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    Nonlinear convective flows in a two-layer system under the action of spatial temperature modulation of heat release/consumption at the interface

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    An influence of a spatial temperature modulation of the interfacial heat release/consumption on nonlinear convective flows in the 47v2 silicone oil - water system, is studied. Rigid heat-insulated lateral walls, corresponding to the case of closed cavities, have been considered. Transitions between the flows with different spatial structures, have been investigated. It is shown that the spatial modulation can change the sequence of bifurcations and lead to the appearance of specific steady and oscillatory flows in the system

    Nonlinear dynamics of two-layer systems with a temperature-dependent heat release

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    Nonlinear convective flows developed under the joint action of buoyant and thermocapillary effects in a two-layer system with rigid heat-insulated lateral walls, have been investigated. The influence of a temperature-dependent interfacial heat release/consumption on oscillatory regimes under the action of an inclined temperature gradient, has been studied. It is shown that sufficiently strong temperature dependence of interfacial heat sources and heat sinks can lead to the change of the sequence of bifurcations and the development of new nonlinear regimes. Specifically, the period doubling bifurcations have been obtained. (C) 2017 Elsevier Masson SAS. All rights reserved

    Nonlinear dynamics of a two-layer system under the action of spatial temperature modulation of an interfacial heat release

    No full text
    An influence of a spatial temperature modulation of the heat release/consumption at the interface on nonlinear convective flows in the 47v2 silicone oil-water system, has been investigated. Periodic boundary conditions on the lateral walls, corresponding to an infinite two-layer system, have been considered. Transitions between the flows with different spatial structures, have been studied. It is shown that the spatial modulation can change the sequence of bifurcations and lead to the appearance of new oscillatory regimes. Specifically, pulsating traveling waves changing the direction of propagation, as well as regimes corresponding to period doubling, period-four and period-eight bifurcations, have been obtained. (C) 2019 Elsevier Masson SAS. All rights reserved

    Convective flows in a two-layer system with an interfacial heat release under the action of an imposed temperature gradient

    No full text
    The influence of an interfacial heat release on nonlinear convective regimes, developed under the action of an imposed temperature gradient in the 47v2 silicone oil - water system, has been studied. Rigid heat insulated lateral walls, corresponding to the case of closed cavities, have been considered. Transitions between the flows with different spatial structures, have been investigated. It is shown that the presence of an interfacial heat release can change the sequence of bifurcations and lead to the appearance of specific oscillatory regimes. (C) 2016 Elsevier Masson SAS. All rights reserved

    Nonlinear Convective Flows in a Laterally Heated Two-Layer System with a Temperature-Dependent Heat Release/Consumption at the Interface

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    Nonlinear convective flows developed under the joint action of buoyant and thermocapillary effects in a laterally heated two-layer system filling the closed cavity, have been investigated. The influence of a temperature-dependent interfacial heat release/consumption on nonlinear steady and oscillatory regimes, has been studied. It is shown that sufficiently strong temperature dependence of interfacial heat sinks and heat sources can change the sequence of bifurcations and lead to the development of specific oscillatory regimes in the system

    The influence of the gravity force on instabilities of the floating droplet

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    Dynamics and instabilities of the droplet on the liquid substrate under the action of the gravity force have been investigated. The problem is studied numerically. The longwave approximation is applied. By heating from below, the action of the gravity can prevent the rupture of the liquid layer. The diagram of regimes in the plane "the Bond number the Marangoni number"has been constructed. By heating from above, the gravity force flattens the droplet and suppresses the oscillations
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