Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-18T12:34:58.478Z Has data issue: false hasContentIssue false
  • English
  • Français

Tomographic PIV investigation of vortex shedding topology for a cantilevered circular cylinder

Published online by Cambridge University Press:  18 November 2021

R.J. Crane ,
A.R. Popinhak Open the ORCID record for A.R. Popinhak [Opens in a new window] ,
R.J. Martinuzzi Open the ORCID record for R.J. Martinuzzi [Opens in a new window]  and
C. Morton Open the ORCID record for C. Morton [Opens in a new window]
R.J. Crane
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada
A.R. Popinhak
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada
R.J. Martinuzzi
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada
C. Morton*
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada
*
†Email address for correspondence: chris.morton@ucalgary.ca
Get access Rights & Permissions [Opens in a new window]

Abstract

The wake of a finite wall-mounted circular cylinder of diameter $D$ and height $H$ is investigated for aspect ratios $3\leq H/D \leq 7$ and boundary layer thickness of $\delta /D \approx 0.98$ using tomographic particle image velocimetry. The Reynolds number based on $D$ is $Re = 750$. The mean wake topology is related to the evolution of the periodically shed vortices, educed from a low-order representation based on proper orthogonal decomposition of the three-dimensional velocity field. The main topological features are an arch vortex, defining the recirculating base region, and a quadrupole structure consisting of two pairs of opposite-sign vorticity concentrations extending downstream behind the obstacle-free end and wall junction. The quadrupole is the time-averaged signature of shed vortices. Vortex-tilting terms in the base region act to reorient flow-normal vorticity components streamwise, resulting in the reorientation of the ends of vortices initially shed parallel to the cylinder side walls. Through the action of the vortex-stretching terms, the bent ends connect successive vortices in a continuous chain. The influence of $H/D$ on the development of the quadrupole is characterized. The results demonstrate that the quadrupole in the mean field emerges as an imprint of the shed full-loop structures. This work reconciles mean and instantaneous interpretations satisfying the solenoidal condition on the vorticity field.

JFM classification

Wakes/Jets: Separated flows Wakes/Jets: Wakes Vortex Flows: Vortex shedding
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 931 , 25 January 2022 , R1
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

Bourgeois, J.A., Noack, B.R. & Martinuzzi, R.J. 2013 Generalized phase average with applications to sensor-based flow estimation of the wall-mounted square cylinder wake. J. Fluid Mech. 736, 316–350.CrossRefGoogle Scholar
Bourgeois, J.A., Sattari, P. & Martinuzzi, R.J. 2011 Alternating half-loop shedding in the turbulent wake of a finite surface-mounted square cylinder with a thin boundary layer. Phys. Fluids 23, 095101.CrossRefGoogle Scholar
El Hassan, M., Bourgeois, J. & Martinuzzi, R. 2015 Boundary layer effect on the vortex shedding of wall-mounted rectangular cylinder. Exp. Fluids 56, 33.CrossRefGoogle Scholar
Essel, E.E., Tachie, M.F. & Balachandar, R. 2021 Time-resolved wake dynamics of finite wall-mounted circular cylinders submerged in a turbulent boundary layer. J. Fluid Mech. 917, A8.CrossRefGoogle Scholar
Hosseini, Z., Bourgeois, J.A. & Martinuzzi, R.J. 2013 Large-scale structures in dipole and quadrupole wakes of a wall-mounted finite rectangular cylinder. Exp. Fluids 54, 1595.CrossRefGoogle Scholar
Hosseini, Z., Martinuzzi, R.J. & Noack, B.R. 2015 Sensor-based estimation of the velocity in the wake of a low-aspect-ratio pyramid. Exp. Fluids 56, 13.CrossRefGoogle Scholar
Hunt, J.C.R., Wray, A.A. & Moin, P. 1988 Eddies, streams, and convergence zones in turbulent flows. Tech. Rep. CTR-S88. Center for Turbulence Research.Google Scholar
Igarashi, T. 1985 Heat transfer from a square prism to an air stream. J. Heat Mass Transfer 28, 175–181.CrossRefGoogle Scholar
Kindree, M.G., Shahroodi, M. & Martinuzzi, R.J. 2018 Low-frequency dynamics in the turbulent wake of cantilevered square and circular cylinders protruding a thin laminar boundary layer. Exp. Fluids 59, 186.CrossRefGoogle Scholar
Krajnović, S. 2011 Flow around a tall finite cylinder explored by large eddy simulation. J. Fluid Mech. 676, 294–317.CrossRefGoogle Scholar
Kuwamura, T., Hiwada, M., Hibino, T., Mabuchi, I. & Kumada, M. 1984 Flow around finite circular cylinder on a flat plate. Bull. JSME 27, 2142–2151.CrossRefGoogle Scholar
Morton, C., Yarusevych, S. & Scarano, F. 2016 A tomographic particle image velocimetry investigation of the flow development over dual step cylinders. Phys. Fluids 28, 025104.CrossRefGoogle Scholar
Novara, M., Batenburg, K.J. & Scarano, F. 2010 Motion tracking-enhanced MART for tomographic PIV. Meas. Sci. Technol. 21, 035401.CrossRefGoogle Scholar
Palau-Salvador, G., Stoesser, T., Fröhlich, J., Kappler, M. & Rodi, W. 2010 Large eddy simulations and experiments of flow around finite-height cylinders. Flow Turbul. Combust. 84, 239–275.CrossRefGoogle Scholar
Park, C.W. & Lee, S.J. 2000 Free end effects on the near wake flow structure behind a finite circular cylinder. J. Wind Engng Ind. Aerodyn. 88, 231–246.CrossRefGoogle Scholar
Pattenden, R.J., Turnock, S.R. & Zhang, X. 2005 Measurements of the flow over a low-aspect-ratio cylinder mounted on a ground plane. Exp. Fluids 39, 10–21.CrossRefGoogle Scholar
Porteous, R. & Moreau, D.J. 2014 A review of flow-induced noise from finite wall-mounted cylinders. J. Fluids Struct. 51, 240–254.CrossRefGoogle Scholar
Rostamy, N., Sumner, D., Bergstrom, D.J. & Bugg, J.D. 2012 Local flow field of a surface-mounted finite circular cylinder. J. Fluids Struct. 34, 105–122.CrossRefGoogle Scholar
Sau, A., Hwang, R.R., Sheu, T.W.H. & Yang, W.C. 2003 Interaction of trailing vortices in the wake of a wall-mounted rectangular cylinder. Phys. Rev. E 68, 056303.CrossRefGoogle ScholarPubMed
Scarano, F. 2012 Tomographic PIV: principles and practice. Meas. Sci. Technol. 24, 012001.CrossRefGoogle Scholar
Sumner, D., Heseltine, J.L. & Dansereau, O.J.P. 2004 Wake structure of a finite circular cylinder of small aspect ratio. Exp. Fluids 37, 720–730.CrossRefGoogle Scholar
Uffinger, T., Ali, I. & Becker, S. 2013 Experimental and numerical investigations of the flow around three different wall-mounted cylinder geometries of finite length. J. Wind Engng Ind. Aerodyn. 119, 13–27.CrossRefGoogle Scholar
Van Oudheusden, B.W., Scarano, F., Van Hinsberg, N.P. & Watt, D.W. 2005 Phase-resolved characterization of vortex shedding in the near wake of a square-section cylinder at incidence. Exp. Fluids 39, 86–98.CrossRefGoogle Scholar
Vincent, J.H. 1977 Model experiments on the nature of air pollution transport near buildings. Atmos. Environ. 11, 765–774.CrossRefGoogle Scholar
Wang, H.F. & Zhou, Y. 2009 The finite-length square cylinder near wake. J. Fluid Mech. 638, 453–490.CrossRefGoogle Scholar
Wang, H.F., Zhou, Y., Chan, C.K. & Lam, K.S. 2006 Effect of initial conditions on interaction between a boundary layer and a wall-mounted finite-length-cylinder wake. Phys. Fluids 18, 065106.CrossRefGoogle Scholar
Yauwenas, Y., Porteous, R., Moreau, D.J. & Doolan, C.J. 2019 The effect of aspect ratio on the wake structure of finite wall-mounted square cylinders. J. Fluid Mech. 875, 929–960.CrossRefGoogle Scholar
Zhang, D., Cheng, L., An, H. & Zhao, M. 2017 Direct numerical simulation of flow around a surface-mounted finite square cylinder at low Reynolds numbers. Phys. Fluids 29, 045101.CrossRefGoogle Scholar
Zhu, H.Y., Wang, C.Y., Wang, H.P. & Wang, J.J. 2017 Tomographic PIV investigation on 3D wake structures for flow over a wall-mounted short cylinder. J. Fluid Mech. 831, 743–778.CrossRefGoogle Scholar

Crane et al. supplementary movie 1

See word file for movie caption

Download Crane et al. supplementary movie 1(Video)
Video 27 MB

Crane et al. supplementary movie 2

See word file for movie caption

Download Crane et al. supplementary movie 2(Video)
Video 27 MB

Crane et al. supplementary movie 3

See word file for movie caption

Download Crane et al. supplementary movie 3(Video)
Video 40.7 MB
Supplementary material: File

Crane et al. supplementary material

Captions for movies 1-3

Download Crane et al. supplementary material(File)
File 12.6 KB