Exact analytical solutions for the Poiseuille and Couette-Poiseuille flow of third grade fluid between parallel plates

被引：32
|
作者：
Danish, Mohammad [1 ]
Kumar, Shashi [1 ]
Kumar, Surendra [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Chem Engn, Roorkee 247667, Uttarakhand, India
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 03期
关键词：
Non-Newtonian fluid; Poiseuille flow; Couette-Poiseuille flow; Exact solution; NONLINEAR DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; THIN-FILM FLOW; 3RD-GRADE FLUID; INCLINED PLANE; STABILITY; UNIQUENESS; EXISTENCE;
D O I：
10.1016/j.cnsns.2011.07.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exact analytical solutions for the velocity profiles and flow rates have been obtained in explicit forms for the Poiseuille and Couette-Poiseuille flow of a third grade fluid between two parallel plates. These exact solutions match well with their numerical counter parts and are better than the recently developed approximate analytical solutions. Besides, effects of various parameters on the velocity profile and flow rate have been studied. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1089 / 1097
页数：9
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