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Intermittency and rough-pipe turbulence

2008/04/16 by Mohammad Mehrafarin, Nima Pourtolami · 1 citation
Physics and Astronomy · #physics.flu-dyn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.77.055304

published as Phys. Rev. E 77, 055304(R), 2008 · To appear in Phys. Rev. E, Rapid Communications

arxiv created 2008/04/16 · arxiv updated 2011/07/04

Abstract

Recently, by analyzing the measurement data of Nikuradze, it has been proposed (N. Goldenfeld, Phys. Rev. Lett. \bf96, 044503, 2006) that the friction factor, f, of rough pipe flow obeys a scaling law in the turbulent regime. Here, we provide a phenomenological scaling argument to explain this law and demonstrate how intermittency modifies the scaling form, thereby relating f to the intermittency exponent, η. By statistically analyzing the measurement data of f, we infer a satisfactory estimate for η (≈ 0.02), the inclusion of which is shown to improve the data-collapse curve. This provides empirical evidence for intermittency other than the direct measurement of velocity fluctuations.

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