Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall
This investigation analyses a three dimensional flow and mass transfer of a second grade fluid over a porous stretching wall in the presence of suction or injection. The equations governing the flow are attained in terms of partial differential equations. A similarity transformation has been utilize...
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Format: | Article |
Language: | English |
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University of Zielona Góra
2016-05-01
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Series: | International Journal of Applied Mechanics and Engineering |
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Online Access: | https://www.ijame-poland.com/Three-dimensional-flow-and-mass-transfer-analysis-of-a-second-grade-fluid-in-a-porous,167129,0,2.html |
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author | N.A. Khan F. Naz |
author_facet | N.A. Khan F. Naz |
author_sort | N.A. Khan |
collection | DOAJ |
description | This investigation analyses a three dimensional flow and mass transfer of a second grade fluid over a porous stretching wall in the presence of suction or injection. The equations governing the flow are attained in terms of partial differential equations. A similarity transformation has been utilized for the transformation of partial differential equations into the ordinary differential equations. The solutions of the nonlinear systems are given by the homotopy analysis method (HAM). A comparative study with the previous results of a viscous fluid has been made. The convergence of the series solution has also been considered explicitly. The influence of admissible parameters on the flows is delineated through graphs and appropriate results are presented. In addition, it is found that instantaneous suction and injection reduce viscous drag on the stretching sheet. It is also shown that suction or injection of a fluid through the surface is an example of mass transfer and it can change the flow field. |
first_indexed | 2024-03-12T16:37:17Z |
format | Article |
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institution | Directory Open Access Journal |
issn | 1734-4492 2353-9003 |
language | English |
last_indexed | 2024-03-12T16:37:17Z |
publishDate | 2016-05-01 |
publisher | University of Zielona Góra |
record_format | Article |
series | International Journal of Applied Mechanics and Engineering |
spelling | doaj.art-3fe0e21378d44cb2a6a667df642e818a2023-08-08T14:47:10ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032016-05-0121235937610.1515/ijame-2016-0022167129Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wallN.A. Khan0F. Naz1Department of Mathematics, University of Karachi, Karachi 75270, PAKISTANDepartment of Mathematics, University of Karachi, Karachi 75270, PAKISTANThis investigation analyses a three dimensional flow and mass transfer of a second grade fluid over a porous stretching wall in the presence of suction or injection. The equations governing the flow are attained in terms of partial differential equations. A similarity transformation has been utilized for the transformation of partial differential equations into the ordinary differential equations. The solutions of the nonlinear systems are given by the homotopy analysis method (HAM). A comparative study with the previous results of a viscous fluid has been made. The convergence of the series solution has also been considered explicitly. The influence of admissible parameters on the flows is delineated through graphs and appropriate results are presented. In addition, it is found that instantaneous suction and injection reduce viscous drag on the stretching sheet. It is also shown that suction or injection of a fluid through the surface is an example of mass transfer and it can change the flow field.https://www.ijame-poland.com/Three-dimensional-flow-and-mass-transfer-analysis-of-a-second-grade-fluid-in-a-porous,167129,0,2.htmlsecond grade fluidstretching wallsuctioninjection |
spellingShingle | N.A. Khan F. Naz Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall International Journal of Applied Mechanics and Engineering second grade fluid stretching wall suction injection |
title | Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall |
title_full | Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall |
title_fullStr | Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall |
title_full_unstemmed | Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall |
title_short | Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall |
title_sort | three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall |
topic | second grade fluid stretching wall suction injection |
url | https://www.ijame-poland.com/Three-dimensional-flow-and-mass-transfer-analysis-of-a-second-grade-fluid-in-a-porous,167129,0,2.html |
work_keys_str_mv | AT nakhan threedimensionalflowandmasstransferanalysisofasecondgradefluidinaporouschannelwithalowerstretchingwall AT fnaz threedimensionalflowandmasstransferanalysisofasecondgradefluidinaporouschannelwithalowerstretchingwall |