Progress in Wall Turbulence 2 pp 47-60 | Cite as

# Attached Eddies and High-Order Statistics

## Abstract

The attached eddy hypothesis of Townsend [16] is the basis of a model of the logarithmic region in wall-bounded turbulent flows, in which the inertially dominated part of the flow is described by a hierarchy of self-similar eddying motions that extend to the wall. The hypothesis has gained considerable support from high Reynolds number experiments and recently from DNS Sillero et al., Phys. Fluids 25:105102, 2013, [14]. Meneveau and Marusic, J. Fluid Mech., 719:R1, 2013, [9] also recently used the attached eddy hypothesis, together with the central limit theorem, to deduce that all even-ordered moments of the streamwise velocity will exhibit a logarithmic dependence on the distance from the wall. This was also further supported by experimental evidence.

## Keywords

Central Limit Theorem Velocity Fluctuation Streamwise Velocity Reynolds Shear Stress High Order Moment## References

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