Estimating wall-shear-stress fluctuations given an outer region input

• Published in: Journal of fluid mechanics Vol. 715; pp. 163 - 180
• Main Authors: Mathis, Romain, Marusic, Ivan, Chernyshenko, Sergei I., Hutchins, Nicholas
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 25.01.2013; Cambridge University Press (CUP)
• Subjects: Boundary layer; Boundary layer and shear turbulence; Boundary layers; Exact sciences and technology; Fluid dynamics; Fluid mechanics; Fundamental areas of phenomenology (including applications); Physics; Shear stress; Turbulence simulation and modeling; Turbulent flow; Turbulent flows, convection, and heat transfer; turbulent boundary layers; turbulent flows; Turbulent flow; Energy spectra; Digital simulation; Shear stress; Modelling; Boundary layers; Turbulence structure; Pressure gradients
• ISSN: 0022-1120; 1469-7645
• DOI: 10.1017/jfm.2012.508

A model for the instantaneous wall-shear-stress distribution is presented for zero-pressure-gradient turbulent boundary layers. The model, based on empirical and theoretical considerations, is able to reconstruct a statistically representative fluctuating wall-shear-stress time-series, ${ \tau }_{w}^{\ensuremath{\prime} } (t)$, using only the low-frequency content of the streamwise velocity measured in the logarithmic region, away from the wall. Results, including spectra and second-order moments, show that the model is capable of successfully capturing Reynolds number trends as observed in other studies.