Linear stability analysis of a rotating dielectric fluid layer under time-periodic electric field modulation
摘要
The stability of a rotating, infinitely extended horizontal dielectric fluid layer, heated from below and cooled from above is investigated under the influence of electric field modulation. A small-amplitude electric field is applied, and a regular perturbation technique is employed to compute corrections to the critical Rayleigh number and the equivalent wave number, assuming a linear dependence of the dielectric constant on temperature. By varying the frequency of electric field modulation, the study examines its effect on the electrical Rayleigh number, Taylor number, Prandtl number, and the shift in the critical Rayleigh number. At low modulation frequencies, the dielectrophoretic force exhibits the classical destabilizing influence observed in unmodulated, rotating dielectric systems. For moderate to high modulation frequencies, the Taylor number plays a significant role in the stability criteria. The analysis further explores how the Taylor, Prandtl, and electrical Rayleigh numbers affect the onset of electroconvection, revealing that these parameters can either delay or promote instability depending on their values.