Abstract
The problem of cooling two hot blocks in a novel geometry using magnetohydrodynamic flow of Al2O3–water nanofluid has been studied utilizing a D2Q9 Lattice Boltzmann Model. While the Hartmann number (Ha) takes 0, 50, or 100 values, the Richardson number (Ri) varies between 0.02 and 20. Four variations of the geometry are selected. The gravity angle is set to be either 0 ∘ , 3 0 ∘ , or − 3 0 ∘ . Results reveal that the Nusselt number (Nu) increases as Ri increases for all cases. Furthermore, the Hartmann number has a deteriorating effect on the Nusselt number except for low Ri numbers. In addition, the results indicate that while the geometrical configuration is having a considerable impact on the average Nusselt number at low and high Richardson numbers, it has a negligible effect at the mixed convection flow. The best angle for the gravitational force is also between 0 and − 3 0 ∘ . A new correlation for the Nu number based on all parameters is also presented.
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