On transient flow of a reactive variable viscosity third-grade fluid through a cylindrical pipe with convective cooling

被引：7

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：

MECCANICA | 2012年 / 47卷 / 03期

关键词：

Transient pipe flow; Third grade fluid; Variable viscosity; Exothermic chemical kinetics; Finite difference method; NON-NEWTONIAN FLUID; PLATES;

D O I：

10.1007/s11012-011-9476-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper studies the transient flow of a reactive variable viscosity third grade fluid in a cylindrical pipe with convective heat exchange at the pipe surface. It is assumed that exothermic chemical reactions take place in the flow system. 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 physical aspects of the problem are discussed with respect to various parameters embedded in the system.

引用

页码：667 / 685

页数：19

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