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Measurements of the mean velocity profile and pressure drop were performed in a fully developed, smooth pipe flow for Reynolds numbers from 31×10 3 to 35×10 6 . Analysis of the mean velocity profiles indicates two overlap regions: a power law for 609×10 3 ). Von Kármán's constant was shown to be 0.436 which is consistent with the friction factor data and the mean velocity profiles for 6005%) than those predicted by Prandtl's relation. A new friction factor relation is proposed which is within ±1.2% of the data for Reynolds numbers between 10×10 3 and 35×10 6 , and includes a term to account for the near-wall velocity profile.
Zagarola et al. (Sun,) studied this question.