Reynolds stress scaling in pipe flow turbulence—first results from CICLoPE
Author(s) -
Ramis Örlü,
Tommaso Fiorini,
Antonio Segalini,
Gabriele Bellani,
Alessandro Talamelli,
P. Henrik Alfredsson
Publication year - 2017
Publication title -
philosophical transactions of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2962
pISSN - 1364-503X
DOI - 10.1098/rsta.2016.0187
Subject(s) - turbulence , reynolds number , reynolds stress , reynolds stress equation model , physics , boundary layer , townsend , reynolds averaged navier–stokes equations , mechanics , scaling , pipe flow , reynolds decomposition , k epsilon turbulence model , turbulence kinetic energy , classical mechanics , geometry , mathematics , reynolds equation , k omega turbulence model , quantum mechanics
This paper reports the first turbulence measurements performed in the Long Pipe Facility at the Center for International Cooperation in Long Pipe Experiments (CICLoPE). In particular, the Reynolds stress components obtained from a number of straight and boundary-layer-type single-wire and X-wire probes up to a friction Reynolds number of 3.8×104 are reported. In agreement with turbulent boundary-layer experiments as well as with results from the Superpipe, the present measurements show a clear logarithmic region in the streamwise variance profile, with a Townsend–Perry constant ofA 2 ≈1.26. The wall-normal variance profile exhibits a Reynolds-number-independent plateau, while the spanwise component was found to obey a logarithmic scaling over a much wider wall-normal distance than the other two components, with a slope that is nearly half of that of the Townsend–Perry constant, i.e.A 2,w ≈A 2 /2. The present results therefore provide strong support for the scaling of the Reynolds stress tensor based on the attached-eddy hypothesis. Intriguingly, the wall-normal and spanwise components exhibit higher amplitudes than in previous studies, and therefore call for follow-up studies in CICLoPE, as well as other large-scale facilities.This article is part of the themed issue ‘Toward the development of high-fidelity models of wall turbulence at large Reynolds number’.
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