Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three-Dimensional Body
Analytical results are presented for a steady three-dimensional free convection flow in the stagnation point region over a general curved isothermal surface placed in a nanofluid. The momentum equations in x- and y-directions, energy balance equation, and nanoparticle concentration equation are redu...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/158269 |
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| author | Umer Farooq Hang Xu |
| author_facet | Umer Farooq Hang Xu |
| author_sort | Umer Farooq |
| collection | DOAJ |
| description | Analytical results are presented for a steady three-dimensional free convection flow in the stagnation point region over a general curved isothermal surface placed in a nanofluid. The momentum equations in x- and y-directions, energy balance equation, and nanoparticle concentration equation are reduced to a set of four fully coupled nonlinear differential equations under appropriate similarity transformations. The well known technique optimal homotopy analysis method (OHAM) is used to obtain the exact solution explicitly, whose convergence is then checked in detail. Besides, the effects of the physical parameters, such as the Lewis number, the Brownian motion parameter, the thermophoresis parameter, and the buoyancy ratio on the profiles of velocities, temperature, and concentration, are studied and discussed. Furthermore the local skin friction coefficients in x- and y-directions, the local Nusselt number, and the local Sherwood number are examined for various values of the physical parameters. |
| format | Article |
| id | doaj-art-ce4926866f5d49e2a650e5e49ac9c071 |
| institution | DOAJ |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ce4926866f5d49e2a650e5e49ac9c0712025-08-20T03:19:41ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/158269158269Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three-Dimensional BodyUmer Farooq0Hang Xu1State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaState Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaAnalytical results are presented for a steady three-dimensional free convection flow in the stagnation point region over a general curved isothermal surface placed in a nanofluid. The momentum equations in x- and y-directions, energy balance equation, and nanoparticle concentration equation are reduced to a set of four fully coupled nonlinear differential equations under appropriate similarity transformations. The well known technique optimal homotopy analysis method (OHAM) is used to obtain the exact solution explicitly, whose convergence is then checked in detail. Besides, the effects of the physical parameters, such as the Lewis number, the Brownian motion parameter, the thermophoresis parameter, and the buoyancy ratio on the profiles of velocities, temperature, and concentration, are studied and discussed. Furthermore the local skin friction coefficients in x- and y-directions, the local Nusselt number, and the local Sherwood number are examined for various values of the physical parameters.http://dx.doi.org/10.1155/2014/158269 |
| spellingShingle | Umer Farooq Hang Xu Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three-Dimensional Body The Scientific World Journal |
| title | Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three-Dimensional Body |
| title_full | Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three-Dimensional Body |
| title_fullStr | Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three-Dimensional Body |
| title_full_unstemmed | Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three-Dimensional Body |
| title_short | Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three-Dimensional Body |
| title_sort | free convection nanofluid flow in the stagnation point region of a three dimensional body |
| url | http://dx.doi.org/10.1155/2014/158269 |
| work_keys_str_mv | AT umerfarooq freeconvectionnanofluidflowinthestagnationpointregionofathreedimensionalbody AT hangxu freeconvectionnanofluidflowinthestagnationpointregionofathreedimensionalbody |