Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation
In this study, the heat and mass transfer characteristics of nanofluid flow over a nonlinearly stretching sheet are investigated. The important effects of axisymmetric of thermal conductivity and viscous dissipation have been included in the model of nanofluids. The Buongiorno model is considered to...
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MDPI AG
2019-11-01
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Series: | Symmetry |
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Online Access: | https://www.mdpi.com/2073-8994/11/11/1367 |
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author | Alias Jedi Noorhelyna Razali Wan Mohd Faizal Wan Mahmood Nor Ashikin Abu Bakar |
author_facet | Alias Jedi Noorhelyna Razali Wan Mohd Faizal Wan Mahmood Nor Ashikin Abu Bakar |
author_sort | Alias Jedi |
collection | DOAJ |
description | In this study, the heat and mass transfer characteristics of nanofluid flow over a nonlinearly stretching sheet are investigated. The important effects of axisymmetric of thermal conductivity and viscous dissipation have been included in the model of nanofluids. The Buongiorno model is considered to solve the nanofluid boundary layer problem. The governing nonlinear partial differential equations have been transformed into a system of ordinary differential equations and are solved numerically via the shooting technique. The validity of this method was verified by comparison with previous work performed for nanofluids without the effects of the magnetic field and viscous dissipation. The analytical investigation is carried out for different governing parameters, namely, the Brownian motion parameter, thermophoresis parameter, magnetic parameter, Biot number, and Eckert number. The results indicate that the skin friction coefficient has a direct relationship with the Brownian motion number and thermophoresis number. Moreover, it can be seen that the Nusselt number decreases with the increase of the magnetic parameter and Eckert number. |
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format | Article |
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issn | 2073-8994 |
language | English |
last_indexed | 2024-04-11T21:50:42Z |
publishDate | 2019-11-01 |
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series | Symmetry |
spelling | doaj.art-b70829c0acb44d00ae094bb3051660422022-12-22T04:01:15ZengMDPI AGSymmetry2073-89942019-11-011111136710.3390/sym11111367sym11111367Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous DissipationAlias Jedi0Noorhelyna Razali1Wan Mohd Faizal Wan Mahmood2Nor Ashikin Abu Bakar3Centre for Integrated Design for Advanced Mechanical Systems (PRISMA), Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaCentre for Integrated Design for Advanced Mechanical Systems (PRISMA), Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaCentre for Integrated Design for Advanced Mechanical Systems (PRISMA), Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaInstitut Matematik Kejuruteraan, Universiti Malaysia Perlis, Arau 02600, MalaysiaIn this study, the heat and mass transfer characteristics of nanofluid flow over a nonlinearly stretching sheet are investigated. The important effects of axisymmetric of thermal conductivity and viscous dissipation have been included in the model of nanofluids. The Buongiorno model is considered to solve the nanofluid boundary layer problem. The governing nonlinear partial differential equations have been transformed into a system of ordinary differential equations and are solved numerically via the shooting technique. The validity of this method was verified by comparison with previous work performed for nanofluids without the effects of the magnetic field and viscous dissipation. The analytical investigation is carried out for different governing parameters, namely, the Brownian motion parameter, thermophoresis parameter, magnetic parameter, Biot number, and Eckert number. The results indicate that the skin friction coefficient has a direct relationship with the Brownian motion number and thermophoresis number. Moreover, it can be seen that the Nusselt number decreases with the increase of the magnetic parameter and Eckert number.https://www.mdpi.com/2073-8994/11/11/1367boundary layer flownanofluidsmagnetic fieldviscous dissipationdual solutions |
spellingShingle | Alias Jedi Noorhelyna Razali Wan Mohd Faizal Wan Mahmood Nor Ashikin Abu Bakar Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation Symmetry boundary layer flow nanofluids magnetic field viscous dissipation dual solutions |
title | Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation |
title_full | Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation |
title_fullStr | Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation |
title_full_unstemmed | Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation |
title_short | Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation |
title_sort | statistical criteria of nanofluid flows over a stretching sheet with the effects of magnetic field and viscous dissipation |
topic | boundary layer flow nanofluids magnetic field viscous dissipation dual solutions |
url | https://www.mdpi.com/2073-8994/11/11/1367 |
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