Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical Annulus

This paper presents both analytical and numerical analyses of a fully developed unsteady/steady natural convection flow of a reactive viscous fluid in an open ended vertical annulus. Analytical expressions for velocity, temperature, skin-friction and rate of heat transfer are obtained after simplify...

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Main Authors: B.K. Jha, A.K. Samaila, A.O. Ajibade
Format: Article
Language:English
Published: University of Zielona Góra 2013-03-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Unsteady-Steady-Natural-Convection-Flow-of-Reactive-Viscous-Fluid-in-a-Vertical-Annulus,167342,0,2.html
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author B.K. Jha
A.K. Samaila
A.O. Ajibade
author_facet B.K. Jha
A.K. Samaila
A.O. Ajibade
author_sort B.K. Jha
collection DOAJ
description This paper presents both analytical and numerical analyses of a fully developed unsteady/steady natural convection flow of a reactive viscous fluid in an open ended vertical annulus. Analytical expressions for velocity, temperature, skin-friction and rate of heat transfer are obtained after simplifying and solving the governing differential equations with reasonable approximations. The interesting result found in this study is that an increase in non-dimensional time (t) , increases both temperature and velocity profiles until a steady-state value is attained. Subsequent results obtained by numerical calculations show excellent agreement with analytical results.
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spelling doaj.art-055d8b1b14da4bb6903cbbc62583c19e2023-08-08T14:26:56ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-03-01181738310.2478/ijame-2013-0005167342Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical AnnulusB.K. Jha0A.K. Samaila1A.O. Ajibade2Department of Mathematics, Ahmadu Bello University Zaria, NIGERIADepartment of Mathematics, Ahmadu Bello University Zaria, NIGERIADepartment of Mathematics, Ahmadu Bello University Zaria, NIGERIAThis paper presents both analytical and numerical analyses of a fully developed unsteady/steady natural convection flow of a reactive viscous fluid in an open ended vertical annulus. Analytical expressions for velocity, temperature, skin-friction and rate of heat transfer are obtained after simplifying and solving the governing differential equations with reasonable approximations. The interesting result found in this study is that an increase in non-dimensional time (t) , increases both temperature and velocity profiles until a steady-state value is attained. Subsequent results obtained by numerical calculations show excellent agreement with analytical results.https://www.ijame-poland.com/Unsteady-Steady-Natural-Convection-Flow-of-Reactive-Viscous-Fluid-in-a-Vertical-Annulus,167342,0,2.htmlunsteady/steady natural convection flowreactive viscous fluidexothermicopen ended vertical annulus
spellingShingle B.K. Jha
A.K. Samaila
A.O. Ajibade
Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical Annulus
International Journal of Applied Mechanics and Engineering
unsteady/steady natural convection flow
reactive viscous fluid
exothermic
open ended vertical annulus
title Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical Annulus
title_full Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical Annulus
title_fullStr Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical Annulus
title_full_unstemmed Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical Annulus
title_short Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical Annulus
title_sort unsteady steady natural convection flow of reactive viscous fluid in a vertical annulus
topic unsteady/steady natural convection flow
reactive viscous fluid
exothermic
open ended vertical annulus
url https://www.ijame-poland.com/Unsteady-Steady-Natural-Convection-Flow-of-Reactive-Viscous-Fluid-in-a-Vertical-Annulus,167342,0,2.html
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AT aoajibade unsteadysteadynaturalconvectionflowofreactiveviscousfluidinaverticalannulus