Double-diffusive natural convection in an enclosure including/excluding sloshing rod using a stabilized ISPH method

In this paper, double-diffusive natural convection in an enclosure is introduced by an incompressible smoothed particle hydrodynamics (ISPH) method. Two different cases of an enclosure have been studied. In the first case, the non-Darcy model for natural convection and heat and mass transfer in an enclosure saturated with anisotropic porous media has been investigated numerically by a stabilized ISPH method. The second case including sloshing rod inside an enclosure filled with free fluid has been studied numerically by a stabilized ISPH method. In the ISPH algorithm, a semi implicit velocity correction procedure is utilized, and the pressure is implicitly evaluated by solving pressure Poisson equation. The results are presented with flow configurations, isotherms, concentration contours and average Nusselt and Sherwood numbers for different Darcy numbers from 10− 4 to 10− 2, porosity values from 0.5 to 0.9, permeability ratio from 0.1 to 10, inclination angle of permeability from 0° to 90° and Rayleigh numbers from 103 to 105. The results demonstrate the effects of the parameters such as Darcy number, porosity, permeability ratio and inclination angle in both of the heat and mass transfer rate and the flow regime. Adding sloshing rod with initial condition inside enclosure affects clearly in heat and mass transfer and the flow characteristics inside the enclosure. The results from this investigation are well validated and have favorable comparisons with previously published results.