Modelling of a single drop impact onto liquid film using particle method

The process of single liquid drop impact on thin liquid surface is numerically simulated with moving particle semi‐implicit method. The mathematical model involves gravity, viscosity and surface tension. The model is validated by the simulation of the experimental cases. It is found that the dynamic processes after impact are sensitive to the liquid pool depth and the initial drop velocity. In the cases that the initial drop velocity is low, the drop will be merged with the liquid pool and no big splash is seen. If the initial drop velocity is high enough, the dynamic process depends on the liquid depth. If the liquid film is very thin, a bowl‐shaped thin crown is formed immediately after the impact. The total crown subsequently expands outward and breaks into many tiny droplets. When the thickness of the liquid film increases, the direction of the liquid crown becomes normal to the surface and the crown propagates outward. It is also found that the radius of the crown is described by a square function of time: r_C = [c(t ? t₀)]^0.5. When the liquid film is thick enough, a crown and a deep cavity inside it are formed shortly after the impact. The bottom of the cavity is initially oblate and then the base grows downward to form a sharp corner and subsequently the corner moves downward. Copyright © 2004 John Wiley & Sons, Ltd.     

湍流边界层外区大尺度相干结构的理论模型及与实验的比较

本文基于流动稳定性理论,提出了一种解释湍流边界层外区大尺度相干结构产生机理的理论模型.将计算所得流线、等涡线分布及利用相干结构理论模型计算湍流边界层中平均温度分布的结果与实验比较,结果是比较满意的.     

配位聚合物{[MnL][FeⅡFeⅢ(ox)3·1.5H2O]}∞的合成及其磁学性质

合成和表征了一种新的Schiff碱配合物MnL(ClO4)*3H2O(1)(其中L为n(水杨醛)∶n(二乙撑三胺)=1∶1缩合而成的Schiff碱).1与FeSO4*7H2O和K3[Fe(ox)3]*3H2O(ox=oxalate)进一步反应,生成了双金属层状配位聚合物{[MnL][FeⅡFeⅢ(ox)3]*1.5H2O}∞(2).IR和Mssbauer谱测定结果表明,2具有二维层状结构,其阴离子层由[FeⅡFeⅢ(ox)3]-单元构成.变温磁化率(5K～100K)测试结果表明,2中的自旋载体之间存在反铁磁交换作用.5K时的磁滞现象表明2在低温时可能存在铁磁有序,这可能是亚铁磁或自旋倾斜造成的.     

Organometallic reagents in organic synthesis—V: An organocuprate conjugate addition—Aldol condensation synthetic procedure for sequential formation of two carbon-carbon bonds

The enolates produced from the conjugate addition reaction of lithium dialkylcuprates with α,β- unsaturated ketones react with aldehydes in the presence of zinc chloride to give overall β-alkyl α-hydroxyalkyl addition to the original alkene. Reaction of these enolates with carbon dioxide and ethyl formate is also reported.     

习近平新时代中国特色社会主义思想学理化研究论纲

加强对习近平新时代中国特色社会主义思想的学理化研究具有重大理论和现实意义。开展学理化研究,一方面是要坚持以习近平新时代中国特色社会主义思想为指导,加快推动学科体系、学术体系和话语体系建设,推动构建中国特色哲学社会科学;另一方面,学理化研究可以增强对新思想的学科体系、学术体系和话语体系的有力支撑,使新思想进一步彰显其内在的学理性、创新性和整体性,从而全面系统揭示习近平新时代中国特色社会主义思想的时代性、科学性和真理性,以及彰显当代中国马克思主义理论的优秀品质和学风文风。开展学理化研究,要紧扣习近平新时代中国特色社会主义思想这一根本性主题和主线,聚焦并挖掘新思想对马克思主义理论的原创性贡献,更好体现新思想的理论创新性、价值创造性以及实践指导性。推动学理化研究,需要处理好学理化研究与党的理论宣传和贯彻落实以及与思想性和工具性、实践性和理论性、学术话语和政策话语、本土化和国际化、学理化和大众化等之间的内在关系。     

ISOVALEROYL OXOKADSURANE,A NOVEL DIBENZOCYCLOOCTADIENE LIGNAN POSSESSING A SPIROBENZOPURANOID SKELETON

Isovaleroyl oxokadsurane, a novel dibenzocyclooctadiene lignan pos-sessing a spirobenzofuranoid skeleton was isolated from the stems of Kadsura coccinea.Its structure and relative configuration were determined by X-ray diffraction analysis.     

石墨炉原子吸收光谱法间接测量尿样中氨基多糖含量

本文采用阿利新蓝（ＡｌｃｉａｎＢｌｕｅ）与尿样中氨基多糖（以下称ＧＡＧ）在ｐＨ＝５．８的醋酸钠溶液中，发生沉淀反应生成ＧＡＧ铜复合物。离心分离沉淀物，以石墨炉原子吸收光谱测定沉淀物中铜含量，间接计算ＧＡＧ含量。本文对尿样加入染液浓度，沉淀反应平衡时间；沉淀物的洗涤剂、洗涤次数等进行了探讨，确定了最佳实验条件，实测了６０例健康人尿中ＧＡＧ含量，与文献报导值一致。     

非Chetaev型变质量非完整系统的Lie对称性与Noether对称性

研究非Chetaev型变质量非完整系统的Lie对称性与Noether对称性以及其间的 关系,给出Lie对称性导致Noether对称性以及Noether对称性导致Lie对称性的条件.     

ON A SET OF h-HARMONIC HOMOGENEOUS POLYNOMIALS

1　IntroductionLet Sd- 1 bethe unitsphere of Rd,Πdthe space of allpolynomialsofd variables,and x(i)= (x1 ,… ,xi) (i=1 ,… ,d) .In this paper,we are concerned with the homogeneous polyno-mials orthogonal with the weightfunction h(x(d) ) =x2 k11 …x2 kdd on Sd- 1 ,where ki≥ 0 (i=1 ,… ,d) .Connected with the weightfunction h(x(d) ) are the following differential-differenceoperators introduced by Charles F. Dunkl in [3 ] ,Dip(x(d) ) = p(x(d) ) xi+ di=1kip(x(d) ) -p(x1 ,… ,-xi,… ,xd)xi,Δ…