Steady laminar MHD flow of visco-elastic fluid through a porous pipe embedded in a porous medium

An attempt has been made to study the effect of elasticity, suction/injection, porous matrix, inlet flow Reynolds number on the flow of a visco-elastic (Walters B′) fluid through a porous pipe. The novelty of the study is to consider the entire flow domain without boundary layer approximation in the...

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Main Authors: R.N. Barik, G.C. Dash, P.K. Rath
Format: Article
Language:English
Published: Elsevier 2018-06-01
Series:Alexandria Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016817300285
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author R.N. Barik
G.C. Dash
P.K. Rath
author_facet R.N. Barik
G.C. Dash
P.K. Rath
author_sort R.N. Barik
collection DOAJ
description An attempt has been made to study the effect of elasticity, suction/injection, porous matrix, inlet flow Reynolds number on the flow of a visco-elastic (Walters B′) fluid through a porous pipe. The novelty of the study is to consider the entire flow domain without boundary layer approximation in the governing equations vis-à-vis the fully developed solutions of the velocity field are obtained. Further, we have discussed the viscous and non-conducting flow as particular cases by omitting the effect of elasticity and magnetic field. It is interesting to note that elasticity property of the fluid in presence of porous matrix and suction reduces the skin friction at the plate which is a desirable outcome of the present study. Keywords: MHD flow, Porous medium, Visco-elastic, Porous pipe, Suction/injection, Inlet flow
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spelling doaj.art-22ef08ae295c4aca9fe6be72b54a39d92022-12-21T21:27:54ZengElsevierAlexandria Engineering Journal1110-01682018-06-01572973982Steady laminar MHD flow of visco-elastic fluid through a porous pipe embedded in a porous mediumR.N. Barik0G.C. Dash1P.K. Rath2Department of Mathematics, I.T.E.R., S’O’A University, Khandagiri Square, Bhubaneswar 751030, Odisha, India; Corresponding author.Department of Mathematics, I.T.E.R., S’O’A University, Khandagiri Square, Bhubaneswar 751030, Odisha, IndiaDepartment of Mathematics, B.R.M. International Institute of Technology, Bhubaneswar 751010, Odisha, IndiaAn attempt has been made to study the effect of elasticity, suction/injection, porous matrix, inlet flow Reynolds number on the flow of a visco-elastic (Walters B′) fluid through a porous pipe. The novelty of the study is to consider the entire flow domain without boundary layer approximation in the governing equations vis-à-vis the fully developed solutions of the velocity field are obtained. Further, we have discussed the viscous and non-conducting flow as particular cases by omitting the effect of elasticity and magnetic field. It is interesting to note that elasticity property of the fluid in presence of porous matrix and suction reduces the skin friction at the plate which is a desirable outcome of the present study. Keywords: MHD flow, Porous medium, Visco-elastic, Porous pipe, Suction/injection, Inlet flowhttp://www.sciencedirect.com/science/article/pii/S1110016817300285
spellingShingle R.N. Barik
G.C. Dash
P.K. Rath
Steady laminar MHD flow of visco-elastic fluid through a porous pipe embedded in a porous medium
Alexandria Engineering Journal
title Steady laminar MHD flow of visco-elastic fluid through a porous pipe embedded in a porous medium
title_full Steady laminar MHD flow of visco-elastic fluid through a porous pipe embedded in a porous medium
title_fullStr Steady laminar MHD flow of visco-elastic fluid through a porous pipe embedded in a porous medium
title_full_unstemmed Steady laminar MHD flow of visco-elastic fluid through a porous pipe embedded in a porous medium
title_short Steady laminar MHD flow of visco-elastic fluid through a porous pipe embedded in a porous medium
title_sort steady laminar mhd flow of visco elastic fluid through a porous pipe embedded in a porous medium
url http://www.sciencedirect.com/science/article/pii/S1110016817300285
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