On Solutions of Some Non-Linear Differential Equations Arising in Newtonian and Non-Newtonian Fluids

被引：0
|
作者：
M. R. Mohyuddin
T. Hayat
F. M. Mahomed
S. Asghar
A. M. Siddiqui
机构：
[1] Quaid-i-Azam University,Department of Mathematics
[2] University of the Witwatersrand,School of Computational & Applied Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications
[3] Wits,COMSATS
[4] Institute of Information and Technology,undefined
[5] Pennsylvania State University,undefined
来源：
Nonlinear Dynamics | 2004年 / 35卷
关键词：
axisymmetric cylindrical coordinates; inverse methods; non-linear equations; second-grade fluid; steady and unsteady flows; swirling flows;
D O I：
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中图分类号：
学科分类号：
摘要：
Some steady as well as unsteady solutions of the equations of motion for an incompressible Newtonian and non-Newtonian (second-grade) fluids are obtained by applying different methods including the Lie symmetry group method. The flows considered are axially symmetric with the swirling motion, and the governing equations for second-grade fluid flow have been modeled. Expressions for streamlines, velocity and vorticity components are constructed explicitly in each case. Exact analytical solutions in second-grade fluid are obtained and compared with the corresponding viscous solutions.
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页码：229 / 248
页数：19
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