Numerical Predictions Using LBM Application: Laminar Mixed Convection of Non-Newtonian Nanofluids in Ventilated Square Cavities

In this paper, we investigate numerically the flow field and heat transfer of a viscoplastic nanofluid flowing within ventilated devices. The incompressible nanofluid with constant and uniform physical and rheological properties is composed of silver nanoparticles suspended in a non-Newtonian base fluid that obeys the Bingham rheological model. This numerical study is based on the multiple relaxation-time Lattice Boltzmann method (MRT-LBM). The two-dimensional nine velocities (D2Q9) model is adopted to solve the flow field, while the two-dimensional five-velocity (D2Q5) model is developed to solve the temperature field. The impact of various pertinent parameters, such as Richardson (0.01 ≤ Ri ≤ 100), Bingham (0 ≤ Bn ≤ 20), and Prandtl numbers (1 ≤ Pr ≤ 30), is widely inspected, side by side with the nanoparticles volume fraction (0 ≤ j ≤ 10%). The obtained results show the important effect of these parameters, which cannot be neglected, on both flow and heat transfer structures, in this type of cavities

Correlating heat and mass transfer coefficients for thermosolutal convection within a porous annulus of a circular shape: case of internal pollutants spreading

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