Robertson-Stiff流体在偏心环空中的流动

石油钻井和完井过程中,经常出现泥浆、水泥浆和完井液在偏心环空中的流动。Robertson-Stif流体在描述这些流体的流变性时有很高的精度。文中根据Robertson-Stif流体的流变方程和偏心环空环隙间距的几何关系,利用相似原理,求解了该流体在偏心环形空间中作层流轴向流动时适于工程应用的二元速度分布,以及平均流速、流量和压降的表达式。研究表明:液体在偏心环形空间流动时与在同心环空中流动的最大差异,在于流经偏心环空不同间隙处流速的较大差异。文中还把Robertson-Stif流体的计算结果与采用宾汉模式和幂律模式的计算结果进行了对比。     

非牛顿流体在环管内的不定常旋转流

本文研究幂律非牛顿流体在环管内的不定常旋转流。该方程是一非线性方程,在部分因子的稳态近似假设之下,方程被线性化,用Laplace积分变换法我们获得了问题的解。文中给出了几组解曲线,它反映了角向速度的时间演化规律与空间分布特征。另外我们专门研究了幂律指数对流场的影响,该参数的敏感性具有一定的数值界限。这一结果,在有关的工程设计中具有重要的意义。     

ON EQUIVALENTS OF THE RECIPROCAL THEOREM TO SUPERPOSITION PRINCIPLES

In this paper in the terms of theory we have proved that the reciprocal theorem isequivalent to the superposition principle of displacements and is equivalent to thesuperposition principle of reactive forces. These equivalents have important theoreticalvalues and practical values.At the same time we also point out that Castigliano’s displacement equation can beapplied to solve the interior displacement of the region of the deformable body too.     

Coupling Losses and Discrimination of Annular Waveguide Laser Resonators

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Coupling Losses and Discrimination of Annular Waveguide Laser Resonators

An approach of calculating the coupling losses in a coaxial (or annular) waveguide laser resonator is developed by which the computational time is considerably reduced. Computations of the coupling losses for some TE modes of an annular waveguide, as a function of mirror curvature and position, are presented in the limit of large mirror aperture. It is shown that there exist three special configurations to provide low coupling losses. The resonator properties are discussed. The calculating results are useful for design of annular waveguide laser resonators.     

环形叶栅中二次流与损失的数值模拟

1引言三维叶栅中的损失主要由叶型损失、端部损失及二次流损失等组成。而其中的二次流损失,由于在损失总量中往往占有很大的比重,且又强烈依赖于叶栅几何形状等本身的特点,因而十分受到关注。许多学者分别用计算或试验的方法来研究二次流动,已经做了大量的工作（如文献1～8）。然而,以往大部分的研究往往局限于直列叶栅,对沿径向非等截面的环形叶棚的详细研究甚少。本文基于非正交曲线坐标与非正交速度分量下完全守恒型的Navier－Stokes方程,采用时间推进法与Baldwin－Lomax湍流模型,数值求解环形叶栅内部的粘性流场,得到了十分…     

环形压气机叶棚内部分离流结构分析 第二部分:流道内分离流

1前言认识压气机叶栅内部分离流动的结构和特性,对于揭示压气机内复杂的流动机制、改善叶栅气动性能、减少流动损失和提高压气机喘振裕度具有重要意义山。本文采用激光片光层加示踪粒子流场显示技术,观察和摄取了环形压气机叶栅在约十14”大攻角下的内部流动图像;采用七孔气     

FORCE FIELDS ON INVISCID,SLENDER, ANNULAR LIQUID JETS

Regular perturbation expansions are used to analyse the fluid dynamics of unsteady, inviscid, slender, thin, incompressible (constant density), axisymmetric, upward and downward, annular liquid jets subjected to non-homogeneous, conservative body forces when both the annular jets are very thin and the gases enclosed by and surrounding the jet are dynamically passive. Both inertia- and capillarity-dominated annular jets are considered. It is shown that, for inertia-dominated jets, closure of the leading-order equations is achieved at second order in the perturbation parameter, which is the slenderness ratio, whereas closure is achieved at first order for capillarity-dominated jets. The steady leading-order equations are solved numerically by means of both an adaptive finite difference method which maps the curvilinear geometry of the jet onto a unit square and a fourth-order-accurate Runge–Kutta technique. It is shown that the fluid dynamics of steady, annular liquid jets is very sensitive to the Froude and Weber numbers and nozzle exit angle in the presence of non-homogeneous, conservative body forces. For upward jets with inwardly or axially directed velocities at the nozzle exit the effect of the non-homogeneous, conservative body forces is to increase the leading-order axial velocity component, decrease the jet's mean radius and move the stagnation point downstream. For downward jets with radially outward velocity at the nozzle exit the axial velocity component decreases monotonically as the magnitude of the non-homogeneous, conservative body forces is increased.     

A High‐Efficiency All‐Fiber Laser Operated in High‐Order Mode using Ring‐Core Yb‐Doped Fiber

An all‐fiber laser generating a cylindrical vector beam is proposed and demonstrated using a home‐made ring‐core Yb‐doped fiber (RC‐YDF). In the RC‐YDF, not only annular doping but also ring‐type beam pump is realized. This is believed to be the first report describing the realization of annular doping and ring‐type beam pump in active fiber simultaneously, which can enhance the efficiency for high‐order mode oscillation. This laser operates in the high‐order mode stably with a slope efficiency of as high as 55.7%. Cylindrical vector modes can be obtained easily through adjusting the polarization controller. This work may have great potential for providing high‐efficiency and high‐power cylindrical vector beam and vortex beam sources.     

Three-dimensional free vibration analysis of multi-directional functionally graded piezoelectric annular plates on elastic foundations via state space based differential quadrature method

The three-dimensional free vibration analysis of a multi-directional functionally graded piezoelectric(FGP) annular plate resting on two parameter(Pasternak)elastic foundations is investigated under different boundary conditions. The material properties are assumed to vary continuously along the radial and thickness directions and have exponent-law distribution. A semi-analytical approach named the state space based differential quadrature method(SSDQM) is used to provide an analytical solution along the thickness using the state space method(SSM) and an approximate solution along the radial direction using the one-dimensional differential quadrature method(DQM).The influence of the Winkler and shear stiffness of the foundation, the material property graded variations, and the circumferential wave number on the non-dimensional natural frequency of multi-directional FGP annular plates is studied.