Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 278104, 15 pages
Research Article

Second Law Analysis for a Variable Viscosity Reactive Couette Flow under Arrhenius Kinetics

Faculty of Engineering, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africa

Received 23 May 2009; Accepted 3 May 2010

Academic Editor: Sergio Preidikman

Copyright © 2010 N. S. Kobo and O. D. Makinde. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study investigates the inherent irreversibility associated with the Couette flow of a reacting variable viscosity combustible material under Arrhenius kinetics. The nonlinear equations of momentum and energy governing the flow system are solved both analytically using a perturbation method and numerically using the standard Newton Raphson shooting method along with a fourth-order Runge Kutta integration algorithm to obtain the velocity and temperature distributions which essentially expedite to obtain expressions for volumetric entropy generation numbers, irreversibility distribution ratio, and the Bejan number in the flow field.