Self-similar solutions to the isothermal compressible Navier-Stokes equations

^** Email: guo_zhenhua{at}iapcm.ac.cn^*** Email: jiang{at}iapcm.ac.cn We investigate the self-similar solutions to the isothermalcompressible Navier–Stokes equations. The aim of thispaper is to show that there exist neither forward nor backwardself-similar solutions with finite total energy. This generalizesthe results for the incompressible case in Neas, J., Rika, M.& verák, V. (1996, On Leray's self-similar solutionsof the Navier-Stokes equations. Acta. Math., 176, 283–294),and is consistent with the (unproved) existence of regular solutionsglobally in time for the compressible Navier–Stokes equations.     

高效液相色谱法直接拆分非甾体解热镇痛药物对映体

使用Kromasil CHI-TBB手性固定相,分离了非甾体解热镇痛药卡洛芬,氟吡洛芬,非诺洛芬,酮洛芬,吡咯芬和萘普生等对映体。结果表明,这种以酒石酸二酰胺为手性中心的商业化手性固定相,适合于在正相条件下分离上述药物对映体,对映体分离因子和分析时间可以通过向流动相中添加极性物质如异丙醇,甲基叔丁醚等来进行调节。     

Copper-mediated chelation-assisted ortho nitration of (hetero)arenes

A novel copper-mediated chelation-assisted ortho C-H nitration of (hetero)arenes has been developed for the first time, which used dioxygen as terminal oxidant and 1,2,3-TCP as solvent, leading to the synthesis of nitroaromatics with excellent regioselectivity and in good yields. Mechanistic investigations indicate a mechanism involving a four-centered transition state, with simultaneous cleavage of an ortho C-H bond and a N-O bond of the nitrate anion on the 2-arylpyridine-coordinated copper(II) complex.     

Analysis of FT-IR spectra of dicyclopentadienyl (bis-substituted cyclopentadienyl) dithiocyano of titanium, zirconium and hafnium

The FT-IR spectra of 18 (R-Cp)2M(NCS)2 were measured. The M-Cp, M-NCS (M=Ti, Zr, Hf) and other vibration modes were reasonably assigned. All complexes of (R-Cp)2M(NCS)2 determined in this paper are bonded by N-M, and the absorption of upsilon(s)(M-Cp)(A1) (M=Ti, Zr and Hf) vibration all appear in 365 cm(-1) or so, while upsilon(as)(M-Cp)(B) appear successively around 420, 350 and 320 cm(-1) in order of Ti, Zr and Hf. The influence of the center metal atoms and the substituents on cyclopentadienyl upon the spectra was discussed. It is mainly in far infrared region that center metal atoms influence upon the infrared spectra. The influence of the substituents to cyclopentadienyling upon its vibration is not significant. Only between 1500 and 1480 cm(-1) did a new absorbing peak appear due to the introduction of substituents to activate upsilon(CC) vibration.     

等离子体中的迁移系数

从等离子体动力学方程出发,采用玻尔兹曼碰撞项,在粒子分布函数偏离麦克斯韦分布甚小的情况下,作三级矩近似得到了等离子体迁移方程组。迁移方程组中忽略时间微分项后,得出了电子-离子等离子体的张量形式迁移系数,以及与磁场方向成平行(∥)、垂直(⊥)和交叉方向的迁移系数。导出的结果和文献[1]采用朗道碰撞项得出的结果进行了比较。结果表明,迁移系数和等离子体参数的依赖关系是一致的,但对磁场B和离子电荷Z_i值取定时,个别迁移系数要差一倍。此外,导出的迁移系数形式比文献[1]的要简单些。     

六层加侧混合型摇摆器磁场的理论计算与数值模拟

 利用文献[1，2]给出的结果，提供了六层加侧混合型摇摆器中永磁体磁场的计算公式和软铁磁场计算的积分方程式。对周期长度lw =1.6cm，磁极间隙g=0.5cm的情况，计算了单向聚焦和双向聚焦两种不同构形的磁场分布，并得到了g /lw =1/3条件下，峰值磁场Bw超过1特斯拉的设计指标。     

本征正交分解技术在屋盖风压场重建与预测中的应用

给出利用本征正交分解(POD)对屋盖风压场进行重建和预测的研究结果.对一个双坡屋盖用同步多点压力扫描系统进行了风洞试验,根据POD技术采用前若干阶本征模态重建屋盖风压场.采用两种方案预测未布置测压点位置的风压时间序列.第一种方案中利用插值技术获得没有测压点位置的本征模态值.第二种方案对参考屋盖和需预测的新屋盖分别进行试验,结合由参考屋盖试验萃取的本征模态和由新屋盖试验的风压数据计算的主坐标,预测出新屋盖未知区域的风压时间序列.文中对风压场重建和预测的效果作了分析,而且比较了根据测量的风压数据和预测的风压数据所计算的屋盖风致响应.     

基于重构相空间的结构损伤识别方法

介绍了混沌理论中相空间重构技术,应用到结构损伤检测与健康监测中.以单自由度弹簧振子为例分析了基于相空间拓扑结构变化的损伤检测方法的可行性,结果表明,当弹簧的刚度降低,相空间拓扑结构发生明显变化,表明该检测方法是可行的.利用相空间重构技术,直接将结构动态响应以相空间的形式展开,根据损伤前后相空间拓扑结构的变化,提出了新的损伤因子.为了验证该方法的可行性与可靠性,进行了圆拱结构动态实验并进行损伤识别.实验结果表明,该方法能够成功地识别出圆拱结构的损伤位置及损伤程度,且灵敏度较之常用的动力指纹方法有了很大的提高.该方法只需单个测点就能计算出该点损伤因子的值,可作为结构整体参量来监测结构是否存在损伤以及结构健康状况.