Local Artificial Boundary Conditions for the Incompressible Viscous Flow in a Slip Channel

1.IntroductionManyboundaxyvaJueproblemsofpartialdiffereotialequationsinvo1vingunboundeddomainoccurinmanyareasofapplications,e-g.lfluidflowaroundobstacles,couplingofstructureswithfoundationandsoon.Forgettingthenumericalsolutionsoftheproblemsonunboundeddomian,anaturalapproachistocutoffanunboundedpartofthedomainbyintroducinganartificialboundaryandsetupanaPpropriatear-tificialboundaryconditiononthearti%ialboundaryThentheoriginalproblemisapproximatedbyaproblemonbou.d.dfdomain.Inthelastteny6aJrs,b…     

NiFe双氢纳米粒子有效提高BiVO4光阳极光电化学水分解性能

近年来, 太阳能驱动的光电化学水分解作为一种高效、环保、可持续的技术, 已经引起了广泛的关注. 为了更好地使用光电化学技术将太阳能转化为化学能, 至关重要的是提高光电极材料的光吸收和光转化效率. BiVO4禁带宽度(Eg=2.4-2.5 eV)小, 具有很好的可见光响应能力, 因此BiVO4光电极材料引起了广泛关注. 但是, 当单独BiVO4作为光电阳极材料时, 电子-空穴对分离弱、载流子传输慢, 从而使BiVO4不能很好地在光电化学水分解中发挥作用. 为了缓解或解决此类限制性因素, 本课题组通过水热法合成了NiFe双氢纳米粒子, 并将其负载于BiVO4电极表面, 光电催化分解水实验表明其产氢效率得到大幅度提高. 同时制备了Ni(OH)2/BiVO4和Fe(OH)2/BiVO4电极并用于研究NiFe/BiVO4电极的反应机理. 在上文基础上, 本文采用电子扫描电镜(SEM)、高分辨投射电镜(HRTEM)、X射线衍射(XRD)、紫外可见漫反射(UV-Vis DRS)等表征手段和线性扫描伏安法(LSV)和电流时间(I-t)等对其光电化学活性进行了测试, 研究了NiFe/BiVO4电极在发生水氧化时的反应机理. SEM结果表明, Ni(OH)2是以纳米片组成的纳米球负载于多孔BiVO4表面; 而当Fe(OH)2负载于BiVO4表面时, BiVO4的纳米尺寸减小; NiFe-LDH纳米粒子负载于BiVO4表面时, 可以明显看见BiVO4纳米颗粒表面包裹着一层更小的纳米粒子.这证明了Ni(OH)2, Fe(OH)2和NiFe-LDH纳米粒子均成功负载于BiVO4表面. 这也得到HRTEM结果的确认. UV-Vis DRS结果表明NiFe-LDH纳米粒子能有效拓宽BiVO4的吸收边, 从而增加对可见光的吸收, 增加了对光的利用率. LSV测试结果表明, 暗反应条件下Ni(OH)2/BiVO4比NiFe/BiVO4和Fe(OH)2/BiVO4电极的起始电位更低, 说明Ni(OH)2有更好的传输电子性能; 而在光照条件下, 在同一电位时NiFe/BiVO4比Ni(OH)2/BiVO4和Fe(OH)2/BiVO4电极的光电流值更高. 值得注意的是, 此时Ni(OH)2/BiVO4比Fe(OH)2/BiVO4电极的光电流值低, 这又说明Fe(OH)2比Ni(OH)2对光更敏感. 因此当NiFe-LDH纳米粒子负载于BiVO4表面时, 不仅提高了BiVO4光电极的光吸收效率, 而且加速了载流子的传输从而抑制了光生电子-空穴的复合, 使反应过程中的量子效率得到提高.     

Error bounds for the finite element approximation of an incompressible material in an unbounded domain

Summary. In this paper we design high-order local artificial boundary conditions and present error bounds for the finite element approximation of an incompressible elastic material in an unbounded domain. The finite element approximation is formulated in a bounded computational domain using a nonlocal approximate artificial boundary condition or a local one. In fact there are a family of nonlocal approximate artificial boundary conditions with increasing accuracy (and computational cost) and a family of local ones for a given artificial boundary. Our error bounds indicate how the errors of the finite element approximations depend on the mesh size, the terms used in the approximate artificial boundary condition and the location of the artificial boundary. Numerical examples of an incompressible elastic material outside a circle in the plane is presented. Numerical results demonstrate the performance of our error bounds. Received August 31, 1998 / Revised version received November 6, 2001 / Published online March 8, 2002     

Conformation and dynamics of biopharmaceuticals: Transition of mass spectrometry-based tools from academe to industry

Mass spectrometry plays a very visible role in biopharmaceutical industry, although its use in development, characterization, and quality control of protein drugs is mostly limited to the analysis of covalent structure (amino acid sequence and post-translational modifications). Despite the centrality of protein conformation to biological activity, stability, and safety of biopharmaceutical products, the expanding arsenal of mass spectrometry-based methods that are currently available to probe higher order structure and conformational dynamics of biopolymers did not, until recently, enjoy much attention in the industry. This is beginning to change as a result of recent work demonstrating the utility of these experimental tools for various aspects of biopharmaceutical product development and manufacturing. In this work, we use a paradigmatic protein drug interferon β-1a as an example to illustrate the utility of mass spectrometry as a powerful tool not only to assess the integrity of higher order structure of a protein drug, but also to predict consequences of its degradation at a variety of levels.     

Effect of MWCNTs Doping on the Morphology,Structure and Properties of Chitosan Beads

A series of chitosan (CS)/multi-walled carbon nanotubes (MWCNTs) composite hydrogel beads with different MWCNTs contents are prepared via a solution blending method. The effects of MWCNTs on the morphology, structure and properties of chitosan beads have been investigated. Digital pictures show that the composite beads obtained are of good morphological characteristics, and the SEM micrographs indicate that the addition of MWCNTs into CS beads made the surface of the CS/MWCNTs hydrogel beads contain much larger wrinkles. Fourier transform infrared spectra (FTIR) show that the main chain of CS bead is not changed, but there are some electrostatic interactions between CS and MWCNTs, which lead to very significant changes in the crystallization behavior of CS and MWCNTs. The thermal stability of CS/MWCNTs composites at high temperatures is increased with the existence of MWCNTs, indicating a possible electrostatic interaction between MWCNTs and CS lattices to limit the motivation of CS. The adsorption capacity of CS beads doped with a lower percentage of MWCNTs (0.02 wt%) for acid fuchsin is 112.76 mg/g, higher than that of pure CS beads (35.62 mg/g).     

Synthesis of propionate motifs: diastereoselective tandem reactions involving anionic and free radical based processes

Reported herein is a strategy employing a Mukaiyama reaction in tandem with a hydrogen transfer reaction for the elaboration of propionate motifs. The nature of the protecting groups on the chiral beta-alkoxy aldehyde and the type of Lewis acid used are varied to modulate the stereochemical outcome of the tandem reactions. The mode of complexation is thus controlled (monodentate or chelate) for the Mukaiyama reaction to give access to either syn or anti aldol products, precursors of the free radical reduction reaction. The endocyclic effect is subsequently capitalized upon to control the hydrogen transfer step so that the syn-reduced product may be achieved. Proceeding with excellent yield and diastereoselectivity, the synthetic sequence proposed gives access to syn-syn and syn-anti propionate motifs. Also considered is a complementary approach using a chelation-controlled Mukaiyama reaction in tandem with a free radical allylation reaction under the control of the endocyclic effect that leads to the anti-anti product.