The Entropy Generation Analysis of a Pin–Fin Heatsink with Fe3O4 Ferrofluid Coolant and Considering Four Different Pin–Fin Shapes (Circular, Square, Rhumbas, and Triangular) in the Presence of the Magnetic Field

The entropy generation analysis was performed to determine the viscose and thermal irreversibilities (and ) inside a pin–fin heatsink under the absence (WO) and presence (W) of the magnetic field considering Res of 200, 300, 400, and 500, four different pin–fin shapes, and Fe3O4 ferrofluid coolant. The results demonstrated that and escalates and diminishes, respectively, by increasing Re or by applying the magnetic field effects. For instance, the increase in Re from 200 to 500 escalates by 86% and 80% for 4 configurations and under WO and W scenarios of the magnetic field. Besides, the highest (and lowest ) was observed for the triangular configuration, which is nearly 12.79% (and 8.36%) and 13.89% (and 11.18%) higher than that for the circular configurations with the lowest (and highest
) among four configurations at Re = 200. Furthermore, the magnetic field escalates by 41.88%, 37.19%, 37.49%, and 34.06% over the base case without the magnetic field for circular, square, rhumbas, and triangular heatsinks, respectively, at Re = 200. These values diminish to 10.50%, 11.46%, 10.51%, and 7.77% as Re increases from 200 to 500. In addition, decreases by 21.98% (or 7.39%), 19.18% (or 6.17%), 20.95% (or 7.15%), and 14.00% (or 3.46%) under the W scenario against the WO scenario for circular, square, rhumbas, and triangular configurations, respectively, at Re of 200 (or 500).