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Numerical and theoretical investigation of pulsatile turbulent channel flows

Published online by Cambridge University Press:  29 February 2016

Chenyang Weng Open the ORCID record for Chenyang Weng [Opens in a new window] ,
Susann Boij  and
Ardeshir Hanifi
Chenyang Weng*
Affiliation:
KTH Royal Institute of Technology, School of Engineering Sciences, Department of Aeronautical and Vehicle Engineering, The Marcus Wallenberg Laboratory for Sound and Vibration, Linné FLOW Centre, SE-100 44 Stockholm, Sweden
Susann Boij
Affiliation:
KTH Royal Institute of Technology, School of Engineering Sciences, Department of Aeronautical and Vehicle Engineering, The Marcus Wallenberg Laboratory for Sound and Vibration, Linné FLOW Centre, SE-100 44 Stockholm, Sweden
Ardeshir Hanifi
Affiliation:
KTH Royal Institute of Technology, School of Engineering Sciences, Department of Mechanics, Linné FLOW Centre, SeRC, SE-100 44 Stockholm, Sweden Swedish Defence Research Agency, FOI, Stockholm, Sweden
*
†Email address for correspondence: chenyang@kth.se
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Abstract

A turbulent channel flow subjected to imposed harmonic oscillations is studied by direct numerical simulation (DNS) and theoretical models. Simulations have been performed for different pulsation frequencies. The time- and phase-averaged data have been used to analyse the flow. The onset of nonlinear effects during the production of the perturbation Reynolds stresses is discussed based on the DNS data, and new physical features observed in the DNS are reported. A linear model proposed earlier by the present authors for the coherent perturbation Reynolds shear stress is reviewed and discussed in depth. The model includes the non-equilibrium effects during the response of the Reynolds stress to the imposed periodic shear straining, where a phase lag exists between the stress and the strain. To validate the model, the perturbation velocity and Reynolds shear stress from the model are compared with the DNS data. The performance of the model is found to be good in the frequency range where quasi-static assumptions are invalid. The viscoelastic characteristics of the turbulent eddies implied by the model are supported by the DNS data. Attempts to improve the model are also made by incorporating the DNS data in the model.

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent boundary layers

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Papers
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Journal of Fluid Mechanics , Volume 792 , 10 April 2016 , pp. 98 - 133
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© 2016 Cambridge University Press 

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