Abstract
The numerical contribution of the natural heat flow of dusty hybrid nanofluid due to a square cavity filled with a porous medium with the effects of internal heat generation and the magnetic field is presented in this paper. The system of the problem equations is divided into hybrid nanofluid (Al2O3–Cu) phase equations and dusty phase equations, which are converted to a dimensionless form to be suitable for solving them numerically using the finite difference method. The results manifest in the streamlines, isotherms contours for both hybrid nanofluid phase and dust phase as well in local and average Nusselt numbers profiles. The numerical computations are performed and presented via graphs and tables due to the influence of governing physical parameters like ◂()▸, ◂()▸, ◂()▸, (0 ≤ Σ ≤ �/2), ◂()▸, (0.0≤�≤0.1), ◂()▸, and ◂()▸. The results indicate that increasing of fluid–particle interaction parameter for velocity leads to increment of the streamlines and isotherms of both the dust and hybrid nanofluid phases. A notable enhancement is found in the streamlines of the hybrid nanofluid phase and dust phase for high values of the Rayleigh number. The average Nusslet number ameliorates due to suspended dust particles in the hybrid nanofluid while deteriorates with increasing nanoparticle volume fraction. Furthermore, rising values of Hartmann number lead to reducing streamlines of the hybrid nanofluid and dust phases but an increase occurs with an increment of the inclined angle of the magnetic field. A notable agreement is obtained between the data of the present study and other previously published work.