Non-linear time-dependent flow models of third grade fluids: A conditional symmetry approach

被引：14

作者：

Aziz, Taha ^{[1
]}

Mahomed, F. M. ^{[1
]}

Ayub, Muhammad ^{[2
]}

Mason, D. P. ^{[1
]}

机构：

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

[2] COMSATS Inst Informat Technol, Dept Math, Abbottabad 22060, Pakistan

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2013年 / 54卷

关键词：

Third grade fluids; Boundary-value problems; Conditional/non-classical symmetry; PARTIAL-DIFFERENTIAL EQUATIONS; 3RD-GRADE FLUID; REDUCTIONS; STABILITY; SURFACE; 2ND;

D O I：

10.1016/j.ijnonlinmec.2013.03.013

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this communication some non-linear flow problems dealing with the unsteady flow of a third grade fluid in porous half-space are analyzed. A new class of closed-form conditionally invariant solutions for these flow models are constructed by using the conditional or non-classical symmetry approach. All possible non-classical symmetries of the model equations are obtained and various new classically invariant solutions have been constructed. The solutions are valid for a half-space and also satisfy the physically relevant initial and the boundary conditions. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：55 / 65

页数：11

共 30 条

[1] Approximate Analytical Solutions for Flow of a Third-Grade Fluid Through a Parallel-Plate Channel Filled with a Porous Medium [J].