Numerical investigation of double-diffusive mixed convection in a split lid-driven curvilinear cavity

The double-diffusive mixed convection of MWCNT/water in a curvilinear cavity with split lid-driven and hot ellipses has been numerically studied in this paper. The top wall is split to move in different directions. The inclined walls, as well as the top wall, are cold with low concentration. Furthermore, the inner ellipses represent the heat source and high concentration, while the vertical and bottom walls are adiabatic. The considered variables are a range of Reynolds (50 ≤ Re ≤ 200), Richardson (0.1 ≤ Ri ≤10), Hartmann (0 ≤ Ha ≤ 30), Lewis (0.1 ≤ Le ≤ 10), bouncy ratio (−6 ≤ N ≤ 6), volume fraction (0 ≤ ϕ ≤ 0.08) and the direction of the split lid-driven at constant Prandtl (Pr = 6.2). The analysis has been done using the finite element method. The main results stated that the heat and mass transfers are greatly enhanced with the increase of Re number in the case of low Ri number, where Ri = 0.1 and Re = 50, the values of Nuavg and Shavg are equal to 7.4 and 10.7 and become 10.7 and 16.2 at Ri = 0.1, Re = 200 respectively. However, the effect of the Re becomes unnoticeable with a high Ri. Furthermore, Le has a positive effect on heat and mass transfer, and this effect increases with increasing Ri. For example, at Ri = 10 and Le = 1, Nuavg is 2.1 and Shavg is 2.2, whereas at Ri = 10 and Le = 10, Nuavg is 3.1 and Shavg is 4.6.