In the present work, the entropy production of Al2O3-water nanofluid in an oblique
cavity enclosure is examined. The side edges of the enclosure are at lower temperature
and the top and down ones are insulated. Two thick conductive walls are placed on
the low temperature edges. Furthermore, the center of the enclosure is equipped with
a constant high temperature heat source. The enclosure is exposed to an inclined
magnetic field. The governing nonlinear partial differential equations are continuity,
Navier–Stokes and energy equations. These equations are solved using an open-source
CFD software package (OpenFOAM). The influence of effective parameters includes Ra
number, Hartman number, the angles of magnetic field and enclosure, nanoadditives
concentration, and aspect ratio on the entropy production and the Bejan (Be) number
are investigated. The results show that the minimum entropy production happened at
low power magnetic fields. With the increase of the slope of the cavity, the entropy
production rises. The addition of nanoadditives leads to an intensification in the entropy
production and a reduction in the Be number.