Stability of gravity driven convection in a cylindrical porous layer subjected to vibration

被引:15
作者
Govender, S [1 ]
机构
[1] Univ Kwa Zulu Natal, Sch Mech Engn, ZA-4041 Durban, South Africa
基金
新加坡国家研究基金会;
关键词
vibration; free convection; Froude number; Vadasz number; cylindrical co-ordinates;
D O I
10.1007/s11242-005-1124-8
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The linear stability theory is used to investigate analytically the effects of gravity modulation on convection in a homogeneous cylindrical porous layer heated from below. The linear stability results show that increasing the frequency of vibration stabilizes the convection. In addition the aspect ratio of the porous cylinder is shown to influence the stability of convection for all frequencies analysed. It was also observed that only synchronous solutions are possible in cylindrical porous layers, with no transition to subharmonic solutions as was the case in Govender (2005a) [Transport Porous Media 59(2), 227-238] for rectangular layers or cavities.
引用
收藏
页码:489 / 502
页数:14
相关论文
共 21 条
[1]  
Alex SM, 2002, J POROUS MEDIA, V5, P137
[2]   Effect of a variable gravity field on convection in an anisotropic porous medium with internal heat source and inclined temperature gradient [J].
Alex, SM ;
Patil, PR .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2002, 124 (01) :144-150
[3]   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
[4]   Comments on the mean flow averaged model [J].
Bardan, G ;
Razi, YP ;
Mojtabi, A .
PHYSICS OF FLUIDS, 2004, 16 (12) :4535-4538
[5]  
Bejan A., 1995, Convection Heat Transfer, V2nd
[6]  
Chandrasekhar S., 1961, HYDRODYNAMIC HYDROMA
[7]  
Charrier-Mojtabi MC, 1998, TRANSPORT PHENOMENA IN POROUS MEDIA, P155, DOI 10.1016/B978-008042843-7/50007-6
[8]   Nonlinear dynamics of two-dimensional convection in a vertically stratified slot with and without gravity modulation [J].
Christov, CI ;
Homsy, GM .
JOURNAL OF FLUID MECHANICS, 2001, 430 :335-360
[9]   Weak non-linear analysis of convection in a gravity modulated porous layer [J].
Govender, S .
TRANSPORT IN POROUS MEDIA, 2005, 60 (01) :33-42
[10]   Stability analysis of a porous layer heated from below and subjected to low frequency vibration: Frozen time analysis [J].
Govender, S .
TRANSPORT IN POROUS MEDIA, 2005, 59 (02) :239-247