Double-diffusive convection from a rotating rectangle in a finned cavity filled by a nanofluid and affected by a magnetic field

Abstract The incompressible smoothed particle hydrodynamics (ISPH) method is employed for investigating the thermo-solutal convection within a finned cavity containing a circling rectangle shape. The finned cavity is occupied with the copper/water nanofluids. The regulating equations of the existent problem and a uniform circular rotation of inner shapes are handled by the ISPH method. The four finned are positioned in the center of the cavity sides and their conditions are stayed at Tc and Cc. The inner shape has a hot temperature Th and high concentration Ch, while the vertical-cavity sides are stayed at Tc and Cc and the horizontal cavity sides are adiabatic. The main findings stated that the existence of four fins is an effective tool in the cooling process of a nanofluid inside a finned cavity. Rotation of an embedded rectangle shape profounds an impression on the nanofluid movements and attributes of convective flow. The mean Sherwood number has non-monotonic actions below the alterations of Soret and Dufour numbers. Increasing Hartmann number Ha grows the magnetic power which acts to decrease distributions of the isothermal and isoconcentration and suppresses the nanofluid movements. The streamline's maximum |ψ|max is lowering by 83.32%, 80.14%, and 78.06% as Ha increases from 0 to 50 at γ = 0 ° , 60°, and 90°, respectively. Increasing a magnetic slope angle γ from 0° to 90° mounted |ψ|max by 9.59% and 31.53% at Ha = 20 and 50, respectively. As a Soret number grows complemented by a reduction in Dufour number are giving a clear reduction in the distributions of the isoconcentration and the streamline's maximum rises by 58.41%. Mean rates of heat & mass transfer are decreasing by an increase in the Hartmann number.