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Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity

In this paper, the steady laminar boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity is studied. The flow and heat transfer induced by stretching/shrinking sheets are important in the study of extrusion processes and is a su...

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Main Authors: Hafidzuddin, Mohd Ezad Hafidz, Mohd Nazar, Roslinda, Md. Arifin, Norihan, Pop, Ioan
Format: Article
Language:English
Published: Physics Society of Iran with the collaboration of Isfahan University of Technology (IUT) 2016
Online Access:http://psasir.upm.edu.my/id/eprint/56231/1/Boundary%20layer%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponentially%20stretchingshrinking%20sheet%20with%20generalized%20slip%20velocity.pdf
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spelling my.upm.eprints.562312017-07-04T02:48:15Z http://psasir.upm.edu.my/id/eprint/56231/ Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity Hafidzuddin, Mohd Ezad Hafidz Mohd Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan In this paper, the steady laminar boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity is studied. The flow and heat transfer induced by stretching/shrinking sheets are important in the study of extrusion processes and is a subject of considerable interest in the contemporary literature. Appropriate similarity variables are used to transform the governing nonlinear partial differential equations to a system of nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the bvp4c function in MATLAB. Dual (upper and lower branch) solutions are found for a certain range of the suction and stretching/shrinking parameters. Stability analysis is performed to determine which solutions are stable and physically realizable and which are not stable. The effects of suction parameter, stretching/shrinking parameter, velocity slip parameter, critical shear rate and Prandtl number on the skin friction and heat transfer coefficients as well as the velocity and temperature profiles are presented and discussed in detail. It is found that the introduction of the generalized slip boundary condition resulted in the reduction of the local skin friction coefficient and local Nusselt number. Finally, it is concluded from the stability analysis that the first (upper branch) solution is stable while the second (lower branch) solution is not stable. Physics Society of Iran with the collaboration of Isfahan University of Technology (IUT) 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56231/1/Boundary%20layer%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponentially%20stretchingshrinking%20sheet%20with%20generalized%20slip%20velocity.pdf Hafidzuddin, Mohd Ezad Hafidz and Mohd Nazar, Roslinda and Md. Arifin, Norihan and Pop, Ioan (2016) Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity. Journal of Applied Fluid Mechanics, 9 (4). pp. 2025-2036. ISSN 1735-3572; ESSN: 1735-3645 http://jafmonline.net/web/guest/home?p_p_id=JournalArchive_WAR_JournalArchive_INSTANCE_nvhn&p_p_action=0&p_p_state=maximized&p_p_mode=view&_JournalArchive_WAR_JournalArchive_INSTANCE_nvhn_form_page=main_form&selectedVolumeId=68&selectedIssueId=235
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this paper, the steady laminar boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity is studied. The flow and heat transfer induced by stretching/shrinking sheets are important in the study of extrusion processes and is a subject of considerable interest in the contemporary literature. Appropriate similarity variables are used to transform the governing nonlinear partial differential equations to a system of nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the bvp4c function in MATLAB. Dual (upper and lower branch) solutions are found for a certain range of the suction and stretching/shrinking parameters. Stability analysis is performed to determine which solutions are stable and physically realizable and which are not stable. The effects of suction parameter, stretching/shrinking parameter, velocity slip parameter, critical shear rate and Prandtl number on the skin friction and heat transfer coefficients as well as the velocity and temperature profiles are presented and discussed in detail. It is found that the introduction of the generalized slip boundary condition resulted in the reduction of the local skin friction coefficient and local Nusselt number. Finally, it is concluded from the stability analysis that the first (upper branch) solution is stable while the second (lower branch) solution is not stable.
format Article
author Hafidzuddin, Mohd Ezad Hafidz
Mohd Nazar, Roslinda
Md. Arifin, Norihan
Pop, Ioan
spellingShingle Hafidzuddin, Mohd Ezad Hafidz
Mohd Nazar, Roslinda
Md. Arifin, Norihan
Pop, Ioan
Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity
author_facet Hafidzuddin, Mohd Ezad Hafidz
Mohd Nazar, Roslinda
Md. Arifin, Norihan
Pop, Ioan
author_sort Hafidzuddin, Mohd Ezad Hafidz
title Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity
title_short Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity
title_full Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity
title_fullStr Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity
title_full_unstemmed Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity
title_sort boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity
publisher Physics Society of Iran with the collaboration of Isfahan University of Technology (IUT)
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/56231/1/Boundary%20layer%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponentially%20stretchingshrinking%20sheet%20with%20generalized%20slip%20velocity.pdf
http://psasir.upm.edu.my/id/eprint/56231/
http://jafmonline.net/web/guest/home?p_p_id=JournalArchive_WAR_JournalArchive_INSTANCE_nvhn&p_p_action=0&p_p_state=maximized&p_p_mode=view&_JournalArchive_WAR_JournalArchive_INSTANCE_nvhn_form_page=main_form&selectedVolumeId=68&selectedIssueId=235
_version_ 1643836129484472320
score 13.211869

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