Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method

Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method

Natural convection boundary layer flow over a solid sphere in micropolar nanofluid with prescribed wall temperature is studied. Copper (Cu) and alumina (Al2O3) in water-based micropolar nanofluid has been considered. Tiwari and Das’s nanofluid model with realistic empirical correlations are consider...

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Main Authors: Mohammed Z. Swalmeh, Hamzeh T. Alkasasbeh, Abid Hussanan, Mustafa Mamat
Format: Article
Language:English
Published: Elsevier 2018-06-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718301086
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spelling doaj-ea7594daec8e4dd4ab79c446d62432eb2020-11-25T00:41:59ZengElsevierResults in Physics2211-37972018-06-019717724Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box methodMohammed Z. Swalmeh0Hamzeh T. Alkasasbeh1Abid Hussanan2Mustafa Mamat3Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin (Kampus Gong Badak), 21300 Kuala Terengganu, Terengganu, Malaysia; Faculty of Arts and Sciences, Aqaba University of Technology, Aqaba, JordanDepartment of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, JordanDivision of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam; Corresponding author at: Ton Duc Thang University, Ho Chi Minh City, Viet Nam.Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin (Kampus Gong Badak), 21300 Kuala Terengganu, Terengganu, MalaysiaNatural convection boundary layer flow over a solid sphere in micropolar nanofluid with prescribed wall temperature is studied. Copper (Cu) and alumina (Al2O3) in water-based micropolar nanofluid has been considered. Tiwari and Das’s nanofluid model with realistic empirical correlations are considered to analyze the nanoparticles effects on natural convective flow. The nonlinear partial differential equations of the boundary layer are first transformed into a non-dimensional form and then solved numerically using an implicit finite difference scheme known as Keller-box method. The effects of nanoparticles volume fraction, Prandtl number, micro-rotation parameter on temperature, velocity and angular velocity are plotted and discussed. Further, numerical results for the local Nusselt number and the local skin friction coefficient are obtained. It is found that Cu has a low heat transfer rate as compare to Al2O3 water-based micropolar nanofluid with increasing micro-rotation parameter. The present results of local Nusselt number and the local skin friction for viscous fluid are found to be in good agreement with the literature. Keywords: Micropolar nanofluid, Natural convection, Solid sphere, Keller-box methodhttp://www.sciencedirect.com/science/article/pii/S2211379718301086
collection DOAJ
language English
format Article
sources DOAJ
author Mohammed Z. Swalmeh
Hamzeh T. Alkasasbeh
Abid Hussanan
Mustafa Mamat
spellingShingle Mohammed Z. Swalmeh
Hamzeh T. Alkasasbeh
Abid Hussanan
Mustafa Mamat
Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method
Results in Physics
author_facet Mohammed Z. Swalmeh
Hamzeh T. Alkasasbeh
Abid Hussanan
Mustafa Mamat
author_sort Mohammed Z. Swalmeh
title Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method
title_short Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method
title_full Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method
title_fullStr Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method
title_full_unstemmed Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method
title_sort heat transfer flow of cu-water and al2o3-water micropolar nanofluids about a solid sphere in the presence of natural convection using keller-box method
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-06-01
description Natural convection boundary layer flow over a solid sphere in micropolar nanofluid with prescribed wall temperature is studied. Copper (Cu) and alumina (Al2O3) in water-based micropolar nanofluid has been considered. Tiwari and Das’s nanofluid model with realistic empirical correlations are considered to analyze the nanoparticles effects on natural convective flow. The nonlinear partial differential equations of the boundary layer are first transformed into a non-dimensional form and then solved numerically using an implicit finite difference scheme known as Keller-box method. The effects of nanoparticles volume fraction, Prandtl number, micro-rotation parameter on temperature, velocity and angular velocity are plotted and discussed. Further, numerical results for the local Nusselt number and the local skin friction coefficient are obtained. It is found that Cu has a low heat transfer rate as compare to Al2O3 water-based micropolar nanofluid with increasing micro-rotation parameter. The present results of local Nusselt number and the local skin friction for viscous fluid are found to be in good agreement with the literature. Keywords: Micropolar nanofluid, Natural convection, Solid sphere, Keller-box method
url http://www.sciencedirect.com/science/article/pii/S2211379718301086
work_keys_str_mv AT mohammedzswalmeh heattransferflowofcuwaterandal2o3watermicropolarnanofluidsaboutasolidsphereinthepresenceofnaturalconvectionusingkellerboxmethod
AT hamzehtalkasasbeh heattransferflowofcuwaterandal2o3watermicropolarnanofluidsaboutasolidsphereinthepresenceofnaturalconvectionusingkellerboxmethod
AT abidhussanan heattransferflowofcuwaterandal2o3watermicropolarnanofluidsaboutasolidsphereinthepresenceofnaturalconvectionusingkellerboxmethod
AT mustafamamat heattransferflowofcuwaterandal2o3watermicropolarnanofluidsaboutasolidsphereinthepresenceofnaturalconvectionusingkellerboxmethod
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