单位圆内代数体函数的充满圆及Borel半径

研究了单位圆内具有有限个分支点的代数体函数,并用覆盖曲面的几何方定义了他们的级和Borel半径,得到了在单位圆内大于1的有穷级代数体函数必存在充满圆及Borel半径.     

Numerical investigations of asymmetric flow of a micropolar fluid between two porous disks

Numerical solution is presented for the two- dimensional flow of a micropolar fluid between two porous coaxial disks of different permeability for a range of Reynolds number Re （-300≤ Re 〈 0） and permeability parameter A （1.0≤A ≤2.0）. The main flow is superimposed by the injection at the surfaces of the two disks. Von Karman＇s similarity transformations are used to reduce the governing equations of motion to a set of non-linear coupled ordinary differential equations （ODEs） in dimensionless form. An algorithm based on the finite difference method is employed to solve these ODEs and Richardson＇s extrapolation is used to obtain higher order accuracy. The results indicate that the parameters Re and A have a strong influence on the velocity and microrotation profiles, shear stresses at the disks and the position of the viscous/shear layer. The micropolar material constants cl, c2, c3 have profound effect on microrotation as compared to their effect on streamwise and axial velocity profiles. The results of micropolar fluids are compared with the results for Newtonian fluids.     

氧化硅/氧化铁复合磨粒用于硬盘基片的抛光研究

本文以HNO3、NaOH、Fe(NO3)3和SiO2浆料为原料,采用沉淀法制备了1种SiO2/Fe2O3复合磨粒,通过X射线衍射仪(XRD)、飞行时间二次离子质谱仪(TOF-SIMS)和扫描电子显微镜(SEM)对其结构进行表征,结果表明Fe2O3包覆到SiO2的表面,复合粒子具有很好的分散性.用UNIPOL-1502抛光机研究了所制备复合磨粒在镍磷敷镀的硬盘基片中的抛光性能,抛光后硬盘基片的表面粗糙度Ra由抛光前的8.87nm降至3.73nm;抛光后表面形貌的显微镜观测结果表明新制备的复合磨粒表现出较好的抛光性能.     

Troubleshooting in the trace analysis of organochlorine pesticides in water samples

Summary As a consequence of the high toxicity of organochlorine pesticides their presence in water for human consumption is limited by legislation. To determine these compounds at trace levels, an extraction procedure and a highly sensitive analytical technique is necessary. In this work we have used laminar disks for the solid-phase extraction of 21 organochlorine pesticides from water. The analytical technique selected is gas chromatography with electron-capture detection. A solid-phase extraction procedure is proposed, and some problems has been encountered. Low recovery of some pesticides has been obtained, because of their adsorption by the walls of containers. To prevent this adsorption, addition of 20% methanol before the sampling step is proposed. Adsorption of pesticides by the organic matter present in water samples was also observed. Pesticides can be adsorbed by the membrane filters usually used to remove suspended particulate matter from water samples. Different kinds of filters have been tested, and the occurrence of the problem has been confirmed. The use of laminar disks in this work has overcome this problem.     

带多重选择的最短路问题:复杂性和算法

本文提出了带出重选择的是短路问题,建立了该问题的数学模型,利用背包问题的一个变形问题－带限制选择的背包问题,证明了该问题是ＮＰ－Ｃ的,最后利用动态规则给出了一个伪多项式算法,其时间复杂性Ｏ（Ｃｈｍｎ）,其中ｈ是最大的选择重数。     

一类带核的平行机排序问题

研究了一类工件具有相似加工时间的带核的平行机排序问题,运用ＬＰＴ算法求解,得到ＬＰＴ算法界的精确估计并对问题的某些情形,给出了界紧的例子。     

MEMS稀薄气体内部流动模拟中的信息保存法

首先综述了处理低速稀薄气体流动的一些方法: 线化Boltzmann方程方法、Lattice Boltzmann方法(LBM)、加滑移边界的Navier-Stokes方程、以及DSMC方法, 并讨论它们在模拟MEMS中过渡领域低速流动特别是内部流动所遇到的困难, 其中表明了LBM现有方案不适合模拟过渡领域中的MEMS流动问题. 信息保存(IP)法通过保存一个模拟分子所代表的大量分子的平均信息,克服了流速低使得信息噪声比小而引起统计模拟的困难. 本文给出了方法的一些理论证实. MEMS中内部流动的特点, 即流速低和大的长宽比的特点, 引起椭圆性问题, 即出入口边界条件相互影响需要协调的问题. 通过对(长约几千微米的)微槽道流动应用IP方法的算例,演示了采用守恒形式的质量守恒方程和超松弛法可成功地解决这一问题. 借助同样的方法,用IP方法求解了真实长度(1\,000\,$\mu$m)硬盘驱动器读写头在过渡领域的薄膜支撑问题, 压力分布与具有严格气体动理论基础的概括化Reynolds方程完全相符, 而在此之前, DSMC方法只对短的读写头(5\,$\mu$m)与Reynolds方程做了校验. 作者建议将原来用于求解读写头润滑问题的Reynolds方程退化来求解过渡领域中的微槽道流动问题, 从而提供了一个有严格气体动理论品性的检验方法来验证求解MEMS内部流动的各种方法.      

Correlations of Active Galactic Nuclei with Microquasars

Correlations of active galactic nuclei （AGNs） with microquasars are discussed based on the coexistence of the Blandford-Znajek （BZ） and magnetic coupling （MC） processes （CEBZMC） in black hole （BH） accretion disk. The proportions of several quantities of BH systems for both AGNs and microquasars are derived by combining the observational data with CEBZMC. It is shown that the square of the magnetic field at the BH horizon is inversely proportional to the BH mass, while the accretion rate of the disk is proportional to the BH mass. In addition, the very steep emissivity indexes from the recent XMM-Newton observations of the nearby bright Seyfert 1 galaxy MCG-6-30-15 and the microquasars XTE J1650-500 are well fitted by considering the MC effects on the disk radiation. These results suggest strongly the correlations of A GNs with microquasars.     

硬弹性聚丙烯的排状堆积片晶

用广角X射线衍射、小角X光散射等手段对硬弹性聚丙烯中排状堆积片晶的形成及结构进行了研究。结果表明,应力场下聚丙烯熔体结晶,得到的硬弹性聚丙烯具有垂直于挤出方向而又平行堆积的片晶结构(即排状堆积片晶)。熔融温度越高,排状堆积片晶所需的熔体拉伸比越高。而随着熔体所受拉伸比的增加,片晶厚度有所增加。随着熔融温度升高,片晶厚度下降。热处理温度在110-120℃之间,片晶厚度随热处理温度升高明显增加。     

Resonant and Stationary Waves in Rotating Disks

The analytical conditions for resonant and stationary waves inrotating disks are presented. These conditions are derived from anonlinear plate theory pertaining to initial configurations and areapplicable to rotating disks with initial waviness and/or undergoinglarge-amplitude displacements. The rotational speeds at which theresonant and stationary waves occur for a 3.5-inch diameter computermemory disk are computed. The resonant waves for linear and nonlinear,rotating disks are simulated numerically. It is found that some diskmodes exhibit a hardening effect under which the rotational speeds forthe resonant and stationary waves increase with increasing waveamplitude, while other modes experience a softening effect with thoserotational speeds decreasing with increasing wave amplitude. Therotating-disk resonant spectrum presented in this paper is relevant tothe disk drive industry for determining the range of operationalrotation speed.