Third-order modification of Newton's method

In this paper, we present a new modification of Newton's method for solving non-linear equations. Analysis of convergence shows that the new method is cubically convergent. Numerical examples show that the new method can compete with the classical Newton's method.     

Sampling with Bessel Functions

The paper deals with sampling of σ-bandlimited functions in R^m with Clifford-valued, where bandlimitedness means that the spectrum is contained in the ball B(0, σ) that is centered at the origin and has radius σ. By comparing with the general setting, what is new in the sampling is using the explicit Bochner-type relations involving spherical harmonics and monogenics in the Clifford algebra setting. Convergence of the sampling formulas in the L² sense and in the uniform and absolute pointwise sense are studied. The study was supported by Research Grant of the University of Macau No. RG059/05- 06S/QT/FST.     

The effective thermal conductivity of porous media based on statistical self-similarity

A fractal model is presented based on the thermal-electrical analogy technique and statistical self-similarity of fractal saturated porous media. A dimensionless effective thermal conductivity of saturated fractal porous media is studied by the relationship between the dimensionless effective thermal conductivity and the geometrical parameters of porous media with no empirical constant. Through this study, it is shown that the dimensionless effective thermal conductivity decreases with the increase of porosity (?) and pore area fractal dimension (Df) when ks/kg>1. The opposite trends is observed when ks/kg<1. In addition, the dimensionless effective thermal conductivity decreases with increasing tortuous fractal dimension (Dt). The model predictions are compared with existing experimental data and the results show that they are in good agreement with existing experimental data.     

介孔沸石分子筛的制备

介孔沸石分子筛是一种含有丰富介孔的结晶沸石,它不同于介孔分子筛和微孔沸石的简单机械混合。它不仅具备微孔沸石高的热和水热稳定性、优异的选择性和活性,而且由于介孔的引入改善了其对大分子的吸附和扩散性能,逐渐成为多孔催化材料研究领域的热点。本文主要从模板法、后处理法和前驱体组装法等方法出发,介绍了介孔沸石分子筛最新的制备方法研究进展。通过对比不同制备方法的优缺点,指出各种方法的改进方向,以期寻求一种较优的合成策略,以满足现今催化领域日益苛刻的要求。     

[Cu(C8H16N4O2)0.5{N(CN)2}]n,a novel ladder‐like coordination polymer

A new polymeric copper complex, viz.catena‐poly[[[μ‐N,N′‐bis(3‐amino­propyl)oxa­mid­ato‐κ⁶N,N′,O:N′′,N′′′,O′]­dicopper(II)]‐di‐μ‐dicyan­amido‐1:1′κ²N¹:N⁵;2:2′κ²N¹:N⁵], [Cu₂(C₈H₁₆N₄O₂)(C₂N₃)₂]_n or [Cu(oxpn)_0.5{N(CN)₂}]_n [where H₂oxpn is N,N′‐bis(3‐amino­propyl)­ox­amide], has been ­synthesized by the reaction of Cu(oxpn), [Cu(ClO₄)₂]·6H₂O and NaN₃. In the crystal structure, the Cu atom is five‐coordinate and has a square‐pyrimidal (SP) configuration. In the polymer, dicyan­amide (dca⁻) groups link Cu^II cations in a μ‐1,5‐bridging mode, generating novel ladders in which each step is composed of dimeric [Cu₂(oxpn)]²⁺ cations. Abundant hydrogen bonds connect the polymer ladders into a two‐dimensional network structure.     

鸟体姿态对结构抗鸟撞性能的影响

低于现行标准规定能量的大量鸟撞事故中,航空结构仍然发生实质性破坏的情况,说明只考虑鸟体的质量和速度不足以保证飞机安全。本文中针对弹性平板、雷达罩及机翼前缘等飞机典型结构,开展了不同姿态鸟体的鸟撞分析研究。分析结果发现,鸟体姿态对结构的抗鸟撞性能有比较显著的影响,不同的结构特点反映的响应规律也不同:对吸能结构,姿态角越大,吸收的能量越多,被保护的结构就越安全;而对承力结构,姿态角越大,高应力区域越大,结构就越危险。因此,在结构的抗鸟撞安全性评估中,除了完成特定姿态鸟体的鸟撞实验,针对危险工况还应通过数值分析评估不同鸟体姿态的结构撞击响应,进一步确保结构的抗鸟撞能力。     

类石墨相C3N4光催化剂改性研究

半导体光催化技术不仅可以将太阳能转化为化学能,还可以直接降解和矿化有机污染物,因此其在抑制环境污染和解决能源短缺方面具有广阔的应用前景。类石墨相氮化碳(g-C₃N₄)具有独特的电子能带结构、优异的热稳定性以及化学稳定性,因此g-C₃N₄作为一种廉价的无金属光催化剂被广泛应用于光解水制氢产氧、污染物降解、光催化CO₂还原、抗菌和有机官能团选择性转换等领域。然而,传统热缩聚法合成的g-C₃N₄光催化剂比表面积小、禁带宽度大、光生电子-空穴易于复合、光生载流子传输慢,抑制了其光催化活性。为了进一步提高g-C₃N₄的光催化活性,出现了多种改性方法。本文针对g-C₃N₄光催化剂的改性研究,综述了近年来国内外在g-C₃N₄光催化剂改性方面的重要研究进展,如采用模板法优化g-C₃N₄的纳米结构、元素掺杂及共聚合调控g-C₃N₄的能带结构、贵金属沉积或半导体复合提高光生载流子分离效率等。最后,本文还展望了g-C₃N₄光催化剂在改性方面的未来发展趋势。     

火炮用PCrMo钢激光熔覆MoS2润滑涂层摩擦学性能研究

PCrMo钢是导致火炮系统故障的磨损失效零部件主要材料.为了提高零部件的寿命,将固体润滑技术引入火炮抗磨减磨设计中.选取8 ～ 10 μm和3～5 μm两种粒度下二硫化钼作为固体润滑材料,采用激光熔覆工艺在PCrMo钢试样表面制备润滑涂层.通过对涂层宏观性能表征,发现粒度小的涂层熔覆厚度较好;采用扫描电镜和能谱仪分别对涂层表面、剖面微观形貌和化学成分进行分析,发现涂层表面有凹坑产生,且凹坑中氧的含量明显高于光滑表面;涂层剖面与基体结合处存在一定的缝隙,涂层元素与基体元素发生了熔渗.进一步开展的摩擦磨损试验表明:与PCrMo钢裸基材试样相比,两种粒度下润滑涂层试样摩擦系数和磨损量皆降低,磨损量分别为14.84％和42.01％,其中大粒度下涂层摩擦性能较优.二硫化钼润滑涂层起到了很好的润滑效果,可以作为火炮磨损零部件减磨的有效手段.     

Effect of wall-cooling on Mack-mode instability in high speed flat-plate boundary layers

The instability of the Mack mode is destabilized by wall-cooling in a high speed boundary layer. The aim of this paper is to study the mechanism of the wallcooling effect on the Mack mode instability by numerical methods. It is shown that the wall-cooling can destabilize the Mack mode instability, similar to the previous conclusions with the exception that the Mack mode instability can be stabilized by wall-cooling if the wall temperature is extremely low. The reversed wall temperature is related to a freestream condition. If the Mach number increases to a large enough value, e.g., about7, the reversed wall temperature will tend to be zero. It seems that the Mack mode instability is determined by the region between the boundary layer edge and the critical layer. When the wall temperature decreases, this region becomes wider, and the boundary layer becomes more unstable. Additionally, a relative supersonic unstable mode can be observed when the velocity of the critical layer is less than 1- 1/M a or is cancelled by the wall-cooling effect. These results provide a deeper understanding on the wall-cooling effect in high speed boundary layers.     

Stability analysis method considering non-parallelism: EPSE method and its application

The e-N method is widely used in transition prediction. The amplitude growth rate used in the e-N method is usually provided by the linear stability theory (LST) based on the local parallel hypothesis. Considering the non-parallelism effect, the parabolized stability equation (PSE) method lacks local characteristic of stability analysis. In this paper, a local stability analysis method considering non-parallelism is proposed, termed as EPSE since it may be considered as an expansion of the PSE method. The EPSE considers variation of the shape function in the streamwise direction. Its local characteristic is convenient for stability analysis. This paper uses the EPSE in a strong non-parallel flow and mode exchange problem. The results agree well with the PSE and the direct numerical simulation (DNS). In addition, it is found that the growth rate is related to the normalized method in the non-parallel flow. Different results can be obtained using different normalized methods. Therefore, the normalized method must be consistent.