通气空泡尾部气泡流仿真和特性分析

基于欧拉-欧拉双流体模型对通气空泡尾部气泡流进行数值仿真, 并采用基于多尺寸分组模型的总体平衡方法预估气泡尺寸分布. 应用改进后湍流耗散系数计算模型, 考虑了气泡体积含量对在湍流作用下气泡扩散现象的影响. 基于上述模型对两种试验工况下流场进行了数值仿真.结果表明模型对空泡尾部回流区特性进行了准确预示, 在回流区高湍流度作用下气泡迅速破碎成小气泡. 并进一步得到试验体尾流区空泡体积分数和速度分布. 尾流区水流速度分布保持了流体经过非流线型对称体时产生的尾流分布规律. 仿真结果与试验数据相一致, 模型适用性得到验证.      

Controlling single-molecule negative differential resistance in a double-barrier tunnel junction

We observed the transition from negative differential resistance (NDR) to the absence of NDR in the differential conductance (dI/dV) spectra of single copper-phthalocyanine (CuPc) molecules adsorbed on one, two, and three atomic layers of NaBr grown on a NiAl(110) substrate. Through numerical simulation, this transition is attributed to two phenomena in the double-barrier tunnel junction: (i) the opposite bias dependence of the vacuum and NaBr barrier heights, and (ii) the changing barrier widths for CuPc molecules adsorbed on different layers of NaBr.     

Optical modulator based on a Si0.75Ge0.25/Si/Si0.5Ge0.5 asymmetric superlattice structure

An optical modulator is designed and fabricated based on a Si_0.75Ge_0.25/Si/Si_0.5Ge_0.5 asymmetrical superlattice structure. The device comprises a p-i-n diode made on the asymmetrical superlattice integrated with a 920-μm-long Fabry-Perot (F-P) cavity. Parameters of the rib waveguide are designed to satisfy only the fundamental-TE mode transmission. Here, 65 and 40-pm red shifts of the peak resonant were measured under the applied bias of 2.5 and ?32.0 V, respectively. The analysis shows that, besides the thermal-optical and plasma dispersion effects, the Pockels effect also contributes to such a peak shift. The corresponding calculated effective Pockels coefficient is about 0.158 pm/V.

     

An efficient synthesis of pyrido[2,3-d]pyrimidine derivatives and related compounds under ultrasound irradiation without catalyst

A series of pyrido[2,3-d]pyrimidine derivatives and related compounds were synthesized via the condensation reaction of an aldehyde, 2,6-diaminopyrimidine-4(3H)-one and either tetronic acid or 1,3-indanedione under ultrasonic irradiation without catalyst. This protocol has the advantages of higher yields, lower cost and convenient procedure.     

Green Synthesis of 3‐Hydroxynaphthalene‐1,4‐dione Derivatives via Microwave‐Assisted Three‐Component Reactions in Neat Water

A novel and efficient access to 2‐(argio(3‐methyl‐5‐oxo‐1‐phenyl‐4,5‐dihydro‐1H‐pyrazol‐4‐yl)methyl)‐3‐hydroxynaphthalene‐1,4‐dione derivatives from readily available substrates in neat water is described with aid of microwave irradiation. The results of our study provide a green, simple and practical one‐pot approach to the synthesis of 3‐hydroxynaphthalene‐1,4‐dione analogs in excellent yields without further purification.     

On the vanishing of the Lannes–Zarati homomorphism

The conjecture on spherical classes states that the Hopf invariant one and the Kervaire invariant one classes are the only elements in H_?(Q₀S⁰)$H_{?}(Q_0{S}^0)$ belonging to the image of the Hurewicz homomorphism. The Lannes–Zarati homomorphism is a map that corresponds to an associated graded (with a certain filtration) of the Hurewicz map. The algebraic version of the conjecture predicts that the s  -th Lannes–Zarati homomorphism vanishes in any positive stems for s>2$s>2$. In the article, we prove the conjecture for the fifth Lannes–Zarati homomorphism.     

考虑损伤效应的双层结构界面蠕变应力分析

针对导致多层结构失效的界面应力问题,利用 ABAQUS 大型有限元程序,对比分析了线弹性、蠕变、蠕变-损伤条件下 Silicon/Epoxy 双层材料受到温度载荷作用时界面切应力和界面剥离应力的分布规律.分析结果表明:蠕变-损伤分析所得到界面切应力和界面剥离应力的结果要比线弹性有限元及蠕变有限元分析的结果小,其中线弹性分析得到的结果是三者中最大的;最大损伤出现在双层结构的界面边缘处,且损伤随着两种材料之间弹性模量差别的增大而增大;损伤沿界面的分布规律与界面剥离应力沿界面的分布规律类似.     

Dynamical Parallelepipeds in Minimal Systems

For a topological dynamical system $(X,T)$ ( X , T ) and $d\in \mathbb N $ d ∈ N , the associated dynamical parallelepiped $\mathbf{Q}^{[d]}$ Q [ d ] was defined by Host–Kra–Maass. For a minimal distal system it was shown by them that the relation $\sim _{d-1}$ ～ d ? 1 defined on $\mathbf{Q}^{[d-1]}$ Q [ d ? 1 ] is an equivalence relation; the closing parallelepiped property holds, and for each $x\in X$ x ∈ X the collection of points in $\mathbf{Q}^{[d]}$ Q [ d ] with first coordinate $x$ x is a minimal subset under the face transformations. We give examples showing that the results do not extend to general minimal systems.     

强p除环上方阵的酉相似理论(Ⅲ)

In this third paper, the famous Schur theorem that an n× n complex matrix is unitary similar to an upper triangular matrix is generalized to the socalled ∑-lizable matrix over the strong p-division ring Ω, where ∑ is the algebraically closed extension field of the center of Ω , and ∑?Ω.The generalized Schur's identity and other results involving the general-ized normal matrix over Ω is obtained by using this generalized Schur theorem.