Some analytical solutions for second grade fluid flows for cylindrical geometries

被引:72
|
作者
Hayat, T [1 ]
Khan, M [1 ]
Ayub, M [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
关键词
second grade fluid; exact solutions; cylindrical coordinates; transient flows; hydrodynamic fluid;
D O I
10.1016/j.mcm.2005.04.009
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper deals with some unsteady flow problems of a second grade fluid. The flows are generated by the sudden application of a constant pressure gradient or by the impulsive motion of a boundary. The velocities of the flows are described by the partial differential equations. Exact analytic solutions of these differential equations are obtained. The well known solutions for a Navier-Stokes fluid in the hydrodynamic case appear as the limiting cases of our solutions. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:16 / 29
页数:14
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