Two-point correlation in wall turbulence according to the attached-eddy hypothesis

Abstract

For the constant-stress layer of wall turbulence, two-point correlations of velocity fluctuations are studied theoretically by using the attached-eddy hypothesis, i.e., a phenomenological model of a random superposition of energy-containing eddies that are attached to the wall. While the previous studies had invoked additional assumptions, we focus on the minimum assumptions of the hypothesis to derive its most general forms of the correlation functions. They would allow us to use or assess the hypothesis without any effect of those additional assumptions. We also study the energy spectra and the two-point correlations of the rate of momentum transfer and of the rate of energy dissipation.

14 pages, to appear in Journal of Fluid Mechanics

References in corpus (1)

• Direct numerical simulation of turbulent channel flow up to $R{e}_{\tau }\approx 5200$

Cited by in corpus (6)

• A spectral-scaling based extension to the attached eddy model of wall-turbulence
• Model-based spectral coherence analysis
• Unlikely existence of $k_x^{-1}$ spectral law in wall turbulence: an observation of the atmospheric surface layer
• Logarithmic and nonlogarithmic scaling laws of two-point statistics in wall turbulence
• Momentum flux fluctuations in wall turbulence: a formula beyond the law of the wall
• Momentum flux fluctuations in wall turbulence formulated along the distance from the wall