TY  - JOUR
AU  - Mathis, R
AU  - Hutchins, N
AU  - Marusic, I
Y2  - 2014/05/22
Y1  - 2009/06/10
SN  - 0022-1120
UR  - http://hdl.handle.net/11343/32979
AB  - In this paper we investigate the relationship between the large- and small-scale energy-containing motions in wall turbulence. Recent studies in a high-Reynolds-number turbulent boundary layer (Hutchins & Marusic, Phil. Trans. R. Soc. Lond. A, vol. 365, 2007a, pp. 647–664) have revealed a possible influence of the large-scale boundary-layer motions on the small-scale near-wall cycle, akin to a pure amplitude modulation. In the present study we build upon these observations, using the Hilbert transformation applied to the spectrally filtered small-scale component of fluctuating velocity signals, in order to quantify the interaction. In addition to the large-scale log-region structures superimposing a footprint (or mean shift) on the near-wall fluctuations (Townsend, The Structure of Turbulent Shear Flow, 2nd edn., 1976, Cambridge University Press; Metzger & Klewicki, Phys. Fluids, vol. 13, 2001, pp. 692–701.), we find strong supporting evidence that the small-scale structures are subject to a high degree of amplitude modulation seemingly originating from the much larger scales that inhabit the log region. An analysis of the Reynolds number dependence reveals that the amplitude modulation effect becomes progressively stronger as the Reynolds number increases. This is demonstrated through three orders of magnitude in Reynolds number, from laboratory experiments at Reτ ~ 103–104 to atmospheric surface layer measurements at Reτ ~ 106.
LA  - English
PB  - CAMBRIDGE UNIV PRESS
KW  - wall turbulence
KW  - turbulent boundary layers
KW  - amplitude modulation
KW  - Reynolds number
T1  - Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers
DO  - 10.1017/S0022112009006946
IS  - Journal of Fluid Mechanics
VL  - 628
SP  - 311-337
L1  - /bitstream/handle/11343/32979/294689_Marusic_large-scale.pdf?sequence=1&isAllowed=y
ER  -