Optimization of cooling effects with fins of variable cross-sections

ABSTRACT

Vertical fins radially mounted on heated circular horizontal plates are capable of enhancing free-convection cooling effects. Here we have numerically and experimentally shown that fins whose cross sectional shape is trapezoidal can provide greater cooling effects than their rectangular counterparts. Simulations and experiments are based on the Galerkin finite element method and TES1310 type-K thermocouple measurements. Three mechanisms responsible for cooling effect improvements are identified: (1) dominance of cooling strength near the rims of circular plates; (2) vertical surface area increase due to trapezoidal geometries; and (3) entrained-flow retardation due to pseudo-stagnation pressures. Our work can help guide heat transfer communities to design fins of varying cross sectional area.