低浓度三分子双曲型反应-扩散方程的非线性理论

建立了低浓度三分子模型双曲型反应-扩散的波动方程，研究了定态的稳定性，重点研究了Turing不稳定问题，指出双曲型方程的Turing不稳定不受扩散系数不相等（Dx≠Dy）这一条件的约束，进而对方程作近似的分支分析，讨论了出现极限环的条件，最后对极限环和定态不稳定作了数值研究．     

铂电极BZ反应系双电层稀疏区中的Turing结构

将扩散流作为场函数, 考虑φ电势的空间分布, 建立了铂电极BZ反应系在双电层稀疏区的动力学演化机制, 确立了纳入稀疏区φ电势效应的反应-扩散型演化方程. 采用Boltzmann分布近似, 解决了演化方程中含φ电势的流项的线性化问题; 导出了可在算法上实现的三变量体系线性化算子本征值的解析形式. 分别以静态铂电极BZ反应系双电层稀疏区和对应的纯粹BZ反应系作为参考模型系, 分析了经空间对称性破缺产生Turing结构的参数范围. 数值模拟发现, φ电场的存在使铂电极BZ反应系的输运过程在静态双电层稀疏区趋于电化学平衡时, 在对应的纯粹BZ反应体系中可呈现的Turing结构已趋于消失; 而在电流强度不太大的恒流不可逆铂电极BZ反应体系双电层稀疏区中, 鲜明稳定的Turing结构又重新出现在原参数区间内. 同时, 在静态双电层稀疏区不出现Turing结构的参数范围内也可找到类似的恒流稳定空间结构.     

低浓度三分子模型差速流动引起的化学不稳定性

建立了低浓度三分子反应模型反应-流动-扩散方程,理论分析了出现差速流动化学不稳定的条件,得到了临界流动速率c和扰动波包的群速度vg,讨论了扰动增长率与流速的关系,并理论研究了出现不稳定时系统的时、空结构.研究结果表明,化学反应在低浓度条件下也可能出现差速流动引起的化学不稳定.     

顺丁橡胶挤出过程中熔体不稳定流动的研究

<正> 在高聚物挤出过程中,当挤出速率在一定条件下增大到某一数值时,挤出物表面将出现竹节状或鲨鱼皮状、扭曲等现象,此即为熔体破裂或不稳定流动。它严重影响着高聚物制品的外观质量,并限制了生产速率的进一步提高。所以,深入探讨不稳定流动产生的机理,进而建立判定不稳定流动的临界条件,对指导高聚物压出成型加工过程参数的选择及过程控制,具有实际意义。     

糖酵解模型差速流动引起的不稳定性和时空结构

建立了糖酵解模型(Selkov模型)差速流动型反应扩散方程,理论研究了均匀定态的稳定性,结果表明,当自催化物B的流速大于临界值c时,系统存在运流不稳定性(Convective instability);数值模拟分别得到了B在不同时刻和不同流速下的时空结构,显示了一些特殊性质,同时也证实了运流不稳定性的存在。     

电化学时空斑图

时空斑图广泛存在于反应-输运非平衡态体系,近年来电化学体系中时空斑图的形成开始受到广泛关注.从行波到Turing稳态结构在电化学体系都有发现和研究,这大大促进了电化学动力学的理论发展.理论模型已由最初的反应-扩散模型逐渐演化和完善成为电化学反应-电迁移模型,促使实验与理论研究的进一步开展.随着时空识别电化学技术的应用,...     

聚乙二醇-水介质中水溶性膦稳定的钌催化芳香酮的不对称加氢反应

在聚乙二醇-400-水介质中,以(1S,2S)-1,2-二苯基乙二胺的磺酸钠盐为手性修饰剂,考察了水溶性三(间-磺酸钠苯基)膦稳定的Ru催化苯乙酮及其衍生物的不对称加氢反应.结果表明,该催化剂体系具有良好的催化活性和对映选择性.在优化反应条件下,苯乙酮转化率和对映选择性分别为100％和84.9％.经正己烷萃取后,催化剂...     

用AFM研究阳极氧化铝的不稳定生长

用原子力显微镜(AFM)研究了多孔阳极氧化铝(AAO)模板的不稳定生长. 结果表明:AAO模板的不稳定生长导致了纳米孔道结构有序度的降低.在H₃PO₄溶液中生长的AAO模板孔道结构稳定性较差;而在H₂C₂O₄溶液中生长的AAO模板稳定性依赖于氧化电压和电流密度,在低电压和电流密度下稳定性较好,高电压和电流密度下稳定性较差. 充分利用这种不稳定生长特性,通过控制AAO模板的阳极氧化条件,可得到具有分枝孔道结构的特殊模板,这为利用模板法制备各种Y形或T形纳米线、管提供了新的发展空间.     

几种新的外消旋过渡金属簇合物在纤维素衍生的高效液相色谱手性固定相上的直接拆分

正相条件下,在自制的涂敷型纤维素-三(3,5-二甲基苯基氨基甲酸酯)手性固定相上,首次直接拆分了几种新的外消旋过渡金属簇合物,考察了流动相中极性添加剂对手性拆分的影响.结果发现不仅不同立体结构的醇对手性簇合物的选择性不同,而且手性簇合物四面体骨架的四个顶点上的原子及与之配位的基团,对它们的色谱行为都有重要的影响.     

酸性条件下脲醛树脂中不稳定结构的研究

通过较强酸性介质中尿素和甲醛的反应, 在不同条件下合成了透明的脲醛树脂溶液, 利用液体13C NMR研究了甲醛与尿素摩尔比对最终树脂中不稳定结构的影响.     

Surface instability in a finite thickness fluid saturated porous layer

The Rayleigh-Taylor (RT) instability at the interface between fluid and fluid saturated sparsely packed porous medium has been investigated making use of boundary layer approximation and Saffmann [8] boundary condition. An analytical solution for dispersion relation is obtained and is numerically evaluated for different values of the parameters. It is shown that RT instability can be controlled by a suitable choice of the thickness of porous layer, ratio of viscosities and the slip parameter.     

FUNDAMENTAL PROBLEMS IN FINITE ELEMENT SIMULATION OF WAVE MOTION

The transmitting boundary condition is written in a compact form, which can be direct-ly incorporated into finite elements. Basic characteristics of discretization are analyzed throughstudies on wave motion in a one-dimensional discrete model and their differences from those in thecorresponding continuum. Tbe analysis leads to identifying a frequency band within which thesimulation is possible, and to a suggestion of using the lumped-mass finite element model forthe simulation. Mechanism of the oscillation instability is then illuminated in the frequencydomain by amplification at the artificial boundary and multi-reflection of wave motion in afinite discrete model. Based on understanding of the mechanism, a modified transmittingboundary condition is devised for eliminating the instability. The special stability criterion forthe modified boundary is finally presented for the one-dimensional model.     

A Unified Thermodynamic Model of Flow-induced Crystallization of Polymer

We propose a unified thermodynamic model of flow-induced crystallization of polymer (uFIC),which incorporates not only the conformational entropy reduction but also the contributions of flow-induced chain orientation,the interaction of ordered segments,and the free energy of crystal nucleus and crystal morphology.Specifically,it clarifies the determining parameters of the critical crystal nucleus size,and is able to account for the acceleration of nucleation,the emergence of precursor,different crystal morphologies and structures induced by flow.Based on the nucleation barrier under flow,we analyze at which condition precursor may occur and how flow affects the competition among different crystal forms such as orthorhombic and hexagonal phases of polyethylene.According to the uFIC model,the different crystal morphologies and structures in the flow-temperature space have been clarified,which give a good agreement with experiments of FIC.     

Interfacial challenges in all-solid-state lithium batteries

This mini-review provides a current opinion on interfacial challenges in solid-state batteries (SSBs). We focus our discussion on the effects of mechanical instability, chemical instability, electrochemical instability, and space charge layer formation on the interfacial resistance of SSBs. We highlight that the resulting interfacial resistance of SSBs arises from the coupling of all these effects. Quantifying the exact contribution of each effect to the overall interfacial resistance can be very difficult, if not impossible, because all these effects occur simultaneously during battery operation, but the dominant source, which varies with different electrode/electrolyte combinations, will need to be determined for future development of SSBs.     

Surface Tension Effect on Harmonics of Rayleigh-Taylor Instability

Using the method of the parameter expansion up to the third order, explicitly investigates surface tension effect on harmonics at weakly nonlinear stage in Rayleigh-Taylor instability (RTI) for arbitrary Atwood numbers and compares the results with those of classical RTI within the framework of the third-order weakly nonlinear theory. It is found that surface tension strongly reduces the linear growth rate of time, resulting in mild growth of the amplitude of the fundamental mode, and changes amplitudes of the second and third harmonics, as is expressed as a tension factor coupling in amplitudes of the harmonics. On the one hand, surface tension can either decrease or increase the space amplitude; on the other hand, surface tension can also change their phases for some conditions which are explicitly determined.     

The effect of prior crystallinity on the flow-induced crystallization of poly(ethylene oxide)

After flowing in a dilatometer bulb for a small fraction of the duration of the transformation, a relaxed melt of poly(ethylene oxide) (M?_n = (5.9 ± 0.1) × 10³) showed marked increases in isothermal crystallization rate. The extent of increase was greater when flow was imposed at modestly later stages rather than at the earliest stage of a crystallization. Kinetic parameters for the flow-induced crystallizations were obtained via modification of the conventional mathematical treatment of the kinetics of phase change, thereby allowing the analytical resolution of the overall process into flowinduced and quiescent components. Determination of the flow-induced crystallization parameters required independent determination of the kinetic parameters for quiescent crystallizations at that temperature. The Avrami exponents n_f which characterized the flow-induced portions of the crystallizations were larger for those instances in which flow was imposed at the more advanced stages of the crystallizations, thus indicating a transition in crystallization mechanism. It is suggested that prior crystallinity present at the time of flow contributed to the crystallization by serving as a source of nucleation sites. However, in light of the experimental procedure employed, values of n_f approximating 4 that were obtained are not susceptible to mechanistic interpretations now extant.     

A FAD-SMT Model of Large Scale Liquid Adsorption Chromatography

The paper proposes a FAD-SMT model of large-scale liquid chromatography by which a continuous equation of chromatographic separation is decomposed into a convection dispersion partial differential equation and a set of ordinary differential equations. The numerical method for the FAD-SMT model is established. The stability and the convergence condition of numerical solution, and the choice of time and space interval are discussed. The FAD-SMT model is used to simulate liquid adsorption chromatography and cycling adsorption chromatography. Results show that the elution curves calculated by FAD-SMT model are good agreement with the experimental elution curves of the separation of glucose and fructose, the separation of sucrose and reducing sugar and the separation of mannitol and sorbitol. The result of parameter sensitivity analysis shows that the chromatographic elution curves are more sensitive to the changes of the parameter ai in Langmuir isotherms than to the changes of other parameters in the studied system.     

Synthesis of Thiophene‐annulated Naphthalene Diimide‐based Small‐Molecular Acceptors via Two‐step C−H Activation

Thiophene‐annulated naphthalene diimide (NTI)‐based molecules have recently emerged as an important class of n‐type electronic materials. However, their synthesis has predominantly been achieved by Stille or Suzuki coupling reactions despite the presence of a potential C?H bond in NTI. Additionally, the synthesis of NTI or more generally mono‐functionalization of naphthalene diimide (NDI) starts with a cumbersome bromination that results in a low yield, is unselective, and requires tedious purification. We herein thus address these issues via a two‐step C?H activation: a rhodium‐catalyzed direct C?H iodinization is first presented for NDI, followed by establishing an efficient direct arylation protocol for NTI with high yield and robustness. Coupling of up to four NTI units on a benzene or pyrene core is demonstrated along with other aryl bromide substrates. All the herein reported NTI‐based small molecules showed n‐type semiconductor behavior under air.