| Original Articles |
|
|
|
|
Thermocapillary Convection in an Inhomogeneous Porous Layer |
| ZHAO Si-Cheng;LIU Rong;LIU Qiu-Sheng |
| Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080 |
|
| Cite this article: |
|
ZHAO Si-Cheng, LIU Rong, LIU Qiu-Sheng 2008 Chin. Phys. Lett. 25 620-623 |
|
|
|
|
Abstract A new model consisting of an inhomogeneous porous medium saturated by incompressible fluid is investigated. We focus on the effects of inhomogeneity for the streamline patterns and instabilities of the system. Influences of the `mean porosity' and gradient of distributions of porosity are also emphasized. The results cannot be obtained by studying the media with constant porosity as carried out by other researchers, and have not been discussed before.
|
| Keywords:
47.55.Mh
47.27.Te
47.20.Dr
|
|
|
Received: 15 August 2007
Published: 30 January 2008
|
|
|
|
|
|
|
|
[1] Nield D A 1964 J. Fluid Mech. 9 341
[2] B\'{enard H 1900 Rev. Gen. Sci. Pures Appl. 11 1261
[3] Rayleigh L 1916 Phil. Mag. 32(6) 529
[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] Pearson J R A 1958 J. Fluid Mech. 4 489
[7] Hennenberg M, Saghir M Z, Rednikov A and Legros J C 1997 Transport in Porous Media 27 327
[8] Brinkman H C 1947 Appl. Sci. Res., Sect. A 1 27
[9] Nield D A 1976 J. Fluid Mech. 81(3) 513
[10] Chen F and Chen C F 1988 J. Heat Transfer 110 403
[11] Desaive Th and Lebon G 2001 Physical Review E 64 066304
[12] Straughan B 2001 J. Computational Physics 170 320
[13] Saghir M Z, Mahendran P and Hennenberg M 2005 EnergySources 27 151
[14] Nield D A 1994 Int. J. Heat and Fluid Flow 15(4) 1994
[15] Nield D A et al 1998 Convection in Porous Media 2ndedn (New York: Springer)
[16] Colinet P, Legros J C and Velarde M G 2001 NonlinearDynamics of Surface-Tension-Driven Instabilities. (Berlin:Wiley-VCHVerlag Berlin GmbH \nolinebreak)
[17] Combarnous M A and Bories S A 1975 Adv. Hydrosci. 10 231
[18] Chen F and Chen C F 1989 J. Fluid Mech. 207 311
[19] Orzag S A 1971 J. Fluid Mech. 50 689
[20] Liu Q S et al 2004 Chin. Phys. Lett. 21 686
[21] Liu R et al 2006 Chin. Phys. Lett. 23 879 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
