Simulation of liquid cone formation on the tip apex of indium field emission electric propulsion thrusters

Field emission electric propulsion(FEEP) thrusters possess excellent characteristics, such as high specific impulse, low power requirements, compact size and precise pointing capabilities,making them ideal propulsion devices for micro-nano satellites. However, the detection of certain aspects, such as the evolution process of the liquid cone and the physical quantities at the cone apex, proves challenging due to the minute size of the needle tip and the vacuum environment in which they operate. Consequently, this paper introduces a computational fluid dynamics(CFD) model to gain insight into the formation process of the liquid cone on the tip apex of indium FEEP. The CFD model is based on electrohydrodynamic(EHD) equations and the volume of fluid(VOF) method. The entire cone formation process can be divided into three stages, and the time-dependent characteristics of the physical quantities at the cone apex are investigated. The influences of film thickness, apex radius size and applied voltage are compared.The results indicate a gradual increase in the values of electrostatic stress and surface tension stress at the cone apex over an initial period, followed by a rapid escalation within a short duration.Apex configurations featuring a small radius, thick film and high voltage exhibit a propensity for liquid cone formation, and the cone growth time decreases as the film thickness increases.Moreover, some unstable behavior is observed during the cone formation process.

Upstream Operations in the Oil Industry： Rigorous Modeling ofan Electrostatic Coalescer

This paper deals with a first-principle mathematical model that describes the electrostatic coalescer unitsdevoted to the separation of water from oil in water-in-oil emulsions, which are typical of the upstreamoperations in oil fields. The main phenomena governing the behavior of the electrostatic coalescer are denscribed, starting from fundamental laws. In addition, the gradual coalescence of the emulsion droplets isconsidered in the mathematical modeling in a dynamic fashion, as the phenomenon is identified as a keystep in the overall yield of the unit operation. The resulting differential system with boundary conditionsis then integrated via performing numerical libraries, and the simulation results confirm the available lit-erature and the industrial data. A sensitivity analysis is provided with respect to the main parameters. Themathematical model results in a flexible tool that is useful for the purposes of design, unit behavior predic-tion. performance rnoniroring, and ontimization.

A Rigorous Spectral Representation of Relativistic Random Phase Approximation

A rigorous spectral representation of relativistic random-phase approximation is presented.Explicit expression is derived for the effective particle-hole interaction which contains the direct term Kan,the exchange term KaQ and the kernel for the fermion line renormalization K_(fr).It is shown that according to our method,not only K_(an) but also K_(sc) and K_(fr) can be given rigorously in a form which depends only on one ω(energy)-variable and they all take account of the retardation effect properly.

Rigorous Coupled-Wave Approach for Sandwich Gratings

Rigorous Coupled-Wave Approach (RCWA) has been used successfully and accurately to study simple grating structures, such as one-layer gratings, one-whole gratings. In this paper, RCWA is expanded to solve Sandwich gratings (SG), which is composed of two identical planar dielectric gratings adjoined by thin metallic or dielectric film. The electromagnetic analytic expressions for each layer of SG structure are given and rigorous coupled-wave equations are deduced. The numerical investigations for the diffraction spectra of SG by our theoretical and computer programs are in good agreement with the results of classical RCWA in the condition when a Sandwish grating is simplified to a classical one-layer grating. The calculations by our programs of another condition when a Sandwish grating is degenerated to a classical single planar structure also conform to the results of classical electromagnetic theory. The research results above indicate that the extended theoretical formula has backwards compatibility and is self-consistent with the classical theory.

CONTINUOUS TIME RANDOM WALKS ON FRACTALS:RIGOROUS RESULTS

Continuous time random walk on fractals is studied.Asymptotic forms of<r^(2)(t)>,S(t)and P(t)are obtained rigorously by the generalized Blackwell theorem,where<r^(2)(t)>is the mean-square displacement,S(t)the number of distinct sites visited in time t,and P(t)the probability of return at time t.The spatial disorder turns out to be predominant for long time.

Application of rigorous coupled-wave theory on quality analysis of natural jadeite

In order to make more available methods for natural jadeite quality evaluation,this study applied rigorous coupled wave theory to calculate and simulate the reflection characteristics of various natural jadeites,and establish evaluation standard based on the relationship between refractive index and reflectivity and responses of reflection efficiency to refractive index,grating thickness and incident angles,etc.The results suggest that reflection efficiency varies significantly as a function of the natural jadeite quality,which can provide a new method to evaluate natural jadeite.

Area inside a Circle: Intuitive and Rigorous Proofs

In this article I conduct a short review of the proofs of the area inside a circle. These include intuitive as well as rigorous analytic proofs. This discussion is important not just from mathematical view point but also because pedagogically the calculus books still use circular reasoning today to prove the area inside a circle (also that of an ellipse) on this important historical topic, first illustrated by Archimedes. I offer an innovative approach through the introduction of a theorem, which will lead to proving the area inside a circle avoiding circular argumentation.

The rigorous adjustment of the global mean sea level budget during 2005-2015

Global mean sea level budget is rigorously adjusted during the period 2005-2015.The emphasis is to provide the best estimates for the linear rates of changes(trends)of the global mean sea level budget components during this period subject to the constraint:Earth’s hydrosphere conserves water.The newly simultaneously adjusted trends of the budget components suggest a larger correction for the global mean sea level trend implicated by the other budget components’trends under the budget constraint.The simultaneous estimation of the linear trends of the budget components subject to the constraint for closure improves their uncertainties and enables a holistic assessment of the global mean sea budget,which has implications for future sea level science studies,including the future Intergovernmental Panel on Climate Change(IPCC)Assessment Reports,and the US Climate Assessment Reports.

Re ned rigorous perturbation bounds for the SR decomposition

In this article,some new rigorous perturbation bounds for the SR decomposition un-der normwise or componentwise perturbations for a given matrix are derived.Also,the explicit expressions for the mixed and componentwise condition numbers are presented by utilizing the block matrix-vector equation approach.Hypothetical and trial results demonstrate that these new bounds are constantly more tightly than the comparing ones in the literature.

An Alternative Way to Mapping Cone: The Algebraic Topology of the Pinched Tensor

In this research, we explore the properties and applications of the mapping cone and its variant, the pinched mapping cone. The mapping cone is a construction that arises naturally in algebraic topology and is used to study the homotopy type of spaces. It has several key properties, including its homotopy equivalence to the cofiber of a continuous map, and its ability to compute homotopy groups using the long exact sequence associated with the cofiber. We also provide an overview of the properties and applications of the mapping cone and the pinched mapping cone in algebraic topology. This work highlights the importance of these constructions in the study of homotopy theory and the calculation of homotopy groups. The study also points to the potential for further research in this area which includes the study of higher homotopy groups and the applications of these constructions to other areas of mathematics.

A novel seed cone of Pinus from the Miocene of coastal Southeast China indicates kinship with Southeast Asian pines

Pinus is an economically and ecologically important genus whose members are dominant components globally in low-latitude mountainous and mid-latitude temperate forests.Pinus species richness is currently concentrated in subtropical mid-low latitudes of the Northern Hemisphere,differing from the latitudinal diversity gradient mostly recognized in woody angiosperms.How the present pattern was developing in Earth's past is still poorly studied,particularly in eastern Asia.Here,a new fossil species,Pinus shengxianica sp.nov.is described based on a fossil seed cone from the Late Miocene Shengxian Formation in Zhejiang,southeast China.A co-occurring cone is recognized as a known fossil species,Pinus speciosa Li.Extensive comparison of extant and fossil members of Pinus suggests P.shengxianica shares a striking cone similarity to Pinus merkusii and Pinus latteri(subsection Pinus)from tropical Southeast Asia in having annular bulges around the umbo on the apophysis.The morphological resemblance indicates these two extant low-latitude pines probably possess a close affinity with the present newly-discovered P.shengxianica and originated from East Asian mid-low latitude ancestors during this generic re-diversification in the Miocene.This scenario is consistent with the evolutionary trajectory reflected by the pine fossil history and molecular data,marking the Miocene as a key period for the origin and evolution of most extant pines globally.The co-occurrences of diverse conifers and broadleaved angiosperms preferring diverse niches demonstrate Late Miocene eastern Zhejiang was one of the hot spots for coniferophyte diversity and hosted a needled-broadleaved mixed forest with complex vegetation structure and an altitudinal zonation.

Transcriptome Analysis of Auxin Drives Cone Size Regulation in Fokienia hodginsii

As the reproductive organ of the endangered species Fokienia hodginsii,the size of the cones is a constraint on the reproductive renewal of the population.In this study,the molecular basis of the influence of cone size on F.hodginsii was elucidated by comparing the phenotype,biochemistry,and transcriptome of two cultivars of F.hodginsii(‘FJ431’and‘FJ415’).The two cultivars differed significantly in cone size,with FJ431 having a significantly larger cone size and weight than FJ415,1.32 and 1.90 times that of FJ415,respectively.RNA-Seq analysis of both cultivars retrieved 75,940 genes whose approximate functions were classified as the pathway of response to endogenous stimulus and response to hormone and showed significant differences in the auxin-activated signaling pathway,particularly the MAPK signaling pathway-plant.Furthermore,the endogenous IAA content was significantly higher in FJ431 than in FJ415,and 1.58 and 1.29 times more IAA was present in immature and mature cones,respectively.Moreover,exogenous IAA treatment significantly induced the expression of the MAPK pathway-related gene TRINITY_DN10564_c0_g1 and significantly inhibited the expression of the MAPK pathwayrelated gene TRINITY_DN17056_c0_g1.Our work suggests that IAA can affect the cone size of F.hodginsii,most probably through the MAPK pathway.This has high theoretical and practical significance for the improvement of genetic breeding and the further cultivation of quality germplasm resources of F.hodginsii.

Technique for Estimating the Cone Bearing Smoothing Parameters

Cone penetration testing (CPT) is an extensively utilized and cost effective tool for geotechnical site characterization. CPT consists of pushing at a constant rate an electronic cone into penetrable soils and recording the resistance to the cone tip (qc value). The measured qc values (after correction for the pore water pressure) are utilized to estimate soil type and associated soil properties based predominantly on empirical correlations. The most common cone tips have associated areas of 10 cm2 and 15 cm2. Investigators also utilized significantly larger cone tips (33 cm2 and 40 cm2) so that gravelly soils can be penetrated. Small cone tips (2 cm2 and 5 cm2) are utilized for shallow soil investigations. The cone tip resistance measured at a particular depth is affected by the values above and below the depth of interest which results in a smoothing or blurring of the true bearing values. Extensive work has been carried out in mathematically modelling the smoothing function which results in the blurred cone bearing measurements. This paper outlines a technique which facilitates estimating the dominant parameters of the cone smoothing function from processing real cone bearing data sets. This cone calibration technique is referred to as the so-called CPSPE algorithm. The mathematical details of the CPSPE algorithm are outlined in this paper along with the results from a challenging test bed simulation.

健全全面从严治党体系的历史逻辑与现实路径

深入学习研究党的二十大报告提出的“健全全面从严治党体系”的新课题,需要从把握历史逻辑、梳理丰富成果和探索现实路径等维度,着力阐明我们党在加强自身建设的历史进程中始终坚持推进伟大工程与坚持管党治党方针并举,把党的建设作为一大法宝,以着力加强党的建设为党领导中国革命、建设和改革不断走向胜利所发挥的重要政治保证作用。从这个历史逻辑中,可以得出只有始终坚持党的领导,坚持全面从严治党,才能确保党永远不变质、不变色、不变味,始终成为强国复兴伟业的坚强领导核心的启示。新时代十年,我们党把加强党的领导作为全面从严治党的核心,把全面从严治党作为党的建设鲜明主题,不断深化对自我革命规律的认识,把全面从严治党贯穿于党的建设新布局,坚持以政治建党为统领,以思想建党凝心铸魂,以组织建党造形,以制度治党为保障,以正风、肃纪与反腐为党心民心所向,初步构建起全面从严治党体系。要把健全全面从严治党体系这个新时代加强党的建设的重大举措、重大任务落实好,必须深化对“坚持内容上全涵盖、对象上全覆盖、责任上全链条、制度上全贯通”的理解和把握,着力在党的建设各个方面内容上全涵盖,在管全党和治全党上全覆盖,在党的各级组织肩负主体责任、各级纪委承担监督责任上全链条,在把制度建设落实到全面从严治党全过程与各层级上全贯通,对健全全面从严治党体系的现实路径指向作出探讨。

基于组合圆锥构型的水下声学定位系统布站优化

在水下目标定位中,布站构型的共面约束会导致目标单点定位的几何精度因子(GDOP)理论最小值不能达到。为改善水下布站的观测矩阵,将单圆锥扩展为组合圆锥构型布站模式。然而,传统的优化算法易陷入局部最优且存在收敛效率低等问题。针对以上问题,提出了一种改进的自适应粒子群算法。首先提出了一种有共面约束的水下声学定位系统组合圆锥构型,并证明了所提出的组合圆锥构型具有可叠加性、可旋转性以及GDOP旋转不变性;其次,针对布站优化指标单一的问题,构建了一种基于水下目标全局GDOP的布站优化准则;在此基础上提出了一种基于自适应粒子群的优化算法,并应用于组合圆锥构型下的水下声学定位系统布站优化。所提出的自适应粒子群算法能增强布站的全局最优性,提高算法收敛效率和水下目标的定位精度。

运动伪影校正技术改善肾动脉瘤锥形束CT图像质量

目的观察运动伪影校正技术(MFT)对于改善肾动脉瘤锥形束CT(CBCT)图像质量的价值。方法前瞻性选取20例拟接受经导管动脉栓塞治疗的肾动脉瘤患者,于CBCT引导下行肾动脉造影,采用MFT处理运动伪影;对MFT校正前、后图像质量进行主、客观评价,评估其显示肾动脉、载瘤动脉及靶区血管树情况,测算单位密度像素平均值(mean)、标准差(SD)及血管边缘锐化误差率。结果MFT校正后,肾动脉瘤最大密度投影图像显示肾动脉、重建CBCT图像显示载瘤动脉均明显优于校正前(P均<0.05);利用Flightplan for Liver软件可自动提取清晰的血管树;肾动脉瘤CBCT图像SD及血管边缘锐化误差率明显减小而mean明显增加(P均<0.05)。结论MFT可有效改善肾动脉瘤CBCT图像质量。

盾尾刷-油脂腔密封系统油脂逃逸规律研究

油脂逃逸导致油脂腔内压力降低,由此诱发的盾尾密封系统漏水、漏浆等安全责任事故屡屡发生。研制盾尾刷密封系统油脂逃逸的单元体试验装置,采用逐级加压将油脂注入盾尾密封系统油脂腔内,每级压力持续420 s,记录不同盾尾间隙及不同油脂锥入度工况下腔内的密封油脂开始逃逸时的油脂注入压力值、以及逃逸后储油装置中密封油脂的稳定损耗速率,最终获得了盾尾密封系统的油脂逃逸规律,并总结了盾尾油脂的逃逸模式。研究结果表明:1)油脂逃逸速率主要受油脂锥入度和油脂压力的影响,根据油脂逃逸规律变化曲线,油脂逃逸速率可以分为不逃逸、低速逃逸、快速逃逸3个阶段。油脂不逃逸至低速逃逸的油脂压力称为油脂逃逸压力,油脂低速逃逸与快速逃逸之间的油脂压力值为油脂腔内外压差控制值;2)建立了油脂逃逸速率和工程中油脂消耗量的对应关系,结合工程中每环盾尾油脂允许消耗量可实时判断盾尾刷密封性能;3)当油脂锥入度小于286.4(1/10 mm),盾构姿态与管片姿态控制良好时(盾尾平均间隙为75 mm),在水土压力及同步注浆压力基础上最大可增加0.3 MPa的油脂压力,提出的油脂腔内外压差控制值可指导实际工程盾尾油脂压力设定最大值;4)油脂逃逸模式可划分为无逃逸、非均匀逃逸和均匀逃逸3种模式并得出其发生条件。该研究对于指导盾尾密封性的设计及施工有着基础性的意义。

电缆终端应力锥错位缺陷对界面温度及应力分布的影响

电缆终端内部缺陷会造成终端内部电场分布不均、局部温度升高与应力分布变化,可能引发局部放电造成绝缘击穿。为研究终端应力锥错位缺陷对电缆界面温度及应力分布的影响,分别建立了电缆终端安装不足与安装过盈情况下的电缆终端错位缺陷模型,并进行电-热-力多物理场耦合仿真分析。结果表明:电缆终端绝缘屏蔽层截断处是电缆终端的薄弱部位,终端界面温度和界面压力都会在绝缘屏蔽层截断处发生突变。当电缆终端存在安装不足缺陷时,终端屏蔽层截断处与应力锥根部之间会出现电场升高区域,在安装位置为-7.5 mm时界面温度最高,绝缘界面压力值升高,且安装位置为-2.5mm时绝缘承受的压力值最大;当电缆终端存在安装过盈缺陷时,绝缘屏蔽层截断处会发生电场畸变,电场突变量随着偏移量的增加而增大,在安装位置为+5.0mm时绝缘界面压力值最大,且界面压力突变量增加发生畸变。因此,在电缆终端实际设计安装与运行维护中,额外注意应力锥错位缺陷对终端内部应力分布的影响十分必要。

不同成像参数下CBCT的成像质量分析

目的:主观评价和客观评估不同成像参数下CBCT的图像质量,分析图像质量的主观评价和客观评价间的关系。方法:分别采用6台不同品牌CBCT扫描仪〔3D Accuitomo(Morita)、i-CAT(Kavo)、5G(NewTom)、Smart3D(北京朗视)、DCT Pro(Vatech)、VGi(NewTom)〕,在各个品牌的典型曝光条件下(电压和电流强度不同)扫描空间分辨率模体和高仿真头模,7位医师对拍摄的CBCT图像进行主观评价打分,比较不同CBCT扫描仪的空间分辨率和对常见口腔解剖结构的可见性。客观评价指标采用各仪器所获的图像空间分辩率(LP/mm)。结果:7位医师的组内一致性和组间一致性均无显著性差异。主观评价New Tom 5G为2分,i-CAT为5分,其余4个品牌匀为4分,客观评价i-CAT的LP/mm为1.8,Smart3D为2.0,其余4个品牌为1.0~1.7。在相同管电流条件下,不同管电压的图像主观质量有显著性差异。在相同管电压条件下,不同管电流的图像主观质量有显著性差异。结论:图像质量的主客观评价具有一定的一致性,不同品牌之间的客观评价差异可能与电压、电流强度不同有关。

平行轴变齿厚齿轮接触应力解析计算

变齿厚齿轮作为一种新型齿轮,目前尚无成熟的接触应力理论和计算方法。为了从理论上计算变齿厚齿轮齿面上的最大接触应力,了解变齿厚齿轮在不同参数下接触应力的变化情况。文中在赫兹公式的基础上,考虑变齿厚齿轮的几何结构,确定了变齿厚齿轮重合度、曲率半径、法向载荷、接触线长、重合度系数和齿形角系数的计算方法。研究了不同节锥角、齿数、模数和压力角对变齿厚齿轮接触应力的影响,通过有限元分析验证了变齿厚齿轮接触应力理论计算公式的正确性。研究结果表明:推导出的变齿厚齿轮接触应力计算公式具有较高的精度,能够准确地反映齿面的真实接触应力值,为变齿厚齿轮的结构设计、强度校核等提供了一定的依据。