Combined effect of heat source, porosity and thermal radiation on mixed convection flow in a vertical annulus: An exact solution

This paper examines the effect of heat source, thermal radiation and porosity on mixed convection flow in a vertical annulus filled with porous material. The inner surface of outer cylinder is assumed to be the heated surface. Closed-form expression for temperature, velocity, Nusselt number, skin-fr...

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Main Author: Michael O. Oni
Format: Article
Language:English
Published: Elsevier 2017-04-01
Series:Engineering Science and Technology, an International Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215098616309351
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author Michael O. Oni
author_facet Michael O. Oni
author_sort Michael O. Oni
collection DOAJ
description This paper examines the effect of heat source, thermal radiation and porosity on mixed convection flow in a vertical annulus filled with porous material. The inner surface of outer cylinder is assumed to be the heated surface. Closed-form expression for temperature, velocity, Nusselt number, skin-friction and mass flow rate are obtained in terms of Bessel’s function and modified Bessel’s function of first and second kind. Based on depicted graphs, fluid temperature and Nusselt number increase with increase in radiation parameter and heat source parameter while velocity as well as skin-friction decreases with increase in radiation parameter and heat source parameter at the surfaces of the cylinder.
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spelling doaj.art-bfab33c8a0f14f9f869c513f3265957b2022-12-22T02:31:01ZengElsevierEngineering Science and Technology, an International Journal2215-09862017-04-0120251852710.1016/j.jestch.2016.12.009Combined effect of heat source, porosity and thermal radiation on mixed convection flow in a vertical annulus: An exact solutionMichael O. OniThis paper examines the effect of heat source, thermal radiation and porosity on mixed convection flow in a vertical annulus filled with porous material. The inner surface of outer cylinder is assumed to be the heated surface. Closed-form expression for temperature, velocity, Nusselt number, skin-friction and mass flow rate are obtained in terms of Bessel’s function and modified Bessel’s function of first and second kind. Based on depicted graphs, fluid temperature and Nusselt number increase with increase in radiation parameter and heat source parameter while velocity as well as skin-friction decreases with increase in radiation parameter and heat source parameter at the surfaces of the cylinder.http://www.sciencedirect.com/science/article/pii/S2215098616309351Heat sourceThermal radiationMixed convectionVertical annulusPorous materialExact solution
spellingShingle Michael O. Oni
Combined effect of heat source, porosity and thermal radiation on mixed convection flow in a vertical annulus: An exact solution
Engineering Science and Technology, an International Journal
Heat source
Thermal radiation
Mixed convection
Vertical annulus
Porous material
Exact solution
title Combined effect of heat source, porosity and thermal radiation on mixed convection flow in a vertical annulus: An exact solution
title_full Combined effect of heat source, porosity and thermal radiation on mixed convection flow in a vertical annulus: An exact solution
title_fullStr Combined effect of heat source, porosity and thermal radiation on mixed convection flow in a vertical annulus: An exact solution
title_full_unstemmed Combined effect of heat source, porosity and thermal radiation on mixed convection flow in a vertical annulus: An exact solution
title_short Combined effect of heat source, porosity and thermal radiation on mixed convection flow in a vertical annulus: An exact solution
title_sort combined effect of heat source porosity and thermal radiation on mixed convection flow in a vertical annulus an exact solution
topic Heat source
Thermal radiation
Mixed convection
Vertical annulus
Porous material
Exact solution
url http://www.sciencedirect.com/science/article/pii/S2215098616309351
work_keys_str_mv AT michaelooni combinedeffectofheatsourceporosityandthermalradiationonmixedconvectionflowinaverticalannulusanexactsolution