References of "Dauby, Pierre"
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See detailInfluence of a nonlinear reference temperature profile on oscillatory Benard-Marangoni convection.
Dondlinger, M.; Colinet, P.; Dauby, Pierre ULg

in Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics (2003), 68(6 Pt 2), 066310

We analyze oscillatory instabilities in a fluid layer of infinite horizontal extent, heated from above or cooled from below, taking into account the nonlinearity of the reference temperature profile ... [more ▼]

We analyze oscillatory instabilities in a fluid layer of infinite horizontal extent, heated from above or cooled from below, taking into account the nonlinearity of the reference temperature profile during the transient state of heat conduction. The linear stability analysis shows that a nonlinear reference temperature profile can have a strong effect on the system, either stabilizing or destabilizing, depending on the relative importance of buoyancy and surface tension forces. For the nonlinear analysis we use a Galerkin-Eckhaus method leading to a finite set of amplitude equations. In the two-dimensional (2D) case, we show the solution of these amplitude equations are standing waves. [less ▲]

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See detailStability analysis of Bénard-Marangoni convection in the case of cooling from below
Dondlinger, Mireille; Dauby, Pierre ULg

in Proceedings du 6ème Congrès National de Mécanique théorique et appliquée (NCTAM-2003), Gent (Belgium), 26-27 may 2003 (2003)

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See detailConvection de Bénard-Marangoni en régime oscillant
Dondlinger, Mireille; Dauby, Pierre ULg

in Proceedings du 16ème Congrès français de mécanique, Nice, 1-5 septembre 2003 (2003)

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See detailApplication of the laser beam deflection to the study of temperature filed and heat transfer in natural convection,
Cerisier, P.; Sylvain, J. D.; Dauby, Pierre ULg

in Experiments in Fluids (2002), 33

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See detailGeneralized Fourier equations and thermoconvective instabilities
Dauby, Pierre ULg; Nelis, M.; Lebon, Georgy ULg

in Revista Mexicana De Fisica (2002), 48(Suppl. 1), 57-62

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See detailAmplitude equations for Rayleigh-Benard convective rolls far from threshold
Dauby, Pierre ULg; Desaive, Thomas ULg; Bragard, J. et al

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 ▲]

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See detailThe influence of gas depth on interfacial convection in a liquid gas bilayer.
Narayanan, Ranga; Theisen, Eric; Johnson, Duane et al

in Bulletin of the American Physical Society, Proceedings of the 54th Annual Meeting of the APS Division of Fluid Dynamics (2001, November 01)

We present a study of the influence of air height on the pattern formation at the onset of interfacial convection in a liquid -gas bilayer. Bilayer convection results from interaction of two immiscible ... [more ▼]

We present a study of the influence of air height on the pattern formation at the onset of interfacial convection in a liquid -gas bilayer. Bilayer convection results from interaction of two immiscible, superposed fluid layers and it is a transport problem that is affected by the ratios of various thermophysical properties and geometries. By using both calculations and experiments, a new convection-coupling mechanism is revealed. When the gas depth is low the convection is dominant in the liquid. It is of the Rayleigh Marangoni type and subcritical convection may be seen for axisymmetric patterns at the onset. For large gas heights the convection in the upper fluid layer simultaneously generates transverse thermal gradients along the fluid-fluid interface immediately causing surface tension gradient and buoyancy driven-convection in the lower fluid. The convection in the gas is of the Rayleigh type and the self-adjoint nature of the mathematical problem is depicted in the experiment wherein no subcritical motion occurs. In both the calculations and the experiment, silicone oil and air were used as the two fluids. As the viscosity of air is quite low compared to the silicone oil, convection in the air has no mechanical influence on the silicone oil and it is this property that is advantageous in isolating the new convection mechanism. The correspondence between theory and experiment is excellent. [less ▲]

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See detailApplication of the laser deflection to the study of temperature fields in two-dimensional flows
Cerisier, P.; Dauby, Pierre ULg

in Proceedings of the VI International science-technical conference, Optical methods of flows investigation (2001)

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See detailRole of interface deformations in Benard-Marangoni instability
Lebon, Georgy ULg; Dauby, Pierre ULg; Regnier, Vincent

in Acta Astronautica (2001), 48(5-12), 617-627

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See detailAmplitude equations and thermoconvective rolls far from the threshold
Dauby, Pierre ULg; Desaive, Thomas ULg

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 ▲]

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See detailLinear and nonlinear Rayleigh-Bénard-Marangoni instability with surface deformations
Regnier, Vincent; Dauby, Pierre ULg; Lebon, Georgy ULg

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 ▲]

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See detailSpecific topics on Bénard-Marangoni instabilities
Desaive, Thomas ULg; Dauby, Pierre ULg; Lebon, Georgy ULg et al

in Henry, Daniel; Bergeon, Alain (Eds.) Proceedings of the ERCOFTAC and EUROMECH Colloquium 383 on Continuation Methods in Fluid Dynamics (2000)

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See detailMécanique analytique (2ème partie)
Dauby, Pierre ULg

Learning material (2000)

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See detailTheoretical analysis of a dynamic thermoconvective pattern in a circular container
Dauby, Pierre ULg; Colinet, Pierre; Johnson, Duane

in Physical Review. E : Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics (2000), 61(3), 2663-2668

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See detailThe Effect of Air Height on the Pattern Formation in Liquid-Air Bilayer Convection
Johnson, Duane; Narayanan, Ranga; Dauby, Pierre ULg

in Shyy, W.; Narayanan, Ranga (Eds.) Fluid dynamics at interfaces (1999)

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See detailCapillary and Gravity-driven Instabilities in Finite Circular Containers
Dauby, Pierre ULg; Narayanan, Ranga; Johnson, D. et al

in Bulletin of the American Physical Society, Vol. 43, n°9 (1998, November)

When a horizontal fluid layer is heated from below, convection sets in provided the vertical temperature gradient exceeds a critical value. The motion is due to a combined effect of gravity and ... [more ▼]

When a horizontal fluid layer is heated from below, convection sets in provided the vertical temperature gradient exceeds a critical value. The motion is due to a combined effect of gravity and capillarity when the upper surface of the fluid is free. Convection usually takes the form of a regular pattern of convective cells, which are often hexagonal or roll-like in horizontally infinite layers. In confined geometries, the appearance of the instability phenomenon is greatly influenced by the presence of lateral walls which inhibit convection due to friction and which also determine the shape of the convective cells. In this work we present a theoretical and experimental analysis of the thermo-convective instability of a fluid layer contained in a circular container. The motion and the temperature perturbations in the air layer above the fluid are also taken into account. The convective threshold is determined as a function of the aspect ratio of the vessel and the convective stationary and oscillatory structures appearing in the non linear regime are also studied. Experimental results are presented and compared with the theoretical approach. [less ▲]

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See detailLinear Benard-Marangoni instability in rigid circular containers
Dauby, Pierre ULg; Lebon, Georgy ULg; Bouhy, E.

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

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See detailThermoconvective Instability in Circular Rigid Vessels
Dauby, Pierre ULg; Lebon, Georgy ULg; Colinet, P.

in Proceedings of the International Conference of Fluid and Thermal Energy Conversion ’97 (1997)

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See detailSquare cells in gravitational and capillary thermoconvection
Regnier, Vincent; Dauby, Pierre ULg; Parmentier, P. et al

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

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See detailRolls, Hexagons and Squares in Bénard-Marangoni Instability
Dauby, Pierre ULg; Regnier, V.; Parmentier, P. et al

in Mir, A.; Zrikem, Z. (Eds.) Proceedings of the International Thermal Energy and Environment Congress (ITEEC) 97 (1997)

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