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The simultaneous effect of rotation and a vertical AC electric field on the onset of electroconvection in a horizontal dielectric nanofluid layer saturated a Darcy porous medium is investigated. The boundaries of the dielectric nanofluid layer are considered isothermal, where the vertical nanoparticle flux is zero. The resulting eigenvalue problem is solved analytically by the Galerkin weighted residuals technique (GWRT) and numerically using the power series method (PSM).The results show that an increase either in the AC electric Rayleigh-Darcy number, in the Lewis number, in the nanoparticle Rayleigh-Darcy number or in the modified diffusivity ratio allows to hasten the onset of electroconvection in dielectric nanofluids, while the Taylor-Darcy number and the porosity of the medium allow to delay it.

Analytical and Numerical Study of the Onset of Electroconvection in a Dielectric Nanofluid Saturated a Rotating Darcy Porous Medium