Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-25T18:29:01.429Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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
Type
Papers
Information
Journal of Fluid Mechanics , Volume 792 , 10 April 2016 , pp. 98 - 133
Check for updates
Copyright
© 2016 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Allam, S. & Åbom, M. 2006 Investigation of damping and radiation using full plane wave decomposition in ducts. J. Sound Vib. 292 (3–5), 519–534.Google Scholar
Binder, G., Tardu, S. & Vezin, P. 1995 Cyclic modulation of Reynolds stresses and length scales in pulsed turbulent channel flow. Proc. R. Soc. Lond. A 451 (1941), 121–139.Google Scholar
Brereton, G. J. & Mankbadi, R. R. 1993 A Rapid-Distortion-Theory Turbulence Model for Developed Unsteady Wall-Bounded Flow. National Aeronautics and Space Administration.Google Scholar
Brereton, G. J., Reynolds, W. C. & Jayaraman, R. 1990 Response of a turbulent boundary layer to sinusoidal free-stream unsteadiness. J. Fluid Mech. 221, 131–159.Google Scholar
Builtjes, P. J. H.1977 Memory effects in turbulent flows. PhD thesis provided by the SAO/NASA Astrophysics Data System.Google Scholar
Chevalier, M., Schlatter, P., Lundbladh, A. & Henningson, D. S.2007 SIMSON: a pseudo-spectral solver for incompressible boundary layer flows Tech. Rep. Royal Institute of Technology, Stockholm, Sweden, KTH Mechanics, KTH, SE-10044 Stockholm.Google Scholar
Comte, P., Haberkorn, M., Bouchet, G., Pagneux, V. & Aurégan, Y. 2006 Large-eddy simulation of acoustic propagation in a turbulent channel flow. In Direct and Large-Eddy Simulation VI (ed. Lamballais, E., Friedrich, R., Geurts, B. & Métais, O.), pp. 521–528. Springer.CrossRefGoogle Scholar
Crow, S. C. 1968 Viscoelastic properties of fine-grained incompressible turbulence. J. Fluid Mech. 33 (01), 1–20.Google Scholar
Fung, Y. C. & Tong, P. 2001 Classical and Computational Solid Mechanics. World Scientific.Google Scholar
Hamlington, P. E. & Dahm, W. J. A. 2008 Reynolds stress closure for nonequilibrium effects in turbulent flows. Phys. Fluids 20 (11), 115101.Google Scholar
Hamlington, P. E. & Dahm, W. J. A. 2009 Frequency response of periodically sheared homogeneous turbulence. Phys. Fluids 21 (5), 055107.Google Scholar
Hartmann, M.2001 Zeitlich modulierte Statistik der periodisch gestörten turbulenten Kanalströmung. PhD thesis, Mathematisch-Naturwissenschaftlichen Fakultäten der Georg-August-Universität zu Göttingen.Google Scholar
Howe, M. S. 1984 On the absorption of sound by turbulence and other hydrodynamic flows. IMA J. Appl. Math. 32 (1–3), 187–209.Google Scholar
Howe, M. S. 1995 The damping of sound by wall turbulent shear layers. J. Acoust. Soc. Amer. 98 (3), 1723–1730.Google Scholar
Hussain, A. K. M. F. & Reynolds, W. C. 1970 The mechanics of an organized wave in turbulent shear flow. J. Fluid Mech. 41, 241–258.Google Scholar
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of a Reynolds-stress turbulence closure. J. Fluid Mech. 68, 537–566.Google Scholar
Mankbadi, R. R. & Liu, J. T. C. 1992 Near-wall response in turbulent shear flows subjected to imposed unsteadiness. J. Fluid Mech. 238, 55–71.Google Scholar
Manna, M., Vacca, A. & Verzicco, R. 2012 Pulsating pipe flow with large-amplitude oscillations in the very high frequency regime. Part 1. Time-averaged analysis. J. Fluid Mech. 700, 246–282.Google Scholar
Manna, M., Vacca, A. & Verzicco, R. 2015 Pulsating pipe flow with large-amplitude oscillations in the very high frequency regime. Part 2. Phase-averaged analysis. J. Fluid Mech. 766, 272–296.Google Scholar
Mao, Z. X. & Hanratty, T. J 1986 Studies of the wall shear stress in a turbulent pulsating pipe flow. J. Fluid Mech. 170, 545–564.CrossRefGoogle Scholar
Moser, R. D., Kim, J. & Mansour, N. N. 1999 Direct numerical simulation of turbulent channel flow up to $Re_{{\it\tau}}=590$ . Phys. Fluids 11 (4), 943–945.Google Scholar
Peters, M. C. A. M., Hirschberg, A., Reijnen, A. J. & Wijnands, A. P. J. 1993 Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers. J. Fluid Mech. 256, 499–534.Google Scholar
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.Google Scholar
Ramaprian, B. R. & Tu, S. W. 1983 Fully developed periodic turbulent pipe flow. Part 2. The detailed structure of the flow. J. Fluid Mech. 137, 59–81.Google Scholar
Revell, A. J., Benhamadouche, S., Craft, T. & Laurence, D. 2006 A stress–strain lag eddy viscosity model for unsteady mean flow. Intl J. Heat Fluid Flow 27 (5), 821–830.CrossRefGoogle Scholar
Reynolds, W. C. & Hussain, A. K. M. F. 1972 The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments. J. Fluid Mech. 54 (02), 263–288.Google Scholar
Ronneberger, D.1975 Genaue Messung der Schalldämpfung und der Phasengeschwindigkeit in durchströmten Rohren im Hinblick auf die Wechselwirkung zwischen Schall und Turbulenz. Habilitation thesis.Google Scholar
Ronneberger, D. 1991 Response of wall turbulence to imposed unsteadiness. In EUROMECH Colloquia, Aussois, France, vol. 272.Google Scholar
Ronneberger, D. & Ahrens, C. D. 1977 Wall shear stress caused by small amplitude perturbations of turbulent boundary-layer flow – an experimental investigation. J. Fluid Mech. 83, 433–464.Google Scholar
Scotti, A. & Piomelli, U. 2001 Numerical simulation of pulsating turbulent channel flow. Phys. Fluids 13 (5), 1367–1384.Google Scholar
Scotti, A. & Piomelli, U. 2002 Turbulence models in pulsating flows. AIAA J. 40, 537–544.Google Scholar
She, Z.-S., Wu, Y., Chen, X. & Hussain, F. 2012 A multi-state description of roughness effects in turbulent pipe flow. New J. Phys. 14 (9), 093054.CrossRefGoogle Scholar
Speziale, C. G., Sarkar, S. & Gatski, T. B. 1991 Modelling the pressure–strain correlation of turbulence: an invariant dynamical systems approach. J. Fluid Mech. 227, 245–272.CrossRefGoogle Scholar
Tardu, F. S. & Binder, G. 1993 Wall shear stress modulation in unsteady turbulent channel flow with high imposed frequencies. Phys. Fluids A 5 (8), 2028–2037.Google Scholar
Tardu, S. F., Binder, G. & Blackwelder, R. F. 1994 Turbulent channel flow with large-amplitude velocity oscillations. J. Fluid Mech. 267, 109–151.Google Scholar
Tardu, S. F. & Costa, P. Da 2005 Experiments and modeling of an unsteady turbulent channel flow. AIAA J. 43, 140–148.Google Scholar
Tu, S. W. & Ramaprian, B. R. 1983 Fully developed periodic turbulent pipe flow. Part 1. Main experimental results and comparison with predictions. J. Fluid Mech. 137, 31–58.Google Scholar
Weng, C.2013 Modeling of sound–turbulence interaction in low-Mach-number duct flows, Licentiate thesis, KTH, QC 20130927.Google Scholar
Weng, C., Boij, S. & Hanifi, A. 2013 The attenuation of sound by turbulence in internal flows. J. Acoust. Soc. Amer. 133 (6), 3764–3776.CrossRefGoogle ScholarPubMed
Yu, D. & Girimaji, S. S. 2006 Direct numerical simulations of homogeneous turbulence subject to periodic shear. J. Fluid Mech. 566, 117–151.Google Scholar