关于非牛顿流体衰减性的一个注记

In the study of long time asymptotic behaviors of the solutions to a class system of the incompressible non-Newtonian fluid flows in R3, it is proved that the weak solutions decay in L2 norm at (1+t) and the error of difference between non-Newtonian fluid and linear equation is also investigated. The findings are mainly based on the classic Fourier splitting methods.     

纤维素类手性色谱固定相的制备及其应用

对映体的分离、分析及检测是目前医药与生化领域研究的热点之一。使用手性固定相并通过高效液相色谱直接拆分手性消旋体是现行单一对映体获取最直接且有效的手段之一,其中长链多糖类化合物如纤维素衍生物具有较强的手性识别能力,以此作为手性识别体的手性色谱固定相占有广阔的市场。本文对现有纤维素类手性色谱固定相的制备方法加以分类,评述了近年来该类别涂敷型、键合型及杂化型手性固定相的制备新方法,总结了采用衰减全反射傅里叶变换红外光谱技术、X射线衍射、固体核磁、密度泛函理论模拟等手段研究其手性识别机理的研究进展,综述了其在制备型超临界流体色谱和模拟移动床色谱中的应用情况。今后,对纤维素手性固定相的研究将主要集中在改善手性识别性能、提高样品处理能力以及降低溶剂消耗等方面,因此新型手性识别体的开发和负载方式的优化革新将是新一代手性固定相的研究关键,同时,应用领域的拓宽也将是其重要的发展方向之一。     

关于流体力学中的几个基本概念的再解读

对流体力学课程中的几个基本概念,如:变形、连续介质假设、流体微团、欧拉描述等,进行了深入解读,探讨了这些概念所代表的本来含义以及所可能产生的疑惑与误区.通过解读分析,能够澄清学生的一些模糊认识,帮助学生从正反两方面理解这些概念,建立起对流体力学的基本的正确的认知.     

A Weakly Nonlinear Model for Kelvin-Helmholtz Instability in Incompressible Fluids

A weakly nonlinear model is proposed for the Kelvin-Helmholtz instability in two-dimensional incompressible fluids by expanding the perturbation velocity potential to third order. The third-order harmonic generation effects of single-mode perturbation are analyzed, as well as the nonlinear correction to the exponential growth of the fundamental modulation. The weakly nonlinear results are supported by numerical simulations. Density and resonance effects exist in the development of mode coupling.     

“暗流体”简介

关于暗流体(Dark fluid)的提出,还要从两个星系团内明、暗物质的分布谈起:子弹星系团在中心发光物质的两侧分布着引力很强的暗物质,而Abell520星系团所显示的景象则是一个被热气体环绕着的暗物质核心,但其周围却不见普通星系的踪迹.     

Analytic Solution for Magnetohydrodynamic Stagnation Point Flow towards a Stretching Sheet

A steady two-dimensional magnetohydrodynamic stagnation point flow towards a stretching sheet with variable surface temperature is investigated. The analytic solution is obtained by homotopy analysis method. The convergence region is computed and the feature of the solution is discussed.     

应力偶流体的精确解

应力偶流体是一种粘性介质,其中悬浮着刚性的、随机排列的粒子,在科学和工程技术、医疗临床中具有广泛的应用背景和现实意义.本文采用逆方法研究并获得了应力偶流体的定常和非定常精确解.所得结果表明应力偶流体运动特性不仅依赖于物质粘性常数,而且强烈地依赖于应力偶流体特有的与固体颗粒尺度有关的物性常数.这些精确解为实验,数值以及渐近解的检验提供了借鉴和参考.     

Some exact solutions of the oscillatory motion of a generalized second grade fluid in an annular region of two cylinders

The velocity field and the associated shear stress corresponding to the longitudinal oscillatory flow of a generalized second grade fluid, between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. Initially, the fluid and cylinders are at rest and at t = 0＋ both cylinders suddenly begin to oscillate along their common axis with simple harmonic motions having angular frequencies Ω1 and Ω2. The solutions that have been obtained are presented under integral and series forms in terms of the generalized G and R functions and satisfy the governing differential equation and all imposed initial and boundary conditions. The respective solutions for the motion between the cylinders, when one of them is at rest, can be obtained from our general solutions. Furthermore, the corresponding solutions for the similar flow of ordinary second grade fluid and Newtonian fluid are also obtained as limiting cases of our general solutions. At the end, the effect of different parameters on the flow of ordinary second grade and generalized second grade fluid are investigated graphically by plotting velocity profiles.     

植物导水模型初探

目前世界上对于植物长距离水分运输的微观机理假说存在争论。据此本文初步讨论了植物的导水模型。从流体力学角度讨论了水分在植物体内的运动状态,得出导管中的水分流动是在层流的状态下进行,且必须考虑粘性的作用;通过分析流体的层流运动,建立了导管中一维的流体模型,并简化导管以连续的梯形圆柱排列;分析受力,列出N-S方程,并求解出了一维导管模型的半径与压力梯度和各节管长的关系表达式。研究结果表明,模型中每一节导管的水受力都是平衡的,且各节之间相互独立。     

Two sample applications of a classical isoperimetric problem of the calculus of variations to fluid mechanical problems in fluidization and spouting

This paper is devoted to outlining precisely the basic mathematics of a classical isoperimetric problem of the calculus of variations and showing how significant fluid mechanical problems in fluidization and spouting can be addressed using this approach.