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Heat and mass transfer in MHD boundary layer flow over a nonlinear stretching sheet in a nanofluid with convective boundary condition and viscous dissipation
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: Orchid ID: 0000-0002-3907-650X
Gulbarga University, Gulbarga, Karnataka, India .
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2016 (English)In: Engineering Mathematics I: Electromagnetics, Fluid Mechanics, Material Physics and Financial Engineering / [ed] Sergei Silvestrov, Milica Rančić, Springer, 2016, Vol. 178, 203-219 p.Chapter in book (Refereed)
Abstract [en]

We analyzed the boundary layer flow and heat transfer over a stretching sheet due to nanofluids with the effects of magnetic field, Brownian motion, thermophoresis, viscous dissipation and convective boundary conditions. The transport equations used in the analysis took into account the effect of Brownian motion and thermophoresis parameters. The highly nonlinear partial differential equations governing flow and heat transport are simplified using similarity transformation. Resultant ordinary differential equations are solved numerically using the Runge-Kutta-Fehlberg and Newton-Raphson schemes based on the shooting method. The solutions velocity temperature and nanoparticle concentration depend on parameters such as Brownian motion, thermophoresis parameter, magnetic field and viscous dissipation, which have a significant influence on controlling the dynamics of the considered problem. Comparison with known results for certain particular cases shows an excellent agreement.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 178, 203-219 p.
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009, E-ISSN 2194-1017 ; 178
Keyword [en]
brownian motion, convective boundary conditions, magnetohydrodynamics (MHD), nanoliquid, thermophoresis
National Category
Computational Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-35103DOI: 10.1007/978-3-319-42082-0_13Scopus ID: 2-s2.0-85015274709ISBN: 978-3-319-42081-3 (print)ISBN: 978-3-319-42082-0 (electronic)OAI: oai:DiVA.org:mdh-35103DiVA: diva2:1085803
Projects
FUSION
Funder
EU, European Research Council
Available from: 2017-03-30 Created: 2017-03-30 Last updated: 2017-09-04Bibliographically approved

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Publisher's full textScopushttps://link.springer.com/chapter/10.1007/978-3-319-42082-0_13

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CiteExportLink to record
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Citation style
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