A discussion on the effect of heterogeneity on the onset of convection in a porous medium

Transport in Porous Media

Volumn 68, Issue 3, 2007, Pages 413-421

  Nield, D A ^a   Simmons, Craig T ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b FLINDERS UNIVERSITY   (Australia)

Author keywords

Heterogeneity; Natural convection; Stability

Indexed keywords

APPROXIMATION THEORY; DENSITY (SPECIFIC GRAVITY); HEAT CONVECTION; MECHANICAL PERMEABILITY; NATURAL CONVECTION;

LOG-NORMAL DISTRIBUTION; VERTICAL DENSITY GRADIENT;

POROUS MATERIALS;

APPROXIMATION THEORY; DENSITY (SPECIFIC GRAVITY); HEAT CONVECTION; MECHANICAL PERMEABILITY; NATURAL CONVECTION; POROUS MATERIALS;

CONVECTION; HETEROGENEITY; PERMEABILITY; POROUS MEDIUM;

EID: 34250000573     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-006-9045-8     Document Type: Article

References (11)

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2. McKibbin R., O'Sullivan M.J. (1980) Onset of convection in a layered porous medium heated from below. J. Fluid Mech. 96, 375-393
3. McKibbin R., O'Sullivan M.J. (1981) Heat transfer in a layered porous medium heated from below. J. Fluid Mech. 111, 141-173
4. McKibbin R. (1986) Heat transfer in a vertically layered porous medium heated from below. Transport in Porous Media 1, 361-370
5. Nield D.A. (1987) Convective heat transfer in porous media with columnar structure. Transport in Porous Media 2, 177-185
6. Nield D.A. (1994) Estimation of an effective Rayleigh number for convection in a vertically inhomogeneous porous medium or clear fluid. Int. J. Heat Fluid Flow 15, 337-340
7. Nield, D.A., Bejan, A.: Convection in Porous Media. Springer, New York (1992, 1999, 2006)
8. Nield, D.A., Kuznetsov, A.V.: The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium. Int. J. Heat Mass Transfer, submitted (2006a)
9. Nield, D.A., Kuznetsov, A.V.: The onset of convection in a shallow box occupied by a heterogeneous porous medium with constant flux boundaries. Transport in Porous Media, to appear (2006b)
10. Prasad A., Simmons C.T. (2003) Unstable density-driven flow in heterogeneous porous media: A stochastic study of the Elder [1967b] "short heater" problem. Water Resour. Res. 39(1): 1007
11. Simmons C.T., Fenstemaker T.R., Sharp J.M. (2001) Variable-density flow and solute transport in heterogeneous porous media: Approaches, resolutions and future challenges. J. Contam. Hydrol. 52, 245-275