Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous Stratum

Free convective flow of a Jeffrey fluid in a vertical deformable porous stratum is investigated. It is assumed that heat is generated within the fluid by both viscous and Darcy dissipations. The velocity, displacement and the temperature distributions are evaluated using a perturbation method valid...

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Main Authors: S. Sreenadh, M. M. Rashidi, K. Kumara Swamy Naidu, A. Parandhama
Format: Article
Language:English
Published: Isfahan University of Technology 2016-01-01
Series:Journal of Applied Fluid Mechanics
Subjects:
Online Access:http://jafmonline.net/JournalArchive/download?file_ID=40892&issue_ID=236
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author S. Sreenadh
M. M. Rashidi
K. Kumara Swamy Naidu
A. Parandhama
author_facet S. Sreenadh
M. M. Rashidi
K. Kumara Swamy Naidu
A. Parandhama
author_sort S. Sreenadh
collection DOAJ
description Free convective flow of a Jeffrey fluid in a vertical deformable porous stratum is investigated. It is assumed that heat is generated within the fluid by both viscous and Darcy dissipations. The velocity, displacement and the temperature distributions are evaluated using a perturbation method valid for small values of buoyancy parameter . The effects of Jeffrey parameter, and on the flow velocity and solid displacement are discussed in detail. In the absence of Jeffrey parameter, deformable porous parameters and the pressure gradient, all the results reduce to the corresponding results of Rudraiah et al. (1977). Higher skin friction is observed for a given buoyancy force for a non-Newtonian Jeffrey fluid when compared with Newtonian fluid. On comparing deformable and undeformable porous layers of present work and Rudraiah et al. (1977), we conclude that the skin friction gets reduced when the porous material is a deformable one. It is noticed that the effect of increasing Jeffrey parameter is to increase the skin friction in the deformable porous stratum.
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spelling doaj.art-b5dd4f25064941859f47c4c160efa9872022-12-22T01:42:04ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-019523912401.Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous StratumS. Sreenadh0M. M. Rashidi1K. Kumara Swamy Naidu2A. Parandhama3Department of Mathematics, S.V.University, Tirupati-517 502, IndiaUniversity of Birmingham, School of Civil Engineering, Birminghamsree vidyanikethan engineering collegeSREE VIDYANIKETHAN ENGINEERING COLLEGEFree convective flow of a Jeffrey fluid in a vertical deformable porous stratum is investigated. It is assumed that heat is generated within the fluid by both viscous and Darcy dissipations. The velocity, displacement and the temperature distributions are evaluated using a perturbation method valid for small values of buoyancy parameter . The effects of Jeffrey parameter, and on the flow velocity and solid displacement are discussed in detail. In the absence of Jeffrey parameter, deformable porous parameters and the pressure gradient, all the results reduce to the corresponding results of Rudraiah et al. (1977). Higher skin friction is observed for a given buoyancy force for a non-Newtonian Jeffrey fluid when compared with Newtonian fluid. On comparing deformable and undeformable porous layers of present work and Rudraiah et al. (1977), we conclude that the skin friction gets reduced when the porous material is a deformable one. It is noticed that the effect of increasing Jeffrey parameter is to increase the skin friction in the deformable porous stratum.http://jafmonline.net/JournalArchive/download?file_ID=40892&issue_ID=236jeffrey fluid; non-newtonian fluid; free convection; perturbation method.
spellingShingle S. Sreenadh
M. M. Rashidi
K. Kumara Swamy Naidu
A. Parandhama
Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous Stratum
Journal of Applied Fluid Mechanics
jeffrey fluid; non-newtonian fluid; free convection; perturbation method.
title Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous Stratum
title_full Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous Stratum
title_fullStr Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous Stratum
title_full_unstemmed Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous Stratum
title_short Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous Stratum
title_sort free convection flow of a jeffrey fluid through a vertical deformable porous stratum
topic jeffrey fluid; non-newtonian fluid; free convection; perturbation method.
url http://jafmonline.net/JournalArchive/download?file_ID=40892&issue_ID=236
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