The effect of mechanical and thermal anisotropy on the stability of gravity driven convection in rotating porous media in the presence of thermal non-equilibrium
We investigate Rayleigh–Benard convection in a porous layer subjected to gravitational and Coriolis body forces, when the fluid and solid phases are not in local thermodynamic equilibrium. The Darcy model (extended to include Coriolis effects and anisotropic permeability) is used to describe the flo...
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| Published in | Transport in porous media Vol. 69; no. 1; pp. 55 - 66 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer
01.08.2007
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0169-3913 1573-1634 |
| DOI | 10.1007/s11242-006-9063-6 |
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| Abstract | We investigate Rayleigh–Benard convection in a porous layer subjected to gravitational and Coriolis body forces, when the fluid and solid phases are not in local thermodynamic equilibrium. The Darcy model (extended to include Coriolis effects and anisotropic permeability) is used to describe the flow, whilst the two-equation model is used for the energy equation (for the solid and fluid phases separately). The linear stability theory is used to evaluate the critical Rayleigh number for the onset of convection and the effect of both thermal and mechanical anisotropy on the critical Rayleigh number is discussed. |
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| AbstractList | We investigate Rayleigh–Benard convection in a porous layer subjected to gravitational and Coriolis body forces, when the fluid and solid phases are not in local thermodynamic equilibrium. The Darcy model (extended to include Coriolis effects and anisotropic permeability) is used to describe the flow, whilst the two-equation model is used for the energy equation (for the solid and fluid phases separately). The linear stability theory is used to evaluate the critical Rayleigh number for the onset of convection and the effect of both thermal and mechanical anisotropy on the critical Rayleigh number is discussed. |
| Author | Govender, Saneshan Vadasz, Peter |
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| Cites_doi | 10.1016/S0017-9310(01)00331-3 10.1016/0017-9310(94)90281-X 10.1016/0017-9310(94)00313-K 10.1155/S1023621X98000074 10.1016/B978-008042843-7/50005-2 10.1115/1.2910734 10.1007/s11242-006-9003-5 10.1007/BF00616361 10.1115/1.2905949 10.1016/0735-1933(94)90041-8 10.1007/s11242-004-1801-z 10.1016/0017-9310(95)00258-8 10.1007/BF00616359 10.1007/BF00178124 10.1007/BF00238183 10.1007/978-1-4757-2175-1 10.1007/s11242-005-5479-7 10.1007/s11242-004-5130-z 10.1016/S0017-9310(97)00265-2 10.1017/S0022112098002961 |
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| Keywords | models anisotropy permeability fluid phase rotation thermodynamics transport Rayleigh number Thermal anisotropy convection Taylor number solid phase Mechanical anisotropy equilibrium porous media stability theory energy |
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| References | R. McKibbin (9063_CR9) 1986; 1 P. Vadasz (9063_CR14) 1993b; 115 J.F. Epherre (9063_CR4) 1975; 168 P. Vadasz (9063_CR12) 1992; 114 L. Storesletten (9063_CR11) 1993; 12 N. Banu (9063_CR2) 2002; 45 P. Vadasz (9063_CR20) 1998; 376 P. Vadasz (9063_CR23) 1998; 41 P. Vadasz (9063_CR13) 1993a; 12 9063_CR6 9063_CR7 P. Vadasz (9063_CR17) 1995; 38 P. Vadasz (9063_CR16) 1994b; 37 9063_CR5 P. Vadasz (9063_CR19) 1996b; 39 P. Vadasz (9063_CR24) 2005; 59 9063_CR3 S.M. Alex (9063_CR1) 2000; 252 P. Vadasz (9063_CR15) 1994a; 21 P. Vadasz (9063_CR21) 1998; 4 P. Vadasz (9063_CR22) 1998; 1 P. Vadasz (9063_CR18) 1996a; 23 9063_CR10 M.S. Malashetty (9063_CR8) 2005; 60 |
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| SubjectTerms | Anisotropy Coriolis effect Earth sciences Earth, ocean, space Engineering and environment geology. Geothermics Exact sciences and technology Hydrocarbons Hydrogeology Hydrology. Hydrogeology Local thermodynamic equilibrium Pollution, environment geology Porous media Rayleigh number Rayleigh-Benard convection Sedimentary rocks Solid phases Stability analysis |
| Title | The effect of mechanical and thermal anisotropy on the stability of gravity driven convection in rotating porous media in the presence of thermal non-equilibrium |
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