Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect

The nonlinear development of oscillatory instability under the joint action of buoyant and thermocapillary effects in a multilayer system, is investigated. The nonlinear convective regimes are studied by the finite difference method. The rigid heat-insulated lateral walls, are considered. Transitions between the motions with different spatial structures are investigated. Specific types of flows, symmetric and asymmetric oscillations, have been found. It is shown that the oscillatory motion takes place in an interval of the Grashof number values bounded both from below-by the mechanical equilibrium, and from above-by the steady state.

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Section: Introductionmentioning

confidence: 91%

Symmetric and Asymmetric Convective Oscillations in a Multilayer System

Simanovskii

Viviani

Dubois

et al. 2010

Microgravity Sci. Technol.

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“…This phenomenon was first discovered in the case of a two-layer system (Nepomnyashchy and Simanovskii 1984;Simanovskii and Nepomnyashchy 1993;Juel et al 2000). A similar phenomenon under the joint action of both mechanisms of instability in the multilayer system, has been studied for free heat-insulated lateral walls in Nepomnyashchy et al (2005) and in the case of periodic boundary conditions on lateral boundaries in Simanovskii et al (2009), Simanovskii (2009. Specifically, in Simanovskii et al (2009), Simanovskii (2009 it was found that the competition of both mechanisms of instability could lead to the development of nonlinear buoyant-thermocapillary traveling waves and modulated traveling waves.…”

Section: Introductionmentioning

confidence: 91%

The Influence of the Horizontal Component of the Temperature Gradient on Nonlinear Oscillatory Convective Regimes in Multilayer System

Simanovskii

Viviani²,

Dubois

et al. 2011

Microgravity Sci. Technol.

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The influence of the horizontal component of the temperature gradient on nonlinear regimes of oscillatory convection developed under the joint action of buoyant and thermocapillary effects in a multilayer system, is investigated. The nonlinear two-dimensional convective regimes are studied by the finite difference method. The interfaces are assumed to be nondeforming. The rigid heat-insulated lateral walls are considered. Transitions between different oscillatory and steady flow regimes have been studied. Specifically, it is shown that the horizontal component of the temperature gradient leads to the violation of the symmetry conditions and the appearance of the asymmetric oscillatory flows. The cavities with different lengths have been considered.

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“…15,26,27 A similar phenomenon under the joint action of both mechanisms of instability in the multilayer system has been studied for free heat-insulated lateral walls in Ref. 28 and in the case of periodic boundary conditions on lateral boundaries in Refs. 29 and 30.…”

Section: Introductionmentioning

confidence: 94%

Nonlinear development of oscillatory instability in a three-layer system under the joint action of buoyancy and thermocapillary effect

Simanovskii

Viviani²,

Dubois

et al. 2011

Physics of Fluids

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The nonlinear development of oscillatory instability under the joint action of buoyant and thermocapillary effects in multilayer system is investigated. The nonlinear convective regimes are studied by the finite difference method. The calculations have been performed for two-dimensional flows. The interfaces are assumed to be nondeforming. Rigid heat-insulated lateral walls are considered. Transitions between the flows with different spatial structures are studied. Specific types of nonlinear flows-symmetric and asymmetric oscillations-have been found. It is shown that the oscillatory flow takes place in an interval of Grashof number values bounded both from below by the quiescent mechanical equilibrium, and from above by a convecting steady state. Cavities with different lengths are considered.

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Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect

Cited by 12 publications

References 31 publications

Symmetric and Asymmetric Convective Oscillations in a Multilayer System

Symmetric and Asymmetric Convective Oscillations in a Multilayer System

The Influence of the Horizontal Component of the Temperature Gradient on Nonlinear Oscillatory Convective Regimes in Multilayer System

Nonlinear development of oscillatory instability in a three-layer system under the joint action of buoyancy and thermocapillary effect

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