Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity
The heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated porous medium subject to variable viscosity are numerically analyzed, by taking into account the diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. The governing equations...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/634806 |
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| author | M. B. K. Moorthy K. Senthilvadivu |
| author_facet | M. B. K. Moorthy K. Senthilvadivu |
| author_sort | M. B. K. Moorthy |
| collection | DOAJ |
| description | The heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated porous medium subject to variable viscosity are numerically analyzed, by taking into account the diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. The governing equations of continuity, momentum, energy, and concentrations are transformed into nonlinear ordinary differential equations, using similarity transformations, and then solved by using Runge-Kutta-Gill method along with shooting technique. The parameters of the problem are variable viscosity, buoyancy ratio, Lewis number, Prandtl number, Dufour effect, Soret effect, and Schmidt number. The velocity, temperature, and concentration distributions are presented graphically. The Nusselt number and Sherwood number are also derived and discussed numerically. |
| format | Article |
| id | doaj-art-3105d63223474f039f547f5fe197d0ff |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3105d63223474f039f547f5fe197d0ff2025-02-03T01:10:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/634806634806Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable ViscosityM. B. K. Moorthy0K. Senthilvadivu1Department of Mathematics, Institute of Road and Transport Technology, Erode, Tamilnadu 638316, IndiaDepartment of Mathematics, K. S. Rangasamy College of Technology, Tiruchengode, Tamilnadu 637215, IndiaThe heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated porous medium subject to variable viscosity are numerically analyzed, by taking into account the diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. The governing equations of continuity, momentum, energy, and concentrations are transformed into nonlinear ordinary differential equations, using similarity transformations, and then solved by using Runge-Kutta-Gill method along with shooting technique. The parameters of the problem are variable viscosity, buoyancy ratio, Lewis number, Prandtl number, Dufour effect, Soret effect, and Schmidt number. The velocity, temperature, and concentration distributions are presented graphically. The Nusselt number and Sherwood number are also derived and discussed numerically.http://dx.doi.org/10.1155/2012/634806 |
| spellingShingle | M. B. K. Moorthy K. Senthilvadivu Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity Journal of Applied Mathematics |
| title | Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity |
| title_full | Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity |
| title_fullStr | Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity |
| title_full_unstemmed | Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity |
| title_short | Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity |
| title_sort | soret and dufour effects on natural convection flow past a vertical surface in a porous medium with variable viscosity |
| url | http://dx.doi.org/10.1155/2012/634806 |
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