An electrically conducting nanofluid saturated with a uniform porous media has been tested to determine how rotation affects thermal convection. Utilizing the Oldroydian model, which incorporates the specific effects of the electric field, Brownian motion, thermophoresis, and rheological factors for the distribution of nanoparticles that are top- and bottom-heavy, one may use linear stability theory to ensure stability. Analysis and graphical representation of the effects of the AC electric field Rayleigh number, Taylor number, Lewis number, modified diffusivity ratio, concentration Rayleigh number, and medium porosity are provided for both bottom-heavy and top-heavy distribution.

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It is investigated how changes in gravity affect the thermal instability rotating Jeffrey nanofluids in porous media. Along with the Galerkin method and normal mode approach, the Darcy model is used. The distinct variable gravity parameters taken in this paper are: h(z)=z2-2z, h(z)=-z2, h(z)=-z and h(z)=z and their effects on the Jeffrey parameter, Taylor number, moderated diffusivity ratio, porosity of porous media, Lewis number and nanoparticle Rayleigh number on stationary convection have been scrutinized and graphically shown. Our finding demonstrates that varying gravity parameter h(z)=z2-2z has more stabilising impact on stationary convection. We have also discovered the necessary condition for overstability in the instance of oscillatory convection for this problem.

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