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Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity

Purpose: This study aims to investigate the unsteady two-dimensional viscous flow and heat transfer over an unsteady permeable stretching/shrinking sheet (surface) with generalized slip velocity condition. Design/methodology/approach: Similarity transformation is used to reduce the system of partial...

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Main Authors: Hafidzuddin, Mohd Ezad Hafidz, Nazar, Roslinda, Md. Arifin, Norihan, Pop, Ioan
Format: Article
Language:English
Published: Emerald 2018
Online Access:http://psasir.upm.edu.my/id/eprint/74367/1/Unsteady%20flow%20and%20heat%20transfer%20over%20a%20permeable%20stretchingshrinking%20sheet%20with%20generalized%20slip%20velocity.pdf
http://psasir.upm.edu.my/id/eprint/74367/
https://www.emerald.com/insight/content/doi/10.1108/HFF-11-2016-0440/full/html
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spelling my.upm.eprints.743672020-04-22T15:54:12Z http://psasir.upm.edu.my/id/eprint/74367/ Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity Hafidzuddin, Mohd Ezad Hafidz Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan Purpose: This study aims to investigate the unsteady two-dimensional viscous flow and heat transfer over an unsteady permeable stretching/shrinking sheet (surface) with generalized slip velocity condition. Design/methodology/approach: Similarity transformation is used to reduce the system of partial differential equations into a system of nonlinear ordinary differential equations. The resulting equations are then solved numerically using “bvp4c” function in MATLAB software. Findings: Dual solutions are found for a certain range of the unsteady, suction and stretching/shrinking parameters. Stability analysis is performed, and it is revealed that the first (upper branch) solution is stable and physically realizable, whereas the second (lower branch) solution is unstable. Practical implications: The results obtained can be used to explain the characteristics and applications of the generalized slip in boundary layer flow. Such condition is applied for particulate fluids such as foams, emulsions, polymer solutions and suspensions. Furthermore, the phenomenon of stretching/shrinking sheet can be found on the manufacturing of polymer sheets, rising and shrinking balloon or moving and shrinking polymer film. Originality/value: The present numerical results are original and new for the study of unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity. Emerald 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/74367/1/Unsteady%20flow%20and%20heat%20transfer%20over%20a%20permeable%20stretchingshrinking%20sheet%20with%20generalized%20slip%20velocity.pdf Hafidzuddin, Mohd Ezad Hafidz and Nazar, Roslinda and Md. Arifin, Norihan and Pop, Ioan (2018) Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity. International Journal of Numerical Methods for Heat & Fluid Flow, 28 (6). 1457 - 1470. ISSN 0961-5539 https://www.emerald.com/insight/content/doi/10.1108/HFF-11-2016-0440/full/html 10.1108/HFF-11-2016-0440
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 Purpose: This study aims to investigate the unsteady two-dimensional viscous flow and heat transfer over an unsteady permeable stretching/shrinking sheet (surface) with generalized slip velocity condition. Design/methodology/approach: Similarity transformation is used to reduce the system of partial differential equations into a system of nonlinear ordinary differential equations. The resulting equations are then solved numerically using “bvp4c” function in MATLAB software. Findings: Dual solutions are found for a certain range of the unsteady, suction and stretching/shrinking parameters. Stability analysis is performed, and it is revealed that the first (upper branch) solution is stable and physically realizable, whereas the second (lower branch) solution is unstable. Practical implications: The results obtained can be used to explain the characteristics and applications of the generalized slip in boundary layer flow. Such condition is applied for particulate fluids such as foams, emulsions, polymer solutions and suspensions. Furthermore, the phenomenon of stretching/shrinking sheet can be found on the manufacturing of polymer sheets, rising and shrinking balloon or moving and shrinking polymer film. Originality/value: The present numerical results are original and new for the study of unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity.
format Article
author Hafidzuddin, Mohd Ezad Hafidz
Nazar, Roslinda
Md. Arifin, Norihan
Pop, Ioan
spellingShingle Hafidzuddin, Mohd Ezad Hafidz
Nazar, Roslinda
Md. Arifin, Norihan
Pop, Ioan
Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity
author_facet Hafidzuddin, Mohd Ezad Hafidz
Nazar, Roslinda
Md. Arifin, Norihan
Pop, Ioan
author_sort Hafidzuddin, Mohd Ezad Hafidz
title Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity
title_short Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity
title_full Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity
title_fullStr Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity
title_full_unstemmed Unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity
title_sort unsteady flow and heat transfer over a permeable stretching/shrinking sheet with generalized slip velocity
publisher Emerald
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/74367/1/Unsteady%20flow%20and%20heat%20transfer%20over%20a%20permeable%20stretchingshrinking%20sheet%20with%20generalized%20slip%20velocity.pdf
http://psasir.upm.edu.my/id/eprint/74367/
https://www.emerald.com/insight/content/doi/10.1108/HFF-11-2016-0440/full/html
_version_ 1665896018944720896
score 13.211869

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