Modeling droplet dispersion and interphase turbulent kinetic energy transfer using a new dual-timescale Langevin model

Dispersion of spray droplets and the modulation of turbulence in the ambient gas by the dispersing droplets are two coupled phenomena that are closely linked to the evolution of global spray characteristics, such as the spreading rate of the spray and the spray cone angle. Direct numerical simulations (DNS) of turbulent gas flows laden with sub-Kolmogorov size particles, in the absence of gravity, report that dispersion statistics and turbulent kinetic energy (TKE) evolve on different timescales. Furthermore, each timescale behaves differently with Stokes number, a non-dimensional flow parameter (defined in this context as the ratio of the particle response time to the Kolmogorov timescale of turbulence) that characterizes how quickly a particle responds to turbulent fluctuations in the carrier or gas phase. A new dual-timescale Langevin model (DLM) composed of two coupled Langevin equations for the fluctuating velocities, one for each phase, is proposed. This model possesses a unique feature that the implied TKE and velocity autocorrelation in each phase evolve on different timescales. Consequently, this model has the capability of simultaneously predicting the disparate Stokes number trends in the evolution of dispersion statistics, such as velocity autocorrelations, and TKE in each phase. Predictions of dispersion statistics and TKE from the new model show good agreement with published DNS of non-evaporating and evaporating droplet-laden turbulent flow.     

Three‐Phase Barker Arrays

A 3‐phase Barker array is a matrix of third roots of unity for which all out‐of‐phase aperiodic autocorrelations have magnitude 0 or 1. The only known truly two‐dimensional 3‐phase Barker arrays have size 2 × 2 or 3 × 3. We use a mixture of combinatorial arguments and algebraic number theory to establish severe restrictions on the size of a 3‐phase Barker array when at least one of its dimensions is divisible by 3. In particular, there exists a double‐exponentially growing arithmetic function T such that no 3‐phase Barker array of size with exists for all . For example, , , and . When both dimensions are divisible by 3, the existence problem is settled completely: if a 3‐phase Barker array of size exists, then .     

不同粒径尿微晶的ζ电位、自相关曲线和聚集状态

采用纳米粒度仪和透射电子显微镜(TEM)比较研究了10例尿石症患者和10例健康对照者的尿液经不同孔径滤膜(0.22、0.45、1.2、3.0、10μm)过滤后,尿微晶平均粒径(d)、粒度分布、自相关曲线、ζ电位和聚集状态的变化。随着滤膜孔径由0.22μm增至10μm,患者尿微晶的d值由162 nm增至3 227 nm,自相关曲线平滑性变差,自相关时间(Ta)由1.92 ms增至2100 ms,ζ由-2.65 mV减小至-9.21 mV,TEM显示尿微晶尺寸差异大,部分尿微晶处于聚集状态。而对照者尿微晶的d值仅由187 nm增加至1 010 nm,自相关曲线平滑,Ta由1.40 ms增加至6.67 ms,ζ平均值由-5.22 mV减小至-6.89 mV,TEM显示尿微晶均匀分散,尺寸较小。上述结果表明:尿石患者的尿液体系不稳定,其尿微晶聚集程度高,导致尿石症形成的危险性增加。     

Simulation of positronium plasma by the molecular dynamics method

In this paper, the relaxation properties of a fully ionized, hot, ideal plasma have been studied using the molecular dynamics method. As an example, the classical problem of equalization of the electron and ion temperatures for various mass ratios is considered, the relaxation times for temperatures is determined, and the influence of the number of particles and the type of boundary conditions on the simulation results is studied. The simulation results are compared with the available theoretical results.     

基于扩散相关光谱的血流检测方法研究

组织血流信息在临床诊断和治疗中具有重要的作用,无创血流检测是医患双方的期望。研究采用了近红外扩散相关光谱方法对生物组织血流进行无创检测,理论分析了散射光斑强度的变化和被测组织中血细胞运动状态的函数关系,建立了检测组织血流的理论模型及检测系统。该系统通过求解组织表面散射光斑电场强度的时间自相关函数来推断组织中血细胞的运动状态,进行组织血流的定量分析。采用健康人体前臂袖带加压实验模型对该系统进行了验证,实验结果验证了该系统进行组织无创血流检测的可行性,同时也表明该系统可以提供从浅层到深层的组织血流变化信息。     

城市扩张的空间模式研究——以杭州市为例

以杭州市中心城区的多时相TM/ETM+遥感影像为数据源,采用建设用地扩张强度、空间自相关方法等,分析了杭州市1991~2010年间城市扩张的时空特征,并探讨其扩张的空间模式及其演化.结果表明：（1）杭州市城区快速扩展,各街道 乡镇扩张程度存在明显差异;（2）杭州城市扩张的“热点”方位变化大致为：城北-城西-多方位-城东,其变迁规律与杭州城市扩张模式的总体变化规律一致;（3）杭州市城市扩张的空间模式主要有边缘式、填充式、自发式和线性轴状,且随城市演化过程总体遵循以下轨迹：首先,主城表现为边缘式为主、填充式为辅的扩张;其次,外围自发式的扩张形成了副城;接下来主副城都表现为从填充为主、边缘为辅的扩张转变为边缘为主、填充为辅的扩张;而线性轴状扩张是沿交通线发展并贯穿整个城市空间的演化过程.     

点式单波束多普勒测流系统的设计方法

为了加快多普勒流速计算速度和提高系统稳定性,提出基于FPGA技术的多普勒测速的设计方法,其中包括信号发射电路和信号接收电路。首先通过M码进行二相相移键控信号的调制,减少了回波误差、增加信号发射能量,有效地降低了水中超声波的能量耗散对信号提取的影响。然后对回波信号进行二相解调,并利用复自相关算法进行分析处理。最后,通过测速实验对所提方法进行验证。实验结果表明,所提方法不仅具有较低的实验误差而且具有较高的可靠性。     

连续相位板面形的随机特性研究

根据连续相位板面形分布的随机特性,利用自相关函数和相关长度对其面形特性进行了分析.采用一个高斯型随机分布函数推导了相关长度与连续相位板远场分布之间的解析关系.利用数值算法计算了连续相位板远场分布的方差和能量利用率,并计算了不同的相关长度对连续相位板远场分布的具体影响.结果表明,连续相位板的相关长度越小,远场分布均匀性越好,焦斑形态更加接近于目标焦斑,同时具有较高的能量利用率.     

用偏倚缩减法检测壁湍流相干结构的时空尺度

提出了用偏倚缩减法计算壁湍流信号自相关函数,提高了自相关函数的计算精度。用壁湍流脉动速度的时间序列的自相关函数达到第二峰值对应的延迟时间检测壁湍流相干结构的平均周期。用槽道流直接数值模拟近壁区脉动速度自相关函数达到第二个峰值对应延迟长度检测壁湍流相干结构的空间平均尺度。