References of "Dauby, Pierre"
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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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See detailBenard-Marangoni instability in rigid rectangular containers
Dauby, Pierre ULg; Lebon, Georgy ULg

in Journal of Fluid Mechanics (1996), 329

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See detailNonlinear Marangoni Instability in 3D Rigid Boxes
Dauby, Pierre ULg; Lebon, Georgy ULg; Colinet, P.

in Greco, A. M.; Rionero, S. (Eds.) Supplemento ai rendiconti del Circolo matematico di Palermo « The Proceedings of the VIII International Conference on Waves and Stability in continuous Media, Palermo, Italy, oct. 9-14, 1995 », SERIE II – NUMERO 45– ANNO 1996, Palermo, Via Archirafi 34, Italy (1996)

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See detailInfluence of surface deformability on weakly nonlinear Marangoni instability
Slavtchev, S. G.; Dauby, Pierre ULg; Lebon, Georgy ULg et al

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

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See detailFinite-amplitude regimes of the short-wave Marangoni-Benard convective instability.
Colinet, Pierre; Legros, Jean-Claude; Kamotani, Y. et al

in Physical Review. E : Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics (1995), 52(3), 2603-2616

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See detailBénard-Marangoni instability in a viscoelastic Jeffreys' fluid layer
Lebon, Georgy ULg; Parmentier, Patrice; Teller, O. et al

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

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See detailThermocapillary and Thermogravitational instabilities in rigid rectangular boxes
Dauby, Pierre ULg; Lebon, Georgy ULg

in Rionero, S.; Ruggeri, T. (Eds.) Proceedings of the VII International Conference on Waves and Stability in Continuous Media, Bologna (Italy), october 4-9, 1993 (1994)

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See detailOn Kinetic Theory Justifications of Extended Irreversible Thermodynamics
Lebon, Georgy ULg; Dauby, Pierre ULg; Grmela, M.

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

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