气动喷射数值仿真分析

利用CFD软件Fluent建立数学物理模型,运用欧拉法和拉格朗日方法相结合的计算模型对离散相模型(DPM)进行三维数值模拟。研究当进口处空气速度为60m/s时,不同直径的固体颗粒在喷管外部流场的轨迹和横截面上的分布。仿真得到以下结论:在固体颗粒从喷管喷出后短距离内,固体颗粒大体上呈现圆锥状喷射,喷射的锥角随颗粒的减小而逐步减小;颗粒直径减小时,长轴半径接近短轴半径,逐步过渡为圆形。     

具时滞物价瑞利方程的Neimark-Sacker分支

研究了以滞量为参数的具时滞物价瑞利方程的数值Hopf分支问题。首先利用欧拉方法将得到的时滞差分方程表示为映射,然后利用离散动力系统的分支理论,在瑞利方程具有Hopf分支的条件下,讨论了差分方程Hopf分支存在的条件及连续系统与其数值逼近间的关系,最后证明了当连续系统产生Hopf分支时,其Euler离散将产生Neimark-Sacker分支,进而得到结论：Euler离散使得方程的Hopf分支性质得以保持。     

基于POD方法的BBM-Burgers方程向后欧拉有限元降维格式

利用特征正交分解(proper orthogonal decomposition,POD)方法讨论了BBM-Burgers方程的降维模型.首先,简要介绍了POD方法,并利用此方法把通常的向后欧拉有限元格式简化为一个自由度极少的向后欧拉有限元格式.最后,给出了降维的向后欧拉有限元解的误差估计.     

翼身组合体的网格生成及EULER方程数值模拟

采用代数方法中的广义无限插值法生成翼身组合体三维Ｏ－Ｃ型贴体网格。该方法使用双边界法和引入了物面外法向导数以保证物面附近网格正交的处理方法，提高了代数方法生成翼身组合体网格的质量。并用中心格式有限体积法求解跨声速ＥＵＬＥＲ方程，以某翼身组合体模型为例，计算结果与实验符合良好。     

镦粗过程中锻件内部孔洞闭合的光塑性模拟研究

通过改变升温速度等因素控制颗粒状聚碳酸酯的塑化过程，首次在不破坏材料连续性的条件下制成中间带孔的光塑性实验模拟试件。采用更为符合大塑性变形的Ｅｕｌｅｒ坐标系，对带孔洞圆柱体的镦粗过程进行光塑性分析，得到了孔洞的闭合形式及邻域应变分布等结论。     

Segregation and intermixing in polydisperse liquid–solid fluidized beds: A multifluid model validation study

Multifluid model (MFM) simulations have been carried out on liquid–solid fluidized beds (LSFB) consisting of binary and higher-order polydisperse particle mixtures. The role of particle–particle interactions was found to be as crucial as the drag force under laminar and homogenous LSFB flow regimes. The commonly used particle–particle closure models are designed for turbulent and heterogeneous gas–solid flow regimes and thus exhibit limited to no success when implemented for LSFB operating under laminar and homogenous conditions. A need is perceived to carry out direct numerical simulations of liquid–solid flows and extract data from them to develop rational closure terms to account for the physics of LSFB. Finally, a recommendation flow regime map signifying the performance of the MFM has been proposed. This map will act as a potential guideline to identify whether or not the bed expansion characteristics of a given polydisperse LSFB can be correctly simulated using MFM closures tested.     

子样广义方差的分布函数及其计算

本文以傅氏级数为基础，巧妙地利用了契贝谢夫多项式，成功地给出了子样广义方差的分布函数及其计算过程。     

包含伪Smarandache函数与Euler函数的两个方程

利用初等方法以及伪Smarandache函数Z（n）和Euler函数p（n）的性质,讨论了两个数论函数方程φ（n）=Z（n＆k）与Z（n）＋φ（n）=2n的可解性问题,并求出所有正整数解．     

On the prediction of gas hold-up in two-phase flow systems using an Euler–Euler model

We quantify the ability of the two-fluid Euler–Euler model to predict the overall gas hold-up during two-phase flow in vertical columns using a combination of experiments and simulations. Gas hold-up in a bubble column and gas hold-up in the less-frequently studied co-current flow are investigated. For homogeneous flow characterized by nearly uniform bubble size, Euler–Euler model predictions are within 10% of the experimental values for both modes of operation, if the bubble diameter supplied as input to the model is the average bubble diameter in the physical system. This also holds true for heterogeneous flow in bubble columns despite the presence of a broad distribution of bubble sizes, if turbulence and bubble swarm effects on momentum exchange between phases are properly accounted for. Swarm corrections adequate for bubble columns, are less successful for co-current heterogeneous flow, for which gas hold-up predictions are least accurate (average error of 22%).