Effect of chemical reaction and radiation on double diffusive flow of a viscous, dissipative fluid through porous medium in a rectangular cavity with heat sources
In this paper, an attempt is made to discuss the combined influence of radiation and dissipation on the convective heat and mass transfer flow of a viscous fluid through a porous medium in a rectangular cavity using the Darcy model. Making use of the incompressibility, the governing non-linear coupl...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2013-12-01
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| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Effect-of-chemical-reaction-and-radiation-on-double-diffusive-flow-of-a-viscous-dissipative,167285,0,2.html |
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| author | T.L. Raju P. Muralidhar |
| author_facet | T.L. Raju P. Muralidhar |
| author_sort | T.L. Raju |
| collection | DOAJ |
| description | In this paper, an attempt is made to discuss the combined influence of radiation and dissipation on the convective heat and mass transfer flow of a viscous fluid through a porous medium in a rectangular cavity using the Darcy model. Making use of the incompressibility, the governing non-linear coupled equations for the momentum, energy and diffusion are derived in terms of the non-dimensional stream function, temperature and concentration. The Galerkin finite element analysis with linear triangular elements is used to obtain the global stiffness matrices for the values of stream function, temperature and concentration. These coupled matrices are solved using an iterative procedure and expressions for the stream function, temperature and concentration are obtained as linear combinations of the shape functions. The behavior of temperature, concentration, the Nusselt number and Sherwood number is discussed computationally for different values of the governing parameters, such as the Rayleigh Number (Ra), heat source parameter (α), Eckert number (Ec), Schmidt Number (Sc), Soret parameter (S 0 ), buoyancy ratio (N). |
| first_indexed | 2024-03-12T16:41:54Z |
| format | Article |
| id | doaj.art-e028e016ff8e4264be60ede07a54c3a3 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:41:54Z |
| publishDate | 2013-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-e028e016ff8e4264be60ede07a54c3a32023-08-08T14:27:24ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-12-011841115115010.2478/ijame-2013-0070167285Effect of chemical reaction and radiation on double diffusive flow of a viscous, dissipative fluid through porous medium in a rectangular cavity with heat sourcesT.L. Raju0P. Muralidhar1Dept. of Engineering Mathematics A.U. College of Engineering (A), Andhra University Visakhapatnam-530 003, A.P., INDIADept. of Engineering Mathematics A.U. College of Engineering (A), Andhra University Visakhapatnam-530 003, A.P., INDIAIn this paper, an attempt is made to discuss the combined influence of radiation and dissipation on the convective heat and mass transfer flow of a viscous fluid through a porous medium in a rectangular cavity using the Darcy model. Making use of the incompressibility, the governing non-linear coupled equations for the momentum, energy and diffusion are derived in terms of the non-dimensional stream function, temperature and concentration. The Galerkin finite element analysis with linear triangular elements is used to obtain the global stiffness matrices for the values of stream function, temperature and concentration. These coupled matrices are solved using an iterative procedure and expressions for the stream function, temperature and concentration are obtained as linear combinations of the shape functions. The behavior of temperature, concentration, the Nusselt number and Sherwood number is discussed computationally for different values of the governing parameters, such as the Rayleigh Number (Ra), heat source parameter (α), Eckert number (Ec), Schmidt Number (Sc), Soret parameter (S 0 ), buoyancy ratio (N).https://www.ijame-poland.com/Effect-of-chemical-reaction-and-radiation-on-double-diffusive-flow-of-a-viscous-dissipative,167285,0,2.htmlheat and mass transfer flowradiationdissipationheat sourcesrectangular cavityporous medium |
| spellingShingle | T.L. Raju P. Muralidhar Effect of chemical reaction and radiation on double diffusive flow of a viscous, dissipative fluid through porous medium in a rectangular cavity with heat sources International Journal of Applied Mechanics and Engineering heat and mass transfer flow radiation dissipation heat sources rectangular cavity porous medium |
| title | Effect of chemical reaction and radiation on double diffusive flow of a viscous, dissipative fluid through porous medium in a rectangular cavity with heat sources |
| title_full | Effect of chemical reaction and radiation on double diffusive flow of a viscous, dissipative fluid through porous medium in a rectangular cavity with heat sources |
| title_fullStr | Effect of chemical reaction and radiation on double diffusive flow of a viscous, dissipative fluid through porous medium in a rectangular cavity with heat sources |
| title_full_unstemmed | Effect of chemical reaction and radiation on double diffusive flow of a viscous, dissipative fluid through porous medium in a rectangular cavity with heat sources |
| title_short | Effect of chemical reaction and radiation on double diffusive flow of a viscous, dissipative fluid through porous medium in a rectangular cavity with heat sources |
| title_sort | effect of chemical reaction and radiation on double diffusive flow of a viscous dissipative fluid through porous medium in a rectangular cavity with heat sources |
| topic | heat and mass transfer flow radiation dissipation heat sources rectangular cavity porous medium |
| url | https://www.ijame-poland.com/Effect-of-chemical-reaction-and-radiation-on-double-diffusive-flow-of-a-viscous-dissipative,167285,0,2.html |
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