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NUMERICAL SIMULATION OF MORPHOLOGY OF POLYMER CHAIN COILS IN COMPLEX FLOWS 被引量:4
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作者 Hong Zheng Wei Yu Chi-xing Zhou 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2005年第5期453-462,共10页
A new coupled finite element formulation is proposed to calculate a conformation tensor model in two complex flows:a planar contraction flow and a planar flow around a symmetrically placed cylinder.The components of c... A new coupled finite element formulation is proposed to calculate a conformation tensor model in two complex flows:a planar contraction flow and a planar flow around a symmetrically placed cylinder.The components of conformation tensor are first computed together with the velocity and pressure to describe the change of morphology of polymer chain coils in flow fields.Macroscopic quantities of viscoelastic flow are then calculated based on the conformation tensor.Comparisons between the numerical simulations and experiments for stress patterns and velocity profiles are carried out to prove the validity of the method. 展开更多
关键词 Viscoelastic flow MORPHOLOGY complex flows Conformation tensor model Finite element method(FEM).
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Hybrid Methods for Computing the Streamfunction and Velocity Potential for Complex Flow Fields over Mesoscale Domains 被引量:2
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作者 Jie CAO Qin XU +1 位作者 Haishan CHEN Shuping MA 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2022年第9期1417-1431,共15页
Three types of previously used numerical methods are revisited for computing the streamfunctionψand velocity potentialχfrom the horizontal velocity v in limited domains.The first type,called the SOR-based method,use... Three types of previously used numerical methods are revisited for computing the streamfunctionψand velocity potentialχfrom the horizontal velocity v in limited domains.The first type,called the SOR-based method,uses a classical successive over-relaxation(SOR)scheme to computeψ(orχ)first with an arbitrary boundary condition(BC)and thenχ(orψ)with the BC derived from v.The second type,called the spectral method,uses spectral formulations to construct the inner part of(ψ,χ)-the inversion of(vorticity,divergence)with a homogeneous BC,and then the remaining harmonic part of(ψ,χ)with BCs from v.The third type,called the integral method,uses integral formulas to compute the internally induced(ψ,χ)-the inversion of domain-internal(vorticity,divergence)using the free-space Greenꞌs function without BCs and then the remaining harmonicψ(orχ)with BCs from v minus the internally-induced part.Although these methods have previously been successfully applied to flows in large-scale and synoptic-scale domains,their accuracy is compromised when applied to complex flows over mesoscale domains,as shown in this paper.To resolve this problem,two hybrid approaches,the integral-SOR method and the integral-spectral method,are developed by combining the first step of the integral method with the second step adopted from the SOR-based and spectral methods,respectively.Upon testing these methods on real-case complex flows,the integral-SOR method is significantly more accurate than the integral-spectral method,noting that the latter is still generally more accurate than the three previously-used methods.The integral-SOR method is recommended for future applications and diagnostic studies of complex flows. 展开更多
关键词 streamfunction and velocity potential complex flow fields successive over-relaxation method mesoscale study
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Experimental Study of Sediment Incipience Under Complex Flows 被引量:1
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作者 LIU Chunrong DENG Liying +1 位作者 HUANG Zhenhua HUHE Aode 《Transactions of Tianjin University》 EI CAS 2008年第4期300-306,共7页
Sediment incipience under flows passing a backward-facing step was studied. A series of experiments were conducted to measure scouring depth, probability of sediment incipience, and instantaneous flow velocity field d... Sediment incipience under flows passing a backward-facing step was studied. A series of experiments were conducted to measure scouring depth, probability of sediment incipience, and instantaneous flow velocity field downstream of a backward-facing step. Instantaneous flow velocity fields were measured by using Particle Image Velocimetry (PIV), and an image processing method for determining probability of sediment incipience was employed to analyze the experimental data. The experimental results showed that the probability of sediment incipience was the highest near the reattachment point, even though the near-wall instantaneous flow velocity and the Reynolds stress were both much higher further downstream of the backward-facing step. The possible me- chanisms are discussed for the sediment incipience near the reattachment point. 展开更多
关键词 sediment transport local scour complex flows particle image velocimetry sediment incipience
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A hybrid multidimensional Riemann solver to couple self-similar method with MULTV method for complex flows
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作者 Feng QU Di SUN +1 位作者 Junjie FU Junqiang BAI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2021年第7期29-38,共10页
Since proposed,the self-similarity variables based genuinely multidimensional Riemann solver is attracting more attentions due to its high resolution in multidimensional complex flows.However,it needs numerous logical... Since proposed,the self-similarity variables based genuinely multidimensional Riemann solver is attracting more attentions due to its high resolution in multidimensional complex flows.However,it needs numerous logical operations in supersonic cases,which limit the method’s applicability in engineering problems greatly.In order to overcome this defect,a hybrid multidimensional Riemann solver,called HMTHS(Hybrid of MulTv and multidimensional HLL scheme based on Self-similar structures),is proposed.It simulates the strongly interacting zone by adopting the MHLLES(Multidimensional Harten-Lax-van Leer-Eifeldt scheme based on Self-similar structures)scheme at subsonic speeds,which is with a high resolution by considering the second moment in the similarity variables.Also,it adopts the MULTV(Multidimensional Toro and Vasquez)scheme,which is with a high resolution in capturing discontinuities,to simulate the flux at supersonic speeds.Systematic numerical experiments,including both one-dimensional cases and twodimensional cases,are conducted.One-dimensional moving contact discontinuity case and sod shock tube case suggest that HMTHS can accurately capture one-dimensional expansion waves,shock waves,and linear contact discontinuities.Two-dimensional cases,such as the double Mach reflection case,the supersonic shock/boundary layer interaction case,the hypersonic flow over the cylinder case,and the hypersonic viscous flow over the double-ellipsoid case,indicate that the HMTHS scheme is with a high resolution in simulating multidimensional complex flows.Therefore,it is promising to be widely applied in both scholar and engineering areas. 展开更多
关键词 complex flows Computational fluid dynamics MULTIDIMENSIONAL Riemann solver SELF-SIMILAR
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Lattice Boltzmann Simulation for Complex Flow in a Solar Wall
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作者 陈柔 邵九姑 +2 位作者 郑友取 俞慧丹 许友生 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第3期370-374,共5页
In this letter,we present a lattice Boltzmann simulation for complex flow in a solar wall system which includes porous media flow and heat transfer,specifically for solar energy utilization through an unglazed transpi... In this letter,we present a lattice Boltzmann simulation for complex flow in a solar wall system which includes porous media flow and heat transfer,specifically for solar energy utilization through an unglazed transpired solar air collector(UTC).Besides the lattice Boltzmann equation(LBE) for time evolution of particle distribution function for fluid field,we introduce an analogy,LBE for time evolution of distribution function for temperature.Both temperature fields of fluid(air) and solid(porous media) are modeled.We study the effects of fan velocity,solar radiation intensity,porosity,etc.on the thermal performance of the UTC.In general,our simulation results are in good agreement with what in literature.With the current system setting,both fan velocity and solar radiation intensity have significant effect on the thermal performance of the UTC.However,it is shown that the porosity has negligible effect on the heat collector indicating the current system setting might not be realistic.Further examinations of thermal performance in different UTC systems are ongoing.The results are expected to present in near future. 展开更多
关键词 solar wall system complex flow lattice Boltmann similation
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Particle methods for multi- scale simulation of complex flows 被引量:7
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作者 GEWei MAJingsen ZHANGJiayuan TANGDexiang CHENFeiguo WANGXiaowei GUOLi LIJinghai 《Chinese Science Bulletin》 SCIE EI CAS 2005年第11期1057-1069,共13页
The multi-scale structures of complex flows have been great challenges to both theoretical and engineer-ing researches, and multi-scale modeling is the natural way in response. Particle methods (PMs) are ideal constit... The multi-scale structures of complex flows have been great challenges to both theoretical and engineer-ing researches, and multi-scale modeling is the natural way in response. Particle methods (PMs) are ideal constitutors and powerful probes of multi-scale models, owing to their physical insight and computational simplicity. In this paper, the role of different PMs for multi-scale modeling of complex flows is critically reviewed and possible development of PMs in this background is prospected, with the emphasis on pseudo-particle modeling (PPM). The performances of some different PMs are compared in simulations and new devel-opment in the fundamentals and applications of PPM is also reported, demonstrating PPM as a unique PM for multi-scale modeling. 展开更多
关键词 复合流程 粒子法 动力学仿真 刻度模型 传输过程
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Advances in LES of Two-phase Combustion(Ⅱ) LES of Complex Gas-Particle Flows and Coal Combustion 被引量:1
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作者 周力行 胡瓅元 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第4期609-616,共8页
Large-eddy simulation(LES) is under its rapid development and is recognized as a possible second generation of CFD methods used in engineering.Large-eddy simulation of two-phase flows and combustion is particularly im... Large-eddy simulation(LES) is under its rapid development and is recognized as a possible second generation of CFD methods used in engineering.Large-eddy simulation of two-phase flows and combustion is particularly important for engineering applications.Some investigators,including the present authors,give their review on LES of spray combustion in gas-turbine combustors and internal combustion engines.However,up to now only a few papers are related to the state-of-the-art on LES of gas-particle flows and combustion.In this paper a review of the advances in LES of complex gas-particle flows and coal combustion is presented.Different sub-grid scale(SGS) stress models and combustion models are described,some of the main results are summarized,and some research needs are discussed. 展开更多
关键词 large-eddy simulation complex gas-particle flows coal combustion
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Application Progress of Computational Fluid Dynamic Techniques for Complex Viscous Flows in Ship and Ocean Engineering 被引量:5
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作者 Jianhua Wang Decheng Wan 《Journal of Marine Science and Application》 CSCD 2020年第1期1-16,共16页
Complex flow around floating structures is a highly nonlinear problem,and it is a typical feature in ship and ocean engineering.Traditional experimental methods and potential flow theory have limitations in predicting... Complex flow around floating structures is a highly nonlinear problem,and it is a typical feature in ship and ocean engineering.Traditional experimental methods and potential flow theory have limitations in predicting complex viscous flows.With the improvement of high-performance computing and the development of numerical techniques,computational fluid dynamics(CFD)has become increasingly powerful in predicting the complex viscous flow around floating structures.This paper reviews the recent progress in CFD techniques for numerical solutions of typical complex viscous flows in ship and ocean engineering.Applications to free-surface flows,breaking bow waves of high-speed ship,ship hull-propeller-rudder interaction,vortexinduced vibration of risers,vortex-induced motions of deep-draft platforms,and floating offshore wind turbines are discussed.Typical techniques,including volume of fluid for sharp interface,dynamic overset grid,detached eddy simulation,and fluid-structure coupling,are reviewed along with their applications.Some novel techniques,such as high-efficiency Cartesian grid method and GPU acceleration technique,are discussed in the last part as the future perspective for further enhancement of accuracy and efficiency for CFD simulations of complex flow in ship and ocean engineering. 展开更多
关键词 complex ship and ocean engineering flows Free-surface flows Overset grid method Fluid–structure interaction naoe-FOAM-SJTU solver
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Complex network analysis in inclined oil-water two-phase flow 被引量:2
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作者 高忠科 金宁德 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第12期5249-5258,共10页
Complex networks have established themselves in recent years as being particularly suitable and flexible for representing and modelling many complex natural and artificial systems. Oil-water two-phase flow is one of t... Complex networks have established themselves in recent years as being particularly suitable and flexible for representing and modelling many complex natural and artificial systems. Oil-water two-phase flow is one of the most complex systems. In this paper, we use complex networks to study the inclined oil water two-phase flow. Two different complex network construction methods are proposed to build two types of networks, i.e. the flow pattern complex network (FPCN) and fluid dynamic complex network (FDCN). Through detecting the community structure of FPCN by the community-detection algorithm based on K-means clustering, useful and interesting results are found which can be used for identifying three inclined oil-water flow patterns. To investigate the dynamic characteristics of the inclined oil-water two-phase flow, we construct 48 FDCNs under different flow conditions, and find that the power-law exponent and the network information entropy, which are sensitive to the flow pattern transition, can both characterize the nonlinear dynamics of the inclined oil-water two-phase flow. In this paper, from a new perspective, we not only introduce a complex network theory into the study of the oil-water two-phase flow but also indicate that the complex network may be a powerful tool for exploring nonlinear time series in practice. 展开更多
关键词 two-phase flow complex networks community structure nonlinear dynamics
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Simulation of incompressible multiphase flows with complex geometry using etching multiblock method 被引量:1
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作者 Haoran LIU Kai MU Hang DING 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第11期1405-1418,共14页
The incompressible two-phase flows are simulated using combination of an etching multiblock method and a diffuse interface (DI) model, particularly in the com- plex domain that can be decomposed into multiple rectan... The incompressible two-phase flows are simulated using combination of an etching multiblock method and a diffuse interface (DI) model, particularly in the com- plex domain that can be decomposed into multiple rectangular subdomains. The etching multiblock method allows natural communications between the connected subdomains and the efficient parallel computation. The DI model can consider two-phase flows with a large density ratio, and simulate the flows with the moving contact line (MCL) when a geometric formulation of the MCL model is included. Therefore, combination of the etch- ing method and the DI model has potential to deal with a variety of two-phase flows in industrial applications. The performance is examined through a series of numerical exper- iments. The convergence of the etching method is firstly tested by simulating single-phase flows past a square cylinder, and the method for the multiphase flow simulation is vali- dated by investing drops dripping from a pore. The numerical results are compared with either those from other researchers or experimental data. Good agreement is achieved. The method is also used to investigate the impact of a droplet on a grooved substrate and droplet generation in flow focusing devices. 展开更多
关键词 etching multiblock method complex geometry multiphase flow movingcontact line (MCL) MULTIBLOCK
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A flexible multiscale algorithm based on an improved smoothed particle hydrodynamics method for complex viscoelastic flows
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作者 Jinlian REN Peirong LU +2 位作者 Tao JIANG Jianfeng LIU Weigang LU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2024年第8期1387-1402,共16页
Viscoelastic flows play an important role in numerous engineering fields,and the multiscale algorithms for simulating viscoelastic flows have received significant attention in order to deepen our understanding of the ... Viscoelastic flows play an important role in numerous engineering fields,and the multiscale algorithms for simulating viscoelastic flows have received significant attention in order to deepen our understanding of the nonlinear dynamic behaviors of viscoelastic fluids.However,traditional grid-based multiscale methods are confined to simple viscoelastic flows with short relaxation time,and there is a lack of uniform multiscale scheme available for coupling different solvers in the simulations of viscoelastic fluids.In this paper,a universal multiscale method coupling an improved smoothed particle hydrodynamics(SPH)and multiscale universal interface(MUI)library is presented for viscoelastic flows.The proposed multiscale method builds on an improved SPH method and leverages the MUI library to facilitate the exchange of information among different solvers in the overlapping domain.We test the capability and flexibility of the presented multiscale method to deal with complex viscoelastic flows by solving different multiscale problems of viscoelastic flows.In the first example,the simulation of a viscoelastic Poiseuille flow is carried out by two coupled improved SPH methods with different spatial resolutions.The effects of exchanging different physical quantities on the numerical results in both the upper and lower domains are also investigated as well as the absolute errors in the overlapping domain.In the second example,the complex Wannier flow with different Weissenberg numbers is further simulated by two improved SPH methods and coupling the improved SPH method and the dissipative particle dynamics(DPD)method.The numerical results show that the physical quantities for viscoelastic flows obtained by the presented multiscale method are in consistence with those obtained by a single solver in the overlapping domain.Moreover,transferring different physical quantities has an important effect on the numerical results. 展开更多
关键词 multiscale method improved smoothed particle hydrodynamics(SPH) dissipative particle dynamics(DPD) multiscale universal interface(MUI) complex viscoelastic flow
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AN EXPLORATION TO THE MODELLING OF TWO-DIMENSIONAL COMPLEX TURBULENT SHEAR FLOWS
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《Chinese Journal of Aeronautics》 SCIE EI CAS 1988年第2期79-86,共8页
The regions with shear stress and mean velocity gradient of opposite sign often exist in complex turbulent shear flows.In these cases,the eddy viscosity hypothesis breaks down.Hinze regards the,departure from eddy vis... The regions with shear stress and mean velocity gradient of opposite sign often exist in complex turbulent shear flows.In these cases,the eddy viscosity hypothesis breaks down.Hinze regards the,departure from eddy viscosity hypothesis as a result from transportation of mean momentum over distance by the large structures and arrives at a shear stress expression including the second order derivatives of the mean velocity.However,his expression greatly overestimates the shear stress.This implies that the flow particles are unlikely to have enough memory of the mean momentum over distance.By assuming the departure from eddy viscosity hypothesis as a result from transportation of the shear stress contained in smaller eddies over distance by the large structures,the present author has arrived at a new shear stress expression.The shear stress estimated so far is in good agreement with the experiments. 展开更多
关键词 AN EXPLORATION TO THE MODELLING OF TWO-DIMENSIONAL complex TURBULENT SHEAR flowS
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Packing induced bistable phenomenon in granular flow:analysis from complex network perspective
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作者 胡茂彬 刘启一 +2 位作者 孙王平 姜锐 吴清松 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第12期1565-1572,共8页
The effects of packing configurations on the phase transition of straight granular chute flow with two bottlenecks axe studied. The granular flow shows a dilute- to-dense flow transition when the channel width is vari... The effects of packing configurations on the phase transition of straight granular chute flow with two bottlenecks axe studied. The granular flow shows a dilute- to-dense flow transition when the channel width is varied, accompanied with a peculiar bistable phenomenon. The bistable phenomenon is induced by the initial packing config- uration of particles. When the packing is dense, the initial flux is small and will induce a dense flow. When the packing is loose, the initial flux is large and will induce a di- lute flow. The fabric network of granulax packing is analyzed from a complex network perspective. The degree distribution shows quantitatively different characteristics for the configurations. A two-dimensional (2D) packing clustering coefficient is defined to better quantify the fabric network. 展开更多
关键词 granular flow complex network phase transition bistable phenomenon
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Lattice Boltzmann simulation of fluid flows in two-dimensional channel with complex geometries
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作者 闻炳海 刘海燕 +1 位作者 张超英 王强 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第10期4353-4359,共7页
Boundary conditions (BCs) play an essential role in lattice Boltzmann (LB) simulations. This paper investigates several most commonly applied BCs by evaluating the relative L2-norm errors of the LB simulations for... Boundary conditions (BCs) play an essential role in lattice Boltzmann (LB) simulations. This paper investigates several most commonly applied BCs by evaluating the relative L2-norm errors of the LB simulations for two-dimensional (2-D) Poiseuille flow. It is found that the relative L2-norm error resulting from FHML's BC is smaller than that from other BCs as a whole. Then, based on the FHML's BC, it formulates an LB model for simulating fluid flows in 2-D channel with complex geometries. Afterwards, the flows between two inclined plates, in a pulmonary blood vessel and in a blood vessel with local expansion region, are simulated. The numerical results are in good agreement with the analytical predictions and clearly show that the model is effective. It is expected that the model can be extended to simulate some real biologic flows, such as blood flows in arteries, vessels with stenosises, aneurysms and bifurcations, 展开更多
关键词 lattice Boltzmann method complex boundary fluid flow numerical simulation
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Centrality measure of complex networks based on resource flow
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作者 陈国强 王宇平 刘盛华 《Journal of Beijing Institute of Technology》 EI CAS 2013年第3期400-409,共10页
A new centrality measure for complex networks, called resource flow centrality, is pro- posed in this paper. This centrality measure is based on the concept of the resource flow in net- works. It not only can be appli... A new centrality measure for complex networks, called resource flow centrality, is pro- posed in this paper. This centrality measure is based on the concept of the resource flow in net- works. It not only can be applied to the connected networks, but also the disconnected networks. Moreover, it overcomes some disadvantages of several common centrality measures. The perform- ance of the proposed measure is compared with some standard centrality measures using a classic dataset and the results indicate the proposed measure performs more reasonably. The statistical dis- tribution of the proposed centrality is investigated by experiments on large scale computer generated graphs and two networks from the real world. 展开更多
关键词 centrality measures resource flow centrality complex networks
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Multi-scale complexity entropy causality plane: An intrinsic measure for indicating two-phase flow structures
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作者 窦富祥 金宁德 +2 位作者 樊春玲 高忠科 孙斌 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第12期85-96,共12页
We extend the complexity entropy causality plane(CECP) to propose a multi-scale complexity entropy causality plane(MS-CECP) and further use the proposed method to discriminate the deterministic characteristics of ... We extend the complexity entropy causality plane(CECP) to propose a multi-scale complexity entropy causality plane(MS-CECP) and further use the proposed method to discriminate the deterministic characteristics of different oil-in-water flows. We first take several typical time series for example to investigate the characteristic of the MS-CECP and find that the MS-CECP not only describes the continuous loss of dynamical structure with the increase of scale, but also reflects the determinacy of the system. Then we calculate the MS-CECP for the conductance fluctuating signals measured from oil–water two-phase flow loop test facility. The results indicate that the MS-CECP could be an intrinsic measure for indicating oil-in-water two-phase flow structures. 展开更多
关键词 oil–water two-phase flow fluid dynamics complexity entropy MULTI-SCALE
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复杂变化水力环境下的草鱼稳定偏好水流速度
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作者 石小涛 包春鹏 +8 位作者 王妍 徐勖 苏歆懿 吴帅 宋年雄 陈小龙 孙钧键 王远铭 李敏讷 《水产学报》 北大核心 2026年第1期131-141,共11页
【目的】为探究草鱼在复杂变化水力环境下是否存在稳定的自主偏好水流速度范围。【方法】以长江流域重要经济鱼类草鱼(全长20.5~25.5 cm)为对象,在开放自循环变频水槽中设置3种沿水流方向等宽平行分布的流速范围,并设置包含3种不同流速... 【目的】为探究草鱼在复杂变化水力环境下是否存在稳定的自主偏好水流速度范围。【方法】以长江流域重要经济鱼类草鱼(全长20.5~25.5 cm)为对象,在开放自循环变频水槽中设置3种沿水流方向等宽平行分布的流速范围,并设置包含3种不同流速(低、中、高)的所有组合工况,分别为工况Ⅰ(高-低-中工况,0.65-0.32-0.47 m/s)、工况Ⅱ(低-高-中工况,0.27-0.78-0.48 m/s)与工况Ⅲ(低-中-高工况,0.23-0.43-0.91 m/s),对比分析草鱼在3种复杂变化水力环境工况下的自主上溯行为,通过将背景流场与鱼类运动轨迹相耦合,结合两者概率密度函数布尔运算量化草鱼偏好流速范围。【结果】①草鱼在3种复杂变化水力环境中的停留时间随流速减小而延长,偏好选择低、中流速区而避开高流速区;②3种工况下,草鱼均偏好停留在靠近水槽边壁的低、中流速区域,偏好流速范围分别为工况Ⅰ:0.40~0.45 m/s与0.60~0.67 m/s、工况Ⅱ:0.41~0.50 m/s与工况Ⅲ:0.18~0.31 m/s;③背景流速概率密度分布相似时(如工况Ⅰ与工况Ⅱ),草鱼存在稳定的偏好流速范围,为0.41~0.45 m/s,当背景流速概率密度分布不同时(如工况Ⅲ与工况Ⅰ、Ⅱ),草鱼的偏好流速不同,其偏好背景流速中概率密度分布较高且流速较低的区域。【结论】草鱼均偏好3种工况下的低、中流速区,且在复杂变化水力环境中草鱼存在稳定偏好水流速度。本研究结果可为塑造符合鱼类生态习性的鱼道水力环境及鱼类栖息地生境修复方案提供科学参考。 展开更多
关键词 草鱼 复杂变化流场 偏好流速 游泳行为 鱼类保护
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Some Complexity Results for the k-Splittable Flow Minimizing Congestion Problem
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作者 Chengwen Jiao Qi Feng Weichun Bu 《Communications and Network》 2018年第1期1-10,共10页
In this paper, we mainly consider the complexity of the k-splittable flow minimizing congestion problem. We give some complexity results. For the k-splittable flow problem, the existence of a feasible solution is stro... In this paper, we mainly consider the complexity of the k-splittable flow minimizing congestion problem. We give some complexity results. For the k-splittable flow problem, the existence of a feasible solution is strongly NP-hard. When the number of the source nodes is an input, for the uniformly exactly k-splittable flow problem, obtaining an approximation algorithm with performance ratio better than (√5+1)/2 is NP-hard. When k is an input, for single commodity k-splittable flow problem, obtaining an algorithm with performance ratio better than is NP-hard. In the last of the paper, we study the relationship of minimizing congestion and minimizing number of rounds in the k-splittable flow problem. The smaller the congestion is, the smaller the number of rounds. 展开更多
关键词 k-Splittable flow Minimize CONGESTION Minimize NUMBER of Rounds complexITY
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Tubridge血流导向装置联合弹簧圈栓塞治疗复杂颅内分叉部动脉瘤的临床疗效
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作者 张鹏 徐晨阳 +2 位作者 刘志军 耿亚东 刘红林 《中西医结合心脑血管病杂志》 2026年第6期943-946,共4页
目的:观察Tubridge血流导向装置(TFD)联合弹簧圈栓塞治疗复杂分叉部颅内动脉瘤(IA)的疗效。方法:纳入2021年1月—2024年10月于河南大学淮河医院行介入治疗的70例未破裂复杂分叉部IA病人,采用随机数字表法分为TFD组(TFD治疗)和联合组(TFD... 目的:观察Tubridge血流导向装置(TFD)联合弹簧圈栓塞治疗复杂分叉部颅内动脉瘤(IA)的疗效。方法:纳入2021年1月—2024年10月于河南大学淮河医院行介入治疗的70例未破裂复杂分叉部IA病人,采用随机数字表法分为TFD组(TFD治疗)和联合组(TFD+弹簧圈栓塞治疗),各35例。比较两组手术情况、临床疗效、美国国立卫生研究院卒中量表(NIHSS)评分、生活质量量表(SF-36)评分、血清指标[血管内皮生长因子(VEGF)和白细胞介素-6(IL-6)]和安全性指标。结果:联合组手术用时长于TFD组,差异有统计学意义(P<0.05)。联合组临床疗效高于TFD组,差异有统计学意义(P<0.05)。术后,两组NIHSS评分和VEGF、IL-6水平降低,SF-36评分升高;与TFD组比较,联合组NIHSS评分和VEGF、IL-6水平降低,SF-36评分升高,差异均有统计学意义(P<0.05)。两组并发症发生率和IA复发率比较,差异均无统计学意义(P>0.05)。结论:TFD联合弹簧圈栓塞治疗可提高对复杂分叉部IA的疗效,显著改善病人的神经功能和生活质量,促进血管内皮修复,降低炎症程度,安全性良好,但手术用时较长。 展开更多
关键词 复杂颅内分叉部动脉瘤 Tubridge血流导向装置 弹簧圈栓塞 血管内介入治疗
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结构对固体火箭发动机可视化喷管两相流动的影响
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作者 李想 李军伟 +3 位作者 李强 韦彭威 陈晨 付青山 《航空学报》 北大核心 2026年第3期164-181,共18页
为了了解固体火箭发动机喷管内两相流场的速度分布,设计了一种二维平面可视化喷管,建立了针对喷管流场的速度在线测试系统,采用含氧化铝颗粒的低燃温固体推进剂,进行发动机点火实验,通过粒子图像测速(PIV)技术,获得了喷管扩张段内部分... 为了了解固体火箭发动机喷管内两相流场的速度分布,设计了一种二维平面可视化喷管,建立了针对喷管流场的速度在线测试系统,采用含氧化铝颗粒的低燃温固体推进剂,进行发动机点火实验,通过粒子图像测速(PIV)技术,获得了喷管扩张段内部分区域的流场速度,并采用数值仿真方法,研究了可视化喷管侧面盖板的截断长度、喷管形状对两相流场的影响。研究结果表明:实验测得的喷管内流场最高轴向速度达到了1850 m/s,流场内混合有碳烟团和氧化铝颗粒,随着碳烟团的浓度沿纵向加重,流场区域的图像灰度由明转暗;减小可视化喷管侧面盖板的截断长度,使截断初始位置远离喷管喉部,颗粒在扩张段的扩散角由24.3°减小至21.5°,颗粒轨迹更向直边壁面集中;形状会对颗粒在拉瓦尔喷管中的流动造成影响,在半边方形喷管的收敛段及喉部位置处,受直边壁面的约束,颗粒会与壁面发生反复碰撞,形成暂时“滞留”在喉部区域的现象,将喷管形状由半边方形改为全尺寸方形后,颗粒较燃气速度的最大滞后值减小了46.9%。 展开更多
关键词 固体火箭发动机 拉瓦尔喷管 气-固两相流 PIV技术 高速复杂流场
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