强流脉冲束在静电透镜中非线性传输的Lie代数分析

用Lie代数方法分析了相对论强流脉冲束在轴对称静电透镜中的非线性传输,得到粒子在6维相空间(x,x′,y,y′,τ,pτ)中的2级近似轨迹.在分析中,把静电透镜的场作用区分成若干小段,每个小段看作匀加速段,而每个分点看作薄透镜,依次施加Lie变换,就得到轨迹的各级近似.这里,假定粒子在相空间中为K-V分布.     

六极磁铁的三级Lie映射

用Lie代数方法分析了相对论带电粒子在六极磁铁中的运动,得到在六维相空间中粒子的三级近似轨迹.     

圆柱形磁铁在金属管中的下落时间

用磁荷法计算磁铁产生磁场分布,进而计算圆柱形磁铁在金属管中的下落时间.实验测量圆柱形磁铁在金属管中的下落时间,得到与理论计算相符的结果.     

三级近似束流光学计算程序

为了精确计算束流在离子光学系统中的传输,用Visual FORTRAN 6.5语言编写了一个计算程序,长约13000行. 此程序可以计算由三圆筒单透镜、三膜片单透镜、双元筒透镜、均匀场静电加速管、磁四极透镜、六极磁铁、静电四极透镜、偏转磁铁、螺线管透镜、ExB~正交电磁场分析器、静电偏转器、漂浮管、QWR(Quarter Wave Resonators)和SLR(Split Loop Resonators)射频加速元件等元件任意组成的离子光学系统. 粒子轨迹的计算可精确到三级近似. 粒子的分布类型也可以有多种选择. 程序具有最优化计算功能,即可以自动调整元件的参数,以实现所需要的光学条件. 各元件之后的横向和纵向相图以及系统的束流包络线以图形方式显示在屏幕上.     

静电四极透镜中非线性传输的Lie代数分析

用Lie代数方法分析了带电粒子在静电四极透镜中的非线性传输,结果为三级近似.分析过程为:首先建立粒子在静电四极透镜中的运动的Hamilton函数,然后将Hamilton函数在平衡轨道附近展开成幂级数,最后计算粒子的非线性轨迹到三级近似.根据需要,还可以扩展到更高级近似解.     

电磁交叉场分析器中非线性传输的Lie代数分析

用李代数方法分分析了带电粒子在电磁交叉场分析器中的非线性传输,结果近似到三级近似.分析过程为:首先建立粒子在电磁交叉场分析器中的运动的Hamilton函数,然后将Hamilton函数在平衡轨道附近展开成幂级数,最后计算粒子的非线性轨迹到三级近似.根据需要,还可以推导出更高级的近似解.     

三维曲光轴坐标下的旁轴电子光学

从费马原理出发，应用微分几何的曲线坐标定义，给出了三维曲光轴坐标中电子在旁轴下的一级和二级近似轨迹方程式.借助于对电场和磁场的数值计算，可以分析电磁场分布和电子运动轨迹复杂情况下的电子光学性质.给出了对一种电子束扫描式扁平显像管电子光学系统的计算结果，并给以定性说明. 关键词：     

椭圆柱形光学黑洞红外辐射特性分析

本文主要采用时域有限差分(FDTD)方法计算了二维椭圆柱形光学黑洞的红外辐射特性。并且采用几何光学近似(GOA)对椭圆柱形的光学黑洞的光线入射轨迹进行分析和比较。研究结果表明,FDTD计算的光学黑洞内的能流分布结果与GOA计算的光学黑洞内的光线入射轨迹结果相吻合,椭圆柱形光学黑洞的红外辐射特性主要受折射率梯度和入射波长的影响。     

静电分析器非线性轨迹的Lie代数分析

介绍了Lie代数的方法，用Lie代数方法分析了静电分析器对束流传输过程的非线性影响，其计算结果分析到三级近似. 首先给出了静电分析器的哈密顿函数，然后将哈密顿函数展开为齐次多项式的和，再求Lie映射，最后得到粒子轨迹各级近似解.     

轴对称静电场中粒子非线性轨道的Lie代数

用Lie代数方法分析了相对论脉冲束在轴对称静电场中的非线性传输得到粒子在六维相空间（x,x′,y,y′,τ,pτ）中的三级近似轨迹，在分析中，以静电加速管为例，把静电加速管分成三个单元，即入口膜片透镜－匀加速场－出口膜片透镜，对每个单元施加Lie变换，从而得到轨迹的各级近似，此方法可以推广到一般的轴对称静电场。     

稠密气固流动中颗粒聚集的定量评价

本文提出了定量评价稠密两相流动中颗粒聚集现象的参数和方法:用碰撞频率的大小估计颗粒聚集的强弱;用颗粒体积分数的标准偏差评价流场中颗粒分布的不均匀程度;用颗粒分布的相关系数衡量流动的相似性;用颗粒体积分数的概率分布和颗粒分布曲线描述流场细节;用高密集区域颗粒数目比例和稀疏区域面积比例来反映流场的特征部分。     

Computing Particle Surface Areas and Contact Areas from Three‐Dimensional Tomography Data of Particulate Materials

Microtomography is an emerging technique for particle and particulate‐materials characterization. To use this technology effectively, robust and accurate computational algorithms are needed to compute relevant particle properties, including particle surface area and particle‐particle contact area. However, the most accurate algorithms that have been developed for computing the exposed (void/solid) surface area in a microtomography image cannot be used directly for computing surface areas or particle‐particle contact areas for individual particles in a dense packing. This paper presents an algorithm for extracting particle contact areas from a digitized, segmented image of a packed granular material, which in turn can be used to find individual particle surface areas (even if the complete surfaces are not exposed because of contacts in the packing). Results show that small errors in the binary surface‐area computations are magnified in the course of determining particle contact areas; the total error in the computation depends mainly on the size of the contact area in voxel units.     

气粒两相流传热问题的光滑离散颗粒流体动力学方法数值模拟

在气粒两相流动问题中,颗粒间以及气体与颗粒间的传热问题不可忽略.光滑离散颗粒流体动力学(SDPH)模型作为一种新的求解气粒两相流动问题的方法,已经成功应用于模拟风沙运动等问题.在此基础上,提出了SDPH方法的热传导模型,模拟了气粒两相流动问题中的热传导过程以及颗粒蒸发过程.首先引入各相的能量方程,利用有限差分与光滑粒子流体动力学一阶导数相结合的方法,处理各相内部热传导项中的二阶导数问题,基于气粒两相间温度差及对流换热系数计算颗粒与气体间的热传导量,推导得到了含热传导模型的气粒两相流SDPH计算方程组,模拟计算了圆盘形颗粒团算例及鼓泡流化床内部热传导算例,并与双流体模型计算结果进行对比,结果基本符合;其次利用离散液滴模型中的颗粒蒸发传质传热定律计算颗粒的蒸发过程,数值模拟了颗粒射流蒸发过程,并与离散颗粒模型结果进行对比,两者符合得较好,验证了该方法的准确性及实用性.     

Transmission Fluctuation Spectrometry in Concentrated Suspensions Part One: Effects of the Monolayer Structure

The theory of transmission fluctuation spectrometry (TFS) was recently developed for particle size analysis in dilute flowing particle suspensions, whereby the statistical transmission fluctuations are used to extract the particle size distribution and particle concentration.     

Flamelet modeling of coal particle ignition

This paper numerically investigates the ignition of a single coal particle during the devolatilization phase in a laminar entrained-flow reactor, for which experimental data are available from Molina and Shaddix [3]. Different numerical approaches are combined to evaluate the non-premixed flamelet approach for coal particle ignition. First, the particle trajectory and the particle heating are simulated with a Lagrangian–Eulerian approach using a detailed pyrolysis model. In a second step, these results are used as transient boundary conditions for a simulation fully resolving the flow, the mixing field and the chemical reactions around the particle. Finally, in combination with the boundary conditions the time-dependent scalar dissipation rate profiles from the resolved particle calculation are used in a flamelet calculation for the particle up- and downstream directions. Very good agreement is obtained in terms of ignition delay as well as temperature and chemical species distributions in the mixture fraction space when the resolved particle calculation and the unsteady flamelet calculation are compared in the downstream direction. Good agreement is obtained when the numerical results for the ignition time and the time-averaged OH distribution are compared with the available experimental data. The results show the capability of the laminar flamelet approach to correctly predict coal particle ignition during devolatilization using accurate scalar dissipation rate profiles.     

Intense beam nonlinear transport in solenoid lenses

Lie algebraic methods are used in the analysis of the nonlinear transport of charged particle beams in solenoid lenses. Space charge effects are included. The particle distribution we used is a K－V type. Similar procedures can also be used for magnetic dipoles, quadrupoles, sextupoles and other optic elements.     

颗粒圆孔射流碰撞并行直接数值模拟算法研究

本文对空间模式发展的颗粒圆孔射流碰撞进行了并行直接数值模拟算法研究。气相采用可压缩的N-S方程直接求解。颗粒相采用Lagrangian方法跟踪实际的颗粒运动。利用并行求解算法,实现了颗粒穿越边界面的模拟以及高效颗粒碰撞算法。考虑了颗粒和流体的双相耦合以及颗粒之间的碰撞。在本文的计算条件下,颗粒的直径远小于网格的间距,平均的Kolmogorov尺度和网格的间距在一个量级。气相和颗粒相的应力与实验的对比研究表明,本文的颗粒并行程序是可信的。     

Dynamic Light Scattering Measurement of Nanometer Particles in Liquids

Dynamic light scattering (DLS) techniques for studying sizes and shapes of nanoparticles in liquids are reviewed. In photon correlation spectroscopy (PCS), the time fluctuations in the intensity of light scattered by the particle dispersion are monitored. For dilute dispersions of spherical nanoparticles, the decay rate of the time autocorrelation function of these intensity fluctuations is used to directly measure the particle translational diffusion coefficient, which is in turn related to the particle hydrodynamic radius. For a spherical particle, the hydrodynamic radius is essentially the same as the geometric particle radius (including any possible solvation layers). PCS is one of the most commonly used methods for measuring radii of submicron size particles in liquid dispersions. Depolarized Fabry-Perot interferometry (FPI) is a less common dynamic light scattering technique that is applicable to optically anisotropic nanoparticles. In FPI the frequency broadening of laser light scattered by the particles is analyzed. This broadening is proportional to the particle rotational diffusion coefficient, which is in turn related to the particle dimensions. The translational diffusion coefficient measured by PCS and the rotational diffusion coefficient measured by depolarized FPI may be combined to obtain the dimensions of non-spherical particles. DLS studies of liquid dispersions of nanometer-sized oligonucleotides in a water-based buffer are used as examples.     

格子玻尔兹曼方法模拟弯流道中粒子的惯性迁移行为

本文发展了一个能够模拟微流场环境下粒子惯性迁移行为的三维耦合模型.该模型采用基于动理论的格子玻尔兹曼方法(LBM)描述流体流动,采用牛顿动力学模型描述粒子的平动和转动,采用基于LBM反弹格式的运动边界法实现流体与粒子模型的耦合.模拟了重力作用下粒子的沉降过程和Couette流条件下粒子的转动过程,通过将模拟结果与文献中的基准解进行对比定量验证了模型的可靠性.模拟了不同大小的球形粒子在环形流道中的迁移,成功复现了经典的流道截面二次流形成过程,分析了粒径大小对粒子在流道中平衡位置的影响机理.结果表明,粒子在弯流道中的平衡位置与粒径大小密切相关,小半径粒子的平衡位置靠近流道外侧而大半径粒子则靠近流道内侧.通过实验对模拟结果进行了定性验证.本模型为深入研究微流场环境下粒子的运动特性以及开发微流控粒子分选器件提供了参考依据.     

动态微粒场双脉冲全息图再现像的分离技术

双脉全息图可应用于动态微粒场中粒子形状、尺寸、密度和速度等分布参数的测定。但由于两个脉冲时刻所拍摄的粒子像只能同时再现,不能判断粒子运动速度的方向,在运动情况较复杂时,粒子的“配对”也很困难。本文提出一种技术,可以分别再现两个脉冲时刻的粒子场图像,从而实现粒子速度方向的判定,同时减小了配对困难。