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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/634746 |
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| author | Norihan Md. Arifin Roslinda Nazar Ioan Pop |
| author_facet | Norihan Md. Arifin Roslinda Nazar Ioan Pop |
| author_sort | Norihan Md. Arifin |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-bb9e364ef15d404ba33625055b12f56d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bb9e364ef15d404ba33625055b12f56d2025-02-03T00:59:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/634746634746Similarity Solution of Marangoni Convection Boundary Layer Flow over a Flat Surface in a NanofluidNorihan Md. Arifin0Roslinda Nazar1Ioan Pop2Institute for Mathematical Research and Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaDepartment of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaThe 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.http://dx.doi.org/10.1155/2013/634746 |
| spellingShingle | Norihan Md. Arifin Roslinda Nazar Ioan Pop Similarity Solution of Marangoni Convection Boundary Layer Flow over a Flat Surface in a Nanofluid Journal of Applied Mathematics |
| 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://dx.doi.org/10.1155/2013/634746 |
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