This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Caltagirone J-P (1980) Stability of a saturated porous layer subject to a sudden rise in surface temperature: comparison between the linear and energy methods. Quart J Mech Appl Math 33:47–58}.
Elder JW (1967) Transient convection in a porous medium. J Fluid Mech 27:609–623.
Elder JW (1968) The unstable thermal interface. J Fluid Mech 32:69–96}.
Ennis-King JP, Paterson L (2005) Role of convective mixing in the long-term storage of carbon dioxide in deep saline formations. SPE J 10(3):349–356}.
Ennis-King JP, Paterson L (2007) Coupling of geochemical reactions and convective mixing in the long-term geological storage of carbon dioxide. Int J Greenhouse Gas Control 1:86–93.
Ennis-King JP, Preston I, Paterson L (2005) Onset of convection in anisotropic porous media subject to a rapid change in boundary conditions. Phys Fluids 17:084107.1–084107.15.
Green T (1990) The momentary instability of a saturated porous layer with a time-dependent temperature distribution, and the most unstable disturbance. Water Resour Res 26:2015–2021.
Hassanzadeh H, Pooladi-Darvish M, Keith DW (2006) Stability of a fluid in a horizontal saturated porous layer: effect of non-linear concentration profile, initial, and boundary conditions. Transp Porous Med 65:193–211.
Horton CW, Rogers RT (1945) Convection currents in a porous medium. J Appl Phys 16:367–370.
Horton CW, Rogers RT (1945) Convection currents in a porous medium. J Appl Phys 16:367–370.
Kim MC, Kim S (2005) Onset of convective instability in a fluid-saturated porous layer subjected to time-dependent heating. Int J Heat Mass Transfer 32:416–424}.
Kim MC, Kim S, Choi CK (2002) Convective instability in fluid-saturated porous layer under uniform volumetric heat sources. Int Comm Heat Mass Transfer 29:919–928}.
Kim MC, Kim S, Chung BJ, Choi CK (2003) Convective instability in a horizontal porous layer saturated with oil and a layer of gas underlying it. Int Comm Heat Mass Transfer 30:225–234.
Lapwood ER (1948) Convection of a fluid in a porous medium. Proc Camb Phil Soc 44:508–521.
Nouri-Borujerdi A, Noghrehabadi AR, Rees DAS (2007) The linear stability of a developing thermal front in a porous medium: the effect of local thermal nonequilibrium. Int J Heat Mass Transfer 50:3090–3099.
Rees DAS, Bassom AP (1993) The nonlinear nonparallel wave instability of free convection induced by a horizontal heated surface in fluid-saturated porous media. J Fluid Mech 253:267–296.
Riaz A, Hesse M, Tchelepi HA, Orr FM (2006) Onset of convection in a gravitationally unstable diffusive boundary layer in porous media. J Fluid Mech 548:87–111}.
Selim A, Rees DAS (2007a) The stability of a developing thermal front in a porous medium. J Porous Med. 10:1–15.
Selim A, Rees DAS (2007b) The stability of a developing thermal front in a porous medium. II. Nonlinear theory. J Porous Med 11:17–23.
Selim A, Rees DAS (2008) The stability of a developing thermal front in a porous medium. III. Secondary instabilities. (In preparation).
Tan K-K, Sam T, Jamaludin H (2003) The onset of transient convection in bottom heated porous media. Int J Heat Mass Transfer 46:2857–2873}.
Wooding RA, Tyler SW, White I (1997) Convection in groundwater below an evaporating salt lake. I. Onset of instability. Water Resour Res 33:1199–1218}.
Xu X, Chen S, Zhang D (2006) Convective stability analysis of the long-term storage of carbon dioxide in deep saline aquifers. Adv Water Resources 29:397–407.
Yoon DY, Choi CK (1989) Thermal convection in a saturated porous medium subjected to isothermal heating. Korean J Chem Eng 6:144–149.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media B.V
About this chapter
Cite this chapter
Rees, D., Selim, A., Ennis-King, J. (2008). The Instability of Unsteady Boundary Layers in Porous Media. In: Vadász, P. (eds) Emerging Topics in Heat and Mass Transfer in Porous Media. Theory and Applications of Transport in Porous Media, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8178-1_4
Download citation
DOI: https://doi.org/10.1007/978-1-4020-8178-1_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-8177-4
Online ISBN: 978-1-4020-8178-1
eBook Packages: EngineeringEngineering (R0)