Effects of slip on the non-linear flows of a third grade fluid

被引：39

作者：

Ellahi, R. ^{[1
]}

Hayat, T. ^{[2
]}

Mahomed, F. M. ^{[3
]}

Asghar, S. ^{[4
]}

机构：

[1] Fac Basic & Appl Sci IIUI, Dept Math & Stat, Islamabad, Pakistan

[2] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

[3] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, Sch Computat & Appl Math, ZA-2050 Johannesburg, Johannesburg, South Africa

[4] COMSATS Inst Informat Technol, Dept Math Sci, Islamabad, Pakistan

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 01期

关键词：

Third grade fluid; Slip condition; Non-linear boundary conditions; Exact solutions; STARTING SOLUTIONS; 2ND-GRADE FLUID; BURGERS FLUID;

D O I：

10.1016/j.nonrwa.2008.10.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present analysis considers the non-linear problems of steady flow of a third-grade fluid between the concentric cylinders. A complete analysis of mathematical modeling is made when no-slip condition is no longer valid. Exact analytic solutions of the following two non-linear problems are derived: (i) when inner cylinder moves and outer cylinder remains stationary and (ii) for inner cylinder at rest and outer cylinder in motion. Graphical results are presented to illustrate the analytic solutions. The corresponding results of no-slip condition are deduced as the limiting cases when the slip parameter is equal to zero. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：139 / 146

页数：8

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