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Strong Laws of Large Numbers for Sequences of Blockwise m-Dependent and Sub-Orthogonal Random Variables under Sublinear Expectations 被引量:1
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作者 Jialiang FU 《Journal of Mathematical Research with Applications》 2026年第1期103-118,共16页
In this paper,we establish some strong laws of large numbers,which are for nonindependent random variables under the framework of sublinear expectations.One of our main results is for blockwise m-dependent random vari... In this paper,we establish some strong laws of large numbers,which are for nonindependent random variables under the framework of sublinear expectations.One of our main results is for blockwise m-dependent random variables,and another is for sub-orthogonal random variables.Both extend the strong law of large numbers for independent random variables under sublinear expectations to the non-independent case. 展开更多
关键词 sublinear expectations strong law of large numbers blockwise m-dependent suborthogonal random variables
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Rediscovery of the type specimen of Jehol flying squirrel(Sciuropterus wulungshanensis Mori,1939)and its significance for the taxonomy of Pteromys
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作者 SUZUKI Kei K YASUDA Masatoshi KAWADA Shin-ichiro 《兽类学报》 北大核心 2026年第1期148-152,共5页
In mammals,the litter size is approximately half the number of mammae,known as the‘one-half rule’,which has been recognized since the time of Aristotle in ancient Greece(Aristotle,1937)and applies to many species(Gi... In mammals,the litter size is approximately half the number of mammae,known as the‘one-half rule’,which has been recognized since the time of Aristotle in ancient Greece(Aristotle,1937)and applies to many species(Gilbert,1986;Diamond,1987).In contrast,arboreal squirrels,including flying squirrels,notably diverge from this norm by producing fewer offspring(Gilbert,1986).However,the reasons underlying this smaller litter size in arboreal squirrels have long remained elusive. 展开更多
关键词 Pteromys Mammae number TAXONOMY
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In-Flight Heating Process of Cerium Oxide Powders in Radio Frequency Thermal Plasma Considering Thermal Resistance Effect
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作者 Su Yi Liu Ruizhe +3 位作者 Ahmad Hilal Zhao Peng Jin Xingyue Zhu Hailong 《稀有金属材料与工程》 北大核心 2026年第3期581-594,共14页
The in-flight heating process of cerium dioxide(CeO_(2))powders was investigated through experiments and numerical simulations.In the experiment,CeO_(2)powder(average size of 30μm)was injected into radio-frequency(RF... The in-flight heating process of cerium dioxide(CeO_(2))powders was investigated through experiments and numerical simulations.In the experiment,CeO_(2)powder(average size of 30μm)was injected into radio-frequency(RF)argon plasma,and the temperatures were measured using a DPV-2000 monitor.A model combining the electromagnetism,thermal flow,and heat transfer characteristics of powder during in-flight heating in argon plasma was proposed.The melting processes of CeO_(2)powders of different diameters,with and without thermal resistance effect,were investigated.Results show that the heating process of CeO_(2)powder particles consists of three main stages,one of which is relevant to a dimensionless parameter known as the Biot number.When the Biot value≥0.1,thermal resistance increases significantly,especially for the larger powders.The predicted temperature of the particles at the outlet(1800–2880 K)is in good agreement with the experimental result. 展开更多
关键词 RF thermal plasma thermal resistance effect heating process Biot number
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Magnetoelectric topology:The rope weaving in parameter space
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作者 Ying Zhou Ziwen Wang +2 位作者 Fan Wang Haoshen Ye Shuai Dong 《Chinese Physics B》 2026年第2期42-52,共11页
Topology,as a mathematical concept,has been introduced into condensed matter physics since the discovery of quantum Hall effect,which characterizes new physical scenario beyond the Landau theory.The topologically prot... Topology,as a mathematical concept,has been introduced into condensed matter physics since the discovery of quantum Hall effect,which characterizes new physical scenario beyond the Landau theory.The topologically protected physical quantities,such as the dissipationless quantum transport of edge/surface states as well as magnetic/dipole quasi-particles like skyrmions/bimerons,have attracted great research enthusiasms in the past decades.In recent years,another kind of topology in condensed matter was revealed in the magnetoelectric parameter space of multiferroics,which deepens our understanding of magnetoelectric physics.This topical review summarizes recent advances in this area,involving three types of type-Ⅱmultiferroics.With magnetism-induced ferroelectricity,topological behaviors can be manifested during the magnetoelectric switching processes driven by magnetic/electric fields,such as Roman-surface/Riemann-surface magnetoelectricity and magnetic crankshaft.These exotic topological magnetoelectric behaviors may be helpful to pursue energy-efficient and precise-control devices for spintronics and quantum computing. 展开更多
关键词 MAGNETOELECTRICITY TOPOLOGY winding number multiferroicity
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Influencing factors of noise characteristics in EBCMOS with uniformly doped P-type substrates
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作者 Xinyue He Gangcheng Jiao +4 位作者 Hongchang Cheng Tianjiao Lu Ye Li De Song Weijun Chen 《Journal of Semiconductors》 2026年第1期30-40,共11页
In this study,with the aim of achieving a high signal-to-noise ratio(SNR)in an electron-bombarded complementary metal-oxide-semiconductor(EBCMOS)imaging chip,we analyzed the sources of noise using principles from low-... In this study,with the aim of achieving a high signal-to-noise ratio(SNR)in an electron-bombarded complementary metal-oxide-semiconductor(EBCMOS)imaging chip,we analyzed the sources of noise using principles from low-light-level imaging and semiconductor theory,and established a physical computational model that relates the electron-multiplication layer to the noise characteristics of an EBCMOS chip in a uniformly doped structure with a P-type substrate.We conducted theoretical calculations to analyze the effects on noise characteristics of the passivation layer material and thickness,P-substrate doping concentration,P-substrate thickness,incident electron energy,and substrate temperature.By comparing the characteristics of pixel noise,dark current,multiplication electron numbers,and SNR under various structures,we simulated optimized structural parameters of the device.Our simulation results showed that the noise characteristics of the device could be optimized using an Al_(2)O_(3)passivation thickness of 15 nm and substrate temperature of 260 K,and by decreasing the doping concentration and thickness of the P-type substrate and increasing the incident electron energy.The optimized SNR were 252 e/e.And the substantial impact of dark current noise,primarily governed by interfacial defects,on the overall noise characteristics of the device.This research offers theoretical support to develop EBCMOS imaging chips with high gain and SNR. 展开更多
关键词 EBCMOS dark current electron number GAIN SNR
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Study on the Motion Characteristics of Floating Bubbles near the Wall Based on OpenFOAM
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作者 Jie Cui Tao Xia +2 位作者 Zhaoyu Qu Xin Chen Mingyuan Li 《哈尔滨工程大学学报(英文版)》 2026年第1期32-45,共14页
In this study,the dynamic characteristics of microscale floating bubbles near the vertical wall are studied.This occurrence is common in industrial and natural phenomena.Although many studies have been conducted on mi... In this study,the dynamic characteristics of microscale floating bubbles near the vertical wall are studied.This occurrence is common in industrial and natural phenomena.Although many studies have been conducted on microscale bubbles,few studies investigate floating bubbles with very small Reynolds number(Re)near the wall,which is the main research goal of this study.Therefore,this study establishes a model for the ascent of small-scale bubbles near a vertical wall using the interFoam solver in OpenFOAM.This study investigates the influences of diverse viscosity parameters,varying distances from the wall,and different gas flow rates on the terminal velocity,deformation,and motion trajectory of bubbles.The results reveal that as liquid viscosity increases,the Re of bubbles gradually decreases and reaches a minimum of 0.012,which is similar to the Re of micrometer-sized bubbles in water.The characteristics of the wall-induced force in the longitudinal direction are closely related to the changes in liquid viscosity.Under low-viscosity conditions,the induced lift is the principal form of action,whereas under high-viscosity conditions,it is primarily manifested as induced drag. 展开更多
关键词 Rising bubble Viscosity Low Reynolds number Near wall bubbles OPENFOAM
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Correction models of Reynolds number effects for through-flow method in axial compressors
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作者 Xiaochen WANG Chunwei GU 《Chinese Journal of Aeronautics》 2026年第1期78-94,共17页
Aerodynamic performances of axial compressors are significantly affected by variation of Reynolds number in aero-engines.In the design and analysis of compressors,previous correction methods for cascades and stages ha... Aerodynamic performances of axial compressors are significantly affected by variation of Reynolds number in aero-engines.In the design and analysis of compressors,previous correction methods for cascades and stages have difficulties in predicting comprehensively Reynolds number effects on airfoils,matching and characteristics curves.This study proposes Re-correction models for loss,deviation angle and endwall blockage based on classical theories and cascade tests,and loss and deviation models show good agreement in test data of NACA65 and C4 cascades.Throughflow method considering Reynolds number effects is developed by integrating the correction models into a verified Streamline Curvature(SLC)tool.A three-stage axial compressor is investigated through SLC and CFD methods from design Reynolds number(Red=2106)to low Re=4104,and the numerical methods are validated with test data of characteristic curves and spanwise distributions at Red.With Re reduction,SLC method with correction models well predicts variation in overall performances compared with CFD calculations and Wassell's model.Streamwise and spanwise matching such as total pressure and loss distributions in SLC predictions are basically consistent with those in CFD results at near-stall points under design and low Reynolds numbers.SLC and CFD methods share similar detections of stall risks in the third stage(Stg3),and their analyses of diffusion processes deviate to some extent due to different predictions in separated endwall flow.The correction models can be adopted to consider Reynolds number effects in through-flow design and analysis of axial compressors. 展开更多
关键词 Axial compressor Reynolds number effects Correction model Through-flow method Aerodynamic performance
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Low-Reynolds-Number Performance of Micro Radial-Flow Turbines at High Altitudes
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作者 Yanzhao Yang Kai Yang +10 位作者 Junwei Zhang Fengsuo Jiang Sheng Xu Lei Chen Jun Bai Luyi Lu Hua Ji Zhihao Jing Senhao Wang Jingjing Zheng Haifeng Zhai 《Fluid Dynamics & Materials Processing》 2026年第1期66-85,共20页
The low-pressure and low-density conditions encountered at high altitudes significantly reduce the operating Reynolds number of micro radial-flow turbines,frequently bringing it below the self-similarity critical thre... The low-pressure and low-density conditions encountered at high altitudes significantly reduce the operating Reynolds number of micro radial-flow turbines,frequently bringing it below the self-similarity critical threshold of 3.5×10^(4).This departure undermines the applicability of conventional similarity-based design approaches.In this study,micro radial-flow turbines with rotor diameters below 50 mm are investigated through a combined approach integrating high-fidelity numerical simulations with experimental validation,aiming to elucidate the mechanisms by which low Reynolds numbers influence aerodynamic and thermodynamic performance.The results demonstrate that decreasing Reynolds number leads to boundary-layer thickening on blade surfaces,enhanced flow separation on the suction side,and increased secondary-flow losses within the blade passages.These effects jointly produce a pronounced and non-linear deterioration of turbine efficiency.Geometric scaling analysis further indicates that efficiency losses intensify with decreasing turbine size,and become particularly severe at low rotational speeds and high expansion ratios.Detailed flow-field analyses reveal a direct link between the degradation of blade loading distribution and the amplification of transverse pressure gradients under low-Reynolds-number conditions,providing physical insight into the observed performance decline. 展开更多
关键词 High altitude low Reynolds number radial-flow turbine aerodynamic performance experimental verification
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Hydrogen Ion Escape from Water's Body-Centered Cubic Lattice for Modelling IPMC'Electromechanical Behavior
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作者 Dehai Zhang Chenyu Xu +4 位作者 Jingxin Zhou Zhiqiang Zhang Zhimin Xu Yihao Li Dongjie Guo 《Journal of Bionic Engineering》 2026年第1期416-430,共15页
Ion-exchange Polymer-Metal Composites(IPMCs)gain huge attentions due to large deformation,rapid electromechanical response,and high energy conversion efficiency.Deflection of IPMC arises from the volumetric swelling e... Ion-exchange Polymer-Metal Composites(IPMCs)gain huge attentions due to large deformation,rapid electromechanical response,and high energy conversion efficiency.Deflection of IPMC arises from the volumetric swelling effect induced by the concentration gradient of hydrated cations between the two electrodes,thus the volume of hydrated cation deter-mines the motion magnitude and direction of IPMC.H ion is one of the most commonly used driving cations for IPMC.However,due to its unique characteristics,particularly the inability to accurately quantify its hydration volume,existing literatures primarily focus on the physical driving models for metallic cations,i.e.,Na+,no driving model for the H ion is reported until now.This paper proposes a novel model of H ion escape from the water's body-centered cubic lattice to count the hydration volume.Number(n)of water molecules carried by the H ion is solved by combining the Lennard-Jones potential energy function with Maxwell's velocity distribution.The specific n value is equivalent to 4.04 for the H ion inside Nafion electrolyte under a 3.0 V DC electric field.Substituting it into the classic Friction Model(proposed by Tadokoro et al.at 2000),actuation behaviors of H ion driven IPMC were therefore achieved through Matlab calculations and Abaqus simulations.The calculated results of dynamic displacement and force highly match to the experimental data form the Nafion IPMC actuator driven by same electric field,showing a highly reliability of the established escape model. 展开更多
关键词 IPMC Friction model Electromechanical coupling Number of coordinated water molecules Bodycentered cubic
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The t-Tone Coloring of Some Finite Planar Lattices
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作者 Xiaoling ZHANG 《Journal of Mathematical Research with Applications》 2026年第1期13-20,共8页
A t-tone coloring of a graph assigns t distinct colors to each vertex with vertices at distance d having fewer than d colors in common.The t-tone chromatic number of a graph is the smallest number of colors used in al... A t-tone coloring of a graph assigns t distinct colors to each vertex with vertices at distance d having fewer than d colors in common.The t-tone chromatic number of a graph is the smallest number of colors used in all t-tone colorings of that graph.In this article,we study t-tone coloring of some finite planar lattices and obtain exact formulas for their t-tone chromatic number. 展开更多
关键词 t-tone coloring t-tone chromatic number planar lattice
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Vaccination-transmission coupled mechanism based on parallel minority game
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作者 Chenli Xue Xiaofeng Luo Gui-Quan Sun 《Chinese Physics B》 2026年第2期685-702,共18页
Vaccination is a key strategy to curb the spread of epidemics.Heterologous vaccination,unlike homologous vaccination which acts on a single target and forms a single immune barrier,covers multiple targets for broader ... Vaccination is a key strategy to curb the spread of epidemics.Heterologous vaccination,unlike homologous vaccination which acts on a single target and forms a single immune barrier,covers multiple targets for broader protection.Yet,heterologous vaccination involves a complex decision process that conventional game-theoretic approaches,such as classical,evolutionary,and minority games cannot adequately capture.The parallel minority game(PMG)can handle bounded-rational,multi-choice decisions,but its application in vaccine research remains rare.In this study,we propose a vaccination-transmission coupled dynamic mechanism based on the parallel minority game and simulate it on a two-dimensional lattice.Using actual observational data and a mean-field mathematical model,we verify the effectiveness of this mechanism in simulating realistic vaccination behavior and transmission dynamics.We further analyze the impact of key parameters,such as vaccine efficacy differences and the proportion of individuals eligible for vaccine switching,on containment effectiveness.Our results demonstrate that heterologous vaccination surpasses homologous vaccination in containment effectiveness,particularly when vaccine efficacy varies significantly.This work provides a novel framework and empirical evidence for understanding individual decision-making and population-wide immunity formation in multi-vaccine settings. 展开更多
关键词 infectious disease modeling basic reproduction number parallel minority game heterologous vaccination
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Suppressors of Cytokinin Receptor Mutant pal1/ohk4 Confer Favorable Alleles of Grain Number 1a(Gn1a)for Improving Grain Yield in japonica Rice
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作者 JIA Huichao CHUN Yan +9 位作者 Ashmit KUMAR MO Tianyu WANG Haifeng GUO Shengyuan FANG Jingjing ZHAO Jinfeng SUN Wei ZHANG Shiyong YUAN Shoujiang LI Xueyong 《Rice science》 2026年第1期81-98,I0068-I0073,共24页
Panicle number per plant,grain number per panicle,and grain weight are three key factors influencing rice grain yield.Gn1a,a major QTL for grain number per panicle,encodes the cytokinin oxidase/dehydrogenase(CKX)OsCKX... Panicle number per plant,grain number per panicle,and grain weight are three key factors influencing rice grain yield.Gn1a,a major QTL for grain number per panicle,encodes the cytokinin oxidase/dehydrogenase(CKX)OsCKX2.While the use of elite Gn1a alleles has been well documented in indica rice cultivars,their potential in japonica rice remains largely unexplored.In this study,we characterized three suppressor mutants of the rice cytokinin receptor mutant pal1/ohk4 and found that all causal genes were novel alleles of Gn1a identified through the MutMap approach.These three suppressor mutants caused single amino acid substitutions in the FAD-binding domain(G556D and G156D)and the cytokinin-binding domain(Y357C),resulting in significantly reduced enzymatic activity of OsCKX2 and elevated cytokinin levels in the panicle.Haplotype analysis of Gn1a using a natural population from the 3K Rice Genomes Project showed that G556D,G156D,and Y357C were novel alleles of Gn1a.G556,G156,and Y357 were highly conserved,whereas four natural variants G54A,A105V,H116R,and N535K identified in different haplotypes of Gn1a showed extremely low conservation.By backcrossing the suppressor mutants with their original wild-type Huaidao 5,an elite japonica rice variety,we developed improved lines carrying only the gn1a mutation.The improved lines showed a significant increase in grain number per panicle,grain weight,panicle number per plant,plant height,and stem thickness,leading to a 25.7%-28.7%increase in grain yield per plot compared with Huaidao 5.This study provides valuable Gn1a alleles for synergistic improvement of the three key yield factors and offers germplasm resources for high-yielding breeding in japonica rice. 展开更多
关键词 grain number panicle size CYTOKININ Gn1a OsCKX2 OHK4/OsHK4 SUPPRESSOR Oryza sativa
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Unraveling the missing heritability of amyotrophic lateral sclerosis:Should we focus more on copy number variations?
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作者 Maria Guarnaccia Valentina La Cognata +2 位作者 Giulia Gentile Giovanna Morello Sebastiano Cavallaro 《Neural Regeneration Research》 2026年第5期1997-1998,共2页
Amyotrophic lateral sclerosis (ALS) is a fatal neurodegenerative disorder characterized by the progressive degeneration of upper and lower motor neurons in the brainstem and spinal cord,leading to muscle weakness,para... Amyotrophic lateral sclerosis (ALS) is a fatal neurodegenerative disorder characterized by the progressive degeneration of upper and lower motor neurons in the brainstem and spinal cord,leading to muscle weakness,paralysis,and respiratory failure (Morgan and Orrell,2016). 展开更多
关键词 degeneration upper lower motor neurons unraveling neurodegenerative disorder missing heritability amyotrophic lateral sclerosis copy number variations
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《Contemporary Social Sciences》 2026年第1期I0004-I0004,共1页
Contemporary Social Sciences is an English-language journal founded by Sichuan Academy of Social Sciences (SASS) in March 2016. It is China’s first and only English academic journal established by a local academy of ... Contemporary Social Sciences is an English-language journal founded by Sichuan Academy of Social Sciences (SASS) in March 2016. It is China’s first and only English academic journal established by a local academy of social sciences, as well as Sichuan’s only English academic journal in humanities and social sciences with a CN serial number. 展开更多
关键词 cn serial number contemporary social sciences humanities social sciences english academic journal social sciences academy social sciences English language journal Sichuan Academy Social Sciences
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A_(α)-Spectral Conditions for(a,b,k)-Factor-Critical Graphs and Fractional ID-[a,b]-Factor-Critical Covered Graphs
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作者 Yonglei CHEN Fei WEN 《Journal of Mathematical Research with Applications》 2026年第1期1-12,共12页
In this paper,we first give a sufficient condition for a graph being fractional ID-[a,b]-factor-critical covered in terms of its independence number and minimum degree,which partially answers the problem posed by Sizh... In this paper,we first give a sufficient condition for a graph being fractional ID-[a,b]-factor-critical covered in terms of its independence number and minimum degree,which partially answers the problem posed by Sizhong Zhou,Hongxia Liu and Yang Xu(2022).Then,an A_(α)-spectral condition is given to ensure that G is a fractional ID-[a,b]-factor-critical covered graph and an(a,b,k)-factor-critical graph,respectively.In fact,(a,b,k)-factor-critical graph is a graph which has an[a,b]-factor for k=0.Thus,these above results extend the results of Jia Wei and Shenggui Zhang(2023)and Ao Fan,Ruifang Liu and Guoyan Ao(2023)in some sense. 展开更多
关键词 A_(α)-spectral radius (a b k)-factor fractional(g f)-factor ID-factor-critical graph independence number
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Enhancing Solar Photovoltaic Efficiency:A Computational Fluid Dynamics Analysis 被引量:1
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作者 Rahool Rai Fareed Hussain Mangi +1 位作者 Kashif Ahmed Sudhakar Kumaramsay 《Energy Engineering》 EI 2025年第1期153-166,共14页
The growing need for sustainable energy solutions,driven by rising energy shortages,environmental concerns,and the depletion of conventional energy sources,has led to a significant focus on renewable energy.Solar ener... The growing need for sustainable energy solutions,driven by rising energy shortages,environmental concerns,and the depletion of conventional energy sources,has led to a significant focus on renewable energy.Solar energy,among the various renewable sources,is particularly appealing due to its abundant availability.However,the efficiency of commercial solar photovoltaic(PV)modules is hindered by several factors,notably their conversion efficiency,which averages around 19%.This efficiency can further decline to 10%–16%due to temperature increases during peak sunlight hours.This study investigates the cooling of PV modules by applying water to their front surface through Computational fluid dynamics(CFD).The study aimed to determine the optimal conditions for cooling the PV module by analyzing the interplay between water film thickness,Reynolds number,and their effects on temperature reduction and heat transfer.The CFD analysis revealed that the most effective cooling condition occurred with a 5 mm thick water film and a Reynolds number of 10.These specific parameters were found to maximize the heat transfer and temperature reduction efficiency.This finding is crucial for the development of practical and efficient cooling systems for PV modules,potentially leading to improved performance and longevity of solar panels.Alternative cooling fluids or advanced cooling techniques that might offer even better efficiency or practical benefits. 展开更多
关键词 PV module efficiency water film thickness reynolds number CFD analysis PV/T renewable energy
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Review on internal flow mechanism and control methods of axial flow compressor at low Reynolds number 被引量:1
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作者 Xuyang REN Xingen LU +6 位作者 Mingyang WANG Ge HAN Chengwu YANG Xu DONG Lipan YAO Yanfeng ZHANG Shengfeng ZHAO 《Chinese Journal of Aeronautics》 2025年第5期7-27,共21页
With the continuous increase of aeroengine flight ceiling(>20 km),the thin atmosphere at high altitudes and the size effect all cause the compressor component inlet Reynolds number to decrease rapidly to a critical... With the continuous increase of aeroengine flight ceiling(>20 km),the thin atmosphere at high altitudes and the size effect all cause the compressor component inlet Reynolds number to decrease rapidly to a critical value(approximately 2.0×10^(5)),and the significant transition process on the blade/endwall surface leads to the sharp degradation of compressor performance,which seriously affects the engine fuel consumption and working stability at high altitudes.In this paper,the research progress on the internal flow mechanism and flow control methods of axial compressors at low Reynolds numbers is reviewed from the aspects of quantification and prediction of performance variation,flow loss mechanism related to separation and transition,efficient transition control and flow field organization.The development trend of the low-Reynolds-number effect of axial flow compressors is noted,and the difficulties and application prospects of aerodynamic design and efficient flow control methods for compressors under low Reynolds numbers at high altitudes are discussed. 展开更多
关键词 LowReynolds number Axial compressor Flow mechanism Flow control methods AEROENGINE
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Fine-mapping and candidate gene identification for QPtn.sau-4B showing potential in increasing productive tiller number and yield in wheat 被引量:1
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作者 Jiajun Liu Tongzhu Wang +16 位作者 Yuxin Lan Zhiyuan Zhang Jianing You Lei Wu Xinrong Hu Li Yin Yanlin Liu Huaping Tang Qiantao Jiang Qiang Xu Guoyue Chen Pengfei Qi Yunfeng Jiang Yuming Wei Youliang Zheng Chunji Liu Jian Ma 《The Crop Journal》 2025年第2期480-489,共10页
Productive tiller number(PTN)is a pivotal trait that significantly influences wheat grain yield.To date,there have been limited reports on the cloning of genes that regulate PTN in wheat.The quantitative trait locus(Q... Productive tiller number(PTN)is a pivotal trait that significantly influences wheat grain yield.To date,there have been limited reports on the cloning of genes that regulate PTN in wheat.The quantitative trait locus(QTL)QPtn.sau-4B,associated with PTN,was previously mapped between the markers KASP-1 and KASP-3 on the chromosome 4B.Here,utilizing 12 newly developed markers and phenotypic data of PTN from recombinants identified within this interval,QPtn.sau-4B was further fine-mapped to a 2.58 Mb interval on wheat chromosome arm 4BS.Within this interval,we identified 14 genes with high-confidence and 32 genes with low-confidence.A 0.17 Mb deletion fragment contained TraesCS4B03G0092600 and TraesCS4B03G0093100,which were assigned as candidate genes for QPtn.sau-4B.Additionally,QPtn.sau-4B had potential to enhance both PTN and grain yield in wheat.Cloning this locus would support the development of wheat cultivars with increased grain yield. 展开更多
关键词 WHEAT Productive tiller number Grain yield Candidate genes
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