Analysis of Non-Newtonian Reactive Flow in a Cylindrical Pipe

Author:

Makinde Oluwole Daniel1

Affiliation:

1. Faculty of Engineering, Cape Peninsula University of Technology, P.O. Box 652, Cape Town 8000, South Africa

Abstract

In this paper, a mathematical investigation on the effect of convective cooling on a reactive third-grade fluid flowing steadily through a cylindrical pipe is performed. It is assumed that the system exchange heat, with the ambient following Newton’s cooling law and the reaction, is exothermic under Arrhenius kinetics, neglecting the consumption of the material. The simplified governing nonlinear equations of momentum and energy are obtained and solved using a special type of the Hermite–Padé approximation technique. The important properties of the overall flow structure including velocity field, temperature field, bifurcations, and thermal criticality conditions are discussed.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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