Stability of the Interface in a Porous Medium in the Framework of Darcy’s and Brinkman’s Approximations

[1]  E. Soboleva Instability Problems and Density-Driven Convection in Saturated Porous Media Linking to Hydrogeology: A Review , 2023, Fluids.

[2]  B. Straughan Nonlinear Stability for Thermal Convection in a Brinkman Porous Material with Viscous Dissipation , 2020, Transport in Porous Media.

[3]  D. Or,et al.  Water Table Depth and Soil Salinization: From Pore‐Scale Processes to Field‐Scale Responses , 2020, Water Resources Research.

[4]  G. Tsypkin Stability of the evaporation and condensation surfaces in a porous medium , 2017 .

[5]  Zafar Hayat Khan,et al.  Anomaly of spontaneous transition to instability of liquid-vapour front in a porous medium , 2015 .

[6]  V. Shargatov,et al.  Dynamics and stability of moving fronts of water evaporation in a porous medium , 2015 .

[7]  V. Shargatov,et al.  Dynamics of water evaporation fronts , 2013 .

[8]  Zafar Hayat Khan,et al.  Liquid-vapour fronts in porous media: multiplicity and stability of front positions , 2013 .

[9]  Rama Bhargava,et al.  Boundary and internal heat source effects on the onset of Darcy–Brinkman convection in a porous layer saturated by nanofluid , 2012 .

[10]  Sunil,et al.  Onset of Darcy–Brinkman double-diffusive convection in a magnetized ferrofluid layer using a thermal non-equilibrium model: a nonlinear stability analysis , 2010 .

[11]  G. Tsypkin,et al.  Catastrophic transition to instability of evaporation front in a porous medium , 2008 .

[12]  C. Richardson,et al.  Instability of the salinity profile during the evaporation of saline groundwater , 2008, Journal of Fluid Mechanics.

[13]  A. Noghrehabadi,et al.  Influence of Darcy number on the onset of convection in a porous layer with a uniform heat source , 2008 .

[14]  Brian Straughan,et al.  Convection in Porous Media , 2008 .

[15]  A. Il'ichev,et al.  Rayleigh-Taylor instability of an interface in a nonwettable porous medium , 2007 .

[16]  A. Il'ichev,et al.  Rigid transition to the Rayleigh-Taylor instability of interface in a porous medium , 2006 .

[17]  H. Tchelepi,et al.  Onset of convection in a gravitationally unstable diffusive boundary layer in porous media , 2005, Journal of Fluid Mechanics.

[18]  D. Rees The onset of Darcy–Brinkman convection in a porous layer: an asymptotic analysis , 2002 .

[19]  G. D. Rooij Modeling fingered flow of water in soils owing to wetting front instability : a review , 2000 .

[20]  Y. Yortsos,et al.  Stability of Heat Pipes in Vapor-Dominated Systems , 1999, Heat Transfer: Volume 2.

[21]  I. Pestov Stability of vapour–liquid counter flow in porous media , 1998, Journal of Fluid Mechanics.

[22]  Alexandre A. Radzig,et al.  Handbook of Physical Quantities , 1997 .

[23]  Stephen Whitaker,et al.  Momentum transfer at the boundary between a porous medium and a homogeneous fluid—II. Comparison with experiment , 1995 .

[24]  Stephen Whitaker,et al.  Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I. Theoretical development , 1995 .

[25]  Kenneth E. Torrance,et al.  Stability of boiling in porous media , 1990 .

[26]  G. Schubert,et al.  Gravitational stability of water over steam in vapor‐dominated geothermal systems , 1980 .

[27]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[28]  G. Taylor,et al.  The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[29]  P. Kiefer THE THERMODYNAMIC PROPERTIES OF WATER AND WATER VAPOR , 1941 .