纳米流体的激光自混频功率谱密度研究

纳米流体运动特性和颗粒参数的测量对纳米流体换热效率的研究具有重要意义。本文将激光自混频技术应用于纳米流体测量中,给出了自混频信号功率谱密度函数的表达式并实验研究其变化规律。研究结果表明,功率谱密度展宽具有佛克脱函数的形式。激光垂直入射流动样品池时,功率谱密度得到展宽,展宽程度随着定向流速的增大或束腰半径的减小而增大。激光倾斜入射流动样品池时,功率谱密度在展宽的同时还伴随多普勒峰移,其位置随着定向流速的增大或散射矢量与定向流速之夹角的减小而迁移至高频。     

无旋性前进重力波传递在均匀流中的Lagrange解析解与试验验证Ⅰ.理论解析解

对于三维空间等深水中,无旋性自由表面周期性规则前进重力波传递在均匀流中的波流场,依质量守恒取一波长的流体质点的运动位移的波长平均高程,所得其标注参数恰为其在原静止水中的位置下,完全以Lagrange方式的参数控制式,解出此波流场至第三阶的全Lagrange形式解且得到检核验证;其中波流交互作用效应存在于Lagrange流速势中,使得波流场中的压力不受均匀流的影响.而Euler形式解所无法描述的流场特性,包括大于前进波周期的流体质点的运动周期,与其受前进波引起的质量传输速度、它们间的关系、及流体质点对其运动周期平均的高程与成因等,都说明是随流体质点所在的高程向下做指数函数样递减;而流体质点的三维空间螺旋曲线式的运动轨迹与烟线,其随均匀流的流向流速而变化的情况,例如其在均匀流于前进波波向有同向的流速分量时,是受流体质点恰在波谷断面处时的流速大小而变的形式,与其在均匀流于前进波波向有反向的流速分量时,则受流体质点恰在波峰断面处时的流速大小而变的形式,有很大不同的倒反形式甚至以封闭曲线形式呈现.最后,说明波流场变成稳定性运动流场时的特性,并证实其在无流时退化成纯前进波的情况.     

具有基本流动的两层流体界面和表面孤波

本文研究了具有基本流动的两层流体浅水孤波,利用多重尺度摄动方法求得了两流体界面和表面波所满足的KdV方程和相应单孤波解;对所得结果进行了讨论,并将其应用到海洋温跃层和有剪切流动的均匀密度流体两种常见情形。 关键词：     

三层密度分层流体毛细重力波二阶Stokes波解

以小振幅波理论为基础,利用摄动方法研究了三层密度分层流体的毛细重力波,给出了三层成层状态下各层流体速度势的二阶渐近解及毛细重力波波面位移的二阶Stokes波解.结果表明:一阶解及二阶解除了依赖于各层流体的厚度及密度,与表面张力也有很重要的关系.     

有流存在时三层流体界面波的二阶Stokes波解

以小振幅波理论为基础，利用摄动方法研究了有背景流场存在时密度三层成层状态下的界面内波，得到了各层流体速度势的二阶渐近解及界面内波波面位移的二阶Stokes波解，并讨论了界面波的Kelvin-Helmholtz不稳定性.结果表明：有流存在的情况下三层密度成层流体界面内波的一阶渐近解(线性波解)、频散关系及二阶渐近解不仅依赖于各层流体的厚度和密度，也依赖于各层流体的背景流场；界面内波波面位移的二阶Stokes波解不仅描述了界面波之间的二阶非线性相互作用，也描述了背景流与界面波之间的二阶非线性相互作用；当每层流 关键词： 界面波 均匀流 二阶Stokes波解 Kelvin-Helmholtz不稳定性     

超临界流体水平管换热特性可视化研究

为研究超临界压力下水平管径向截面的二次流现象,分析其对流体换热能力的影响机理,优化相关换热器设计,本文采用PIV实验方法,首先分析了水与FC-72物性差别对径向截面二次流流场的影响;然后重点研究了热流密度、质量流速工况参数变化对超临界压力下FC-72的二次流流场的影响规律。实验结果表明:相同工况下低导热系数,高体积膨胀率的工质会增强截面的二次流强度;随着热流密度增加,截面二次流流速增加,二次流涡逐步向截面底部移动;质量流速的提高会削弱加热管顶部流体温度分层的影响,并促进了中心与边壁流体间的掺混,有利于流体换热能力的提高;此外,当截面顶部流体达到临界点,二次流涡与常温工况相比远离壁面并向截面中心靠拢。     

低β尘埃等离子体中尘埃-动力学阿尔文孤立波

用三成分的流体模型,研究了尘埃等离子体中的尘埃－动力阿尔文波。导出了描述离子密度变化的非线性的能量积分方程。在小振幅极限下,得到密度的孤立子解,对Ｓａｇｄｅｅｖ势进行了数值研究。结果表明,在不同的参数区域,可以激发具有密度坑或密度隆起的孤立波;随着尘埃密度的增加,密度坑变浅,密度隆起增大。     

无旋性前进重力波传递在均匀流中的Lagrange解析解与试验验证 Ⅱ.试验验证

针对文献[1]中非旋性自由表面周期性规则前进重力波传递在均匀流中的理论解析,本文以与前进波波向同向与反向的均匀流两种特例情况进行试验测量,所得的波形曲线、流速分布、流体质点的运动轨迹与运动周期及其质量传输速率与Lagrange平均高程等特性,均与文献[1]中全以Lagrange方式所得的三阶解结果符合得很好.这证实本研究取定的标注流体质点的参数,正好为其在原静止水中的位置坐标值.同时亦证实波流场中由流体质点所构成的波形曲线,其波长皆同于(纯)前进波者,而其传播速度为(纯)前进波波速与均匀流流速之和是具Doppler效应的;而流体质点的运动周期与其运动周期平均高程,及其质量传输速率扣掉均匀流流速等,都与(纯)前进波的相符.另外,亦揭示出流体质点的运动轨迹,在前进波波向与均匀流同向中,当流体质点在波谷断面处时沿前进波波向的流速分量为反向、零与正向时,则其形状分别为朝波向前进的扁长辐状余摆线,在波谷断面处成尖点朝下的滚轮状线与短辐形余摆线;而在前进波波向与均匀流反向中,当流体质点的质量传输速率为沿前进波波向为正向与零时,则其形状分别为朝波向前进的缩短的扁长辐形余摆线与长轴在前进波波向上的椭圆形封闭曲线;而当流体质点的质量传输速率为反前进波波向,但质点在波峰断面处时沿前进波波向的流速分量分别为正向、零与反向时,则其形状分别为反波向前进的倒扁长辐形余摆线,在波峰断面处成尖点朝上的倒滚轮状线与倒短辐形余摆线.     

无旋性前进重力波传递在均匀流中的Lagrangen解析解与试验验证Ⅱ.试验验证

针对文献[1]中的无旋性自由表面周期性规则前进重力波传递在均匀流中,本文以与前进波波向同向与反向的均匀流两种特例情况,进行试验测量,所得的波形曲线、流速分布、流体质点的运动轨迹与运动周期及其质量传输速率与Lagrange平均高程等特性,均与文献[1]中全以Lagrange方式所得的三阶解结果符合得很好.这证实本研究取定的标注流体质点的参数,正好为其在原静止水中的位置坐标值.同时亦证实波流场中由流体质点所构成的波形曲线,其波长皆同于(纯)前进波,而其传播速度为(纯)前进波波速与均匀流流速之和是具Doppler效应的;而流体质点的运动周期与其运动周期平均高程、及其质量传输速率扣掉均匀流流速等,都与(纯)前进波的相符.另外,亦揭示出流体质点的运动轨迹,在前进波波向与均匀流同向中,当流体质点在波谷断面处时沿前进波波向的流速分量为反向、零与正向时,则其形状分别为朝波向前进的扁长辐状余摆线、在波谷断面处成尖点朝下的滚轮状线与短辐形余摆线;而在前进波波向与均匀流反向中,当流体质点的质量传输速率为沿前进波波向为正向与零时,则其形状分别为朝波向前进的缩短的扁长辐形余摆线与长轴在前进波波向上椭圆形封闭曲线;而当流体质点的质量传输速率为反前进波波向,但质点在波峰断面处时沿前进波波向的流速分量分别为正向、零与反向时,则其形状分别为反波向前进的倒扁长辐形余摆线、在波峰断面处成尖点朝上的倒滚轮状线与倒短辐形余摆线.     

纳米通道滑移流动的分子动力学模拟研究

本文采用非平衡分子动力学方法对平板纳米通道滑移流动进行了非平衡分子动力学模拟,获得了不同壁面势能和不同温度时流体的速度分布及密度分布。研究结果表明滑移速度在很大程度上决定于流体温度和壁面吸引力作用强度的大小。由于不同壁面吸引力时流体的密度分布受温度的影响规律不同,使得不同壁面吸引力时流体的滑移速度受温度影响规律也不一致。而且,流体结构受壁面流速的影响要受到壁面势能的制约。     

Anfachung und Dämpfung magneto-akustischer Wellen in MHD-Kanälen und ihr Einfluß auf die mittlere Stromdichte und die mittlere Hall-Feldstärke

Magneto-acoustic waves generated by fluctuations in the Hall parameter, the electric conductivity and the stream velocity are theoretically investigated in a weakly ionized plasma streaming across a strong external magnetic field and bearing a current flowing perpendicular to both magnetic field and stream velocity. The investigations hold for seeded rare gas plasmas at any degree of seed ionization but are resticted to waves propagating in parallel or antiparallel direction to the current density vector and in parallel or antiparallel direction to the stream velocity vector and to wave lengths which are small in comparsion to the interaction length which occurs as a characteristic wave length. The influence of these waves on the mean current density and the mean Hall field intensity is calculated in case of small amplitudes and low degree of seed ionization up to second order terms. Omitting Ohmic heating the dispersion equation can be solved exactly. A phase shift exists between the fluctuations in gas density and gas velocity. The phase velocity and the amplification rate depend on the wave length. Typical results are represented in a diagram. For both types of waves the phase velocity slightly rises with increasing wave length, while the amplification rate decreases. Waves propagating in opposite direction to the current density vector are amplified, if the electron velocity exceeds a critical value. They reduce the mean current density and the mean Hall field intensity. Waves propagating in opposite direction to the stream velocity vector are also amplified except for very high degrees of seed ionization. The threshold current density is greater than that for the waves of the first type approximately by the Hall parameter as factor. At extremely high degree of seed ionization the phase velocity is directed opposite to the direction occuring at weakly ionized seed. Waves of the second type decrease the mean current density, but increase the mean Hall field intensity.     

Über Gruppengeschwindigkeit,Energiestromdichte und Energiedichte in der Röntgen- bzw. Lichtoptik der Kristalle

Studying the propagation of X-rays (or visible light) in perfect crystals, the wellknown expression for the group velocity vector can be used and interpreted in terms of the dispersion (or index) surface. The group velocity vector, being normal to the dispersion surface in the point representing the appropriate wavefield, is shown to be proportional to the average of the Poynting vector observable macroscopically. The factor occuring in this relation is the averaged energy density of the electroagnetic field, which differs from the usual expression by a term proportional ??/?ν as a consequence of the frequency dependence assumed for the dielectric tensor ?.     

同振球型矢量水听器声波接收理论研究

对同振球型矢量水听器声压和质点振速的声波接收理论进行了研究。以同振球型振速水听器测量原理为基础,推导了自由运动刚性球体和弹性球体的声波接收响应数学表达式,分析了振速水听器几何尺寸、平均密度与其频响特性曲线之间的关系;另外,根据球面接收器的声波接收理论,推导了矢量水听器声压接收响应数学表达式,通过理论分析和数值计算,研究了振速水听器表面上的声压分布规律以及声压水听器的声波接收压力系数与其接收面的大小、质点振速水听器的半径、布放的位置和半径等参数之间的关系;从理论上建立了矢量水听器声波接收理论模型和分析方法,为矢量水听器的设计和研制提供了理论依据。     

Velocity and density field measurements by digital speckle method

Velocity and density field measurements based on image processing of laser speckle or pseudo-speckle pattern have been developed. Laser speckle velocimetry (LSV) or white-light speckle velocimetry (WSV), which corresponds to a high-image-density PIV, gives a local velocity vector map or whole field velocity contour map of a two-dimensional flow field seeded densely with fine particles. This technique has an advantage in high-speed flow measurement without limit of frame rate except for directional ambiguity. New techniques of laser speckle photography and laser speckle interferometry by means of digital image processing have been developed recently for density field measurements. In laser speckle photography, a local density gradient vector map is reconstructed by cross-correlation evaluation between the reference and the object speckle patterns. In laser speckle interferometry, an equi-density contour map is reconstructed by image subtraction between the reference and the object interferometric speckle patterns.     

Energy Characteristics of Wave Fields Radiated from Elementary Oscillators in a Nondispersive Medium Moving with Subluminal Velocity

We study the energy characteristics of fields radiated from electric, magnetic, and toroidal dipoles in a nondispersive medium moving with velocity lower than the speed of light in this medium. The angular dependences of Abraham's energy-flux density of electromagnetic field are analyzed. In particular, it is shown that if the medium velocity is high enough, then the radial component of the vector of energy-flux density is negative in a certain angular range. Expressions for the electromagnetic energy flux through a sphere of large radius are obtained. It is shown that if the velocity of a moving medium is high enough, then the energy flux is negative and its absolute value can exceed the energy losses of sources.     

Particle pairing using genetic algorithms for PIV

This paper presents a new particle pairing algorithm using “Genetic Algorithms” for DPIV (Digital Particle Image Velocimetry), which are searching algorithms for obtaining an optimal solution based on the mechanism of evolution. The particle pairing between two tracer images with a constant time interval is needed to obtain a velocity vector field. Since the algorithm adopts a fitness function which totally evaluates the similarity between respective small particle patterns in the two tracer images over the field, it promises to give a more correct velocity vector distribution than the conventional PTV (Particle Tracking Velocimetry) which identifies each particle based on its local information. In addition, a particle pattern matching for the similarity is performed after correcting fluid rotation. It therefore is robust against a high particle density and an increase in the time interval. The algorithm is applied to the PIV standard images distributed through the Internet (http://www.vsj.or.jp/piv). It gives a correct velocity vector distribution as a result even if a pair of the successive images has a large time interval.     

弹性元件对同振球型振速水听器的影响

本文在同振球型振速水听器测量原理的基础上，研究了弹性元件对同振球型振速水听器的影响。理论分析结果表明，其影响不仪与弹性元件的弹性有关，也与水听器的悬置空间大小、直径和密度有关。这一结果对于矢量水听器在工程中的应用具有参考价值。     

Velocity vorticity vector behavior in supersonic flows behind discontinuity surfaces

The behavior of the velocity vorticity vector on a discontinuity surface arising in the supersonic non-uniform flow of combustible gas around a body with the formation of a shock or detonation wave is studied. The free stream is generally vortical and has a given distribution of parameters. The formulas are obtained for the vorticity vector components in a special coordinate system related to the wave. It is shown that in this case the vorticity vector normal to the wave remains continuous across the discontinuity surface, and in the case of axisymmetric flows, also the quantity remains continuous, which is equal to the ratio of the tangent vorticity component to density, although the quantities themselves taken separately undergo a discontinuity. The work was financially supported by the Russian Foundation for Basic Research (Project 05-01-00004) and by the Far-Eastern Branch of RAS (Project 2-C0-009).     

浅海声场垂直振速与水平振速相关特性及应用

基于矢量水听器记录的质点振速信号,研究了浅海声场垂直振速与水平振速的相关特性,理论与仿真结果表明记录的垂直振速与水平振速的相关系数是矢量水听器俯仰角度的函数,矢量水听器不发生俯仰时二者的相关系数约为零。基于上述特点,提出了一种利用矢量水听器记录信号自适应校正矢量水听器俯仰姿态的方法,实验结果表明,该方法能有效校正矢量水听器俯仰姿态。