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Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect

An analysis is performed to study the flow and heat transfer characteristics on a moving plate in a nanofluid. The governing nonlinear differential equations are transformed into a system of nonlinear ordinary equations using a similarity transformation which is then solved numerically using a shoo...

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Main Authors: Bachok @ Lati, Norfifah, Najib, Najwa, Md. Arifin, Norihan, Senu, Norazak
Format: Article
Language:English
Published: World Scientific and Engineering Academy and Society 2016
Online Access:http://psasir.upm.edu.my/id/eprint/53875/1/Stability%20of%20dual%20solutions%20in%20boundary%20layer%20flow%20and%20heat%20transfer%20.pdf
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spelling my.upm.eprints.538752018-02-19T07:40:32Z http://psasir.upm.edu.my/id/eprint/53875/ Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect Bachok @ Lati, Norfifah Najib, Najwa Md. Arifin, Norihan Senu, Norazak An analysis is performed to study the flow and heat transfer characteristics on a moving plate in a nanofluid. The governing nonlinear differential equations are transformed into a system of nonlinear ordinary equations using a similarity transformation which is then solved numerically using a shooting method. While, for the stability analysis, the unsteady problem has to be introduced by introducing new dimensionless time variable which is then solved numerically using solver bvp4c. The numerical results are presented in tables and graphs for the skin friction coefficient and the local Nusselt number as well as the velocity and the temperature profile for a range of various parameters such as nanoparticles volume fraction, first order slip parameter and velocity ratio parameter. It is observed that the skin friction coefficient and the local Nusselt number which represents the heat transfer rate at the surface are significantly influenced by these parameters. The results indicate that dual solutions (first and second solutions) exist when the plate and free stream move in the opposite direction. A stability analysis has been performed to show which solutions are stable and physically realizable. Based on the analysis, the results indicate that the first solution is linearly stable, while the second solution is linearly unstable. World Scientific and Engineering Academy and Society 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53875/1/Stability%20of%20dual%20solutions%20in%20boundary%20layer%20flow%20and%20heat%20transfer%20.pdf Bachok @ Lati, Norfifah and Najib, Najwa and Md. Arifin, Norihan and Senu, Norazak (2016) Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect. WSEAS Transantions on Fluid Mechanics, 11 (19). pp. 151-158. ISSN 1790-5087; ESSN: 2224-347X http://wseas.org/wseas/cms.action?id=12562
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 An analysis is performed to study the flow and heat transfer characteristics on a moving plate in a nanofluid. The governing nonlinear differential equations are transformed into a system of nonlinear ordinary equations using a similarity transformation which is then solved numerically using a shooting method. While, for the stability analysis, the unsteady problem has to be introduced by introducing new dimensionless time variable which is then solved numerically using solver bvp4c. The numerical results are presented in tables and graphs for the skin friction coefficient and the local Nusselt number as well as the velocity and the temperature profile for a range of various parameters such as nanoparticles volume fraction, first order slip parameter and velocity ratio parameter. It is observed that the skin friction coefficient and the local Nusselt number which represents the heat transfer rate at the surface are significantly influenced by these parameters. The results indicate that dual solutions (first and second solutions) exist when the plate and free stream move in the opposite direction. A stability analysis has been performed to show which solutions are stable and physically realizable. Based on the analysis, the results indicate that the first solution is linearly stable, while the second solution is linearly unstable.
format Article
author Bachok @ Lati, Norfifah
Najib, Najwa
Md. Arifin, Norihan
Senu, Norazak
spellingShingle Bachok @ Lati, Norfifah
Najib, Najwa
Md. Arifin, Norihan
Senu, Norazak
Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect
author_facet Bachok @ Lati, Norfifah
Najib, Najwa
Md. Arifin, Norihan
Senu, Norazak
author_sort Bachok @ Lati, Norfifah
title Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect
title_short Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect
title_full Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect
title_fullStr Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect
title_full_unstemmed Stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect
title_sort stability of dual solutions in boundary layer flow and heat transfer on a moving plate in a copper-water nanofluid with slip effect
publisher World Scientific and Engineering Academy and Society
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/53875/1/Stability%20of%20dual%20solutions%20in%20boundary%20layer%20flow%20and%20heat%20transfer%20.pdf
http://psasir.upm.edu.my/id/eprint/53875/
http://wseas.org/wseas/cms.action?id=12562
_version_ 1643835511491526656
score 13.211869

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