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One-point statistics for turbulent pipe flow up to

2021
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Journal of Fluid Mechanics
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We study turbulent flows in a smooth straight pipe of circular cross-section up to friction Reynolds number $({\textit {Re}}_{\tau }) \approx 6000$ using direct numerical simulation (DNS) of the Navier–Stokes equations. The DNS results highlight systematic deviations from Prandtl friction law, amounting to approximately $2\,\%$ , which would extrapolate to approximately $4\,\%$ at extreme Reynolds numbers. Data fitting of the DNS friction coefficient yields an estimated von Kármán constant $k

doi:10.1017/jfm.2021.727
fatcat:wvamcoghf5fprjnuhkqyse3lby