Study of entropy generation and evaluation statistical heat transfer properties in turbulent flow

In this paper, effect of the nanoparticles diameter on the forced convection heat transfer of turbulent flow of Al2O3-water nanofluids in a circular tube under constant heat flux on the wall using of two phase mixture model numerically investigated and was statistical analysis. The Volume fraction of nanoparticles is %3, the Reynolds number is 5×104 and the variation of diameter of nanoparticles is assumed in the range of 20- 110nm. In the statistical analysis, from the continuous probability distribution functions such as Gamma, Normal, Lognormal, Gumbel, Weibull and Frechet were used. After reviewing the results, it was found that by increasing the diameter of nanoparticles, the Nusselt number is reduced and this parameter due to changes in the nanoparticles of diameter has followed of the Frechet probability distribution function.