Abstract
In this study, we explore the influence of varying gravity on the beginning of thermal instability in a rotating layer of Jeffrey nanofluid with Darcy-Brinkman porous media. The solution of the fluid layer retained between two free-free barriers is determined using linear stability analysis based on the normal mode approach. In this study, we used the Galerkin approach to find the eigenvalue. The influence of exponential and cubic variable gravity on the start of stationary and oscillatory convection is calculated analytically and graphically. The graphs are made with the help of MATLAB R2021b software. For both stationary and oscillatory convection, we've examined how variations in gravity affect the Jeffrey parameter, rotation (Taylor number), Darcy-Brinkman number, Lewis number, moderated diffusivity ratio, porosity of porous media, and nanoparticle Rayleigh number. It is discovered that stationary as well as oscillatory convections are more stabilized by negative exponential variable gravity parameter.
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