Numerical analysis of the rotating viscous flow approaching a solid sphere

A numerical simulation is performed to investigate the flow induced by a sphere moving along the axis of a rotating cylindrical container filled with the viscous fluid. Three‐dimensional incompressible Navier–Stokes equations are solved using a finite element method. The objective of this study is to examine the feature of waves generated by the Coriolis force at moderate Rossby numbers and that to what extent the Taylor–Proudman theorem is valid for the viscous rotating flow at small Rossby number and large Reynolds number. Calculations have been undertaken at the Rossby numbers (R_o) of 1 and 0.02 and the Reynolds numbers (R_e) of 200 and 500. When R_o=O(1), inertia waves are exhibited in the rotating flow past a sphere. The effects of the Reynolds number and the ratio of the radius of the sphere and that of the rotating cylinder on the flow structure are examined. When R_o ? 1, as predicted by the Taylor–Proudman theorem for inviscid flow, the so‐called ‘Taylor column’ is also generated in the viscous fluid flow after an evolutionary course of vortical flow structures. The initial evolution and final formation of the ‘Taylor column’ are exhibited. According to the present calculation, it has been verified that major theoretical statement about the rotating flow of the inviscid fluid may still approximately predict the rotating flow structure of the viscous fluid in a certain regime of the Reynolds number. Copyright © 2004 John Wiley & Sons, Ltd.     

Preparation of nanometer MgO by sol-gel auto-combustion

Nanometer MgO was prepared via a sol-gel auto-combustion technique using magnesium nitrate as raw material and citric acid as chelating agent. IR spectra of the dried gel were used to investigate the structure of the precursors. By studying the different TG curves of magnesium citrate gel prepared by different methods, we found that a combustion process occurred and the nitrate ions acted as an oxidant in the combustion process. TEM photographs of synthesized powders from the sol-gel auto-combustion showed that the crystallites were uniform in size. In addition, the XRD pattern of this sample showed that the particle size was 8.9 nm. The BET curves, in turn, showed that the specific surface of the sample was 26.34 m²/g. The mechanism of the frothing process in restraining agglomeration is discussed. __________ Translated from Journal of East China Normal University (Natural Science), 2007, (2): 52–57 [译自: 华东师范大学学报(自然科学版)]     

Indentation responses of piezoelectric films

Frictionless indentation responses of transversely isotropic piezoelectric film/rigid substrate systems under circular cylindrical indenter (i.e., punch), conical indenter (i.e., cone), and spherical indenter (i.e., sphere) are investigated. Both insulating and conducting indenters are considered. The technique of Hankel transformation is employed to derive the corresponding dual integral equations for the mixed boundary value indentation problems. For the two limiting cases of infinitely thick and infinitely thin piezoelectric films, closed-form solutions are obtained. For piezoelectric films of finite thickness, a numerical method is constructed to solve the dual integral equations and semi-empirical models having only two unknown parameters are proposed for the responses of indentation force, electric charge and electric potential, and contact radius. With the two parameters inferred from the numerical results, the semi-empirical formulae are found to provide good estimates of the indentation responses for the two limiting cases of infinitely thick and thin piezoelectric films, as well as those in between. The inferred parameters in the proposed semi-empirical formulae for normalized indentation force and electric charge are checked against four different piezoelectric materials and are found to be insensitive to the selection of piezoelectric materials. It is believed that the proposed semi-empirical indentation formulae are useful in developing experimental indentation techniques to extract the material properties of piezoelectric films.     

浅析公路路基主要病害的原因及防治措施

文章通过对公路路基主要病害产生原因的详细分析,探讨并提出了一系列相应的防治措施。     

《红豺》的生态伦理学解读

生态伦理学是在生态文化的学术背景下兴起的一门学科.文章试图从生态伦理学的学科角度来解读土家族作家李传锋的动物小说力作<红豺>,探讨和挖掘<红豺>中"尊重物种的生命,呼唤人与自然和谐相处"的生态伦理追求.     

脉冲等离子体气相合成氮化硼的研究

以Ｂ２Ｏ３粉扩ＮＨ３为原料，用脉冲等离子体反应器合成ＢＮ，所得产品经Ｘ射线衍射，红外光谱分析表明，产品中除含六方氮化硼外，还含有少量立方氮化硼，生产工艺简单。     

磺化法生产优级溶剂油的实验研究

考察了溶剂油磺化过程中芳烃含量的变化。结果表明，溶剂油中的芳烃在３０～５０℃时与磺化剂反应，并且随着磺化剂加入量的增加，溶剂油中的芳烃逐渐降低，从而达到了溶剂油脱芳烃的目的。     

Krylov子空间投影法研究进展

Ｋｒｙｌｏｖ子空间投影法是一类非常有效的大型稀疏线性代数方程组解法，已被广泛应用于各种领域，随着左右空间Ｌｍ，Ｋｍ的不同取法可以得到许多人们熟知的方法．本文按矩阵Ｈｍ的不同类型，即为上Ｈｅｓｓｅｎｂｅｒｙ阵还是三对角阵将Ｋｒｙｌｏｖ子空间投影法分成两大类，从每步迭代是否具有最优性和方法的存储量、计算量等方面对Ｋｒｙｌｏｖ子空间法及其最新进展进行评述，指出Ｋｒｙｌｏｖ子空间法的局限及今后的研究方向．     

高能重离子碰撞中氦碎片分布的KNO标度无关性研究

本文从簇射粒子分布的 KNO 标度无关性出发,导出了高能重离子碰撞中α粒子分布的 KNO 标度无关性公式.由公式计算的α粒子分布与实验结果相一致.     

Rotational Spectra of Argon Acetone: A Two-Top Internally Rotating Complex

The rotational spectra of the argon acetone weakly bound complex was studied by pulsed jet Fabry-Perot Fourier transform microwave spectroscopy. Over 500 transitions of the complex were measured between 5.5 and 26 GHz from J=2-1 to J=12-11. The two methyl groups undergo hindered internal rotation resulting in four or five internal rotation states. The microwave transitions are within these states, resulting in a splitting of each rotational transition into four and sometimes five distinct transitions. The three-fold barrier to internal rotation is determined to be 260 cm⁻¹, 2% less than the 266 cm⁻¹ barrier in acetone itself. The structure of the complex has the argon atom above the heavy atom plane of the acetone, 3.52 Å from the CO bond and approximately in the C_s plane, which is perpendicular to the CCC plane of acetone.