基于实验合理外推线圈在辐向磁场中的受力情况

单匝线圈在辐向磁场中的受力情况,很多教师都用纯数学方法(微元法)推导出其有效长度为线圈周长.文章用音频电流通过方形线圈,依次增加磁铁的个数让学生感觉音量的变化,并进一步合理外推出同样的结论.不仅能让学生体会基于实验合理外推这一科学的研究方法,还能让学生对扬声器的工作原理有清晰的认识.     

On the Generalized Porous Medium Equation in Fourier-Besov Spaces

We study a kind of generalized porous medium equation with fractional Laplacian and abstract pressure term. For a large class of equations corresponding to the form: $u_t+\nu \Lambda^{\beta}u=\nabla\cdot(u\nabla Pu)$, we get their local well-posedness in Fourier-Besov spaces for large initial data. If the initial data is small, then the solution becomes global. Furthermore, we prove a blowup criterion for the solutions.     

Vortex‐assisted liquid–liquid microextraction using a low‐toxicity solvent for the determination of five organophosphorus pesticides in water samples by high‐performance liquid chromatography

Vortex‐assisted liquid–liquid microextraction followed by high‐performance liquid chromatography with UV detection was applied to determine Isocarbophos, Parathion‐methyl, Triazophos, Phoxim and Chlorpyrifos‐methyl in water samples. 1‐Bromobutane was used as the extraction solvent, which has a higher density than water and low toxicity. Centrifugation and disperser solvent were not required in this microextraction procedure. The optimum extraction conditions for 15 mL water sample were: pH of the sample solution, 5; volume of the extraction solvent, 80 μL; vortex time, 2 min; salt addition, 0.5 g. Under the optimum conditions, enrichment factors ranging from 196 to 237 and limits of detection below 0.38 μg/L were obtained for the determination of target pesticides in water. Good linearities (r > 0.9992) were obtained within the range of 1–500 μg/L for all the compounds. The relative standard deviations were in the range of 1.62–2.86% and the recoveries of spiked samples ranged from 89.80 to 104.20%. The whole proposed methodology is simple, rapid, sensitive and environmentally friendly for determining traces of organophosphorus pesticides in the water samples.     

Simple high-performance liquid chromatography-ultraviolet method for simultaneous separation and detection of 14 bisphenol pollutants in building materials

A high-performance liquid chromatography-ultraviolet method was developed for rapidly and simultaneously analyzing novel and typical bisphenols in building materials, including bisphenol S, diphenolic acid, bisphenol F, bisphenol E, bisphenol A, bisphenol B, bisphenol AF, bisphenol AP, bisphenol C, bisphenol FL, bisphenol Z, bisphenol BP, bisphenol M, and bisphenol P. By using a Kromasil 100–5 C18 column, these bisphenols were completely separated in 40 min via gradually increasing the concentration of methanol in the mobile phase from 45 to 80% during the elution process. In particular, this method achieved the synchronous analysis of bisphenol S, diphenolic acid, bisphenol FL, bisphenol BP, and bisphenol M through HPLC, which were difficult to separate and had to be identified and detected through mass spectrometry. The limits of detection of the method ranged from 0.002 to 0.040 mg/L for these 14 bisphenols, with a precision of less than 4.9% (n = 7, c = 0.05 mg/L). The analytical results for five types of building materials (phenolic, epoxy, polycarbonate, polyester, and polysulfone resins) indicated that the proposed method is appropriated for the rapid measurement of bisphenols in real samples.     

表面形貌控制增强铁基载氧体与褐煤化学链燃烧反应活性

为探究载氧体形貌控制获取适用于化学链燃烧的高活性表面结构载氧体的可行性,以Fe2O3作为模型载氧体,从理论上对比研究Fe2O3的高弥勒指数晶面(104)和Fe2O3自然裸露的最主要晶面之一(001)的表面电子特性,结果表明,Fe2O3(104)的电子结构更有利于表面与煤模型分子的相互作用.基于理论分析结果,从实验上控制制备了单晶载氧体Fe2O3(104)/Al2O3,研究了该载氧体与褐煤的化学链燃烧反应特性.Fe2O3(104)/Al2O3比传统浸渍法制备的载氧体Fe2O3/Al2O3具有更高的反应活性,与理论计算结果一致.元素分析表明,Fe2O3(104)/Al2O3与褐煤反应的积碳量远少于Fe2O3/Al2O3与褐煤反应的积碳量.对比新鲜载氧体及再生后载氧体的结构发现,Fe2O3(104)/Al2O3在反应过程中不断进行氧化还原反应而发生结构弛豫后,仍然能通过氧化再生.这表明形貌控制制备可为化学链燃烧技术开发新型高效载氧体提供新思路.     

三维问题的随机界面元法

在研究岩土工程的整体稳定可靠度分析及二维随机界面元法的基础上，建立了等参随机界面元法的数学模型，推导了基本公式，编制了计算程序，以均质边坡的抗滑可靠度分析作为数值算例，并就计算结果进行了分析和探讨．     

Synthesis of Allyl-Type Selenides and α-Selenoesters in Aqueous Media Promoted by Cadmium

Promoted by metallic cadmium which was produced by reduction of CdCl₂ H₂O with samarium in situ, allyl bromide and α-bromocarboxylates react with diorgano diselenides in aqueous solutions to give allylic-type selenides and α-selenocarboxylates in moderate to good yields.     

The Aldol Condensation Catalyzed by Metal(II)-β-cyclodextrin Complexes

Aldol-condensation reaction were catalyzed by use of metal(II)-β-cyclodextrin systems. The β-hydroxy ketones were obtained in a good yield. The resulting products were optically active.