Abstract
A Numerical experiment that isolates the motions at a given spanwise length scale is performed based on previous observation on the self-sustaining nature of the eddies in the logarithmic and the wake outer regions [7, 8]. It is shown that the statistics of the isolated self-sustaining motions at a given spanwise length scale are strikingly similar to those of the single attached eddy postulated by Townsend and Perry [1, 2, 5, 6], demonstrating the existence of the attached eddies in turbulent channel flow. Inspecting one-dimensional spectra also leads to build a complete form of the self-similarity of the streamwise length scale and the wall-normal location of all the coherent structures known, including near-wall streaks, quasi-streamwise vortices, very-large-scale motions, and large-scale motions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
A. Townsend, Equilibrium layers and wall turbulence. J. Fluid Mech. 11(1), 97–120 (1961)
A. Townsend, The Structure of Turbulent Shear Flows (Cambridge University Press, Cambridge, 1995)
J. Jiménez, S. Hoyas, Turbulent fluctuations above the buffer layer of wall-bounded flows. J. Fluid Mech. 611, 215–236 (2008)
I. Marusic, J.P. Monty, M. Hultmark, A.J. Smits, On the logarithmic region in wall turbulence. J. Fluid Mech. 716, R3 (2013)
A.E. Perry, M.S. Chong, On the mechanism of turbulence. J. Fluid Mech. 119, 173–217 (1982)
A.E. Perry, H. Henbest, M. Chong, A theoretical and experimental study of wall turbulence. J. Fluid Mech. 165, 163–199 (1986)
Y. Hwang, C. Cossu, Self-sustained process at large scale in turbulent channel flow. Phys. Rev. Lett. 105, 044505 (2010)
Y. Hwang, C. Cossu, Self-sustained processes in the logarithmic layer of turbulent channel flows. Phys. Fluids 23, 061702 (2011)
S. Hoyas, J. Jiménez, Scaling of the velocity fluctuations in turbulent channels up to \(Re_{\tau }\)=2003. Phys. Fluids 18, 011702 (2006)
Y. Hwang, Near-wall turbulent fluctuations in the absence of wide outer motions. J. Fluid Mech. 723, 264–288 (2013)
R.J. Adrian, Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 041301 (2007)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Hwang, Y. (2016). Statistics of Single Self-sustaining Attached Eddy in a Turbulent Channel. In: Stanislas, M., Jimenez, J., Marusic, I. (eds) Progress in Wall Turbulence 2. ERCOFTAC Series, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-20388-1_34
Download citation
DOI: https://doi.org/10.1007/978-3-319-20388-1_34
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-20387-4
Online ISBN: 978-3-319-20388-1
eBook Packages: EngineeringEngineering (R0)