Inherent irreversibility and thermal stability for steady flow of variable viscosity liquid film in a cylindrical pipe with convective cooling at the surface
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 12 January 2010
Abstract
Purpose
The purpose of this paper is to investigate the inherent irreversibility and thermal stability in the flow of a variable viscosity fluid through a cylindrical pipe with convective cooling at the surface.
Design/methodology/approach
The non‐linear momentum and energy equations governing the flow are solved analytically using a perturbation method coupled with a special type of Hermite‐Padé approximation technique implemented numerically on MAPLE.
Findings
Expressions for dimensionless velocity and temperature, thermal criticality conditions and entropy generation number are obtained. A decrease in the fluid viscosity enhances both entropy generation rate and the dominant effect of heat transfer irreversibility near the wall
Originality/value
This paper presents the application of the second law of thermodynamics and a special type of Hermite‐Padé approximation technique to variable viscosity cylindrical pipe flow with convective cooling at the wall.
Keywords
Citation
Makinde, O.D. and Maserumule, M. (2010), "Inherent irreversibility and thermal stability for steady flow of variable viscosity liquid film in a cylindrical pipe with convective cooling at the surface", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 20 No. 1, pp. 5-16. https://doi.org/10.1108/09615531011008091
Publisher
:Emerald Group Publishing Limited
Copyright © 2010, Emerald Group Publishing Limited