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Journal of Advances in Mathematics and Computer Science, ISSN: 2456-9968, ISSN: 2231-0851 (Past),Vol.: 30, Issue.: 1


Viscous Dissipation Effect on Steady Natural Convection Couette Flow of Heat Generating Fluid in a Vertical Channel


Abiodun O. Ajibade1 and Tafida M. Kabir2*
1Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.
2Department of Mathematics, Federal College of Education, Zaria, Nigeria.

Article Information
(1) Dr. Morteza Seddighin, Professor, Indiana University East Richmond, USA.
(1) M. M. Bhatti, Shanghai University, China.
(2) M. G. Sobamowo, University of Lagos, Nigeria.
(3) Kiran D. Devade, Pune University, India.
Complete Peer review History: http://www.sciencedomain.org/review-history/27912


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).

Full Article - PDF    Page 1-16

DOI : 10.9734/JAMCS/2019/45020

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