Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation

Present study considers the mathematical model of free convection boundary layer flow and heat transfer in a nanofluid over a solid sphere with viscous dissipation effect. The transformed partial differential equations are solved numerically using the Keller-box method. The numerical values for the...

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Main Authors: Muhammad Khairul Anuar, Mohamed, Nor Aida Zuraimi, Md Noar, Mohd Zuki, Salleh, Anuar, Ishak
Format: Article
Language:English
Published: UTM Press 2019
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/25267/
http://umpir.ump.edu.my/id/eprint/25267/1/Free%20convection%20boundary%20layer%20flow%20on%20a%20solid%20sphere.pdf
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author Muhammad Khairul Anuar, Mohamed
Nor Aida Zuraimi, Md Noar
Mohd Zuki, Salleh
Anuar, Ishak
author_facet Muhammad Khairul Anuar, Mohamed
Nor Aida Zuraimi, Md Noar
Mohd Zuki, Salleh
Anuar, Ishak
author_sort Muhammad Khairul Anuar, Mohamed
building UMP Institutional Repository
collection Online Access
description Present study considers the mathematical model of free convection boundary layer flow and heat transfer in a nanofluid over a solid sphere with viscous dissipation effect. The transformed partial differential equations are solved numerically using the Keller-box method. The numerical values for the reduced Nusselt number, reduced Sherwood number and the reduced local skin friction coefficient are obtained, as well as concentration profiles, temperature profiles and velocity profiles are illustrated graphically. Effects of the pertinent parameters, which are the Prandtl number, buoyancy ratio parameter, Brownian motion parameter, thermophoresis parameter, Lewis number and Eckert number are analyzed and discussed. It is found that the increase of Brownian motion parameter promoted the reduce of concentration boundary layer thickness while thermophoresis parameter did oppositely. It is worth mentioning that the results reported here are important for the researchers working in this area which can be used as a reference and comparison purposes in the future.
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publishDate 2019
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spelling ump-252672019-07-09T03:13:29Z http://umpir.ump.edu.my/id/eprint/25267/ Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation Muhammad Khairul Anuar, Mohamed Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Anuar, Ishak QA Mathematics Present study considers the mathematical model of free convection boundary layer flow and heat transfer in a nanofluid over a solid sphere with viscous dissipation effect. The transformed partial differential equations are solved numerically using the Keller-box method. The numerical values for the reduced Nusselt number, reduced Sherwood number and the reduced local skin friction coefficient are obtained, as well as concentration profiles, temperature profiles and velocity profiles are illustrated graphically. Effects of the pertinent parameters, which are the Prandtl number, buoyancy ratio parameter, Brownian motion parameter, thermophoresis parameter, Lewis number and Eckert number are analyzed and discussed. It is found that the increase of Brownian motion parameter promoted the reduce of concentration boundary layer thickness while thermophoresis parameter did oppositely. It is worth mentioning that the results reported here are important for the researchers working in this area which can be used as a reference and comparison purposes in the future. UTM Press 2019 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/25267/1/Free%20convection%20boundary%20layer%20flow%20on%20a%20solid%20sphere.pdf Muhammad Khairul Anuar, Mohamed and Nor Aida Zuraimi, Md Noar and Mohd Zuki, Salleh and Anuar, Ishak (2019) Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation. Malaysian Journal of Fundamental and Applied Sciences, 15 (3). pp. 381-388. ISSN 2289-5981. (Published) https://mjfas.utm.my/index.php/mjfas/article/view/1183 https://doi.org/10.11113/mjfas.v15n3.1183
spellingShingle QA Mathematics
Muhammad Khairul Anuar, Mohamed
Nor Aida Zuraimi, Md Noar
Mohd Zuki, Salleh
Anuar, Ishak
Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation
title Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation
title_full Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation
title_fullStr Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation
title_full_unstemmed Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation
title_short Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation
title_sort free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation
topic QA Mathematics
url http://umpir.ump.edu.my/id/eprint/25267/
http://umpir.ump.edu.my/id/eprint/25267/
http://umpir.ump.edu.my/id/eprint/25267/
http://umpir.ump.edu.my/id/eprint/25267/1/Free%20convection%20boundary%20layer%20flow%20on%20a%20solid%20sphere.pdf