Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model

A reformulation of the three-dimensional flow of a nanofluid by employing Buongiorno’s model is presented. A new boundary condition is implemented in this study with the assumption of nanoparticle mass flux at the surface is zero. This condition is practically more realistic since the nanoparticle...

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Main Authors:	Rahimah, Jusoh, Roslinda, Nazar, Pop, Ioan
Format:	Article
Language:	English
Published:	American Institute of Physics 2018
Subjects:	QA Mathematics QC Physics
Online Access:	http://umpir.ump.edu.my/id/eprint/23344/ http://umpir.ump.edu.my/id/eprint/23344/ http://umpir.ump.edu.my/id/eprint/23344/ http://umpir.ump.edu.my/id/eprint/23344/8/Three-dimensional%20flow%20of%20a%20nanofluid%20over%20a%20permeable1.pdf

id	ump-23344
recordtype	eprints
spelling	ump-233442019-01-11T09:02:39Z http://umpir.ump.edu.my/id/eprint/23344/ Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model Rahimah, Jusoh Roslinda, Nazar Pop, Ioan QA Mathematics QC Physics A reformulation of the three-dimensional flow of a nanofluid by employing Buongiorno’s model is presented. A new boundary condition is implemented in this study with the assumption of nanoparticle mass flux at the surface is zero. This condition is practically more realistic since the nanoparticle fraction at the boundary is latently controlled. This study is devoted to investigate the impact of the velocity slip and suction to the flow and heat transfer characteristics of nanofluid. The governing partial differential equations corresponding to the momentum, energy, and concentration are reduced to the ordinary differential equations by utilizing the appropriate transformation. Numerical solutions of the ordinary differential equations are obtained by using the built-in bvp4c function in Matlab. Graphical illustrations displaying the physical influence of the several nanofluid parameters on the flow velocity, temperature, and nanoparticle volume fraction profiles, as well as the skin friction coefficient and the local Nusselt number are provided. The present study discovers the existence of dual solutions at a certain range of parameters. Surprisingly, both of the solutions merge at the stretching sheet indicating that the presence of the velocity slip affects the skin friction coefficients. Stability analysis is carried out to determine the stability and reliability of the solutions. It is found that the first solution is stable while the second solution is not stable. American Institute of Physics 2018 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/23344/8/Three-dimensional%20flow%20of%20a%20nanofluid%20over%20a%20permeable1.pdf Rahimah, Jusoh and Roslinda, Nazar and Pop, Ioan (2018) Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model. Physics of Fluids, 30 (033604). pp. 1-11. ISSN 1089-7666 https://aip.scitation.org/doi/10.1063/1.5021524 10.1063/1.5021524
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Rahimah, Jusoh Roslinda, Nazar Pop, Ioan Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model
description	A reformulation of the three-dimensional flow of a nanofluid by employing Buongiorno’s model is presented. A new boundary condition is implemented in this study with the assumption of nanoparticle mass flux at the surface is zero. This condition is practically more realistic since the nanoparticle fraction at the boundary is latently controlled. This study is devoted to investigate the impact of the velocity slip and suction to the flow and heat transfer characteristics of nanofluid. The governing partial differential equations corresponding to the momentum, energy, and concentration are reduced to the ordinary differential equations by utilizing the appropriate transformation. Numerical solutions of the ordinary differential equations are obtained by using the built-in bvp4c function in Matlab. Graphical illustrations displaying the physical influence of the several nanofluid parameters on the flow velocity, temperature, and nanoparticle volume fraction profiles, as well as the skin friction coefficient and the local Nusselt number are provided. The present study discovers the existence of dual solutions at a certain range of parameters. Surprisingly, both of the solutions merge at the stretching sheet indicating that the presence of the velocity slip affects the skin friction coefficients. Stability analysis is carried out to determine the stability and reliability of the solutions. It is found that the first solution is stable while the second solution is not stable.
format	Article
author	Rahimah, Jusoh Roslinda, Nazar Pop, Ioan
author_facet	Rahimah, Jusoh Roslinda, Nazar Pop, Ioan
author_sort	Rahimah, Jusoh
title	Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model
title_short	Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model
title_full	Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model
title_fullStr	Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model
title_full_unstemmed	Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model
title_sort	three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: a revised model
publisher	American Institute of Physics
publishDate	2018
url	http://umpir.ump.edu.my/id/eprint/23344/ http://umpir.ump.edu.my/id/eprint/23344/ http://umpir.ump.edu.my/id/eprint/23344/ http://umpir.ump.edu.my/id/eprint/23344/8/Three-dimensional%20flow%20of%20a%20nanofluid%20over%20a%20permeable1.pdf
first_indexed	2023-09-18T22:34:54Z
last_indexed	2023-09-18T22:34:54Z
_version_	1777416530058805248

Three-dimensional flow of a nanofluid over a permeable stretching/shrinking surface with velocity slip: A revised model

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