Conjugate mixed convection of nanofluids in a lid-driven cavity with a concentric solid insert using Buongiorno's two-phase model

The present proposal investigates a steady conjugate mixed convection in a lid-driven square cavity with a centered square solid body. The cavity is filled with water-based nanofluid using Buongiorno's two-phase model. The governing equations will be solved numerically using finite difference method and Homotopy Analysis Method. The governing parameters are the nanoparticles volume fraction, Reynolds number, Richardson number, and the size of the inner solid. The other parameters are the Prandtl number, Lewis number, Schmidt number, ratio of Brownian to thermophoretic diffusivity and normalized temperature parameter. The aims of the study are to determine the effects of the size of the inner solid block and the nanoparticles on the heat transfer incorporating Buongiorno's two-phase model.