Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 101
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Cao, Zheng Deng, Jianqiang Yuan, Wenjun and Chen, Zhihua 2016. Integration of CFD and RTD analysis in flow pattern and mixing behavior of rotary pressure exchanger with extended angle. Desalination and Water Treatment, Vol. 57, Issue. 33, p. 15265.

    He, K. Seddighi, M. and He, S. 2016. DNS study of a pipe flow following a step increase in flow rate. International Journal of Heat and Fluid Flow, Vol. 57, p. 130.

    Kong, Wei and Luo, Jisheng 2016. Global instability of Stokes layer for whole wave numbers. Applied Mathematics and Mechanics, Vol. 37, Issue. 8, p. 999.

    Oosterhuis, Joris P. Verbeek, Anton A. Bühler, Simon Wilcox, Douglas and van der Meer, Theo H. 2016. Flow Separation and Turbulence in Jet Pumps for Thermoacoustic Applications. Flow, Turbulence and Combustion,

    Tubaldi, Eleonora Amabili, Marco and Païdoussis, Michael P. 2016. Fluid–structure interaction for nonlinear response of shells conveying pulsatile flow. Journal of Sound and Vibration, Vol. 371, p. 252.

    Barreno, I. Costa, S.C. Cordon, M. Tutar, M. Urrutibeascoa, I. Gomez, X. and Castillo, G. 2015. Numerical correlation for the pressure drop in Stirling engine heat exchangers. International Journal of Thermal Sciences, Vol. 97, p. 68.

    Hack, M. J. Philipp and Zaki, Tamer A. 2015. Modal and non-modal stability of boundary layers forced by spanwise wall oscillations. Journal of Fluid Mechanics, Vol. 778, p. 389.

    Leu, Tzong-Shyng Gong, Ding-Cong and Pan, Dartzi 2015. Numerical and experimental studies of phase difference effects on flow rate of peristaltic micro-pumps with pumping chambers in series configurations. Microsystem Technologies,

    Manna, M. Vacca, A. and Verzicco, R. 2015. Pulsating pipe flow with large-amplitude oscillations in the very high frequency regime. Part 2. Phase-averaged analysis. Journal of Fluid Mechanics, Vol. 766, p. 272.

    Song, Jie and Law, Adrian Wing-Keung 2015. Longitudinal dispersion of turbulent oscillatory pipe flows. Environmental Fluid Mechanics, Vol. 15, Issue. 3, p. 563.

    Thomas, Christian Blennerhassett, P. J. Bassom, Andrew P. and Davies, Christopher 2015. The linear stability of a Stokes layer subjected to high-frequency perturbations. Journal of Fluid Mechanics, Vol. 764, p. 193.

    Tubaldi, E. Amabili, M. and Alijani, F. 2015. Nonlinear vibrations of plates in axial pulsating flow. Journal of Fluids and Structures, Vol. 56, p. 33.

    Casanellas, Laura and Ortín, Jordi 2014. Vortex ring formation in oscillatory pipe flow of wormlike micellar solutions. Journal of Rheology, Vol. 58, Issue. 1, p. 149.

    Fardin, Marc A. Perge, Christophe Casanellas, Laura Hollis, Thomas Taberlet, Nicolas Ortín, Jordi Lerouge, Sandra and Manneville, Sebastien 2014. Flow instabilities in large amplitude oscillatory shear: a cautionary tale. Rheologica Acta, Vol. 53, Issue. 12, p. 885.

    Henriquez, M. Reniers, A.J.H.M. Ruessink, B.G. and Stive, M.J.F. 2014. PIV measurements of the bottom boundary layer under nonlinear surface waves. Coastal Engineering, Vol. 94, p. 33.

    Ozdemir, Celalettin E. Hsu, Tian-Jian and Balachandar, S. 2014. Direct numerical simulations of transition and turbulence in smooth-walled Stokes boundary layer. Physics of Fluids, Vol. 26, Issue. 4, p. 045108.

    Shome, Biswadip 2014. Numerical study of a flat-crested oscillatory boundary layer flow over a flat plate. Computers & Fluids, Vol. 92, p. 151.

    Thomas, Christian Davies, Christopher Bassom, Andrew P. and Blennerhassett, P. J. 2014. Evolution of disturbance wavepackets in an oscillatory Stokes layer. Journal of Fluid Mechanics, Vol. 752, p. 543.

    Xiao, Gang Zhou, Tianxue Ni, Mingjiang Chen, Conghui Luo, Zhongyang and Cen, Kefa 2014. Study on oscillating flow of moderate kinetic Reynolds numbers using complex velocity model and phase Doppler anemometer. Applied Energy, Vol. 130, p. 830.

    Gouder, Kevin Potter, Mark and Morrison, Jonathan F. 2013. Turbulent friction drag reduction using electroactive polymer and electromagnetically driven surfaces. Experiments in Fluids, Vol. 54, Issue. 1,

  • Journal of Fluid Mechanics, Volume 225
  • April 1991, pp. 395-422

An investigation of transition to turbulence in bounded oscillatory Stokes flows Part 1. Experiments

  • R. Akhavan (a1) (a2), R. D. Kamm (a2) and A. H. Shapiro (a2)
  • DOI:
  • Published online: 01 April 2006

Experimental results on flow-field statistics are presented for turbulent oscillatory flow in a circular pipe for the range of Reynolds numbers Reδ = U0δ/ν (U0 = amplitude of cross-sectional mean velocity, δ = (2ν/ω)½) = Stokes layer thickness) from 550 to 2000 and Stokes parameters Λ = R/δ (R = radius of the pipe) from 5 to 10. Axial and radial velocity components were measured simultaneously using a two-colour laser-Doppler anemometer, providing information on ensemble-averaged velocity profiles as well as various turbulence statistics for different phases during the cycle. In all flows studied, turbulence appeared explosively towards the end of the acceleration phase of the cycle and was sustained throughout the deceleration phase. During the turbulent portion of the cycle, production of turbulence was restricted to the wall region of the pipe and was the result of turbulent bursts. The statistics of the resulting turbulent flow showed a great deal of similarity to results for steady turbulent pipe flows; in particular the three-layer description of the flow consisting of a viscous sublayer, a logarithmic layer (with von Kármán constant = 0.4) and an outer wake could be identified at each phase if the corresponding ensemble-averaged wall-friction velocities were used for normalization. Consideration of similarity laws for these flows reveals that the existence of a logarithmic layer is a dimensional necessity whenever at least two of the scales R, u*/ω and ν/u* are widely separated; with the exact structure of the flow being dependent upon the parameters u*/Rω and u2*/ων. During the initial part of the acceleration phase, production of turbulence as well as turbulent Reynolds stresses were reduced to very low levels and the velocity profiles were in agreement with laminar theory. Nevertheless, the fluctuations retained a small but finite energy. In Part 2 of this paper, the major features observed in these experiments are used as a guideline, in conjunction with direct numerical simulations of the ‘perturbed’ Navier–Stokes equations for oscillatory flow in a channel, to identify the nature of the instability that is most likely to be responsible for transition in this class of flows.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *