Linear and nonlinear thermal instability of a rotating saturated porous medium heated from below

in 1st international conference on applications of porous media (2002)

Coupled capillary and gravity-driven instability in a liquid film overlying a porous layer

in Physical Review E (2001), 64(6, Pt 2), 66304

In this work, we study the problem of onset of thermal convection in a fluid layer overlying a porous layer, the whole system being heated from below. We use Brinkman's model to describe the porous medium ... [more ▼]

In this work, we study the problem of onset of thermal convection in a fluid layer overlying a porous layer, the whole system being heated from below. We use Brinkman's model to describe the porous medium and determine the corresponding linear stability equations. The eigenvalue problem is solved by means of a modified Galerkin method. The behavior of the critical wave number and temperature gradient is discussed in terms of the various parameters of the system. We also emphasize the influence of the boundary conditions at the upper surface of the fluid layer; in particular, we examine the role of a free surface whose surface tension is temperature dependent (Marangoni effect). Comparison with earlier works is also made. [less ▲]

Linear and nonlinear Rayleigh-Bénard-Marangoni instability with surface deformations

in Physics of Fluids (2000), 12

Thermoconvective instabilities in a bilayer liquid-gas system with a deformed interface are investigated. In the first part of the work which is devoted to a linear approach, emphasis is put on the role ... [more ▼]

Thermoconvective instabilities in a bilayer liquid-gas system with a deformed interface are investigated. In the first part of the work which is devoted to a linear approach, emphasis is put on the role of the upper gas layer on the instability phenomenon. The condition to be satisfied by the gas to remain purely conductive is established. The so-called Oberbeck-Boussinesq approximation is discussed and its range of validity is carefully defined. Instead of the classical Rayleigh, Marangoni, crispation, and Galileo numbers, new dimensionless groups are introduced. A critical comparison with several previous works is made. The nonlinear analysis consists in studying the different convective patterns which can appear above the threshold. Particular attention is devoted to the shape of the interface and the so-called ``hybrid'' relief. The amplitude of the deformation is also determined and comparison with experimental data is discussed. [less ▲]

Coupled capillary and gravity-driven instabilities in a bilayer porous liquid system

in 52nd annual meeting of the division of fluid dynamics of the American physical society (1999)

Linear Benard-Marangoni instability in rigid circular containers

in Physical Review. E : Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics (1997), 56(1), 520-530

Square cells in gravitational and capillary thermoconvection

in Physical Review. E : Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics (1997), 55(6), 6860-6865

Benard-Marangoni instability in rigid rectangular containers

in Journal of Fluid Mechanics (1996), 329

Not Available

Influence of surface deformability on weakly nonlinear Marangoni instability

in Viviani, A. (Ed.) Proceedings of the Second European Symposium. Fluids in Space, Napoli, April 22-26, 1996 (1996)

BENARD-MARANGONI INSTABILITY IN A VISCOELASTIC JEFFREYS FLUID LAYER

in Rheologica Acta (1994), 33(4), 257-266

On Kinetic Theory Justifications of Extended Irreversible Thermodynamics

in Shizgal, B. D.; Weaver, D. P. (Eds.) Rarefied Gaz Dynamics : Experimental Techniques and Physical Systems (1994)