Intermittency and rough-pipe turbulence

Details Intermittency and rough-pipe turbulence Intermittency and rough-pipe turbulence

2008-04-16

arxiv.org/abs/0804.2536v1

Phys. Rev. E 77, 055304(R), 2008

Physics

Fluid Dynamics

To appear in Phys. Rev. E, Rapid Communications

Scientific paper

10.1103/PhysRevE.77.055304

Recently, by analyzing the measurement data of Nikuradze, it has been proposed (N. Goldenfeld, Phys. Rev. Lett. {\bf{96}}, 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, $\eta$. By statistically analyzing the measurement data of $f$, we infer a satisfactory estimate for $\eta$ ($\approx 0.02$), 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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