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arXiv · 2504.10324

Rayleigh-B\'enard-Marangoni convection in binary fluids - Effect of miscibility on oscillatory mode

Anubhav Dubey·Saumyakanta Mishra·S. V. Diwakar·Sakir Amiroudine
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Abstract

The pair of fluids, FC72- 1cSt silicone oil, exhibiting temperature-sensitive miscibility gap is considered in this study to investigate the classical Rayleigh-B\'enard-Marangoni (RBM) instability. The system of fluids is considered at distinct temperatures to elucidate the effect of the degree of miscibility between the two fluids. We employ a modified phase- field model to track the evolution of the RBM instability as the temperature of the system is varied. The proposed model correctly initializes the concentration profile and also properly leads to a miscibility-dependent surface tension. A spectral-collocation-based method is employed to solve the linearized governing equations that help investigate the onset characteristics of the convection, i.e., both the critical values and the mode of convection onset, which could be either oscillatory or stationary. The results reveal the dependence of the window of oscillatory convection on the degree of miscibility between the two fluids. The coupling between the Korteweg stresses and the degree of miscibility governs the thermal energy required to provoke the system into the convective state. The onset of RBM flow is analyzed parametrically, with the successive rise in the strength of the Marangoni component.

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Anubhav Dubey, Saumyakanta Mishra, S. V. Diwakar, Sakir Amiroudine. 2025-04-14. Rayleigh-B\'enard-Marangoni convection in binary fluids - Effect of miscibility on oscillatory mode. https://arxiv.org/abs/2504.10324

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