Work

Scaling of the energy spectra of turbulent channels

Year: 2004

Type: article

Abstract: The spectra and correlations of the velocity fluctuations in turbulent channels, especially above the buffer layer, are analysed using new direct numerical simulations with friction Reynolds numbers up to Re $_{\tau}\,{=}\,1900$ . It is found, and explained, that their scaling is anomalous in several respects, including a square-root behaviour of their width with respect to their length, and a velocity scaling of the largest modes with the centreline velocity $U_c$ . It is shown that this implies a logarithmic correction to the $k^{-1}$ energy spectrum, and that it leads to a scaling of the total fluctuation intensities away from the wall which agrees well with the mixed scaling of de Graaff & Eaton (2000) at intermediate Reynolds numbers, but which tends to a pure scaling with $U_c$ at very large ones.

Source: Journal of Fluid Mechanics

DOI: 10.1017/s002211200300733x

Authors: JUAN C. DEL ÁLAMO, JAVIER JIMÉNEZ, PAULO ZANDONADE, ROBERT D. MOSER

Institutions: Universidad Politécnica de Madrid, Stanford University, University of Illinois Urbana-Champaign

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: U.S. Department of Energy

Award: G8002821169