柱坐标系z轴邻域内的连续方程

通过分析坐标系中z轴邻域内连续方程的推导，阐明了推导流体力学控制方程时常常被忽略而应注意的几个问题。     

New classes of test polynomials of polynomial algebras

A polynomialp in a polynomial algebra over a field is called a test polynomial if any endomorphism of the polynomial algebra that fixesp is an automorphism. some classes of new test polynomials recognizing nonlinear automorphisms of polynomial algebras are given. In the odd prime characteristic case, test polynomials recognizing non-semisimple automorphisms are also constructed. Project supported by the National Natural Science Foundation of China (Grant No. 19631100) and University of Hong Kong RGC Fundable Grant 344/024/0004.     

RINGS OF HILBERT MODULAR FORMS ON TOTALLY REAL NUMBER FIELDS WITH ODD DEGREE

E. Thomas and A. T. Vasques proved the following result: For any totally real cubic number field K and subgroup $\[\Gamma \]$ of modular type of $\[PS{L_2}({O_K})\]$, the ring of Hilbert modular forms for $\[\Gamma \]$ over k s not Gorenstein ring. In thE present paper the author comes to the same conclusion for any totally real number field of odd degree     

利用有限域GF（2m）上的三项式构造二元循环码

循环码是一类特殊的线性码,由于循环码快速的编码和译码算法,它被广泛应用于消费电子,数据存储以及通信系统当中.在本文中,利用特征是偶数的有限域上的三项式构造出了两类二元循环码,我们不仅可以确定出这两类循环码最小距离的下界,而且这两类循环码在参数的选取上非常的灵活.     

A multiscale model for analyzing the synergy of CS and WSS on the endothelium in straight arteries

A multiscale model was proposed to calculate the circumferential stress (CS) and wall shear stress (WSS) and analyze the effects of global and local factors on the CS, WSS and their synergy on the arterial endothelium in large straight arteries. A parameter pair [Zs,SPA] (defined as the ratio of CS amplitude to WSS amplitude and the phase angle between CS and WSS for different harmonic components, respectively) was proposed to characterize the synergy of CS and WSS. The results demonstrated that the CS or WSS in the large straight arteries is determined by the global factors, i.e. the preloads and the afterloads, and the local factors, i.e. the local mechanical properties and the zero-stress states of arterial walls, whereas the Zs and SPA are primarily determined by the local factors and the afterloads. Because the arterial input impedance has been shown to reflect the physiological and pathological states of whole downstream arterial beds, the stress amplitude ratio Zs and the stress phase difference SPA might be appropriate indices to reflect the influences of the states of whole downstream arterial beds on the local blood flow-dependent phenomena such as angiogenesis, vascular remodeling and atherosgenesis. The project supported by the National Natural Science Foundation of China (10132020 and 10472027). The English text was polished by Yunming Chen.     

非牛顿流体力学研究的若干进展

简要介绍微极性流体,应力偶流体,非整数阶Maxwell流体和智能流体的基本概念,通过简单的例子阐述它们与牛顿流体的本质差别,并介绍非牛顿流体在以上热点研究领域的若干进展．     

电流变离合器内屈服面瞬态特性研究

研究同心圆筒型电流变离合器内流动屈服面的瞬态响应规律。结果表明：在突加电场情况下,电流变液屈服应力公式中的参数β对流动屈服面的动态特性规律有重要影响。初始时刻,屈服面在筒壁生成,在向间隙内移动的过程中;若β>2.0,屈服面总是先产生于内筒外壁,若β<2.0,屈服面总是先产生于外筒内壁。     

Preparation and characterization of a novel Si-incorporated ceramic film on pure titanium by plasma electrolytic oxidation

A Si-incorporated bioactive ceramic film was prepared on pure titanium by plasma electrolytic oxidation (PEO) in a new bath containing Ca²⁺, H₂PO₄⁻ and SiO₃²⁻. The film was characterized by scanning electron microscopy (SEM), X-ray diffraction (XRD) and X-ray photoelectron spectroscope (XPS). The apatite-induced ability of PEO film was evaluated by soaking in a simulated body fluid (SBF) for various periods. The results showed that Si-incorporated PEO film present a porous microstructure, the pore size is around 1–5 μm. The film mainly consists of anatase and rutile and a small amount of CaHPO₄ and CaO, besides, bioactive compounds such as CaSiO₃ and SiO₂, also exist in the Si-incorporated PEO film. After immersion in SBF for 28 days, not only the surface layer but also the pores inside the Si-incorporated PEO film were completely filled by apatite crystals, whereas on the surface of a benchmark PEO film free of Si just present small piles of apatite crystals. Silicon incorporated into the PEO film provided more heterogeneous nucleation sites for apatite deposition and hence increased remarkably bioactivity of the PEO film.     

Maxwell泥床上线性长波衰减的研究

用Maxwell模型作为非牛顿泥床本构,建立了一组新的Boussinesq型方程组,以描述波-泥相互作用下水波的传播. 基于该方程,解析给出了一维线性长波衰减率的表达式. 当泥层模型退化到牛顿流体时,该结果与前人文献的结果一致. 当无量纲松弛时间λ较大时,衰减率随泥深近似地出现周期性的极值现象,这些极值位置对应泥层中各阶模态的衰减率峰值.