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...

Full description

Bibliographic Details
Main Authors: Alias Jedi, Noorhelyna Razali, Wan Mohd Faizal Wan Mahmood, Nor Ashikin Abu Bakar
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/11/11/1367
_version_ 1798039207243939840
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.
first_indexed 2024-04-11T21:50:42Z
format Article
id doaj.art-b70829c0acb44d00ae094bb305166042
institution Directory Open Access Journal
issn 2073-8994
language English
last_indexed 2024-04-11T21:50:42Z
publishDate 2019-11-01
publisher MDPI AG
record_format Article
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
work_keys_str_mv AT aliasjedi statisticalcriteriaofnanofluidflowsoverastretchingsheetwiththeeffectsofmagneticfieldandviscousdissipation
AT noorhelynarazali statisticalcriteriaofnanofluidflowsoverastretchingsheetwiththeeffectsofmagneticfieldandviscousdissipation
AT wanmohdfaizalwanmahmood statisticalcriteriaofnanofluidflowsoverastretchingsheetwiththeeffectsofmagneticfieldandviscousdissipation
AT norashikinabubakar statisticalcriteriaofnanofluidflowsoverastretchingsheetwiththeeffectsofmagneticfieldandviscousdissipation