Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-29T09:23:38.716Z Has data issue: false hasContentIssue false
  • English
  • Français

Transient dynamics of accelerating turbulent pipe flow

Published online by Cambridge University Press:  29 April 2021

Byron Guerrero Open the ORCID record for Byron Guerrero [Opens in a new window] ,
Martin F. Lambert Open the ORCID record for Martin F. Lambert [Opens in a new window]  and
Rey C. Chin Open the ORCID record for Rey C. Chin [Opens in a new window]
Byron Guerrero*
Affiliation:
School of Mechanical Engineering, University of Adelaide, Adelaide, South Australia5005
Martin F. Lambert
Affiliation:
School of Civil, Environmental and Mining Engineering, University of Adelaide, Adelaide, South Australia5005
Rey C. Chin
Affiliation:
School of Mechanical Engineering, University of Adelaide, Adelaide, South Australia5005
*
†Email address for correspondence: byron.guerrerohinojosa@adelaide.edu.au
Get access Rights & Permissions [Opens in a new window]

Abstract

The transient dynamics of accelerating turbulent pipe flow has been examined using direct numerical simulation (DNS) data sets with a high spatiotemporal resolution, starting from low and moderate Reynolds numbers. The time-dependent evolution of the mean flow dynamics reveals that internal flows, during and after a rapid increase in the flow rate, experience four unambiguous transient stages: inertial, pre-transition, transition and core relaxation before they reach their final steady-state. The first stage is characterised by a rapid and substantial increment in the viscous forces within the viscous sublayer, together with the frozen behaviour of the existing turbulent eddies. The pre-transitional stage reveals a weak response of the turbulent inertia within the near-wall region, together with a rapid reduction in the viscous forces. At the third stage, termed transition, balanced growth in the magnitude of both the turbulent and the viscous forces within $y^{+0} \lesssim 50$ is observed. The final stage, referred to as core relaxation, shows a quasi-steady behaviour at $y^{+0} < 50$ and reveals the slow propagation of turbulence from the near-wall region into the wake region. A decomposition of the skin friction coefficient ($C_f$), using an FIK identity suitable for unsteady pipe flow, shows a progressive increment in the turbulent contribution during the core-relaxation period. Simultaneously, the unsteady contribution decreases proportionally, maintaining a plateau in $C_f$. The principal mechanism responsible for this slow regeneration in the wake is a temporal turbulence stratification at the inner region of the flow, together with a quiescent core, which maintains geometric coherence across extensive periods.

JFM classification

Turbulent Flows: Pipe flow Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent transition
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 917 , 25 June 2021 , A43
Check for updates
Copyright
© The Author(s), 2021. Published by 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

REFERENCES

Adrian, R., Meinhart, C. & Tomkins, C. 2000 Vortex organization in the outer region of the turbulent boundary layer. J. Fluid Mech. 422, 1–54.CrossRefGoogle Scholar
Annus, I. & Koppel, T. 2011 Transition to turbulence in accelerating pipe flow. Trans. ASME J. Fluids Engng 133, 071202.CrossRefGoogle Scholar
Avila, K., Moxey, D., de Lozar, A., Avila, M., Barkley, D. & Hof, B. 2011 The onset of turbulence in pipe flow. Science 333 (6039), 192–196.CrossRefGoogle ScholarPubMed
Chin, C. 2011 Numerical study of internal wall-bounded turbulent flows. PhD thesis, The University of Melbourne.Google Scholar
Chin, C., Philip, J., Klewicki, J., Ooi, A. & Marusic, I. 2014 Reynolds-number-dependent turbulent inertia and onset of log region in turbulent pipe flows. J. Fluid Mech. 757, 747–769.CrossRefGoogle Scholar
Dey, S. & Lambert, M.F. 2005 Reynolds stress and bed shear in nonuniform unsteady open-channel flow. J. Hydraul. Engng ASCE 131, 610–614.CrossRefGoogle Scholar
Fischer, P., Lottes, J. & Kerkemeier, S. 2019 Nek5000, Web page https://nek5000.mcs.anl.gov.Google Scholar
Fukagata, K., Iwamoto, K. & Kasagi, N. 2002 Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14, L73–L76.CrossRefGoogle Scholar
Greenblatt, D. & Moss, E. 1999 Pipe-flow relaminarization by temporal acceleration. Phys. Fluids 11, 3478.CrossRefGoogle Scholar
Greenblatt, D. & Moss, E. 2004 Rapid temporal acceleration of a turbulent pipe flow. J. Fluid Mech. 514, 65–75.CrossRefGoogle Scholar
Guerrero, B., Lambert, M.F. & Chin, R.C. 2020 Extreme wall shear stress envents in turbulent pipe flows: spatial characteristics of coherent motions. J. Fluid Mech. 904, A18.CrossRefGoogle Scholar
He, K., Seddighi, M. & He, S. 2016 DNS study of a pipe flow following a step increase in flow rate. Intl J. Heat Fluid Flow 57, 130–141.CrossRefGoogle Scholar
He, S., Ariyaratne, C. & Vardy, A.E. 2011 Wall shear stress in accelerating turbulent pipe flow. J. Fluid Mech. 685, 440–460.CrossRefGoogle Scholar
He, S. & Jackson, J.D. 2000 A study of turbulence under conditions of transient flow in a pipe. J. Fluid Mech. 408, 1–38.CrossRefGoogle Scholar
He, S. & Seddighi, M. 2013 Turbulence in transient channel flow. J. Fluid Mech. 715, 60–102.CrossRefGoogle Scholar
He, S. & Seddighi, M. 2015 Transition of transient channel flow after a change in Reynolds number. J. Fluid Mech. 764, 395–427.CrossRefGoogle Scholar
Head, M.R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297–338.CrossRefGoogle Scholar
Hof, B., de Lozar, A., Avila, M., Tu, X. & Schneider, T. 2010 Eliminating turbulence in spatially intermittent flows. Science 327 (5972), 1491–1494.CrossRefGoogle ScholarPubMed
Jeong, J. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69–94.CrossRefGoogle Scholar
Jung, S. & Chung, Y. 2012 Large-eddy simulation of accelerated turbulent flow in a circular pipe. Intl J. Heat Fluid Flow 33, 1–8.CrossRefGoogle Scholar
Jung, S. & Kim, K. 2017 Transient behaviors of wall turbulence in temporally accelerating channel flows. Intl J. Heat Fluid Flow 67, 13–26.CrossRefGoogle Scholar
Kasagi, N. & Fukagata, K. 2006 The FIK Identity and its Implication for Turbulent Skin Friction Control, chap. 10, pp. 297–324. World Scientific Publishing.Google Scholar
Klewicki, J., Chin, C., Blackburn, H.M., Ooi, A. & Marusic, I. 2012 Emergence of the four layer dynamical regime in turbulent pipe flow. Phys. Fluids 24, 045107.CrossRefGoogle Scholar
Kurokawa, J. & Morikawa, M. 1986 Accelerated and decelerated flows in a circular pipe. Bull. JSME 29, 758–765.CrossRefGoogle Scholar
Kwon, Y.S., Philip, J., de Silva, C.M., Hutchins, N. & Monty, J.P. 2014 The quiescent core of turbulent channel flow. J. Fluid Mech. 751, 225–254.CrossRefGoogle Scholar
Maruyama, T., Kuribayashi, T. & Mizushina, T. 1976 The structure of the turbulence in transient pipe flows. J. Chem. Engng Japan 9, 431–439.CrossRefGoogle Scholar
Mathur, A. 2016 Study of accelerating and decelerating turbulent flows in a channel. PhD thesis, The University of Sheffield.Google Scholar
Mathur, A., Gorji, S., He, S., Seddighi, M., Vardy, A.E., O'Donoghue, T. & Pokrajac, D. 2018 Temporal acceleration of a turbulent channel flow. J. Fluid Mech. 835, 471–490.CrossRefGoogle Scholar
Perry, A.E. & Chong, M.S. 1982 On the mechanism of wall turbulence. J. Fluid Mech. 119, 173–217.CrossRefGoogle Scholar
Scotti, A. & Piomelli, U. 2001 Numerical simulation of pulsating turbulent channel flow. Phys. Fluids 13, 1367.CrossRefGoogle Scholar
Seddighi, M., He, S., Vardy, A.E. & Orlandi, P. 2013 Direct numerical simulation of an accelerating channel flow. Flow Turbul. Combust. 92, 473–502.CrossRefGoogle Scholar
de Silva, C., Hutchins, N. & Marusic, I. 2016 Uniform momentum zones in turbulent boundary layers. J. Fluid Mech. 786, 309–331.CrossRefGoogle Scholar
da Silva, C., dos Reis, R. & Pereira, J. 2011 The intense vorticity structures near the turbulent/non-turbulent interface in a jet. J. Fluid Mech. 685, 165–190.CrossRefGoogle Scholar
Sundstrom, L. & Cervantes, M. 2017 The self-similarity of wall-bounded temporally accelerating turbulent flows. J. Turbul. 19, 49–60.CrossRefGoogle Scholar
Vardy, A. & Brown, J. 2003 Transient turbulent friction in smooth pipe flows. J. Sound Vib. 259, 1011–1036.CrossRefGoogle Scholar
Vardy, A., Brown, J., He, S., Ariyaratne, C. & Gorji, S. 2015 Applicability of frozen-viscosity models of unsteady wall shear stress. J. Hydraul. Engng ASCE 141, 04014064.CrossRefGoogle Scholar
Wei, T., Fife, P., Klewicki, J. & McMurtry, P. 2005 Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows. J. Fluid Mech. 522, 303–327.CrossRefGoogle Scholar
Wu, X., Moin, P., Adrian, R.J. & Baltzer, J.R. 2015 Osborne Reynolds pipe flow: direct simulation from laminar through gradual transition to fully developed turbulence. Proc. Natl Acad. Sci. USA 112, 7920–7924.CrossRefGoogle ScholarPubMed
Yang, J., Hwang, J. & Sung, H. 2019 Influence of wall-attached structures on the boundary of the quiescent core region in turbulent pipe flow. Phys. Rev. Fluids 4, 114606.CrossRefGoogle Scholar