Abstract
Study of the convective transport of the dusty nanofluid is germane to dust ladder air, fluidization, gas cooling systems to enhance heat transfer process, environmental pollution, dust collection, sedimentation, and petroleum industry. Therefore, we aim in this article to deal with the transient three dimensional (3 D) radiative-convective flows and heat transfer of dusty nanofluid within porous cubic enclosures. Two systems of the differential equations are formulated for the nanofluid and dusty phases and two SIMPLE (Semi Implicit Method for Pressure Linked Equation) techniques are carried out for the distributions of the nanofluid and dusty pressures. The porous elements are the glass balls and the non-Darcy model is applied for the porous medium. All the porous properties are constants and taken into account during all the computations. The radiation flux is assumed in the normal direction and components of the system are in the thermal equilibrium state. The mixture is consisting of water as a host fluid and alumina as nanoparticles. The main findings revealed that the dusty parameters have significantly impacts on the heat transfer and hence they are important factors in such types of flows. Also, the increase in the nanoparticles volume fraction from 0% to 10% gives an enhancement in the average Nusselt number up to 12.88%.