Effect of fluid Prandtl number on heat transfer characteristics in internally heated liquid pools with Rayleigh numbers up to 1012

Thermal lattice-BGK model based on large-eddy simulation of turbulent natural convection due to internal heat generation

“…[24], a table of the Nu(Ra) relationship on the cooled surface in many geometries was presented and one can see that the relationships between Nu up and Ra for the upper surface are quite similar to different geometries, which approximately hold Nu up % Ra 0.20À0.235 with Ra up to 10 16 . In our simulations, for Ra from 10 9 to 10 11 , we find Nu up % Ra 0.1746 at Pr = 0.25 and Nu up % Ra 0.1766 at Pr = 0.60.…”

“…As to the NC of internally heated fluids, a considerable amount of experimental and analysis effort was focused on determining the averaged Nu numbers on the cooled surface in many geometries such as fluid layer, rectangular, semicircular and elliptical cavities. Although the geometries were different, the relationship Nu up (Ra) for the upper surfaces are quite similar [24]. Hence, the question arises of whether or not a simple power-law relationship between Nu and Ra exists in turbulent natural convection due to internal heat generation.…”

Lower head integrity under steam explosion loads

“…(24) might exhibit some small sensitivity to the Prandtl number (Nourgaliev et al, 1997), but the contribution of this term is negligible not only to the pool, but also to the thermal loading of the lower blockage examined in Section 4.1. The results are summarized in Fig.…”

Entropy generation in turbulent natural convection due to internal heat generation

“…The core debris may heat up on account of the volumetric decay heat generation to form a molten pool in natural convection. Consequently, to predict the behavior of the convectional flow and to optimally design the thermal systems are necessary in the nuclear engineering [6,9].…”

“…In Ref. [9], the effect of the Pr on the Nu distributions for different geometries was demonstrated. In their work, Ra spanned from 10 6 to 10 12 and Pr from 0.6 to 7.…”