摘要:During the transmission of heat and mass inside an annulus, the impacts of the thermal diffusion & diffusion-thermo should be considered. Then the target of this paper is solving the thermosolutal convection of a nanofluid inside an annulus amongst a square cavity and an inner prismatic shape with three circular cylinders. The ranges of the considered parameters are the solid volume fraction (0≤φ≤0.1), circular cylinder's radius (0.01≤Rc≤0.075), Hartmann number (0≤Ha≤40), Dufour number (0.03≤Du≤0.6), Rayleigh number (103≤Ra≤106), and Soret number (0.1≤Sr≤2). The results indicated that the radius of the circular cylinders is improving the nanofluid moments and strengths of convection flow in an annulus. The maximum of the streamlines is reducing according to an augmentation in Hartmann number or solid volume fraction. The extra buoyancy forces at higher Rayleigh numbers are improving the strengths of the temperature, concentration, and streamlines within an annulus. The mean Nusselt/Sherwood numbers are enhanced along with an expansion in the solid volume fraction or radius of the circular cylinders.