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Role of flow reversals in transition to turbulence and relaminarization of pulsatile flows

Published online by Cambridge University Press:  26 April 2021

Joan Gomez ,
Huidan Yu  and
Yiannis Andreopoulos Open the ORCID record for Yiannis Andreopoulos [Opens in a new window]
Joan Gomez
Affiliation:
Department of Mechanical Engineering, The City College of New York, 160 Convent Av., New York, NY10031, USA
Huidan Yu
Affiliation:
Department of Mechanical and Energy Engineering, Indiana University-Purdue University, Indianapolis, IN46202, USA Department of Surgery, School of Medicine, Indiana University, Indianapolis, IN46202, USA
Yiannis Andreopoulos*
Affiliation:
Department of Mechanical Engineering, The City College of New York, 160 Convent Av., New York, NY10031, USA
*
† Email address for correspondence: [email protected]
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Abstract

The instability and transition to turbulence and its evolution in pulsatile flows, which involve reverse flows and unsteady flow separations, is the primary focus of this experimental work. A piston driven by a programmable DC servo motor was used to set-up a water flow system and provide the pulsation characteristics. Time-resolved particle image velocimetry data were acquired in a refractive index matching set-up by using a continuous wave laser and a high-frame-rate digital camera. The position of the piston was continuously recorded by a laser proximity sensor. Five different experiments were carried out with Reynolds numbers in the range of 535–4825 and Womersley numbers from 11.91 to 23.82. The non-stationarity of the data was addressed by incorporating trend removal methods involving low- and high-pass filtering of the data, and using empirical mode decomposition together with the relevant Hilbert–Huang transform to determine the intrinsic mode functions. This latter method is more appropriate for nonlinear and non-stationary cases, for which traditional analysis involving classical Fourier decomposition is not directly applicable. It was found that transition to turbulence is a spontaneous event covering the whole near-wall region. The instantaneous vorticity profiles show the development of a large-scale ring-like attached wall vortical layer (WVL) with smaller vortices of higher frequencies than the pulsation frequency superimposed, which point to a shear layer Kelvin–Helmholtz (K–H) type of instability. Inflectional instability leads to flow separation and the formation of a major roll-up structure with the K–H vortices superimposed. This structure breaks down in the azimuthal direction into smaller turbulence patches with vortical content, which appears to be the prevailing structural content of the flow at each investigated Reynolds number (Re). At higher Re numbers, the strength and extent of the vortices are larger and substantial disturbances appear in the free stream region of the flow, which are typical of pipe flows at transitional Re numbers. Turbulence appears to be produced at the locations of maximum or minimum vorticity within the attached WVL, in the ridges between the K–H vortices around the separated WVL and the upstream side of the secondary vortex where the flow impinges on the wall. This wall turbulence breaks away into the middle section of the pipe, at approximately $Re \ge 2200$, by strong eruptions of the K–H vortices.

JFM classification

Boundary Layers: Boundary layer stability Boundary Layers: Pipe flow boundary layer Instability: Transition to turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 917 , 25 June 2021 , A27
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Andreopoulos, J. 1985 On the structure of jets in a crossflow. J. Fluid Mech. 157, 163–197.CrossRefGoogle Scholar
Andreopoulos, J. & Bradshaw, P. 1980 Measurements of interacting turbulent shear layers in the near wake of a flat plate. J. Fluid Mech. 100, 639–668.CrossRefGoogle Scholar
Atabek, H.B. & Chang, C.C. 1961 Oscillatory flow near the entry of a circular tube. J. Appl. Math. Phys. 12, 185–201.Google 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
Bendat, J.S. & Piersol, A.G. 1980 Engineering Applications of Correlation and Spectral Analysis. Wiley.Google Scholar
Brindise, M.C. & Vlachos, P.P. 2018 Pulsatile pipe flow transition: flow waveform effects. Phys. Fluids 30, 115111.CrossRefGoogle Scholar
Charonko, J.J. & Vlachos, P.P. 2013 Estimation of uncertainty bounds for individual particle image velocimetry measurements from cross-correlation peak ratio. Meas. Sci. Technol. 24, 065301.CrossRefGoogle Scholar
Das, D. & Arakeri, J.H. 1998 Transition of unsteady velocity profiles with reverse flow. J. Fluid Mech. 374, 251–283.CrossRefGoogle Scholar
Durst, F. & Ünsal, B. 2006 Forced laminar-to-turbulent transition of pipe flows. J. Fluid Mech. 560, 449–464.CrossRefGoogle Scholar
Eckhardt, B., Schneider, T.M., Hof, B. & Westerweel, J. 2007 Turbulence transition in pipe flow. Annu. Rev. Fluid Mech. 39, 447–468.CrossRefGoogle Scholar
Eckmann, D.M. & Grotberg, J.B. 1991 Experiments on transition to turbulence in oscillatory pipe flow. J. Fluid Mech. 222, 329–350.CrossRefGoogle Scholar
Falsetti, H.L., Carroll, R.J., Swope, R.D. & Chen, C.J. 1983 Turbulent blood flow in the ascending aorta of dogs. Cardiovascular Res. 17, 427–436.CrossRefGoogle ScholarPubMed
Fedele, F., Hitt, D.L. & Prabhu, R.D. 2005 Revisiting the stability of pulsatile pipe flow. Eur. J. Mech. (B/Fluids) 24, 237–254.CrossRefGoogle Scholar
Hershey, D. & Im, C.S. 1968 Critical Reynolds number for sinusoidal flow of water in rigid tubes. AIChE J. 14 (5), 807–809.CrossRefGoogle Scholar
Hof, B., Juel, A. & Mullin, T. 2003 Scaling of the turbulence transition threshold in a pipe. Phys. Rev. Lett. 91, 244502.CrossRefGoogle Scholar
Huang, N.E., Shen, Z. & Long, S.R. 1999 A new view of nonlinear water waves: the Hilbert spectrum. Annu. Rev. Fluid Mech. 31 (1), 417–457.CrossRefGoogle Scholar
Huang, N.E., Shen, Z., Long, S.R. & Liu, H.H. 1998 The empirical mode decomposition and the Hubert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. Lond. A 454, 903–995.CrossRefGoogle Scholar
Ku, D.N. 1997 Blood flow in arteries. Annu. Rev. Fluid Mech. 29, 399–434.CrossRefGoogle Scholar
Morkovin, M.V. 1985 Bypass transition to turbulence and research desiderata. Trans. Turbines NASA Conf. Publ. 2386, 161–211.Google Scholar
Mullin, T. 2011 Experimental studies of transition to turbulence in a pipe. Annu. Rev. Fluid Mech. 43, 1–24.CrossRefGoogle Scholar
Nayak, A. & Das, D. 2006 Three-dimensional temporal instability of unsteady pipe flow. In International Conference of Boundary and Interior Layers, Kanpur, India.Google Scholar
Nerem, R.M. & Seed, W.A. 1972 An in vivo study of aortic flow disturbances. Cardiovascular Res. 6, 1–14.CrossRefGoogle Scholar
Sears, W.R. & Telionis, D.P. 1975 Boundary-layer separation in unsteady flow. SIAM J. Appl. Maths 28 (1), 215–235.CrossRefGoogle Scholar
Slezkin, N.A. 1955 Viscous Incompressible Fluid Dynamics [In Russian]. Gostekhizdat.Google Scholar
Stettler, J.C. & Fazle Hussain, A.K.M. 1986 On transition of the pulsatile pipe flow. J. Fluid Mech. 170, 169–197.CrossRefGoogle Scholar
Telionis, D.P. 1981 Unsteady Viscous Flows. Springer-Verlag Berlin Heidelberg.CrossRefGoogle Scholar
Trip, R., Kuik, D.J., Westerweel, J. & Poelma, C. 2012 An experimental study of transitional pulsatile pipe flow. Phys. Fluids 24, 014103.CrossRefGoogle Scholar
Womersley, J.R. 1955 Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J. Physiol. 127, 553–563.CrossRefGoogle ScholarPubMed
Wu, Z. & Huang, N.E. 2009 Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv. Adaptive Data Anal. 1 (1), 1–41.CrossRefGoogle Scholar
Wygnanski, I.J. & Champagne, F.H. 1973 On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug. J. Fluid Mech. 59, 281–335.CrossRefGoogle Scholar
Xanthos, S., Gong, M. & Andrepoulos, Y. 2007 Velocity and vorticity in weakly compressible isotropic turbulence under longitudinal expansive straining. J. Fluid Mech. 584, 301–335.CrossRefGoogle Scholar
Xu, D., Warnecke, S., Song, B., Ma, X. & Hof, B. 2017 Transition to turbulence in pulsating pipe flow. J. Fluid Mech. 831, 418–432.CrossRefGoogle Scholar
Yokota, S. & Nakano, K. 1980 Oscillatory flow in the inlet region of a circular tube the 2nd report: An approximate solution and the unsteady viscous friction coefficient [in Japanese]. Hydraul. Pneumatics 11 (2), 105–122.CrossRefGoogle Scholar

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