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Laws of Flow in Rough Pipes

501

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1950

Year

TLDR

Prandtl’s mixing‑length theory is used to interpret the turbulent flow measurements. The study experimentally examined turbulent water flow in pipes ranging 25–100 mm in diameter and 1.8–7.05 m long, covering Reynolds numbers from 10⁴ to 10⁶. The experiments yielded resistance laws and velocity‑distribution profiles that vary with relative roughness and Reynolds number.

Abstract

An experimental investigation is made of the turbulent flow of water in pipes with various degrees of relative roughness. The pipes range in size from 25 to 100 millimeters in diameter and from 1800 to 7050 millimeters in length. Flow velocities permitted Reynolds numbers from about 10 (sup. 4) to 10 (sup. 6). The laws of resistance and velocity distributions were obtained as a function of relative roughness and Reynolds number. Mixing length, as described by Prandtl's mixing-length formula, is discussed in relation to the experimental results.