Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid

The problem of steady Marangoni boundary layer flow and heat transfer over a flat plate in a nanofluid is studied using different types of nanoparticles. The general governing partial differential equations are transformed into a set of two nonlinear ordinary differential equations using unique simi...

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Main Authors: Md. Arifin, Norihan, Nazar, Roslinda, Pop, Ioan
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30384/
http://psasir.upm.edu.my/id/eprint/30384/1/Similarity%20solution%20of%20marangoni%20convection%20boundary%20layer%20flow%20over%20a%20flat%20surface%20in%20a%20nanofluid.pdf
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author Md. Arifin, Norihan
Nazar, Roslinda
Pop, Ioan
author_facet Md. Arifin, Norihan
Nazar, Roslinda
Pop, Ioan
author_sort Md. Arifin, Norihan
building UPM Institutional Repository
collection Online Access
description The problem of steady Marangoni boundary layer flow and heat transfer over a flat plate in a nanofluid is studied using different types of nanoparticles. The general governing partial differential equations are transformed into a set of two nonlinear ordinary differential equations using unique similarity transformation. Numerical solutions of the similarity equations are obtained using the Runge-Kutta-Fehlberg (RKF) method. Three different types of nanoparticles are considered, namely, Cu, Al2O3, and TiO2, by using water as a base fluid with Prandtl number Pr=6.2. The effects of the nanoparticle volume fraction φ and the constant exponent m on the flow and heat transfer characteristics are obtained and discussed.
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publisher Hindawi Publishing Corporation
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spelling upm-303842016-02-15T04:57:56Z http://psasir.upm.edu.my/id/eprint/30384/ Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid Md. Arifin, Norihan Nazar, Roslinda Pop, Ioan The problem of steady Marangoni boundary layer flow and heat transfer over a flat plate in a nanofluid is studied using different types of nanoparticles. The general governing partial differential equations are transformed into a set of two nonlinear ordinary differential equations using unique similarity transformation. Numerical solutions of the similarity equations are obtained using the Runge-Kutta-Fehlberg (RKF) method. Three different types of nanoparticles are considered, namely, Cu, Al2O3, and TiO2, by using water as a base fluid with Prandtl number Pr=6.2. The effects of the nanoparticle volume fraction φ and the constant exponent m on the flow and heat transfer characteristics are obtained and discussed. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30384/1/Similarity%20solution%20of%20marangoni%20convection%20boundary%20layer%20flow%20over%20a%20flat%20surface%20in%20a%20nanofluid.pdf Md. Arifin, Norihan and Nazar, Roslinda and Pop, Ioan (2013) Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid. Journal of Applied Mathematics, 2013. art. no. 634746. pp. 1-8. ISSN 1110-757X http://dx.doi.org/10.1155/2013/634746 10.1155/2013/634746
spellingShingle Md. Arifin, Norihan
Nazar, Roslinda
Pop, Ioan
Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid
title Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid
title_full Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid
title_fullStr Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid
title_full_unstemmed Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid
title_short Similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid
title_sort similarity solution of marangoni convection boundary layer flow over a flat surface in a nanofluid
url http://psasir.upm.edu.my/id/eprint/30384/
http://psasir.upm.edu.my/id/eprint/30384/
http://psasir.upm.edu.my/id/eprint/30384/
http://psasir.upm.edu.my/id/eprint/30384/1/Similarity%20solution%20of%20marangoni%20convection%20boundary%20layer%20flow%20over%20a%20flat%20surface%20in%20a%20nanofluid.pdf