An unified extended thermodynamic description of diffusion, thermodiffusion, suspensions and porous media

in Proceedings International Conference on thermal engineering theory and application, Beirut (Liban), 2004 (2004)

Thermoconvection dans les milieux poreux: stabilité et dynamique non-linéaire

Doctoral thesis (2003)

Analyse de stabilité linéaire d'un ferrofluide saturant un milieu poreux en rotation

in congrès français de mécanique (2003)

Thermal instability of a rotating saturated porous medium heated from below and submitted to rotation

in European Physical Journal B -- Condensed Matter (2002), 29(4), 641-647

In this work, we study the problem of onset of thermal convection in a rotating saturated porous medium heated from below. The effect of rotation is restricted to the Coriolis force, neglecting thus the ... [more ▼]

In this work, we study the problem of onset of thermal convection in a rotating saturated porous medium heated from below. The effect of rotation is restricted to the Coriolis force, neglecting thus the centrifugal effects, the porous medium is described by Brinkman's model. The linear eigenvalue problem is solved by means of a modified Galerkin method. The behavior of the critical temperature gradient is discussed in terms of various parameters of the system for both stationary and overstable convections. Finally a weakly nonlinear analysis is provided to derive amplitude equations and to study the onset of Kuppers-Lortz instability. [less ▲]

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

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

Amplitude equations for Rayleigh-Benard convective rolls far from threshold

in Physical Review E (2001), 64(6), 66301

An extension of the amplitude method is proposed. An iterative algorithm is developed to build an amplitude equation model that is shown to provide precise quantitative results even far from the linear ... [more ▼]

An extension of the amplitude method is proposed. An iterative algorithm is developed to build an amplitude equation model that is shown to provide precise quantitative results even far from the linear instability threshold. The method is applied to the study of stationary Rayleigh-Benard thermoconvective rolls in the nonlinear regime. In particular, the generation of second and third spatial harmonics is analyzed. Comparison with experimental results and direct numerical calculations is also made and a very good agreement is found. [less ▲]

Amplitude equations and thermoconvective rolls far from the threshold

in Proceedings of the 53rd annual meeting of the division of fluid dynamics of the American physical society (2000, November 01)

Amplitude equations are used to show that third order harmonics of a basic roll convective pattern can appear in the highly nonlinear régime of Rayleigh-Bénard thermoconvection. The phenomenon is induced ... [more ▼]

Amplitude equations are used to show that third order harmonics of a basic roll convective pattern can appear in the highly nonlinear régime of Rayleigh-Bénard thermoconvection. The phenomenon is induced by the nonlinear interaction of the roll pattern with its second order harmonics, which were first generated by the quadratic nonlinearity due to the convective terms of the time derivatives in the field equations. Good qualitative agreement with experimental data is obtained with only 4 amplitude equations. More precise quantitative results are deduced by increasing the number of amplitude equations. Comparison with purely numerical calculations is also 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)