Numerical Modeling of MHD Double-Diffusive Convection and Entropy Generation in an Inclined Curvilinear Lid-Driven Cavity

Abstract

This paper investigates numerically the effect of MHD and entropy generation on double-diffusive combined convection in an inclined enclosure filled with Si₂O/H₂O and heated fins. The geometry's base is connected to double fins with three locations in three cases. A range of variables has been considered, such as Reynolds, Richardson, Lewis, bouancy ratio, the volume fraction, Hartmann numbers, and the orientation of the enclosure, to investigate how these variables can affect the fluid flow and the mass and thermal transfer. The finite element method has been applied to solve these variables, and the main findings indicated that the value of average Nusselt and Sherwood numbers increases with the increase of volume fraction, Richardson, and Lewis numbers while decreasing with the increase of magnetic strength, Hartmann number. Where Nu_avg and Sh_avg increase to 65% and 19% when increasing Re from 40 to 180 while both values decrease to around 35% when increasing Haatmann number from 0 to 62. Moreover, increasing the volume concentration from 0 to 0.08 increases Nu_avg and Sh_avg to around 3% and 12% respectively. Furthermore, the average Sherwood number increases with the increase in inclination angle. In contrast, the average Nusselt decreases with the increase in the inclination angle, except for the right angle, which gives a higher value. Moreover, the total average entropy generation is reduced with the increase of the magnetohydrodynamic and buoyancy ratio while increasing with the rise of Reynolds, Richardson, Lewis, and the concentration of the nanoparticles. Also, the lowest values of entropy generation are generated in Case 3, while CaseI generates the highest values of entropy generation.