Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation

In this study, the numerical investigation of boundary layer flow over a moving plate in a nanofluid with viscous dissipation and constant wall temperature is considered. The governing non-linear partial differential equations are first transformed into a system of ordinary differential equations...

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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: JAFM 2016
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/15699/1/JAFM%20published.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
collection UMP
description In this study, the numerical investigation of boundary layer flow over a moving plate in a nanofluid with viscous dissipation and constant wall temperature is considered. The governing non-linear partial differential equations are first transformed into a system of ordinary differential equations using a similarity transformation. The transformed equations are then solved numerically using the Keller-box method. Numerical solutions are obtained for the Nusselt number, Sherwood number and the skin friction coefficient as well as the concentration and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number, plate velocity parameter, Brownian motion and thermopherosis parameters, Eckert number and Lewis number are analyzed and discussed. It is found that the presence of viscous dissipation reduces the range of the plate velocity parameter for which the solution exists. The increase of both Brownian motion and thermophoresis parameters results to the decrease of the Nusselt number, while the Sherwood number increases with the increase of the thermophoresis parameter.
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spelling UMPir156992018-09-06T06:37:50Z http://umpir.ump.edu.my/id/eprint/15699/ Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation Muhammad Khairul Anuar, Mohamed Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Anuar, Ishak QA Mathematics In this study, the numerical investigation of boundary layer flow over a moving plate in a nanofluid with viscous dissipation and constant wall temperature is considered. The governing non-linear partial differential equations are first transformed into a system of ordinary differential equations using a similarity transformation. The transformed equations are then solved numerically using the Keller-box method. Numerical solutions are obtained for the Nusselt number, Sherwood number and the skin friction coefficient as well as the concentration and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number, plate velocity parameter, Brownian motion and thermopherosis parameters, Eckert number and Lewis number are analyzed and discussed. It is found that the presence of viscous dissipation reduces the range of the plate velocity parameter for which the solution exists. The increase of both Brownian motion and thermophoresis parameters results to the decrease of the Nusselt number, while the Sherwood number increases with the increase of the thermophoresis parameter. JAFM 2016-11-25 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/15699/1/JAFM%20published.pdf Muhammad Khairul Anuar, Mohamed and Nor Aida Zuraimi, Md Noar and Mohd Zuki, Salleh and Anuar, Ishak (2016) Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation. Journal of Applied Fluid Mechanics, 9 (5). pp. 2369-2377. ISSN 1735-3572(Print); 1735-3645(Online). (Published) http://jafmonline.net/web/guest/home?p_p_id=JournalArchive_WAR_JournalArchive_INSTANCE_nvhn&p_p_action=0&p_p_state=maximized&p_p_mode=view&_JournalArchive_WAR_JournalArchive_INSTANCE_nvhn_form_page=main_form&selectedVolumeId=68&selectedIssueId=236
spellingShingle QA Mathematics
Muhammad Khairul Anuar, Mohamed
Nor Aida Zuraimi, Md Noar
Mohd Zuki, Salleh
Anuar, Ishak
Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation
title Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation
title_full Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation
title_fullStr Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation
title_full_unstemmed Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation
title_short Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation
title_sort mathematical model of boundary layer flow over a moving plate in a nanofluid with viscous dissipation
topic QA Mathematics
url http://umpir.ump.edu.my/id/eprint/15699/1/JAFM%20published.pdf
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