Inclination and volume fraction effect on a convective flow of nanofluid: ADI methods

This work is based on a numerical modelling of the natural convection phenomenon in a square cavity. A calculation code based on the Alternating Direction Implicit (ADI) method has been developed to simulate the different parameters that influence the convective transfer within cavities filled with nanofluid (Cu-water). The results have been confronted with those of charafi et al. [25] work, which is based on Forward Time Centred Space (FTCS) using UPWIND scheme method, a good agreement was found between the two results which allowed us to validate our computational code. The parameters examined in this study are the Rayleigh number (103 ≤ Ra ≤ 105), the volume fraction (4 % ≤ φ ≤ 20 %) and the cavity inclination (0° ≤ γ ≤ 90°). The results show that both methods give the same result with low uncertainty, it was found that the studied parameters influence the convective flow within our configuration, also, the volume fraction can intensifies the convective heat transfer, however, the inclination affects the convective flow with the best transfer for γ = 30°.