Analysis of transient Generalized Couette flow of a reactive variable viscosity third-grade liquid with asymmetric convective cooling

被引：36

作者：

Chinyoka, T. ^{[1
]}

Makinde, O. D. ^{[2
]}

机构：

[1] Univ Cape Town, Ctr Res Computat & Appl Mech, ZA-7701 Rondebosch, South Africa

[2] Cape Peninsula Univ Technol, Inst Adv Res Math Modeling & Computat, ZA-7535 Bellville, South Africa

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 1-2期

关键词：

Transient Generalized Couette flow; Third grade fluid; Variable viscosity; Exothermic chemical kinetics; Finite difference method;

D O I：

10.1016/j.mcm.2011.01.047

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this study, we investigate the transient problem of Generalized Couette flow and heat transfer in a reactive variable viscosity third grade liquid with asymmetric convective cooling. It is assumed that exothermic chemical kinetics takes place in the flow system and the convective heat exchange with the ambient temperature at the channel surface follows Newton's law of cooling. The coupled nonlinear partial differential equations governing the problem are derived and solved numerically using an unconditionally stable and convergent semi-implicit finite difference scheme. Both numerical and graphical results are presented and discussed quantitatively with respect to various parameters embedded in the problem. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：160 / 174

页数：15

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