Rotating cylinder and magnetic field on solid particles diffusion inside a porous cavity filled with a nanofluid

This study deals with the roles of a magnetic field and circular rotation of a circular cylinder on the dissemination of solid phase within a nanofluid-filled square cavity. Two wavy layers of the non-Darcy porous media are situated on the vertical sides of a cavity. An incompressible smoothed particle hydrodynamics (ISPH) method was endorsed to carry out the blending process concerning solid phase into nanofluid and porous media layers. Initially, the solid phase is stationed in a circular cylinder containing two open gates. Implications of a buoyancy ratio ( N = −2: 2), Hartmann number ( Ha = 0: 100), rotational frequency ( ω = 1 : 10 ) , Darcy parameter ( D a = 10 − 2 : 10 − 5 ) , Rayleigh number ( R a = 10 3 : 10 6 ) , nanoparticles parameter ( φ = 0 : 0.06 ) , and amplitude of wavy porous layers ( Α = 0.05 : 0.15 ) on the lineaments of heat/mass transport have been carried out. The results revealed that the diffusion of the solid phase is permanently moving toward upward except at opposing flow mode ( N < 0 ) toward downward. The lower Rayleigh number reduces the solid-phase diffusions. A reduction in a Darcy parameter lessens the nanofluid speed and solid-phase diffusions in the porous layers. A reduction in D a from 10 − 3 to 10 − 5 diminishes the maximum of streamlines | ψ | max by 13.19% at N = − 2 , by 46.75% at N = 0 , and by 74.75% at N = 2 .