The Onset of Convection in a Strongly Heterogeneous Porous Medium with Transient Temperature Profile

被引:11
作者
Kuznetsov, A. V. [1 ]
Nield, D. A. [2 ]
Simmons, Craig T. [3 ,4 ]
机构
[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA
[2] Univ Auckland, Dept Engn Sci, Auckland, New Zealand
[3] Flinders Univ S Australia, Sch Environm, Adelaide, SA 5001, Australia
[4] Flinders Univ S Australia, Natl Ctr Groundwater Res & Training, Adelaide, SA 5001, Australia
关键词
Heterogeneity; Transient heating; Thermal instability; Horizontal layer; SOLUTE TRANSPORT; GROUNDWATER-FLOW;
D O I
10.1007/s11242-010-9657-x
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The effect of heterogeneity of permeability, on the onset of convection in a horizontal layer of a saturated porous medium, uniformly heated from below but with a nonuniform basic temperature gradient resulting from transient heating, is studied analytically using linear stability theory for the case of strong heterogeneity. Two particular situations, corresponding to instantaneous bottom heating and constant-rate bottom heating, are studied. Estimates of the timescale for the development of convection instability are obtained. The case of a strongly nonlinear temperature gradient is studied with the help of a computer package.
引用
收藏
页码:851 / 865
页数:15
相关论文
共 15 条
[1]   Heat as a ground water tracer [J].
Anderson, MP .
GROUND WATER, 2005, 43 (06) :951-968
[2]  
Deutsch CV., 1992, Geostatistical Software Library and User's Guide, Vol 119
[3]   The Effect of Strong Heterogeneity on the Onset of Convection in a Porous Medium: Periodic and Localized Variation [J].
Kuznetsov, A. V. ;
Nield, D. A. ;
Simmons, Craig T. .
TRANSPORT IN POROUS MEDIA, 2010, 81 (01) :123-139
[4]  
Morton B.R., 1957, Quart. Journ. of Mech. and Appl. Math, V10, P433
[5]   A discussion on the effect of heterogeneity on the onset of convection in a porous medium [J].
Nield, D. A. ;
Simmons, Craig T. .
TRANSPORT IN POROUS MEDIA, 2007, 68 (03) :413-421
[6]   The Onset of Convection in a Heterogeneous Porous Medium with Transient Temperature Profile [J].
Nield, D. A. ;
Kuznetsov, A. V. .
TRANSPORT IN POROUS MEDIA, 2010, 85 (03) :691-702
[7]   The Effect of Strong Heterogeneity on the Onset of Convection in a Porous Medium: 2D/3D Localization and Spatially Correlated Random Permeability Fields [J].
Nield, D. A. ;
Kuznetsov, A. V. ;
Simmons, Craig T. .
TRANSPORT IN POROUS MEDIA, 2010, 83 (03) :465-477
[8]   The Effect of Strong Heterogeneity on the Onset of Convection in a Porous Medium [J].
Nield, D. A. ;
Kuznetsov, A. V. ;
Simmons, Craig T. .
TRANSPORT IN POROUS MEDIA, 2009, 77 (02) :169-186
[9]  
Nield DA, 2006, CONVECTION POROUS ME, V3
[10]   Unstable density-driven flow in heterogeneous porous media:: A stochastic study of the Elder [1967b] "short heater'' problem -: art. no. 1007 [J].
Prasad, A ;
Simmons, CT .
WATER RESOURCES RESEARCH, 2003, 39 (01)