The Friction Factor of Turbulent Flow of the Base Fluid and Nanofluid in the Statistical Approach

In this paper, the presented correlations in scientific literature for friction factor of turbulent flow in the base fluid and nanofluid has been analyzed statistically. In order to perform the statistical analysis and select the best probability distribution function for the friction factor, from 48 probability distribution functions and 3 statistic of Kolmogorov-Smirnov, Anderson-Darling and chi squared has been used. The results show that, based on all three statistics, the probability distribution function of the friction factor in the base fluid and nanofluid is the Johnson SB probability distribution function. Furthermore, it was observed that the probability distribution function of the friction factor of the base fluid and nanofluid is wider than the normal distribution function. On the other side, the probability distribution function of Johnson SB has a right skewness.