Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above
A linear stability analysis is used to investigate the influence of mechanical vibration on the onset of thermosolutal convection in a horizontal porous layer heated and salted from above. Vibrations are considered with arbitrary amplitude and frequency. The Brinkman extended Darcy model is used to...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2012-07-01
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| Series: | MATEC Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/matecconf/20120106005 |
| _version_ | 1818886107674181632 |
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| author | Saravanan S. Sivakumar T. |
| author_facet | Saravanan S. Sivakumar T. |
| author_sort | Saravanan S. |
| collection | DOAJ |
| description | A linear stability analysis is used to investigate the influence of mechanical vibration on the onset of thermosolutal convection in a horizontal porous layer heated and salted from above. Vibrations are considered with arbitrary amplitude and frequency. The Brinkman extended Darcy model is used to describe the flow and the Oberbeck-Boussinesq approximation is employed. Continued fraction method and Floquet theory are used to determine the convective instability threshold. It is found that the solutal Rayleigh number has the stabilizing effect. The existence of a closed disconnected loop of synchronous mode is predicted in the marginal curve for moderate values of solutal Rayleigh number and vibration amplitude. |
| first_indexed | 2024-12-19T16:16:05Z |
| format | Article |
| id | doaj.art-dc97ff5497ee40e8b85925a1d8becc3a |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-19T16:16:05Z |
| publishDate | 2012-07-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-dc97ff5497ee40e8b85925a1d8becc3a2022-12-21T20:14:37ZengEDP SciencesMATEC Web of Conferences2261-236X2012-07-0110600510.1051/matecconf/20120106005Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from AboveSaravanan S.Sivakumar T.A linear stability analysis is used to investigate the influence of mechanical vibration on the onset of thermosolutal convection in a horizontal porous layer heated and salted from above. Vibrations are considered with arbitrary amplitude and frequency. The Brinkman extended Darcy model is used to describe the flow and the Oberbeck-Boussinesq approximation is employed. Continued fraction method and Floquet theory are used to determine the convective instability threshold. It is found that the solutal Rayleigh number has the stabilizing effect. The existence of a closed disconnected loop of synchronous mode is predicted in the marginal curve for moderate values of solutal Rayleigh number and vibration amplitude.http://dx.doi.org/10.1051/matecconf/20120106005 |
| spellingShingle | Saravanan S. Sivakumar T. Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above MATEC Web of Conferences |
| title | Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above |
| title_full | Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above |
| title_fullStr | Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above |
| title_full_unstemmed | Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above |
| title_short | Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above |
| title_sort | onset of vibrational convection in a binary fluid saturated non darcy porous layer heated from above |
| url | http://dx.doi.org/10.1051/matecconf/20120106005 |
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