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MHD Boundary Layer Flow over a Nonlinear Stretching Sheet in a Nanofluid with Convective Boundary Condition
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-3907-650X
Department of Mathematics, 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] Silvestrov, Sergei; Rancic, Milica, Springer, 2016Chapter 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.
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 178
Keywords [en]
MHD, convective boundary conditions, heat transfer
National Category
Computational Mathematics Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33226ISBN: 9783319420813 (print)ISBN: 331942081X (print)OAI: oai:DiVA.org:mdh-33226DiVA, id: diva2:974099
Projects
FUSION
Funder
EU, European Research CouncilAvailable from: 2016-09-23 Created: 2016-09-23 Last updated: 2019-01-15Bibliographically approved

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http://www.springer.com/gp/book/9783319420813

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Metri, Prashant GSilvestrov, Sergei

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