Penetrative convection in anisotropic porous media with variable permeability

Acta Mechanica

Volumn 216, Issue 1-4, 2011, Pages 49-58

  Capone, F ^a   Gentile, M ^a   Hill, A A ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC PERMEABILITY; ANISOTROPIC POROUS MEDIA; ANISOTROPIC POROUS MEDIUM; VARIABLE PERMEABILITY;

ANISOTROPY; POROUS MATERIALS;

ANISOTROPIC MEDIA;

EID: 79751537166     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-010-0353-2     Document Type: Article

References (24)

1. Adams R.A.: Sobolev Spaces. Pure and Applied Mathematics, vol. 65. Academic Press, New York (1975)
2. F. Capone M. Gentile A.A. Hill 2008 Penetrative convection in a fluid layer with throughflow Ricerche mat. 57 251 260 10.1007/s11587-008-0035-8 2471105
3. F. Capone M. Gentile A.A. Hill 2009 Anisotropy and symmetry in porous media convection Acta Mech. 208 205 214 1184.76663 10.1007/s00707-008-0135-2
4. Capone, F.; Gentile, M.; Hill, A.A.: The influence of variable permeability and thermal diffusivity on the onset of penetrative convection in porous media. In: Greco, A.M.; Rionero, S.; Ruggeri, T. (eds.) Proceedings WASCOM 2009, 15th Conference on Waves and Stabiliy in Continuous Media, pp. 63-57. World Scientific Publishing Co. Pte. Ltd. (2009) ISBN: 13 978-981-4317-41-2
5. F. Capone S. Rionero 1999 Temperature dependent viscosity and its influence on the onset of convection in porous medium Rend. Acc. sc. fis. mat. Napoli LXVI 159 172 1771535
6. M. Carr S. de Putter 2003 Penetrative convection in a horizontally isotropic porous layer Continuum Mech. Thermodyn. 15 33 43 1032.76020 10.1007/s00161-002-0102-4 (Pubitemid 36742641)
7. G. Castinel M. Combarnous 1974 Critère d'apparition de la convection naturelle dans une couche poreuse anisotrope horizontale C.R. Acad. Sci. Ser. B 287 701 704
8. J.J. Dongarra B. Straughan D.W. Walker 1996 Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems App. Num. Math. 22 399 434 0867.76025 10.1016/S0168-9274(96)00049-9 1426179 (Pubitemid 126375600)
9. J.F. Epherre 1975 Critère d'apparition de la convection naturelle dans une couche poreuse anisotrope Rev. Thermique 168 949 950
10. Flavin J.N.; Rionero S.: Qualitative estimates for partial differential equations: an introduction. CRC Press, Boca Raton, Florida (1996)
11. J.H. George R.D. Gunn B. Straughan 1989 Patterned ground formation and penetrative convection in porous media Geophys. Astrophys. Fluid Dyn. 46 135 158 0675.76098 10.1080/03091928908208908
12. T. Green R.L. Freehill 1969 Marginal stability in inhomogeneous porous media J. Appl. Phys. 40 1759 1762 10.1063/1.1657844
13. O. Kvernold A. Tyvand 1979 Nonlinear thermal convection in anisotropic porous media J. Fluid Mech. 90 609 624 10.1017/S0022112079002445
14. R. McKibbin A. Tyvand 1982 Anisotropic modelling of thermal convection in multilayered porous media J. Fluid Mech. 118 315 339 0483.76094 10.1017/S0022112082001104 (Pubitemid 12525870)
15. Nield D.A.; Bejan A.: Convection in Porous Media. Springer Verlag, New York (2006)
16. Y. Qin P.N. Kaloni 1994 Convective instabilities in anisotropic porous media Stud. Appl. Math. 91 189 204 0792.76027 1274241
17. L.E. Payne B. Straughan 1987 Unconditional nonlinear stability in penetrative convection Geophys. Astrophys. Fluid Dyn. 39 57 63 0709.76048 10.1080/03091928708208805 907972
18. L.E. Payne B. Straughan 1998 Structural stability for the Darcy equations of flow in porous media Proc. R. Soc. London A. 454 1691 1698 0912.76088 10.1098/rspa.1998.0227 1631980 (Pubitemid 128734681)
19. L. Storesletten 1993 Natural convection in a horizontal porous layer with anisotropic thermal diffusivity Transp. Porous Media 12 19 29 10.1007/BF00616359
20. L. Storesletten A. Tyvand 1991 Onset of convection in an anisotropic porous medium with oblique principal axes J. Fluid Mech. 226 371 382 0718.76100 10.1017/S0022112091002422 (Pubitemid 21651649)
21. Straughan B.: The Energy Method, Stability, and Nonlinear Convection. Applied Mathematical Sciences, vol. 91, 2nd edn. Springer-Verlag, New York (2004)
22. Straughan B.: Stability and wave motion in porous media. Applied Mathematical Sciences, vol. 165. Springer, New York (2008)
23. B. Straughan D. Walker 1996 Anisotropic porous penetrative convection Proc. Roy. Soc. Lond. A 452 97 115 0868.76033 10.1098/rspa.1996.0006
24. G. Veronis 1963 Penetrative convection Astrophys. J. 137 641 663 0123.46103 10.1086/147538