Monotonic instability and overstability in two-dimensional electrothermohydrodynamic flow
Yifei Guan, Xuerao He, Qi Wang, Zhiwei Song, Mengqi Zhang, Jian Wu
Abstract
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.
Topics & Concepts
InstabilityBuoyancyMechanicsAmplitudeRayleigh scatteringMonotonic functionConvectionRayleigh numberLattice Boltzmann methodsBifurcationRayleigh–Bénard convectionPhysicsRayleigh–Taylor instabilityThermodynamicsNatural convectionClassical mechanicsMathematicsMathematical analysisOpticsNonlinear systemQuantum mechanicsLattice Boltzmann Simulation StudiesAerosol Filtration and Electrostatic PrecipitationFluid Dynamics and Turbulent Flows