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The classical experiments on turbulent friction in rough pipes were performedby J. Nikuradse in the 1930's. Seventy years later, they continue to defytheory. Here we model Nikuradse's experiments using the phenomenological theoryof Kolmog\'orov, a theory that is widely thought to be applicable only tohighly idealized flows. Our results include both the empirical scalings ofBlasius and Strickler, and are otherwise in minute qualitative agreement withthe experiments; they suggest that the phenomenological theory may be relevantto other flows of practical interest; and they unveil the existence of closeties between two milestones of experimental and theoretical turbulence.Comment: Accepted for publication in PRL; 4 pages, 4 figures; revised versio

Turbulent Friction in Rough Pipes and the Energy Spectrum of the Phenomenological Theory