Influence of vertical vibrations on the separation of a binary mixture in a horizontal porous layer heated from below

被引:24
作者
Elhajjar, Bilal [1 ]
Mojtabi, Abdelkader [1 ]
Charrier-Mojtab, Marie-Catherine [2 ]
机构
[1] Univ Toulouse 3, CNRS,UFR MIG, INP,UPS, IMFT,UMR 5502, F-31062 Toulouse, France
[2] Univ Toulouse 3, PHASE,EA810, UFR PCA, F-31062 Toulouse, France
关键词
Porous media; Binary mixture; Soret effect; Thermogravitation; Thermo vibration; Linear stability; CONVECTIVE INSTABILITY;
D O I
10.1016/j.ijheatmasstransfer.2008.05.033
中图分类号
O414.1 [热力学];
学科分类号
摘要
We study the influence of vertical high-frequency and small-amplitude vibrations on the separation of a binary mixture saturating a shallow horizontal porous layer heated from below. The monocellular flow obtained for a separation ratio psi > psi(mono) > 0 leads to a migration of the species towards the two vertical boundaries of the cell. The 2D direct numerical simulations and the linear stability analysis of the averaged governing equations show that the vertical vibrations delay the transition from monocellular flow to multicellular now. The vibrations also decrease the value of psi(mono), which allows species separation for a wide variety of binary Mixtures. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:165 / 172
页数:8
相关论文
共 19 条
[1]  
ALEXANDER JID, 1994, MICROGRAVITY SCI TEC, V7, P131
[2]   On the Horton-Rogers-Lapwood convective instability with vertical vibration: Onset of convection [J].
Bardan, G ;
Mojtabi, A .
PHYSICS OF FLUIDS, 2000, 12 (11) :2723-2731
[3]   Analytical and numerical stability analysis of Soret-driven convection in a horizontal porous layer [J].
Charrier-Mojtabi, M. C. ;
Elhajjar, B. ;
Mojtabi, A. .
PHYSICS OF FLUIDS, 2007, 19 (12)
[4]   New experiences of demixing of gas and isotrope separation. [J].
Clusius, K ;
Dickel, G .
NATURWISSENSCHAFTEN, 1938, 26 :546-546
[5]   NATURAL-CONVECTION IN A SHALLOW CAVITY WITH DIFFERENTIALLY HEATED END WALLS .1. ASYMPTOTIC THEORY [J].
CORMACK, DE ;
LEAL, LG ;
IMBERGER, J .
JOURNAL OF FLUID MECHANICS, 1974, 65 (AUG28) :209-229
[6]   Phenomenological theory of the thermo gravitational procedure of separation in a liquid [J].
De Groot, SR .
PHYSICA, 1942, 9 :801-816
[7]   Study of thermogravitation in a horizontal fluid layer [J].
Elhajjar, Bilal ;
Mojtabi, Abdelkader ;
Marcoux, Manuel ;
Charrier-Mojtabi, Marie-Catherine .
COMPTES RENDUS MECANIQUE, 2006, 334 (10) :621-627
[8]   On the theory of isotope separation by thermal diffusion [J].
Furry, WH ;
Jones, RC ;
Onsager, L .
PHYSICAL REVIEW, 1939, 55 (11) :1083-1095
[9]  
Gershuni G.Z., 1998, Thermal vibrational convection
[10]   On the vibrational convective instability of a horizontal, binary-mixture layer with Soret effect [J].
Gershuni, GZ ;
Kolesnikov, AK ;
Legros, JC ;
Myznikova, BI .
JOURNAL OF FLUID MECHANICS, 1997, 330 :251-269