The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: Double diffusive case

Transport in Porous Media

Volumn 72, Issue 2, 2008, Pages 157-170

  Kuznetsov, A V ^a   Nield, D A ^b  

^a North Carolina State University   (United States)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Double diffusion; Heterogeneity; Horton Rogers Lapwood problem; Instability; Natural convection

Indexed keywords

ASPECT RATIO; DIFFUSION; PIECEWISE LINEAR TECHNIQUES; POROUS MATERIALS;

BRINKMAN MODEL; RAYLEIGH NUMBER;

NATURAL CONVECTION;

ASPECT RATIO; DIFFUSION; NATURAL CONVECTION; PIECEWISE LINEAR TECHNIQUES; POROUS MATERIALS;

CONVECTION; DOUBLE DIFFUSION; HETEROGENEITY; HYDRODYNAMICS; POROUS MEDIUM; RAYLEIGH NUMBER;

EID: 39549095100     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-007-9141-4     Document Type: Article

References (8)

1. Nield D.A. (1967). The thermohaline Rayleigh-Jeffreys problem. J. Fluid Mech. 29: 545-558
2. Nield, D.A., Bejan, A.: Convection in Porous Media, 3rd edn. Springer, New York, 2006, Section 6.13
3. Nield D.A. and Kuznetsov A.V. (2007). The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium. Int. J. Heat Mass Transfer 50: 3329-3339
4. Nield D.A. and Kuznetsov A.V. (2006). The onset of convection in a shallow box occupied by a heterogeneous porous medium with constant flux boundaries. Transp. Porous Media 67: 441-451
5. Nield, D.A., Kuznetsov, A.V.: The effects of combined horizontal and vertical heterogeneity on the onset of transient convection in a porous medium. J. Porous Media (2007c, to appear)
6. Nield D.A. and Simmons C.T. (2007). A discussion on the effect of heterogeneity on the onset of convection in a porous medium. Transp. Porous Media 68: 413-421
7. Prasad A. and 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: 1007
8. Simmons C.T., Fenstemaker T.R. and 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