Table of Contents
ISRN Applied Mathematics
Volume 2011, Article ID 287691, 13 pages
Research Article

Second Law Analysis of Mixed Convection in a Laminar, Non-Newtonian Fluid Flow through a Vertical Channel

Department of Mechanical Engineering, Cleveland State University, Cleveland, OH 44115, USA

Received 15 June 2011; Accepted 7 July 2011

Academic Editors: R. Couturier and D. Spinello

Copyright © 2011 Rama Subba Reddy Gorla. 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.


The fully developed mixed convection of non-Newtonian laminar flow through a vertical channel is investigated. The boundary conditions of uniform and unequal temperature prescribed at the channel walls are considered. The velocity and temperature fields are obtained by analytically solving the momentum and energy balance equations. The velocity and temperature distributions are used to calculate the entropy generation number ( 𝑁 𝑆 ), the irreversibility ratio (Φ), and the Bejan number (Be) for several values of the viscous dissipation parameter ( B r Ξ© βˆ’ 1 ), the viscosity index ( 𝑛 ), and the appropriate dimensionless coordinates. The results show us the regions of high entropy generation.