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Oldroyd B流体依时性管内流动的变分解析方法
引用本文:韩式方,Ramki.,H.Oldroyd B流体依时性管内流动的变分解析方法[J].应用数学和力学,1995,16(2):155-164.
作者姓名:韩式方  Ramki.  H
作者单位:中国科学院成都分院非牛顿流体力学实验室
基金项目:第三世界科学院和中国国家自然科学基金,中国国家自然科学基金和中国科学院资助
摘    要:在本文中,研究上随体Oldroyd B流体在水平管内依时性流动,该问题可归结为无量纲速度分量三阶偏微分方程的初边值问题,采用改进的Kantorovich方法,将该方程化为各级近似的二阶常微分方程组的初值问题,通过Laplace变换,求得其二阶常微分方程的解析解。在本文中,提出了变分解析的新概念,获得了二级近似变分解析解,其中包括常压力力梯度和周期性压力梯度两种情形,应用计算机符呈处理和Laplac

关 键 词:非牛顿流体  依时性流体  变分-解析法  O-B流体

A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube
Han Shi-fang.A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube[J].Applied Mathematics and Mechanics,1995,16(2):155-164.
Authors:Han Shi-fang
Abstract:In the present investigation the time dependent flow of an Oldroyd fluid B in a horizontal cylindrical pipe is studied by the variational analytical approach developed by the author. The time dependent problem is mathematically reduced to a partial differential third order equation. Using the improved variational approach due to Kantorovich the partial differential equation can be reduced to a system of ordinaiy differential equations for different approximations.The ordinary differential equations are solved by the method of the Laplace transform which led to an analytical form of the solutions.
Keywords:Oldroyd fluid B  non-Newtonian fluid  time dependent flow  variational-analytical approach  improved approach due to                  Kantorovich  
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