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Research Article Open access CC BY 4.0

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

Abiodun O. Ajibade, Tafida M. Kabir

Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 21 Dec 2018

10.9734/JAMCS/2019/45020

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.

Viscous dissipation natural convection heat generation/absorption Couette flow Homotopy Perturbation Method (HPM)

Cited by 18

Combined effects of viscous and Darcy dissipation on mixed convection flow in a composite vertical channel partially filled with a porous material: Analytical approach

Abiodun O. Ajibade, Basant K. Jha, Jeremiah J. Gambo · International Communications in Heat and Mass Transfer · 2022

Buoyancy effect on magnetohydrodynamic radiative flow of Casson fluid with Brownian moment and thermophoresis

S. P. Samrat, M. Girinath Reddy, N. Sandeep · The European Physical Journal Special Topics · 2021

COMBINED EFFECT OF THERMAL RADIATION AND VISCOUS DISSIPATION ON UNSTEADY FREE CONVECTIVE MAGNETO-HYDRODYNAMIC FLOW THROUGH AN IRREGULAR CHANNEL

T. L. Oyekunle, S. A. Agunbiade · Journal of the Serbian Society for Computational Mechanics · 2019

Effects of viscous and darcy dissipation on fully developed natural convection flow in a composite channel partially filled with porous material: Homotopy perturbation method (HPM)

Abiodun O. Ajibade, Jeremiah J. Gambo, Basant K. Jha · ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2023

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