Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink

An analysis is made to study a three dimensional MHD boundary layer flow and heat transfer due to a porous axisymmetric shrinking sheet. The governing partial differential equations of momentum and energy are transformed into self similar non-linear ordinary differential equations by using the suita...

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Main Authors: M. Madhu, B. Balaswamy, N. Kishan
Format: Article
Language:English
Published: University of Zielona Góra 2016-05-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Three-dimensional-MHD-boundary-layer-flow-due-to-an-axisymmetric-shrinking-sheet,167131,0,2.html
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author M. Madhu
B. Balaswamy
N. Kishan
author_facet M. Madhu
B. Balaswamy
N. Kishan
author_sort M. Madhu
collection DOAJ
description An analysis is made to study a three dimensional MHD boundary layer flow and heat transfer due to a porous axisymmetric shrinking sheet. The governing partial differential equations of momentum and energy are transformed into self similar non-linear ordinary differential equations by using the suitable similarity transformations. These equations are, then solved by using the variational finite element method. The flow phenomena is characterised by the magnetic parameter M , suction parameter S , porosity parameter Kp , heat source/sink parameter Q , Prandtl number Pr, Eckert number Ec and radiation parameter Rd . The numerical results of the velocity and temperature profiles are obtained and displayed graphically.
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spelling doaj.art-1d9fa56e2423487e98d68c6ef02bf99c2023-08-08T14:47:10ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032016-05-0121239340610.1515/ijame-2016-0024167131Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sinkM. Madhu0B. Balaswamy1N. Kishan2Department of Mathematics, Osmania University, Hyderabad, Telangana, INDIADepartment of Mathematics, Osmania University, Hyderabad, Telangana, INDIADepartment of Mathematics, Osmania University, Hyderabad, Telangana, INDIAAn analysis is made to study a three dimensional MHD boundary layer flow and heat transfer due to a porous axisymmetric shrinking sheet. The governing partial differential equations of momentum and energy are transformed into self similar non-linear ordinary differential equations by using the suitable similarity transformations. These equations are, then solved by using the variational finite element method. The flow phenomena is characterised by the magnetic parameter M , suction parameter S , porosity parameter Kp , heat source/sink parameter Q , Prandtl number Pr, Eckert number Ec and radiation parameter Rd . The numerical results of the velocity and temperature profiles are obtained and displayed graphically.https://www.ijame-poland.com/Three-dimensional-MHD-boundary-layer-flow-due-to-an-axisymmetric-shrinking-sheet,167131,0,2.htmlaxisymmetric shrinking sheetdual solutionradiationviscous dissipationfem
spellingShingle M. Madhu
B. Balaswamy
N. Kishan
Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink
International Journal of Applied Mechanics and Engineering
axisymmetric shrinking sheet
dual solution
radiation
viscous dissipation
fem
title Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink
title_full Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink
title_fullStr Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink
title_full_unstemmed Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink
title_short Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink
title_sort three dimensional mhd boundary layer flow due to an axisymmetric shrinking sheet with radiation viscous dissipation and heat source sink
topic axisymmetric shrinking sheet
dual solution
radiation
viscous dissipation
fem
url https://www.ijame-poland.com/Three-dimensional-MHD-boundary-layer-flow-due-to-an-axisymmetric-shrinking-sheet,167131,0,2.html
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AT nkishan threedimensionalmhdboundarylayerflowduetoanaxisymmetricshrinkingsheetwithradiationviscousdissipationandheatsourcesink