Some analytical solutions for second grade fluid flows for cylindrical geometries

被引：73

作者：

Hayat, T ^{[1
]}

Khan, M ^{[1
]}

Ayub, M ^{[1
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2006年 / 43卷 / 1-2期

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

页码：16 / 29

页数：14

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