Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation

In this study, flow and heat transfer of a non Newtonian third grade fluid with porous medium and internal heat source conveyed through parallel plates held horizontally against each other are investigated. The nonlinear ordinary equations arising due to visco-elastic effects from the mechanics of t...

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Main Author: Akinbowale T. Akinshilo
Format: Article
Language:English
Published: Elsevier 2017-12-01
Series:Engineering Science and Technology, an International Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215098617314416
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author Akinbowale T. Akinshilo
author_facet Akinbowale T. Akinshilo
author_sort Akinbowale T. Akinshilo
collection DOAJ
description In this study, flow and heat transfer of a non Newtonian third grade fluid with porous medium and internal heat source conveyed through parallel plates held horizontally against each other are investigated. The nonlinear ordinary equations arising due to visco-elastic effects from the mechanics of the fluid are analysed using the adomian decomposition method (ADM) adopting Vogel’s temperature dependent model based viscosity. Thermal fluidic parameters effects such as pressure gradient, heat generation parameter and porosity term are examined on the flow and heat transfer. Increasing porosity term shows slight decreasing effect on velocity distribution, as increasing heat generation term demonstrates significant increase on temperature distribution towards the upper plate. Obtained solutions in this paper may be used to advance studies in thin film flow, energy conservation, coal-water mixture, polymer solution and oil recovery application. Also Results from analyses compared against the fourth order Runge kutta numerical solution proves to be in satisfactory agreement.
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spelling doaj.art-ba97a8dc1c2e42b687b96b7afc4784f02022-12-21T17:43:32ZengElsevierEngineering Science and Technology, an International Journal2215-09862017-12-012061602160910.1016/j.jestch.2017.11.012Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generationAkinbowale T. AkinshiloIn this study, flow and heat transfer of a non Newtonian third grade fluid with porous medium and internal heat source conveyed through parallel plates held horizontally against each other are investigated. The nonlinear ordinary equations arising due to visco-elastic effects from the mechanics of the fluid are analysed using the adomian decomposition method (ADM) adopting Vogel’s temperature dependent model based viscosity. Thermal fluidic parameters effects such as pressure gradient, heat generation parameter and porosity term are examined on the flow and heat transfer. Increasing porosity term shows slight decreasing effect on velocity distribution, as increasing heat generation term demonstrates significant increase on temperature distribution towards the upper plate. Obtained solutions in this paper may be used to advance studies in thin film flow, energy conservation, coal-water mixture, polymer solution and oil recovery application. Also Results from analyses compared against the fourth order Runge kutta numerical solution proves to be in satisfactory agreement.http://www.sciencedirect.com/science/article/pii/S2215098617314416Third grade fluidPorous mediumAdomian decomposition methodParallel plateVogel’s model
spellingShingle Akinbowale T. Akinshilo
Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation
Engineering Science and Technology, an International Journal
Third grade fluid
Porous medium
Adomian decomposition method
Parallel plate
Vogel’s model
title Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation
title_full Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation
title_fullStr Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation
title_full_unstemmed Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation
title_short Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation
title_sort steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation
topic Third grade fluid
Porous medium
Adomian decomposition method
Parallel plate
Vogel’s model
url http://www.sciencedirect.com/science/article/pii/S2215098617314416
work_keys_str_mv AT akinbowaletakinshilo steadyflowandheattransferanalysisofthirdgradefluidwithporousmediumandheatgeneration