The effect of rotation on the onset of convection in a horizontal anisotropic porous layer
The effect of rotation and anisotropy on the onset of convection in a horizontal porous layer is investigated using a linear theory and a weak nonlinear theory. The linear theory is based on the usual normal mode technique and the nonlinear theory on the truncated Fourier series analysis. Darcy mode...
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| Veröffentlicht in: | International journal of thermal sciences 2007-10, Vol.46 (10), p.1023-1032 |
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| container_title | International journal of thermal sciences |
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| creator | Malashetty, M.S. Swamy, Mahantesh |
| description | The effect of rotation and anisotropy on the onset of convection in a horizontal porous layer is investigated using a linear theory and a weak nonlinear theory. The linear theory is based on the usual normal mode technique and the nonlinear theory on the truncated Fourier series analysis. Darcy model extended to include time derivative and Coriolis terms with anisotropic permeability is used to describe the flow through porous media. A modified energy equation including the thermal anisotropy is used. The effect of rotation, mechanical and thermal anisotropy parameters and the Prandtl number on the stationary and overstable convection is discussed. It is found that the effect of mechanical anisotropy is to allow the onset of oscillatory convection instead of stationary. It is also found that the existence of overstable motions in case of rotating porous medium is not restricted to a particular range of Prandtl number as compared to the pure viscous fluid case. The steady finite amplitude analysis is performed using truncated Fourier series to find the Nusselt number. The effect of various parameters on heat transfer is investigated. |
| doi_str_mv | 10.1016/j.ijthermalsci.2006.12.007 |
| format | Article |
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The linear theory is based on the usual normal mode technique and the nonlinear theory on the truncated Fourier series analysis. Darcy model extended to include time derivative and Coriolis terms with anisotropic permeability is used to describe the flow through porous media. A modified energy equation including the thermal anisotropy is used. The effect of rotation, mechanical and thermal anisotropy parameters and the Prandtl number on the stationary and overstable convection is discussed. It is found that the effect of mechanical anisotropy is to allow the onset of oscillatory convection instead of stationary. It is also found that the existence of overstable motions in case of rotating porous medium is not restricted to a particular range of Prandtl number as compared to the pure viscous fluid case. The steady finite amplitude analysis is performed using truncated Fourier series to find the Nusselt number. 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The effect of various parameters on heat transfer is investigated.</description><subject>Anisotropy</subject><subject>Buoyancy-driven instability</subject><subject>Convection and heat transfer</subject><subject>Exact sciences and technology</subject><subject>Flows through porous media</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Hydrodynamic stability</subject><subject>Nonhomogeneous flows</subject><subject>Physics</subject><subject>Porous medium</subject><subject>Rotation</subject><subject>Thermal convection</subject><subject>Turbulent flows, convection, and heat transfer</subject><issn>1290-0729</issn><issn>1778-4166</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNqNkE9LxDAQxYsouK5-hyDorXWm26aNN1n_woKX9eIlpOmUTek2Neku6Kc36y7oUQhMYH7z5s2LokuEBAH5TZuYdlyRW6vOa5OkADzBNAEojqIJFkUZZ8j5cfinAmIoUnEanXnfQiAEiEn0vlwRo6YhPTLbMGdHNRrbs_CCbiiefhra9tvA7FqmZ4qtrDNfth9Vx1RvvB2dHYxmg3V241mnPsmdRydNsEUXhzqN3h4flvPnePH69DK_W8R6VuZjnNUFEk-zDHWFIuM5ZqAARFUpojxFqjTPFTa6rrAuuW7SUvCSSANUvOTFbBpd73UHZz825Ee5Nl5T16meghk5AyhR5FkAb_egdtZ7R40cnFkr9ykR5C5O2cq_ccpdnBJTGcIKw1eHLcpr1TVO9dr4X4VgSiBA4O73HIWTt4acDErUa6qNCwHK2pr_rPsGTdaToQ</recordid><startdate>20071001</startdate><enddate>20071001</enddate><creator>Malashetty, M.S.</creator><creator>Swamy, Mahantesh</creator><general>Elsevier Masson SAS</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>20071001</creationdate><title>The effect of rotation on the onset of convection in a horizontal anisotropic porous layer</title><author>Malashetty, M.S. ; Swamy, Mahantesh</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c385t-4d71e62441cb19465140a009bbaee521ebc65a1fcdb1d86cf28968eec00b68673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Anisotropy</topic><topic>Buoyancy-driven instability</topic><topic>Convection and heat transfer</topic><topic>Exact sciences and technology</topic><topic>Flows through porous media</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Hydrodynamic stability</topic><topic>Nonhomogeneous flows</topic><topic>Physics</topic><topic>Porous medium</topic><topic>Rotation</topic><topic>Thermal convection</topic><topic>Turbulent flows, convection, and heat transfer</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Malashetty, M.S.</creatorcontrib><creatorcontrib>Swamy, Mahantesh</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>International journal of thermal sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Malashetty, M.S.</au><au>Swamy, Mahantesh</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The effect of rotation on the onset of convection in a horizontal anisotropic porous layer</atitle><jtitle>International journal of thermal sciences</jtitle><date>2007-10-01</date><risdate>2007</risdate><volume>46</volume><issue>10</issue><spage>1023</spage><epage>1032</epage><pages>1023-1032</pages><issn>1290-0729</issn><eissn>1778-4166</eissn><abstract>The effect of rotation and anisotropy on the onset of convection in a horizontal porous layer is investigated using a linear theory and a weak nonlinear theory. The linear theory is based on the usual normal mode technique and the nonlinear theory on the truncated Fourier series analysis. Darcy model extended to include time derivative and Coriolis terms with anisotropic permeability is used to describe the flow through porous media. A modified energy equation including the thermal anisotropy is used. The effect of rotation, mechanical and thermal anisotropy parameters and the Prandtl number on the stationary and overstable convection is discussed. It is found that the effect of mechanical anisotropy is to allow the onset of oscillatory convection instead of stationary. It is also found that the existence of overstable motions in case of rotating porous medium is not restricted to a particular range of Prandtl number as compared to the pure viscous fluid case. The steady finite amplitude analysis is performed using truncated Fourier series to find the Nusselt number. 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| identifier | ISSN: 1290-0729 |
| ispartof | International journal of thermal sciences, 2007-10, Vol.46 (10), p.1023-1032 |
| issn | 1290-0729 1778-4166 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Anisotropy Buoyancy-driven instability Convection and heat transfer Exact sciences and technology Flows through porous media Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamic stability Nonhomogeneous flows Physics Porous medium Rotation Thermal convection Turbulent flows, convection, and heat transfer |
| title | The effect of rotation on the onset of convection in a horizontal anisotropic porous layer |
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