rigorous proof of global existence of weak solutions, and well-posedness for strong solutions in dimension three. 展开更多
关键词 Hydrostatic approximation Coriolis force Ocean global circulation models Primitive equations Traditional approximation
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