Onset of Darcy–Benard Penetrative Convection in Porous Media
The onset of Darcy–Benard penetrative convection in a liquid saturated porous layer of high permeability of practical importance is investigated by employing the Brinkman–Forchheimer– Lapwood extended Darcy flow model with fluid viscosity different from effective viscosity. The lower boundary is tak...
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2017-01-01
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| Series: | Journal of Applied Fluid Mechanics |
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| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=42194&issue_ID=239 |
| _version_ | 1818772066358263808 |
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| author | Y. H. Gangadharaiah |
| author_facet | Y. H. Gangadharaiah |
| author_sort | Y. H. Gangadharaiah |
| collection | DOAJ |
| description | The onset of Darcy–Benard penetrative convection in a liquid saturated porous layer of high permeability of practical importance is investigated by employing the Brinkman–Forchheimer– Lapwood extended Darcy flow model with fluid viscosity different from effective viscosity. The lower boundary is taken to be rigid and isothermal and the upper surface is free and subject to the general thermal condition. The critical eigen values are obtained numerically, in general, using Galerkin method. The stability of the system is found to be dependent on the dimensionless internal heat source strength , permeability parameter and the ratio of effective viscosity to fluid viscosity . It is observed that the increase in the value of permeability parameter is to delay while increase in the value of internal heat source strength is to hasten the onset of convection in a fluid saturated porous layer. |
| first_indexed | 2024-12-18T10:03:27Z |
| format | Article |
| id | doaj.art-aa596d9cad5846df800ad602ec5d0609 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-18T10:03:27Z |
| publishDate | 2017-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-aa596d9cad5846df800ad602ec5d06092022-12-21T21:11:36ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722017-01-01102661666.Onset of Darcy–Benard Penetrative Convection in Porous MediaY. H. Gangadharaiah0V.T.UThe onset of Darcy–Benard penetrative convection in a liquid saturated porous layer of high permeability of practical importance is investigated by employing the Brinkman–Forchheimer– Lapwood extended Darcy flow model with fluid viscosity different from effective viscosity. The lower boundary is taken to be rigid and isothermal and the upper surface is free and subject to the general thermal condition. The critical eigen values are obtained numerically, in general, using Galerkin method. The stability of the system is found to be dependent on the dimensionless internal heat source strength , permeability parameter and the ratio of effective viscosity to fluid viscosity . It is observed that the increase in the value of permeability parameter is to delay while increase in the value of internal heat source strength is to hasten the onset of convection in a fluid saturated porous layer.http://jafmonline.net/JournalArchive/download?file_ID=42194&issue_ID=239Penetrative convection; Volumetric heat source; Darcy–Benard convection. |
| spellingShingle | Y. H. Gangadharaiah Onset of Darcy–Benard Penetrative Convection in Porous Media Journal of Applied Fluid Mechanics Penetrative convection; Volumetric heat source; Darcy–Benard convection. |
| title | Onset of Darcy–Benard Penetrative Convection in Porous Media |
| title_full | Onset of Darcy–Benard Penetrative Convection in Porous Media |
| title_fullStr | Onset of Darcy–Benard Penetrative Convection in Porous Media |
| title_full_unstemmed | Onset of Darcy–Benard Penetrative Convection in Porous Media |
| title_short | Onset of Darcy–Benard Penetrative Convection in Porous Media |
| title_sort | onset of darcy benard penetrative convection in porous media |
| topic | Penetrative convection; Volumetric heat source; Darcy–Benard convection. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=42194&issue_ID=239 |
| work_keys_str_mv | AT yhgangadharaiah onsetofdarcybenardpenetrativeconvectioninporousmedia |