Direct Numerical Simulations have been carried out to study the forced convection heat transfer of flow through fixed prolate particles for a variety of aspect ratios ar = {5/4, 5/3, 5/1} with Reynolds number (Re) up to 100. Three variations of the solid volume fraction c = {0.1, 0.2, 0.3} with four Hermans orientation factors S = {−0.5, 0, 0.5, 1} are studied. It has been found that changes in S cause prominent variations in the Nusselt number. In general, Nusselt number increases with the decrease of S. For all three aspect ratios, the Nusselt number remains a linear function of S at different c and Re. Therefore, it is concluded that, for heat transfer from prolate muti-particle system, the effects of orientations cannot be ignored. A new correlation for Nusselt number has been developed for arrays of prolate particles using the simulation data as a function of Re, c, S and ar.
Read full abstract