| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
Gravity-Driven Instability in a Liquid Film Overlying an Inhomogeneous Porous Layer |
| ZHAO Si-Cheng1, LIU Qiu-Sheng1**, NGUYEN-THI Henri2, BILLIA Bernard2
|
1Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190
2IM2NP, UMR CNRS 6137, Universitéd'Aix-Marseille III, 13397 Marseille Cedex 20, France
|
|
| Cite this article: |
|
ZHAO Si-Cheng, LIU Qiu-Sheng, NGUYEN-THI Henri et al 2011 Chin. Phys. Lett. 28 024702 |
|
|
|
|
Abstract A new model consisting of a liquid film overlying a saturated and inhomogeneous porous layer is investigated. We concentrate on effects of inhomogeneity on transition of instability modes. Influences of the averaged porosity and the gradient of porosity distribution on the instability behaviors of a liquid-porous layer system are emphasized. The average permeability of the porous layer is a key factor to determine the penetration of convection in the system.
|
| Keywords:
47.20.Dr
47.55.dm
47.56.+r
|
|
|
Received: 18 November 2010
Published: 30 January 2011
|
|
| PACS: |
47.20.Dr
|
(Surface-tension-driven instability)
|
| |
47.55.dm
|
(Thermocapillary effects)
|
| |
47.56.+r
|
(Flows through porous media)
|
|
|
|
|
|
[1] Bénard H 1900 Rev. Gen. Sci. Pur. Appl. 11 1261
[2] Rayleigh L 1916 Phil. Mag. 32(6) 529
[3] Pearson J R A 1958 J. Fluid Mech. 4 489
[4] Horton C W and Rogers G T 1945 J. Appl. Phys. 16 367
[5] Lapwood E R 1948 Proc. Camb. Philos. Soc. 44 508
[6] Hennenberg M, Saghir M Z, Rednikov A and Legros J C 1997 Transport in Porous Media 27 327
[7] Nield D A and Bejan A 1998 Convection in Porous Media 2nd edn (New York: Springer)
[8] Brinkman H C 1947 Appl. Sci. Res. A 1 27
[9] Chen F and Chen C F 1988 J. Heat Transfer 110 403
[10] Beavers G S and Joseph D D 1967 J. Fluid Mech. 20 197
[11] Straughan B 2001 J. Comput. Phys. 170 320
[12] Desaive T and Lebon G 2001 Phys. Rev. E 64 066304
[13] Worster M G 1991 J. Fluid Mech. 224 335
[14] Zhao S C, Liu R and Liu Q S 2008 Chin. Phys. Lett. 25 620
[15] Zhao S C, Liu Q S, Liu R, Nguyen-Thi H and Billia B 2010 Int. J. Heat Mass Tran. 53 2951
[16] Colinet P, Legros J C and Velarde M G 2001 Nonlinear Dynamics of Surface-Tension-Driven Instabilities (Berlin: Wiley-VCH)
[17] Chen F and Chen C F 1992 J. Fluid Mech. 234 97
[18] Combarnous M A and Bories S A 1975 Adv. Hydrosci. 10 231
[19] Orszag S A 1971 J. Fluid Mech. 50 689
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
