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Influence of Heat Flux Modulation on Thermocapillary Instability in a Binary Mixture with the Soret Effect

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Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics

Abstract

We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory for both longwave and shortwave perturbations. For the shortwave mode we also apply an empirical criterion of stability, which implies that the noise of finite magnitude is present in the system. It is shown that the heat flux modulation destabilizes the layer. However, this destabilization is rather strong only for negative values of the Soret number, when either shortwave or longwave oscillatory mode is critical in the absence of modulation.

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Correspondence to A. A. Nepomnyashchy .

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Fayzrakhmanova, I.S., Shklyaev, S., Nepomnyashchy, A.A. (2013). Influence of Heat Flux Modulation on Thermocapillary Instability in a Binary Mixture with the Soret Effect. In: Rubio, R., et al. Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34070-3_18

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  • DOI: https://doi.org/10.1007/978-3-642-34070-3_18

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