Effect of magnetic field on thermal instability in rotating Jeffrey nanofluid saturated by a porous medium: free-free, rigid-rigid, and rigid-free boundary conditions

The effect of a revolving Jeffrey nanofluid in a porous medium exposed to a magnetic field is examined in this paper. Three distinct boundary conditions are used to examine the system: free-free, rigid-rigid, and rigid-free. The study examines how the magnetic field impacts the behaviour of the spinning nanofluid inside the porous media using analytical methods and mathematical models. The results broaden our understanding of the connection between rotation, the magnetic field and the special rheological properties of the Jeffrey nanofluid in porous media. The impacts of the Rayleigh number, Lewis number, modified diffusivity ratio, Jeffrey parameter, Chandrashekar number, Taylor number, and porosity of the nanoparticles are investigated through the application of both mathematical and graphical approaches.