Thermal radiation and heat generation/absorption effects on viscoelastic double-diffusive convection from an isothermal sphere in porous media

Buoyancy-driven convective heat and mass transfer in boundary layer flow of a viscoelastic Jeffrey fluid from a permeable isothermal sphere embedded in a porous medium is studied. Thermal radiation flux and heat generation/absorption are also incorporated in the model. A non-Darcy drag force model i...

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Main Authors: S. Abdul Gaffar, V. Ramachandra Prasad, E. Keshava Reddy, O. Anwar Bég
Format: Article
Language:English
Published: Elsevier 2015-09-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447915000416
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author S. Abdul Gaffar
V. Ramachandra Prasad
E. Keshava Reddy
O. Anwar Bég
author_facet S. Abdul Gaffar
V. Ramachandra Prasad
E. Keshava Reddy
O. Anwar Bég
author_sort S. Abdul Gaffar
collection DOAJ
description Buoyancy-driven convective heat and mass transfer in boundary layer flow of a viscoelastic Jeffrey fluid from a permeable isothermal sphere embedded in a porous medium is studied. Thermal radiation flux and heat generation/absorption are also incorporated in the model. A non-Darcy drag force model is employed to simulate the effects of linear porous media drag and second order Forchheimer drag. The Rosseland diffusion algebraic approximation is utilized to simulate thermal radiation effects. The non-dimensionalized boundary layer equations are solved using implicit, finite-difference scheme. The influence of Darcy number (Da), Deborah number (De), ratio of relaxation to retardation times (λ), radiation parameter (F), Forchheimer inertial parameter (Λ) and heat generation/absorption parameter (Δ), on normalized velocity, temperature, concentration, skin friction, heat and mass transfer rates are also studied. The present study has applications in the storage of nuclear waste materials.
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spelling doaj.art-76321dea57c242499027714e5fef575f2022-12-21T22:32:30ZengElsevierAin Shams Engineering Journal2090-44792015-09-01631009103010.1016/j.asej.2015.02.014Thermal radiation and heat generation/absorption effects on viscoelastic double-diffusive convection from an isothermal sphere in porous mediaS. Abdul Gaffar0V. Ramachandra Prasad1E. Keshava Reddy2O. Anwar Bég3Department of Mathematics, Salalah College of Technology, Salalah, OmanDepartment of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle 517325, IndiaDepartment of Mathematics, Jawaharlal Nehru Technological University Anantapuramu, Anantapuramu 515002, IndiaGort Engovation Research (CFD), 15 Southmere Avenue, Great Horton, Bradford BD7 3NU, West Yorkshire, UKBuoyancy-driven convective heat and mass transfer in boundary layer flow of a viscoelastic Jeffrey fluid from a permeable isothermal sphere embedded in a porous medium is studied. Thermal radiation flux and heat generation/absorption are also incorporated in the model. A non-Darcy drag force model is employed to simulate the effects of linear porous media drag and second order Forchheimer drag. The Rosseland diffusion algebraic approximation is utilized to simulate thermal radiation effects. The non-dimensionalized boundary layer equations are solved using implicit, finite-difference scheme. The influence of Darcy number (Da), Deborah number (De), ratio of relaxation to retardation times (λ), radiation parameter (F), Forchheimer inertial parameter (Λ) and heat generation/absorption parameter (Δ), on normalized velocity, temperature, concentration, skin friction, heat and mass transfer rates are also studied. The present study has applications in the storage of nuclear waste materials.http://www.sciencedirect.com/science/article/pii/S2090447915000416Non-Newtonian Jeffreys fluidRosseland thermal radiation modelIsothermal sphereKeller-box numerical methodnon-Darcy flowPorous media
spellingShingle S. Abdul Gaffar
V. Ramachandra Prasad
E. Keshava Reddy
O. Anwar Bég
Thermal radiation and heat generation/absorption effects on viscoelastic double-diffusive convection from an isothermal sphere in porous media
Ain Shams Engineering Journal
Non-Newtonian Jeffreys fluid
Rosseland thermal radiation model
Isothermal sphere
Keller-box numerical method
non-Darcy flow
Porous media
title Thermal radiation and heat generation/absorption effects on viscoelastic double-diffusive convection from an isothermal sphere in porous media
title_full Thermal radiation and heat generation/absorption effects on viscoelastic double-diffusive convection from an isothermal sphere in porous media
title_fullStr Thermal radiation and heat generation/absorption effects on viscoelastic double-diffusive convection from an isothermal sphere in porous media
title_full_unstemmed Thermal radiation and heat generation/absorption effects on viscoelastic double-diffusive convection from an isothermal sphere in porous media
title_short Thermal radiation and heat generation/absorption effects on viscoelastic double-diffusive convection from an isothermal sphere in porous media
title_sort thermal radiation and heat generation absorption effects on viscoelastic double diffusive convection from an isothermal sphere in porous media
topic Non-Newtonian Jeffreys fluid
Rosseland thermal radiation model
Isothermal sphere
Keller-box numerical method
non-Darcy flow
Porous media
url http://www.sciencedirect.com/science/article/pii/S2090447915000416
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