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数学学习心理的CPFS结构理论及其教学实施问题探讨(续)
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作者 喻平 何雨芳 王鹏 《中学数学教学参考》 2026年第4期7-10,共4页
访谈喻平教授,系统探讨数学学习心理的CPFS结构理论及教学实施。CPFS结构含概念域、概念系、命题域、命题系,是基于认知心理学、结合数学特性的特殊认知子结构,能促进知识理解、优化贮存提取及融合知识与方法。对比可知,有良好CPFS结构... 访谈喻平教授,系统探讨数学学习心理的CPFS结构理论及教学实施。CPFS结构含概念域、概念系、命题域、命题系,是基于认知心理学、结合数学特性的特殊认知子结构,能促进知识理解、优化贮存提取及融合知识与方法。对比可知,有良好CPFS结构的学生知识表征呈逻辑网络,解题时可灵活调用资源,机械记忆则易让学生思维定式。给出CPFS结构质量诊断方法,以及概念、命题教学和高三复习的CPFS培养策略,提出解决相关矛盾突破路径,指出其与数学核心素养的关联及未来研究方向,为数学教学提供指导。 展开更多
关键词 cpfS结构理论 数学学习心理 概念域 命题域 教学实施 数学核心素养
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数学学习心理的CPFS结构理论及其教学实施问题探讨
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作者 喻平 何雨芳 王鹏 《中学数学教学参考》 2026年第1期7-10,共4页
访谈喻平教授,系统探讨数学学习心理的CPFS结构理论及教学实施。CPFS结构含概念域、概念系、命题域、命题系,是基于认知心理学、结合数学特性的特殊认知子结构,能促进知识理解、优化贮存提取及融合知识与方法。对比可知,有良好CPFS结构... 访谈喻平教授,系统探讨数学学习心理的CPFS结构理论及教学实施。CPFS结构含概念域、概念系、命题域、命题系,是基于认知心理学、结合数学特性的特殊认知子结构,能促进知识理解、优化贮存提取及融合知识与方法。对比可知,有良好CPFS结构的学生知识表征呈逻辑网络,解题时可灵活调用资源,机械记忆则易让学生思维定式。给出CPFS结构质量诊断方法,以及概念、命题教学和高三复习的CPFS培养策略,提出解决相关矛盾突破路径,指出其与数学核心素养的关联及未来研究方向,为数学教学提供指导。 展开更多
关键词 cpfS结构理论 数学学习心理 概念域 命题域 教学实施 数学核心素养
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辅助进气对水平直管内气固流动及节能特性的CPFD数值模拟
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作者 马晓洋 张立栋 +3 位作者 苏健明 徐新宇 梁济鹏 宋长鹏 《化工进展》 北大核心 2026年第2期733-742,共10页
为降低气力输送能耗,本文通过在输送管道侧壁增添辅助进气形成旋流气力输送,并采用计算颗粒流体力学(computational particle flow dynamics,CPFD)方法进行数值模拟。针对辅助进气的3个结构参数(进气速度、倾斜角度、相邻辅助进气距离)... 为降低气力输送能耗,本文通过在输送管道侧壁增添辅助进气形成旋流气力输送,并采用计算颗粒流体力学(computational particle flow dynamics,CPFD)方法进行数值模拟。针对辅助进气的3个结构参数(进气速度、倾斜角度、相邻辅助进气距离)和目标值(功率消耗系数)进行单因素爬坡实验。采用响应面法设计多组中心实验,对3个结构参数进行多目标优化。结果表明,当主进气速度为13m/s时,添加进气速度为8m/s、进气角度为45°、相邻辅助进气距离为1250mm的辅助进气,可有效降低水平管道压降。将此工况与主进气速度为13m/s、15m/s、17m/s且不加辅助进气的工况进行比较,发现功率消耗系数分别降低了10.59%、35.36%、34.81%。 展开更多
关键词 气力输送 气固两相流 旋流 压降 计算颗粒流动力学
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CPFS结构理论视角下初中数学概念教学策略探究
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作者 何颖萍 《数学学习与研究》 2026年第10期138-141,共4页
CPFS结构理论作为数学学科特有的认知框架,通过强化概念域与命题系的关联性,为解决数学概念教学中的知识碎片化问题提供了新视角.基于CPFS结构的教学策略能有效促进学生概念体系的完整建构,增强知识迁移能力,为教学质量的提升提供理论... CPFS结构理论作为数学学科特有的认知框架,通过强化概念域与命题系的关联性,为解决数学概念教学中的知识碎片化问题提供了新视角.基于CPFS结构的教学策略能有效促进学生概念体系的完整建构,增强知识迁移能力,为教学质量的提升提供理论支持与实践参考.文章基于该理论的核心特征,结合初中数学概念教学的实践,从明确概念内涵外延、构建逻辑网络、强化应用迁移等方面展开探索,通过梳理理论内涵与教学策略的对应关系,提出注重概念生成过程、搭建分层认知路径、贯通知识脉络等实施路径. 展开更多
关键词 cpfS结构理论 初中数学 概念教学
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Non-Newtonian rivulet flows on an inclined planar surface applying the 2nd Stokes problem
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作者 S.V.ERSHKOV E.S.BARANOVSKII A.V.YUDIN 《Applied Mathematics and Mechanics(English Edition)》 2026年第1期153-164,共12页
The newly formulated non-Newtonian rivulet flows streaming down an inclined planar surface,with additional periodic perturbations arising from the application of the 2nd Stokes problem to the investigation of rivulet ... The newly formulated non-Newtonian rivulet flows streaming down an inclined planar surface,with additional periodic perturbations arising from the application of the 2nd Stokes problem to the investigation of rivulet dynamics,are demonstrated in the current research.Hereby,the 2nd Stokes problem assumes that the surface,with a thin shared layer of the fluid on it,oscillates in a harmonic manner along the x-axis of the rivulet flow,which coincides with the main flow direction streaming down the underlying surface.We obtain the exact extension of the rivulet flow family,clarifying the structure of the pressure field,which fully absorbs the arising perturbation.The profile of the velocity field is assumed to be Gaussian-type with a non-zero level of plasticity.Hence,the absolutely non-Newtonian case of the viscoplastic flow solution,which satisfies the motion and continuity equations,is considered(with particular cases of exact solutions for pressure).The perturbed governing equations of motion for rivulet flows then result in the Riccati-type ordinary differential equation(ODE),describing the dynamics of the coordinate x(t).The approximated schematic dynamics are presented in graphical plots. 展开更多
关键词 rivulet flow non-Newtonian fluid creeping viscoplastic flow 1st/2nd Stokes problem
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Editorial:Computational simulations of particle-/drop-laden flows
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作者 Xiang Yang S.Balachandar +1 位作者 Robert Kunz Zixuan Yang 《Acta Mechanica Sinica》 2026年第1期1-2,共2页
Particle-and droplet-laden flows are central to many problems in mechanics and transport.They occur in sedimentladen boundary layers,gas-solid and gas-liquid dispersions,and surface-water films driven by external forc... Particle-and droplet-laden flows are central to many problems in mechanics and transport.They occur in sedimentladen boundary layers,gas-solid and gas-liquid dispersions,and surface-water films driven by external forcing.They also underpin practical applications ranging from environmental transport to high-speed and aerothermal systems.Despite decades of progress,prediction remains difficult.The physics spans a wide range of scales and often couples turbulence,interphase momentum exchange,collisions,and interfacial transport.Reliable computation therefore requires both robust numerical methodology and careful physical interpretation. 展开更多
关键词 COLLISIONS particle laden flows interphase momentum exchange sedimentladen boundary layersgas solid practical applications environmental transport turbulence drop laden flows
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CPF计划赋能企业“绿色出海”
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作者 张丽 杨昀 《质量与认证》 2026年第4期84-86,共3页
在全球电商竞争持续加剧、消费者环保意识不断提升的背景下,亚马逊公司“气候友好承诺(CPF)计划”应运而生,它巧妙地通过聚合超过50项第三方可持续性认证,为那些真正践行环保理念的绿色产品提供了显著的平台流量支持与品牌增值路径。本... 在全球电商竞争持续加剧、消费者环保意识不断提升的背景下,亚马逊公司“气候友好承诺(CPF)计划”应运而生,它巧妙地通过聚合超过50项第三方可持续性认证,为那些真正践行环保理念的绿色产品提供了显著的平台流量支持与品牌增值路径。本文聚焦CPF计划中与我国出口企业业务结合度高度相关的三项核心认证——国际可持续性与碳认证(ISCC)、美国能源之星(ENERGY STAR)和雨林联盟(Rainforest Alliance)认证,系统地解析其各自的技术标准、市场定位与实施路径,为我国企业“绿色出海”提供参考。 展开更多
关键词 气候友好承诺(cpf) 国际可持续性与碳认证(ISCC) 能源之星 雨林联盟认证
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Wildfire increased summer low flows in snow-dominated watersheds:A combined approach of hydrometric monitoring and geochemical tracing
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作者 Shixuan Lyu Xiaohua Wei +8 位作者 Ming Qiu Mackenzie Myers Zhaozhi Wang Jinyu Hui Wenhui Yan Tongqing Shen Meirong Sun Shuhui Wang Yiping Hou 《Forest Ecosystems》 2026年第1期200-211,共12页
Forests are experiencing more frequent and intense wildfires in Canada,which pose considerable threats to water quantity and quality,particularly during the summer low-flow period when water demand is high.While the i... Forests are experiencing more frequent and intense wildfires in Canada,which pose considerable threats to water quantity and quality,particularly during the summer low-flow period when water demand is high.While the impacts of wildfire on hydrology have been widely assessed at the watershed scale,the underlying mechanisms of the responses of summer low flows remain poorly understood.In this study,we employed an integrated research framework that combines hydrometric monitoring with geochemical tracing to evaluate how the 2021 White Rock Lake Wildfire affected summer low flows,and to identify the underlying mechanisms governing these responses in the Okanagan Valley,British Columbia(BC),Canada.We found that(1)summer low flows,represented by Q90(flows exceeded at 90%of the time in summer)significantly increased following the wildfire(p<0.05);(2)summer low flows were primarily regulated by snow water in early summer(July),while dominated by groundwater in late summer(August and September);and(3)enhanced snow water contribution and reduced evapotranspiration(ET)were two primary contributors to the increased summer low flows.Our results provide insights for developing sustainable water management strategies for the region in the context of climate change and increasing forest disturbance.This study also demonstrates that the combination of hydrometric monitoring and geochemical tracing is an effective approach towards uncovering mechanisms that drive low-flow responses. 展开更多
关键词 Summer low flows WILDFIRE Water quantity Stable water isotopes Geochemical tracers Okanagan Valley
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Greater Impacts of Summer Central Pacific ENSO on the Cross-Equatorial Flows over the Maritime Continent Compared with Eastern Pacific ENSO
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作者 Xiaoxuan ZHAO Riyu LU Jianqi SUN 《Advances in Atmospheric Sciences》 2026年第3期477-488,I0001,I0002,共14页
Based on reanalysis data and CMIP6 simulations,this study investigates the distinct responses of the cross-equatorial flows(CEFs)over the Maritime Continent(MC)under the simultaneous summer condition of two types of E... Based on reanalysis data and CMIP6 simulations,this study investigates the distinct responses of the cross-equatorial flows(CEFs)over the Maritime Continent(MC)under the simultaneous summer condition of two types of ENSO:central Pacific(CP)and eastern Pacific(EP).Results indicate that CP ENSO tends to exert stronger impacts on CEF.In CP ENSO years,significant lower-level southerly anomalies can be observed across all CEF branches adjacent to MC,accompanied by broader and deeper upper-level northerly anomalies,indicating a well-organized strengthening of both upper-and lowerlevel CEFs.In contrast,CEF anomalies in EP ENSO years tend to be weaker,with significant meridional wind anomalies confined to the east of MC.The disparities in the CEF responses can be elucidated from the perspective of convection over MC,a crucial factor in triggering CEF.In CP ENSO years,westward-leaning sea surface temperature(SST)anomalies result in a distinct cooling in MC and suppressed convection above,driving pronounced CEF anomalies.Conversely,the absence of such organized SST cooling during EP ENSO results in weaker convective forcing and subdued CEF responses.Furthermore,historical simulations from 48 CMIP6 models are utilized to validate the observational findings.Results show that model simulations can successfully reproduce the stronger impacts of CP ENSO,with a remarkable intermodel consistency.This research contributes toward a comprehensive understanding of the diversity in the relationship between CEF and ENSO types,and has implications for seasonal forecasting of CEF variability. 展开更多
关键词 cross-equatorial flows central Pacific ENSO eastern Pacific ENSO Maritime Continent CMIP6 simulations
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Research on grain supply and demand matching in the Beijing-Tianjin-Hebei region based on ecosystem service flows
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作者 Jiaxin Miao Peipei Pan +7 位作者 Bingyu Liu XiaowenYuan Zijun Pan Linsi Li Xinyun Wang Yuan Wang Yongqiang Cao Tianyuan Zhang 《Journal of Integrative Agriculture》 2026年第2期460-480,共21页
A comprehensive assessment of grain supply,demand,and ecosystem service flows is essential for identifying grain movement pathways,ensuring regional grain security,and guiding sustainable management strategies.However... A comprehensive assessment of grain supply,demand,and ecosystem service flows is essential for identifying grain movement pathways,ensuring regional grain security,and guiding sustainable management strategies.However,current studies primarily focus on short-term grain provision services while neglecting the spatiotemporal variations in grain flows across different scales.This gap limits the identification of dynamic matching relationships and the formulation of optimization strategies for balancing grain flows.This study examined the spatiotemporal evolution of grain supply and demand in the Beijing-Tianjin-Hebei(BTH)region from 1980 to 2020.Using the Enhanced TwoStep Floating Catchment Area method,the grain provision ecosystem service flows were quantified,the changes in supply–demand matching under different grain flow scenarios were analyzed and the optimal distance threshold for grain flows was investigated.The results revealed that grain production follows a spatial distribution pattern characterized by high levels in the southeast and low levels in the northwest.A significant mismatch exists between supply and demand,and it shows a scale effect.Deficit areas are mainly concentrated in the northwest,while surplus areas are mainly located in the central and southern regions.As the spatial scale increases,the ecosystem service supply–demand ratio(SDR)classification becomes more clustered,while it exhibits greater spatial SDR heterogeneity at smaller scales.This study examined two distinct scenarios of grain provision ecosystem service flow dynamics based on 100 and 200 km distance thresholds.The flow increased significantly,from 2.17 to 11.81million tons in the first scenario and from 2.41 to 12.37 million tons in the second scenario over nearly 40 years,forming a spatial movement pattern from the central and southern regions to the surrounding areas.Large flows were mainly concentrated in the interior of urban centers,with significant outflows between cities such as Baoding,Shijiazhuang,Xingtai,and Hengshui.At the county scale,supply–demand matching patterns remained consistent between the grain flows in the two scenarios.Notably,incorporating grain flow dynamics significantly reduced the number of grain-deficit areas compared to scenarios without grain flow.In 2020,grain-deficit counties decreased by28.79 and 37.88%,and cities by 12.50 and 25.0%under the two scenarios,respectively.Furthermore,the distance threshold for achieving optimal supply and demand matching at the county scale was longer than at the city scale in both grain flow scenarios.This study provides valuable insights into the dynamic relationships and heterogeneous patterns of grain matching,and expands the research perspective on grain and ecosystem service flows across various spatiotemporal scales. 展开更多
关键词 Beijing-Tianjin-Hebei region grain provision ecosystem service grain flow supply and demand match distance threshold
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Broadband performance of multi-degree-of-freedom septum liners under high-velocity grazing flows
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作者 Yujie WANG Xianghai QIU +5 位作者 Xiaodong JING Lin DU Shuangying JI Yiang LYU Yao XU Xiaofeng SUN 《Chinese Journal of Aeronautics》 2026年第2期151-161,共11页
Developing advanced acoustic treatments,such as the Multi-Degree-of-Freedom(MDOF)septum liner,to realize the broadband noise reduction is critical for silent aeroengines.This study investigates experimentally the MDOF... Developing advanced acoustic treatments,such as the Multi-Degree-of-Freedom(MDOF)septum liner,to realize the broadband noise reduction is critical for silent aeroengines.This study investigates experimentally the MDOF septum liner and its impedance model on the Beihang Grazing Flow Duct(BGFD)setup,over a wide frequency range under grazing flows up to 0.5 Mach number and Sound Pressure Level(SPL)up to 150 dB,typically encountered in aeroengine nacelles.Several specimens varying in the numbers,types,and depths of septa among units are designed,fabricated,and measured.Their impedances and Transmission Losses(TL)are obtained using the mirror-based multimodal straightforward method and the mode decomposition technique,respectively.Generally,the model predictions show good agreement with the educed impedances in all cases,and such liners with a large-porosity facesheet exhibit low acoustic nonlinearities in the presence of high SPL,especially under high-velocity grazing flows.Moreover,a MDOF liner we delicately designed,compared with a conventional broadband three-layer perforated liner as the reference,is close to the resonant state at more frequencies and thus has higher and wider measured TL spectra almost from 1 kHz up to 10 kHz at studied Mach numbers,under the premise of saving 22.7 mm in the thickness.These show that,the MDOF septum liner,if well designed,can achieve an ultra-broadband efficient sound attenuation using more limited spaces in complex aeroacoustic environments. 展开更多
关键词 Broadband performance High-velocity grazing flow Impedance prediction model Low acoustic nonlinearity Multi-degree-of-freedom septum liner
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Validation of time-space collocation method for simulating asymmetric unsteady flows in eccentric compressors
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作者 Haowei ZHOU Pengcheng DU Fangfei NING 《Chinese Journal of Aeronautics》 2026年第2期80-99,共20页
Circumferentially non-uniform tip clearances induced by rotor eccentricity significantly affect the overall performance of axial compressors,particularly the stability margin.Currently,Computational Fluid Dynamics(CFD... Circumferentially non-uniform tip clearances induced by rotor eccentricity significantly affect the overall performance of axial compressors,particularly the stability margin.Currently,Computational Fluid Dynamics(CFD)plays a crucial role in the aerodynamic analysis of eccentric compressors.However,conventional full-annulus Unsteady Reynolds-Averaged Navier-Stokes(URANS)simulations are prohibitively expensive for routine design and analysis purposes.To address this issue,the paper presents a novel Fourier-based method,called the Time-Space Collocation(TSC)method,for efficient simulations of eccentric compressors.This method coherently treats temporal and spatial harmonics,making it well-suited to tackle the rotor eccentricity problem,as the perturbation waves induced by eccentricity are time-periodic with respect to the rotor and space-periodic with respect to the stator.Three numerical cases,including NASA Rotor 67,original Stage 67,and Stage 67 with a reduced rotor-stator axial gap,were conducted to verify the effectiveness of the TSC method.The results indicate that,for the rotor eccentricity levels studied in this paper,the influence of weak rotor-stator interactions can be disregarded in the original Stage 67.In this situation,applying three harmonics can accurately capture both the performance variations and the non-uniformly distributed flowfields of eccentric compressors,while achieving a reduction in run time by two orders of magnitude compared to full-annulus URANS simulations.However,in Stage 67 with a reduced rotor-stator axial gap,the results that include rotor-stator interactions align much more closely with the URANS results.Nevertheless,the TSC simulations can still achieve speed-ups of several dozen times.Overall,the TSC method shows promising potential for application within the engineering community. 展开更多
关键词 Circumferentially nonuniform tip clearance Full-annulus unsteady simulation Rotor eccentricity Time-space collocation method Time-space periodic flow
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A two-point three-phase resolved coupling framework for modeling boulder-laden debris flows
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作者 Yangfan Ma Mitsuteru Asai +3 位作者 Bin Su Zheng Han Changze Li Guangqi Chen 《Journal of Rock Mechanics and Geotechnical Engineering》 2026年第2期932-953,共22页
Stony debris flows,characterized by coarse boulders embedded in a sediment-laden matrix,greatly amplify destructive potential by altering flow dynamics and impact forces.Conventional single-phase particle-fluidmixture... Stony debris flows,characterized by coarse boulders embedded in a sediment-laden matrix,greatly amplify destructive potential by altering flow dynamics and impact forces.Conventional single-phase particle-fluidmixture models often struggle to capture the complexities introduced by coarse boulders and multi-phase interactions,while strong-coupling methods can be computationally prohibitive for practical hazard assessments.In this study,we propose a semi-hybrid,fully resolved coupling numerical framework for modeling boulder-laden debris flows.This framework conceptualizes debris flows as a composite system comprising a continuous viscous fluidphase(including finesediments)and a discrete phase of arbitrarily shaped coarse particles.The continuous phase is treated as a generalized nonlinear Coulomb-viscoplastic fluidusing the smoothed particle hydrodynamics(SPH)method,while coarse particles are modeled via the distributed contact discrete element method(DCDEM).These two phases are coupled through an efficienttwo-way resolved scheme,ensuring accurate simulation of flow-boulder interactions within a unifiedtimeframe.We validate the proposed method against two physical experiments:(1)gravity-driven concrete flows and(2)debris flowinteracting with slit-type barriers.Results confirmthe method's robustness in accurately capturing fluid-solid-structureinteractions and deposition processes.Its capabilities are further showcased through the simulation of a stony debris-flowevent inWenchuan County,China,highlighting its promise for real-world engineering applications and validating the effectiveness of the existing cascade dam system in mitigating debrisflowimpact and energy dissipation. 展开更多
关键词 Debris flow Large boulders Smooth particle hydrodynamics(SPH) Discrete element method(DEM) Multi-phase Resolved coupling
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数学学习心理的CPFS结构理论与实践研究述评 被引量:2
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作者 喻平 《数学教育学报》 北大核心 2025年第4期1-7,共7页
CPFS结构是数学学习特有的一种心理结构,它由概念域、概念系、命题域、命题系组成.CPFS结构理论提出至今有二十余年,相关研究文献265篇,研究领域大致分为CPFS结构的理论建构、学习和教学领域.研究内容宽泛,涉及CPFS结构与其它心理因素... CPFS结构是数学学习特有的一种心理结构,它由概念域、概念系、命题域、命题系组成.CPFS结构理论提出至今有二十余年,相关研究文献265篇,研究领域大致分为CPFS结构的理论建构、学习和教学领域.研究内容宽泛,涉及CPFS结构与其它心理因素的相关关系、学生CPFS结构的调查研究、实验研究、函数教学、代数教学、几何教学、概率与统计教学、解题教学、单元教学和一般教学.进一步研究的问题可以考虑:CPFS结构的测量工具开发、个体CPFS结构与其它因素的关系、CPFS结构与“四基”“四能”的关系、个体CPFS结构与数学学科核心素养发展的关系、CPFS结构的教学研究. 展开更多
关键词 数学学习 学习心理 cpfS结构 教学
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基于CPFS结构的初中数学学科育人系统研究 被引量:1
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作者 唐萍 马敏 《江苏教育研究》 2025年第4期94-98,共5页
课堂教学作为实现教育目标的核心途径,对培养人才具有决定性作用。在传统教学实践中,仍存在对知识体系构建缺乏整体性考量、过分强调教学过程的趣味性以及教学模式单一化等问题。因此,必须以学生为中心,以具备整体性结构特征的课程实例... 课堂教学作为实现教育目标的核心途径,对培养人才具有决定性作用。在传统教学实践中,仍存在对知识体系构建缺乏整体性考量、过分强调教学过程的趣味性以及教学模式单一化等问题。因此,必须以学生为中心,以具备整体性结构特征的课程实例为实践基础,构建基于CPFS结构的教学实践路径。通过这一路径,在教学实践中提炼学科育人体系,落实数学核心素养,以促进学生全面且个性化的发展。 展开更多
关键词 cpfS结构 初中数学教学 核心素养
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新课标下初中生CPFS结构与代数推理能力的相关性研究
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作者 李诗 王薇 +1 位作者 刘兵 彭艳贵 《鞍山师范学院学报》 2025年第4期71-76,共6页
依据《义务教育数学课程标准(2022年版)》的评价要求,以鞍山市两所中学九年级学生为研究对象,采用CPFS结构与代数推理能力测评工具开展实证研究.结果表明:九年级学生CPFS结构整体处于中等偏下水平,城乡校际差异显著,等价推理与概念图构... 依据《义务教育数学课程标准(2022年版)》的评价要求,以鞍山市两所中学九年级学生为研究对象,采用CPFS结构与代数推理能力测评工具开展实证研究.结果表明:九年级学生CPFS结构整体处于中等偏下水平,城乡校际差异显著,等价推理与概念图构建能力薄弱;代数推理能力呈中等偏下水平,函数模块与论证环节存在不足;Pearson相关性分析显示个体CPFS结构与代数推理能力呈显著正相关;回归方程证实CPFS结构对代数推理能力具有预测效应.基于此,提出了核心素养导向的教学优化路径. 展开更多
关键词 cpfS结构 代数推理能力 相关性
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高中数学CPFS结构教育研究 被引量:1
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作者 张卯生 《甘肃教育》 2025年第5期45-47,共3页
概念域、概念系、命题域、命题系共同组成一个体系,记为CPFS结构,是对认识结构的精确概述,反映了数学学习特有的心理现象和规律,对学生数学理解、学习迁移、探究问题能力、解决问题能力都会产生直接的正面影响。文章针对CPFS结构教学中... 概念域、概念系、命题域、命题系共同组成一个体系,记为CPFS结构,是对认识结构的精确概述,反映了数学学习特有的心理现象和规律,对学生数学理解、学习迁移、探究问题能力、解决问题能力都会产生直接的正面影响。文章针对CPFS结构教学中出现的资源不均、观念滞后、个体基础差距和自我学习能力不足等问题,从跨越教学资源差距、重塑教育灵魂、聚焦学生个体发展这三个方面提出优化高中数学CPFS结构教学的策略。 展开更多
关键词 高中数学 cpfS结构 概念 问题 策略
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Numerical Study of Cavitating Flows around a Hydrofoil with Deep Analysis of Vorticity Effects 被引量:1
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作者 Shande Li Wen’an Zhong +1 位作者 Shaoxing Yu Hao Wang 《Fluid Dynamics & Materials Processing》 2025年第1期179-204,共26页
This paper aims to numerically explore the characteristics of unsteady cavitating flow around a NACA0015 hydrofoil,with a focus on vorticity attributes.The simulation utilizes a homogeneous mixture model coupled with ... This paper aims to numerically explore the characteristics of unsteady cavitating flow around a NACA0015 hydrofoil,with a focus on vorticity attributes.The simulation utilizes a homogeneous mixture model coupled with a filter-based density correction turbulence model and a modified Zwart cavitation model.The study investigates the dynamic cavitation features of the thermal fluid around the hydrofoil at various incoming flow velocities.It systematically elucidates the evolution of cavitation and vortex dynamics corresponding to each velocity condition.The results indicate that with increasing incoming flow velocity,distinct cavitation processes take place in the flow field. 展开更多
关键词 Cavitating flow HYDROFOIL flow velocity VORTICITY Computational Fluid Dynamics(CFD)
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Study of an adaptive bump control mechanism for shock wave/boundary layer interactions in supersonic flows 被引量:1
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作者 Shan-Shan Tian Liang Jin +2 位作者 Wei Huang Yang Shen Kai An 《Theoretical & Applied Mechanics Letters》 2025年第4期319-330,共12页
The stability of supersonic inlets faces challenges due to various changes in flight conditions,and flow control methods that address shock wave/boundary layer interactions under only one set of conditions cannot meet... The stability of supersonic inlets faces challenges due to various changes in flight conditions,and flow control methods that address shock wave/boundary layer interactions under only one set of conditions cannot meet developmental requirements.This paper proposes an adaptive bump control scheme and employs dynamic mesh technology for numerical simulation to investigate the unsteady control effects of adaptive bumps.The obtained results indicate that the use of moving bumps to control shock wave/boundary layer interactions is feasible.The adaptive control effects of five different bump speeds are evaluated.Within the range of bump speeds studied,the analysis of the flow field structure reveals the patterns of change in the separation zone area during the control process,as well as the relationship between the bump motion speed and the control effect on the separation zone.It is concluded that the moving bump endows the boundary layer with additional energy. 展开更多
关键词 Shock wave/boundary layer interaction ADAPTIVE Flow control BUMP Supersonic flow
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Boundary fluid constraints during electrochemical jet machining of large size emerging titanium alloy aerospace parts in gas–liquid flows:Experimental and numerical simulation 被引量:1
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作者 Yang LIU Ningsong QU +1 位作者 Hansong LI Zhaoyang ZHANG 《Chinese Journal of Aeronautics》 2025年第1期115-130,共16页
Large size titanium alloy parts are widely used in aerospace.However,they are difficult to manufacture using mechanical cutting technology because of severe tool wear.Electrochemical jet machining is a promising techn... Large size titanium alloy parts are widely used in aerospace.However,they are difficult to manufacture using mechanical cutting technology because of severe tool wear.Electrochemical jet machining is a promising technology to achieve high efficiency,because it has high machining flexibility and no machining tool wear.However,reports on the macro electrochemical jet machining of large size titanium alloy parts are very scarce,because it is difficult to achieve effective constraint of the flow field in macro electrochemical jet machining.In addition,titanium alloy is very sensitive to fluctuation of the flow field,and a turbulent flow field would lead to serious stray corrosion.This paper reports a series of investigations of the electrochemical jet machining of titanium alloy parts.Based on the flow analysis and experiments,the machining flow field was effectively constrained.TB6 titanium alloy part with a perimeter of one meter was machined.The machined surface was smooth with no obvious machining defects.The machining process was particularly stable with no obvious spark discharge.The research provides a reference for the application of electrochemical jet machining technology to achieve large allowance material removal in the machining of large titanium alloy parts. 展开更多
关键词 Electrochemical jet machining Titanium alloys Large size parts Flow simulation Turbulent flow
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