An almost second order uniformly convergent scheme for a singularly perturbed initial value problem

In this paper a nonlinear singularly perturbed initial problem is considered. The behavior of the exact solution and its derivatives is analyzed, and this leads to the construction of a Shishkin-type mesh. On this mesh a hybrid difference scheme is proposed, which is a combination of the second order difference schemes on the fine mesh and the midpoint upwind scheme on the coarse mesh. It is proved that the scheme is almost second-order convergent, in the discrete maximum norm, independently of singular perturbation parameter. Numerical experiment supports these theoretical results.     

Perturbation solution to heat conduction in melting or solidification with heat generation

The Stefan problem involving a source term is considered in this technical note. As an example, planar solidification with time-dependent heat generation in a semi-infinite plane is solved by use of a perturbation technique. The perturbation solution is validated by reducing the problem to the case without heat generation whose exact solution is available. An application to the case with constant heat generation is presented, for which a closed-form solution is obtained. The effects of heat generation and Stefan number on the evolution of solidification are examined using the perturbation solution.     

四阶奇异摄动边值问题在自适应网格上的一致收敛分析

we study a difference scheme for the fourth-order singular pertur-bation differential equation on the Bakhvalov-Shishkin grid by Green‘‘s function.The method is shown to be uniformly convergent with respect to the perturbation parameter,of order N^-2 in the maxmum norm on Bakhvalov-Shishkin meshes.Numerical results support our theoretical results.     

气体示踪法研究燃烧器横向湍流混合扩散特性

用气体示踪法对侧边风燃烧器弱旋流一次风和侧边直流二次风横向湍流混合扩散特性进行了详细研究，讨论了各截面混合物浓度分布规律及混合强度分布规律，分析对燃料着火的影响，同时利用湍流运动方程反算气体湍流扩散系数     

Textile/Metal–Organic‐Framework Composites as Self‐Detoxifying Filters for Chemical‐Warfare Agents

The current technology of air‐filtration materials for protection against highly toxic chemicals, that is, chemical‐warfare agents, is mainly based on the broad and effective adsorptive properties of hydrophobic activated carbons. However, adsorption does not prevent these materials from behaving as secondary emitters once they are contaminated. Thus, the development of efficient self‐cleaning filters is of high interest. Herein, we report how we can take advantage of the improved phosphotriesterase catalytic activity of lithium alkoxide doped zirconium(IV) metal–organic framework (MOF) materials to develop advanced self‐detoxifying adsorbents of chemical‐warfare agents containing hydrolysable P? F, P? O, and C? Cl bonds. Moreover, we also show that it is possible to integrate these materials onto textiles, thereby combining air‐permeation properties of the textiles with the self‐detoxifying properties of the MOF material.     

Separation Study of Eight Isoflavones by MEKC with Different Surfactants

Isoflavones are a very important group of natural products. This study investigated the separation of eight isoflavones, namely ononin, daidzin, genistin, biochanin A, formononetin, puerarin, genistein, and daidzein, from pueraria by micellar electrokinetic chromatography (MEKC) with different surfactants. The following micellar systems of MEKC were systematically compared for the analysis of these isoflavones: (1) a single surfactant comprising the anionic surfactant sodium dodecyl sulfate (SDS), the cationic surfactant hexadecyltrimethylammonium bromide, the neutral surfactant polyoxyethylene sorbitan monolaurate (Tween 20), and the ionic liquid-type surfactant (also a cationic surfactant) 1-dodecyl-3-methylimidazolium tetrafluoroborate (C₁₂MIMBF₄); (2) different single surfactants with 1-butyl-3-methylimidazolium tetrafluoroborate (BMImBF₄) as an additive (modifier); and (3) mixed micelles of SDS + Tween 20 and C₁₂MIMBF₄ + Tween 20. Both SDS with BMImBF₄ as additive and mixed micelles of SDS + Tween 20 had the highest separation efficiency for the eight investigated compounds. Furthermore, the SDS with BMImBF₄ as additive was more stable (good repeatability of retention time and peak shape of analytes) than mixed micelles of SDS + Tween 20, which may be the result of a stabilizing effect of BMImBF₄. Therefore, the final analytical conditions were 15 mM SDS added with 50 mM BMImBF₄ in 30 mM sodium tetraborate (STB, pH 9.5) as running buffer; applied voltage, 20 kV; injection, 50 mbar for 5 s; cartridge temperature, 25 °C; compounds were detected at 260 nm. The developed method was fully validated (limit of detection, limit of quantification, intraday precision, inter-day precision, and recovery) and successfully applied to determine the eight analytes in three Radix Puerariae samples. The present study indicated that SDS with ionic liquids as additive in MEKC was suitable for the analysis of isoflavones.

     

Particle concentration and particle size measurements in a particle laden turbulent free jet

Particle concentration and particle size distribution curves have been measured for particle-laden jets of silica gel powder for different loading ratios and air velocities using a Laser Diffraction Method (LDM) and a tomography data transform technique. It was found that the mean particle size at the outer edge of the jet decreases with increasing gas velocity, and that the jet widens with decreasing particle concentration and increasing gas velocity.