Effect of thermal modulation on the onset of convection in a viscoelastic fluid saturated porous layer
The effect of thermal modulation on the onset of convection in a horizontal, anisotropic porous layer saturated by a viscoelastic fluid is investigated by a linear stability analysis. Darcy’s law with viscoelastic correction is used to describe the fluid motion. The perturbation method is used to fi...
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| Veröffentlicht in: | Transport in porous media 2006, Vol.62 (1), p.55-79 |
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| container_title | Transport in porous media |
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| creator | MALASHETTY, M. S SIDDHESHWAR, P. G SWAMY, Mahantesh |
| description | The effect of thermal modulation on the onset of convection in a horizontal, anisotropic porous layer saturated by a viscoelastic fluid is investigated by a linear stability analysis. Darcy’s law with viscoelastic correction is used to describe the fluid motion. The perturbation method is used to find the critical Rayleigh number and the corresponding wavenumber for small amplitude thermal modulation. The stability of the system characterized by a correction Rayleigh number is calculated as a function of the thermal and mechanical anisotropy parameters, the viscoelastic parameters and the frequency of modulation. It is found that the onset of convection can be delayed or advanced by the factors represented by these parameters. The results of the problem have possible implications in mantle convection. |
| doi_str_mv | 10.1007/s11242-005-4507-y |
| format | Article |
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The results of the problem have possible implications in mantle convection.</description><subject>Anisotropy</subject><subject>Convection</subject><subject>Earth sciences</subject><subject>Earth, ocean, space</subject><subject>Engineering and environment geology. Geothermics</subject><subject>Exact sciences and technology</subject><subject>Hydrocarbons</subject><subject>Hydrogeology</subject><subject>Hydrology. Hydrogeology</subject><subject>Mathematical analysis</subject><subject>Modulation</subject><subject>Parameters</subject><subject>Perturbation methods</subject><subject>Pollution, environment geology</subject><subject>Rayleigh number</subject><subject>Sedimentary rocks</subject><subject>Stability analysis</subject><subject>Viscoelastic fluids</subject><subject>Viscoelasticity</subject><subject>Viscosity</subject><subject>Wavelengths</subject><issn>0169-3913</issn><issn>1573-1634</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpFkFtLAzEQhYMoWKs_wLeA-BjNPdtHKd6g4Is-h2k2wS3bTU2yhf33prYgDByY-c7McBC6ZfSBUWoeM2NcckKpIlJRQ6YzNGPKCMK0kOdoRpleELFg4hJd5byhtLoaOUPhOQTvCo4Bl2-fttDjbWzHHkoXB1yrdqtk_4e4OOwrfRh1Awa877KLvodcOodDP3YtzlDGBMW3eBdTHDPuYfLpGl0E6LO_Oekcfb08fy7fyOrj9X35tCIguC5EtULXt7yg0nu3DiGsJaNr4URjqFPBU8cMLBgTugXeQCO4k03DjKGgGyfEHN0d9-5S_Bl9LnYTxzTUk5ZztRBSaUUrxY6USzHn5IPdpW4LabKM2kOc9hinrXHaQ5x2qp7702bIDvqQYHBd_jcarZTkRvwCOdh2Dg</recordid><startdate>2006</startdate><enddate>2006</enddate><creator>MALASHETTY, M. 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The stability of the system characterized by a correction Rayleigh number is calculated as a function of the thermal and mechanical anisotropy parameters, the viscoelastic parameters and the frequency of modulation. It is found that the onset of convection can be delayed or advanced by the factors represented by these parameters. The results of the problem have possible implications in mantle convection.</abstract><cop>Dordrecht</cop><pub>Springer</pub><doi>10.1007/s11242-005-4507-y</doi><tpages>25</tpages></addata></record> |
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| subjects | Anisotropy Convection Earth sciences Earth, ocean, space Engineering and environment geology. Geothermics Exact sciences and technology Hydrocarbons Hydrogeology Hydrology. Hydrogeology Mathematical analysis Modulation Parameters Perturbation methods Pollution, environment geology Rayleigh number Sedimentary rocks Stability analysis Viscoelastic fluids Viscoelasticity Viscosity Wavelengths |
| title | Effect of thermal modulation on the onset of convection in a viscoelastic fluid saturated porous layer |
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