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非牛顿流体在环管内的不定常旋转流
引用本文:黄军旗 刘慈群. 非牛顿流体在环管内的不定常旋转流[J]. 应用数学和力学, 1995, 16(4): 323-328
作者姓名:黄军旗 刘慈群
作者单位:1.北京师范大学资源与环境科学系 100875;
摘    要:本文研究幂律非牛顿流体在环管内的不定常旋转流。该方程是一非线性方程,在部分因子的稳态近似假设之下,方程被线性化,用Laplace积分变换法我们获得了问题的解。文中给出了几组解曲线,它反映了角向速度的时间演化规律与空间分布特征。另外我们专门研究了幂律指数对流场的影响,该参数的敏感性具有一定的数值界限。这一结果,在有关的工程设计中具有重要的意义。

关 键 词:非牛顿幂律流体   环管旋转流   积分变换   近似解析解
收稿时间:1994-04-18

Unsteady Rotative Flow of Non-Newtonian Fluid In an Annular Pipe
Huang Jun-qi. Unsteady Rotative Flow of Non-Newtonian Fluid In an Annular Pipe[J]. Applied Mathematics and Mechanics, 1995, 16(4): 323-328
Authors:Huang Jun-qi
Affiliation:1.Department of Resources and Environment Sciences, Beijing Normal University, Beijing, 100875;2.Institute of Porous Flow and Fluids Mechanics, Academia Sinica, Lanzhou, 102801
Abstract:This paper studies power law non-Newtonian fluid relative flow in an annular pipe.The governing equation is nonlinear one. We linearized the governing equa-tion by assuming that partial facter is at steady state. With Laplace transform we obtain an analytical solution of the problem. In the paper,several groups of curves are given;these curves reflect the temporal change law and spatial distri-bution of fluid velocity.In addition,we study the effection of power law index on the flow field. The result indicates that when the power law index n<1,theflow velocity is highly sensitive to the index, and this fact is important in re-lated engineering decisions.
Keywords:non-Newtonian power law fluid  annular pipe relative flow   integral transform  approximate solution
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