Viscous Dissipation Effect on Steady Natural Convection Couette Flow of Heat Generating Fluid in a Vertical Channel
Abiodun O. Ajibade
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.
Tafida M. Kabir *
Department of Mathematics, Federal College of Education, Zaria, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This article investigates the viscous dissipation effect on steady natural convection Couette flow of heat generating fluid in vertical channel formed by two vertical parallel plates. The dimensionless governing equations are solved analytically using the Homotopy perturbation method (HPM). The temperature and velocity profiles are presented graphically for various values of physical parameters. During the course of investigation, it is found that fluid temperature and velocity increase with the increase in viscous dissipation. However, heat absorption leads to increase in the heat transfer on the heated plate while it decreases on the cold plate. Finally, it is concluded that viscous dissipation is very significant in natural convection problems and should not be ignored in future investigations.
Keywords: Viscous dissipation, natural convection, heat generation/absorption, Couette flow, Homotopy Perturbation Method (HPM)