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Pulsating pipe flow with large-amplitude oscillations in the very high frequency regime. Part 1. Time-averaged analysis

Published online by Cambridge University Press:  25 April 2012

M. Manna ,
A. Vacca  and
R. Verzicco
M. Manna
Affiliation:
Dipartimento di Ingegneria Meccanica per l’Energetica, Università di Napoli ‘Federico II’, via Claudio 21, 80125 Naples, Italy
A. Vacca
Affiliation:
Dipartimento di Ingegneria Civile, Seconda Università di Napoli, via Roma 29, 81031 Aversa (CE), Italy
R. Verzicco*
Affiliation:
Dipartimento di Ingegneria Meccanica, Università di Roma ‘Tor Vergata’, via del Politecnico 1, 00133 Rome, Italy Physics of Fluids Group, University of Twente, Drienerlolaan 5, 7522 NB Enschede, The Netherlands
*
†Email address for correspondence: verzicco@uniroma2.it
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Abstract

This paper numerically investigates the effects of a harmonic volume forcing of prescribed frequency on the turbulent pipe flow at a Reynolds number, based on bulk velocity and pipe diameter, of 5900. The thickness of the Stokes layer, resulting from the oscillatory flow component, is a small fraction of the pipe radius and therefore the associated vorticity is confined within a few wall units. The harmonic forcing term is prescribed so that the ratio of the oscillating to the mean bulk velocity () ranges between 1 and 10.6. In all cases the oscillatory flow obeys the Stokes analytical velocity distribution while remarkable changes in the current component are observed. At intermediate values , a relaminarization process occurs, while for , turbulence is affected so much by the harmonic forcing that the near-wall coherent structures, although not fully suppressed, are substantially weakened. The present study focuses on the analysis of the time- and space-averaged statistics of the first- and second-order moments, vorticity fluctuations and Reynolds stress budgets. Since the flow is unsteady not only locally but also in its space-averaged dynamics, it can be analysed using phase-averaged and time-averaged statistics. While the former gives information about the statistics of the fluctuations about the mean, the latter, postponed to a subsequent paper, shows how the mean is affected by the fluctuations. Clearly, the two phenomena are connected and both of them deserve investigation.

JFM classification

Boundary Layers: Pipe flow boundary layer
Type
Papers
Information
Journal of Fluid Mechanics , Volume 700 , 10 June 2012 , pp. 246 - 282
Copyright
Copyright © Cambridge University Press 2012

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