软物质准晶广义流体动力学的一个应用——圆柱绕流的近似解

发布时间：2018-02-20 07:09

本文关键词： 软物质准晶广义流体动力学 Stokes-Oseen流近似解位错　出处：《应用数学和力学》2017年03期 　论文类型：期刊论文

【摘要】：文中报道了笔者建议的软物质准晶广义流体动力学的一个应用——软物质准晶圆柱绕流的近似解.人们熟知,在普通流体动力学中,二维圆柱绕流问题遇到很大的困难,Stokes求解它,未能成功,这就是著名Stokes佯谬.为了克服这一困难,Oseen分析了原因不在边界条件的提法,也不在Stokes的求解,问题出在Navier-Stokes方程,他对方程进行了修改,得到了二维绕流问题的有物理意义的近似分析解.本文借助于Oseen的方法讨论12次对称软物质准晶广义流体动力学二维绕流问题.由于问题比普通流体动力学复杂得多,严格的求解,在目前的条件下是根本不可能的.笔者提出一种近似方法——交替程序去构造其零级近似解,并且把该结果用于软物质准晶的位错问题.
[Abstract]:In this paper, an application of generalized fluid dynamics of soft matter quasicrystal is reported. It is well known that in general hydrodynamics, the two-dimensional flow around a circular cylinder is very difficult to be solved by Stokes, which is an approximate solution to the flow around a quasicrystalline cylinder of soft matter. This is the famous Stokes paradox. In order to overcome this difficulty, Oseen analyses that the reason lies not in the formulation of boundary conditions nor in the solution of Stokes. The problem lies in the Navier-Stokes equation, which he modified. In this paper, the approximate analytical solution of two-dimensional flow problem with physical significance is obtained. In this paper, the two-dimensional flow problem of 12 times symmetric quasicrystal generalized fluid dynamics is discussed by means of Oseen's method. The problem is much more complicated than that of ordinary fluid dynamics. It is impossible to solve it strictly under the present conditions. An approximate method, alternating program, is proposed to construct its zero order approximate solution, and the result is applied to the dislocation problem of quasicrystals in soft matter.
【作者单位】：北京理工大学物理学院;
【基金】：国家自然科学基金(11272053)~~
【分类号】：O357.5

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