Characteristics of surface oscillation in thermocapillary convection

The characteristics of surface oscillation in a rectangular pool of silicone oil have been investigated experimentally. The horizontal cross-section of the pool is 52 mm × 36 mm, and the depth of the silicone oil layer is in the range of 1.1-4.8 mm. The applied temperature difference between the two sidewalls leads to shear flow along the free surface from hot to cold and a back flow in the underlying layer. With the increase of the temperature difference, the original steady flow will become unstable to unsteady flow. A CCD laser displacement-sensor with high resolution is used to measure the position of the liquid surface dynamically. And the Hilbert-Huang transform is chosen to analyze the experiment data which is nonlinear and non-stationary. The characteristics of surface oscillation have been obtained. And the relationship of the characteristics with the temperature difference and liquid layer depth has been discussed in details.     

A C2‐continuous high‐resolution upwind convection scheme

A bounded upwinding scheme for numerical solution of hyperbolic conservation laws and Navier–Stokes equations is presented. The scheme is based on convection boundedness criterion and total variation diminishing stability criteria and developed by employing continuously differentiable functions. The accuracy of the scheme is verified by assessing the error and observed convergence rate on 1‐D benchmark test cases. A comparative study between the new scheme and conventional total variation diminishing/convection boundedness criterion‐based upwind schemes to solve standard nonlinear hyperbolic conservation laws is also accomplished. The scheme is then examined in the simulation of Newtonian and non‐Newtonian fluid flows of increasing complexity; a satisfactory agreement has been observed in terms of the overall behavior. Finally, the scheme is used to study the hydrodynamics of a gas‐solid flow in a bubbling fluidized bed. Copyright © 2013 John Wiley & Sons, Ltd.     

Synthesis and characterization of [Cp*Fe-dicyclopenta(a,f)naphthalene-FeCp*] and [Cp*Fe-dicyclopenta(a,f)naphthalene-FeCp*] BF4

[Cp*Fe-dicyclopenta(a,f)naphthalene-FeCp*]ⁿ⁺ (Cp*=pentamethylciclopentadiene, n=0, 1), respectively named complexes V and VI, were synthesized and characterized. The X-ray structure has been solved and ¹H-, ¹³C-NMR and elemental analysis were performed for the n=0 complex. Cyclic voltammetry showed a potential difference of 360 mV within the two redox peaks. An absorption band at 850 nm was assigned to an intervalence band. The Mössbauer investigations show a uniform Fe²⁺ environment for the neutral compound and two sites, assigned to Fe²⁺ and Fe³⁺ for the monoxidized compound. The information gathered by all the previously mentioned techniques indicates that the studied binuclear compound belongs to the mixed valence class II using Robin and Day classification.     

Interaction between star-like block copolymer and sodium oleate in aqueous solutions

The interaction between a star-like block copolymer (AP432) and an anionic surfactant sodium oleate (C₁₇H₃₃COONa) was investigated in detail both at the air/water interface and in bulk aqueous solutions. The results of surface tension show that AP432 and C₁₇H₃₃COONa could form mixed micelles. The results obtained from the oscillating barrier measurements at low dilational frequencies (0.01-0.1 Hz) reveal that the maximum values of the dilational modulus for AP432/C₁₇H₃₃COONa mixed system moved to lower concentrations compared to those of single AP432 or C₁₇H₃₃COONa aqueous solutions. Steady-state fluorescence measurements indicate that after mixing, the I₁/I₃ values of AP432/C₁₇H₃₃COONa system above the cmc are higher than those of single AP432 or C₁₇H₃₃COONa solutions. This is probably due to a looser pack of the molecules within micelles for the AP432/C₁₇H₃₃COONa mixture, which is also consistent with the results obtained from TEM observations. For comparison, the interaction between a commercially available linear PEO-PPO-PEO copolymer (Pluronics L64) and C₁₇H₃₃COONa was also studied. All experimental results give clear evidence that the interaction between L64 and C₁₇H₃₃COONa is different from that between AP432 and C₁₇H₃₃COONa.     

Measurement of mixed conductivity in thin films with microstructured Hebb–Wagner blocking electrodes

Determination of the ionic and electronic contributions to the total conductivity in mixed ionic–electronic conductors (MIEC) is central to understanding their properties, particularly in nanostructured ionic solids. The Hebb–Wagner blocking technique, commonly used to deconvolute ionic and electronic contributions in bulk MIECs, is susceptible to misinterpretation when applied to thin films. In this work, microfabricated electronic blocking electrodes consisting of porous Pt on dense thin yttria-stabilized zirconia (YSZ) films were applied to nanocrystalline CeO₂ thin films. The validity of the blocking structure was expressly considered with respect to alternate current and gas phase reaction pathways, with criteria developed to aid in identifying spurious effects. The ionic partial conductivity in nanocrystalline CeO₂ thin films was confirmed to be pO₂-independent while the electronic partial conductivity was found to be pO₂ dependent with a power dependence of − 0.31 ± 0.02. These results are compared with theoretical predictions of extrinsically-compensated ceria and previous results on bulk nanocrystalline ceria.     

A coupled lattice Boltzmann model for the shallow water‐contamination system

A coupled numerical method for the direct simulation of shallow water dynamics and pollutant transport is formulated and implemented. The conservation equations of shallow water dynamics equations and the convection–diffusion equations are solved using the lattice Boltzmann (LB) method. The local equilibrium distribution of the pollutant has no terms of second order in flow velocity. And the relaxation time of the pollutant deviates from a constant for the flows with variable free surface water depth. The numerical tests show that this scheme strictly obeys the conservation law of mass and momentum. Excellent agreement is obtained between numerical predictions and analytical solutions in the pure diffusion problem and convection–diffusion problem. Furthermore, the influences on the accuracy of the lattice size and the diffusivity are also studied. The results indicate that the variation in the free surface water depth cannot affect the conservation of the model, and the model has the ability to simulate the complex topography problem. The comparison shows that the LB scheme has the capacity to solve the complex convection–diffusion problem in shallow water. Copyright © 2008 John Wiley & Sons, Ltd.     

Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection

We study the evolution of the support of an arbitrary strong generalized solution to the Cauchy problem for the thin film equation with nonlinear diffusion and convection. We find an upper bound exact (in a sense) for the propagation speed of the support of this solution.     

混合模型中方差分量估计的容许性及非负估计

对含有两个方差分量的线性混合模型, 本文构造了方差分量的一个线性估计类, 它包含许多常见的方差分量估计. 在这个类中我们建立了容许性的必要条件, 据此得到了两个新的改进估计. 最后我们讨论了方差分量的非负估计, 得到了优于方差分析估计和Tatsuya估计的正估计.     

Aromatic nitration using nitroguanidine and EGDN

Acid catalyzed nitration has been examined using a variety of novel nitration agents: guanidine nitrate (GN) and nitroguanidine (NQ) as well as the simple nitrate ester, ethylene glycol dinitrate (EGDN). Reactions with either activated or deactivated aromatic substrates proceed rapidly and in high yield. Regioselectivity was similar for all nitrating agents examined. The synthetic advantages of liquid EGDN include high solubility in organic solvents, strong nitration activity and ease of preparation.     

槽内热磁耦合流动换热数值模拟

数值模拟研究了矩形槽内导电流体由于焦耳热作用和电磁力共同作用引起的流动换热现象.数值结果表明,在给定流体性质情况下,焦耳热作用引起对流为两涡,电磁力作用时获得四涡流动,随Ha数的增加,电磁力驱动对流作用增大,热、磁共同作用时,流场温度场与Ha2Pr/Ra大小有关,从而影响到对流换热的强弱,在临界Ha2Pr/Ra以下,焦耳热引起的对流为主,Ha数增加,减弱换热;在临界日Ha2Pr/Ra以上,电磁力驱动的对流为主,Ha数增加,换热强化.