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Nonlinear Waves in Two-Layer Systems with Heat Release at the Interface

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Abstract

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. Two types of boundary conditions on lateral walls: periodic boundary conditions corresponding to laterally infinite two-layer system and rigid heat-insulated lateral walls corresponding to the closed cavity, have been considered. 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.

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Acknowledgments

The material of the present paper has been reported at the 12th Asian Microgravity Symposium AMS 2018, 12–16 November 2018 Zhuhai, China.

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  1. Department of Mathematics, Technion – Israel Institute of Technology, 32000, Haifa, Israel

    Ilya B. Simanovskii

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  1. Ilya B. Simanovskii
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Correspondence to Ilya B. Simanovskii.

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This article belongs to the Topical Collection: Multiphase Fluid Dynamics in Microgravity

Guest Editors: Tatyana P. Lyubimova, Jian-Fu Zhao

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Simanovskii, I.B. Nonlinear Waves in Two-Layer Systems with Heat Release at the Interface. Microgravity Sci. Technol. 32, 11–26 (2020). https://doi.org/10.1007/s12217-019-09730-w

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  • DOI: https://doi.org/10.1007/s12217-019-09730-w

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