无限长圆管中任意轴对称体绕中心轴旋转的小Re数问题

本文以Sampson旋转子在圆管中反演得到的无穷级数作为基本奇点,对分布函数采用离散奇点线分布法和分段二次抛物分布法,解决了任意轴对称体在无限长圆管中绕中心轴旋转的Stokes流动问題。通过对长球的数值计算,比较了两种方法,结果表明分段二次抛物分布法各方面都优于离散法。此外,本文还研究球串在无穷长圆管中绕中心轴旋转的小Re数问题,第一次给出了每个球所受的阻力矩系数。     

Controllable Preparation of Nanosized LiMnPO4/C with Rod-Like Morphology by Hydrothermal Method with Excellent Electrochemical Performance

The nanosized rod-like LiMnPO₄/C cathode materials have successfully in situ synthesized on the surface of flaky structure MnPO₄ · H₂O self-sacrificing template by the hydrothermal method. The crystal microstructure, micro shape, and electrochemical parameters of LiMnPO₄/C are comprehensively studied by XRD, SEM, TEM, and electrochemical measurement methods. The physical and chemical properties analysis confirms that the vinyl acetate solution (VAc-H₂O) with a proper molar ratio is beneficial to generate orthorhombic olivine structure LiMnPO₄ with microporous structure and nanorod-shaped morphology. The electrochemical measurement results indicate that LMP-X1-AA sample delivers an initial discharge capacity of 148.1 mAh g⁻¹ at 0.05 C, the capacity retention rate still maintains at 89.2% after 200 cycles. As the discharge rate increases to 1 C, the discharge capacity still remains at 133.4 mAh g⁻¹. The results indicate that the synergistic effect of nanosized rod-like morphology and conductive carbon coating is beneficial to improving the lithium ions diffusivity and electrochemical properties of LiMnPO₄ materials.     

Inversion of Robin coefficient by a spectral stochastic finite element approach

This paper investigates a variational approach to the nonlinear stochastic inverse problem of probabilistically calibrating the Robin coefficient from boundary measurements for the steady-state heat conduction. The problem is formulated into an optimization problem, and mathematical properties relevant to its numerical computations are investigated. The spectral stochastic finite element method using polynomial chaos is utilized for the discretization of the optimization problem, and its convergence is analyzed. The nonlinear conjugate gradient method is derived for the optimization system. Numerical results for several two-dimensional problems are presented to illustrate the accuracy and efficiency of the stochastic finite element method.     

A new tuning procedure for the DTL RF field pattern

The DTL tank is a multi-cell cavity.In a fabricated tank,the measured average axial field E0 for each cell may obviously deviate from the designed value.It is generally thought the deviation is due to the errors in fabrication and assembly.But it is not always true.In this paper,it is shown that the deviation may already exist before fabrication in some cases.It is partly due to the imperfection of the current design procedures.A new design method is introduced to reduce the deviation in the design stage.     

Evidences dominating the formation of ZnO nanostructures via in-situ study in an environmental scanning electron microscope

In order to well understand the growth mechanism of the diverse morphology of the ZnO nanostructures, in situ analysis of the formation of different ZnO nanostructures, such as nanowires, nanocombs, and nanosheets, has been conducted in an environmental scanning electron microscope (ESEM). It is found that both nanocombs and nanosheets grew in two-stage heating processes on parent nanowires. The difference is that the nanocombs were synthesized in extremely high pressure of zinc vapor via a self-catalyzed vapor-liquid-solid process, while the ZnO nanosheets were grown in relatively low pressure of zinc vapor. All the growth processes were revealed in real time imaging. It is demonstrated that the change in the growth environments can influence the thickness of the ZnO polycrystalline surface of the zinc powder, which alters the pressure of the zinc vapor and in turn determines the morphology of the final nanostructures.     

Structural and magnetic ordering in the VxNb1+yS2 system

The influence of composition on the structural ordering and magnetism in the V_xNb_1+yS₂ system has been investigated by X-ray diffraction and magnetic measurements. Stoichiometric V_1/3NbS₂ did not exhibit the structural ordering of vanadium between the NbS₂ layers. In the ordered structure, the vanadium composition deviated from the ideal value of to both higher and lower values, while the niobium composition was in the range of 0.05?y?0.18. Excess niobium, y>0, is thought to play an essential role in the structural ordering in this system. For samples with excess niobium and ordered structures, a magnetic transition was observed at 20-50 K, depending on the composition. The spontaneous magnetization of 3-5×10⁻³ μ_B/V atom is thought to be intrinsic to this system. The magnetization curves consisted of a constant and a proportional parts of the magnetic field, which correspond to the spontaneous magnetization and high-field susceptibility, respectively. The magnetization curves and the temperature dependencies of the high-field susceptibility were quite similar to those of the canted antiferromagnetic NiS₂. A correlation between the structural and magnetic ordering is suggested.     

High power single transverse mode operation of a tapered large-mode-area fiber laser

To get high output power with good beam quality, a tapered section is introduced to large-mode-area (LMA) Yb-doped fiber laser. Output characteristics of the fiber laser without tapered section and with tapered section are compared experimentally. When the launched pump power is 119.1 W, 77.9 W with M² 3.08 and 56.4 W with M² 1.14 can be obtained, respectively. The corresponding slope efficiencies are 71.8% and 54.1%, respectively. Although output power of the tapered fiber laser has 30.6% penalty, brightness of it is as much as 5.28 times of the fiber laser without tapered section. Moreover, spectra of them are measured. It is found that tapered section makes lasing wavelength of the fiber laser shorter.     

双暴露面的阶段充填体孤柱需求强度模型及影响因素

阶段充填体孤柱侧壁均暴露、处于双轴受力状态,易发生剪切破坏.为合理确定其所需强度值,根据Terzaghi松散地压理论和滑楔体极限平衡理论,建立了孤柱需求强度数学计算模型,分析了需求强度的影响因素.结果表明:阶段充填体孤柱需求强度值与采场埋深和结构参数呈正相关,与充填体内摩擦角、充填体-围岩接触面摩擦系数和摩擦角呈负相关.该研究成果对指导矿山充填配比设计、防止地表塌陷和环境保护等具有现实意义.