Electrothermohydrodynamic convection between parallel electrodes with unipolar injection is investigated using a two-relaxation-time lattice Boltzmann method. The interactions between the stabilizing buoyancy force and the destabilizing electric force lead to either monotonic instability or overstability, depending on the Rayleigh number and the Taylor number. A two-stage bifurcation is observed for overstability near the threshold Rayleigh number with a significant change in phase and amplitude.
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Guan et al. (2021) studied this question.
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