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Tomographic PIV investigation on 3D wake structures for flow over a wall-mounted short cylinder

  • Hang-Yu Zhu (a1), Cheng-Yue Wang (a1), Hong-Ping Wang (a1) and Jin-Jun Wang (a1)


Tomographic particle image velocimetry (TPIV) measurement with six high-resolution charge-coupled device (CCD) cameras is conducted to investigate flow structures over a finite circular cylinder with an aspect ratio of 2 ( $h/d=2$ ). This short wall-mounted cylinder is fully immersed in a thick turbulent boundary layer ( $\unicode[STIX]{x1D6FF}/h=1.025$ ). Focus is placed on the three-dimensional instantaneous vortex structures and their dynamic characteristics in the wake flow fields. Based on the present results, a refined topological model of the mean wake field behind the finite circular cylinder is proposed, where the spatial locations of the typical vortex structures and their interactions are described in more detail. Among the reported typical vortex structures (i.e. the horseshoe, tip, base, trailing and arch vortex), emphasis is laid on discussion of the tip and arch vortex. The instantaneous 3D M-shape arch vortex and an alternating large-scale streamwise vortex are first found in the present experiment, and their developments are also discussed. Therefore, it is suggested that the instantaneous finite-cylinder wake is dominated by the arch vortex system and the large-scale streamwise vortices. Moreover, in the instantaneous volumetric flow fields, both the antisymmetric and the symmetric wake behaviours are observed. With proper orthogonal decomposition (POD) analysis, the dynamic characteristics of the wake field are clarified. Different from the flow around an infinite cylinder without control, the third and fourth POD modes are characterized by low-frequency symmetric shedding. The low-frequency feature shown in the second mode pair is observed and associated with the occurrence of instantaneous symmetric 3D wake behaviour triggered by the low-aspect-ratio effect and the extension of the separated shear layer. The low frequency seems be attributed to the flapping phenomenon, i.e. oscillation of the recirculation in the backward-facing step flow. It is found that the flapping motion has a modulating effect on the occurrence of the antisymmetric shedding vortex and thus the large-scale streamwise vortex.


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Adaramola, M. S., Akinlade, O. G., Sumner, D., Bergstrom, D. J. & Schenstead, A. J. 2006 Turbulent wake of a finite circular cylinder of small aspect ratio. J. Fluid Struct. 22, 919928.
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, 316350.
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.
Chatterjee, A. 2000 An introduction to the proper orthogonal decomposition. Curr. Sci. 78, 171174.
Eaton, J. K. & Johnston, J.1980 Turbulent flow reattachment: an experimental study of the flow and structure behind a backward-facing step. Tech. Rep. MD-39. Thermosciences Division, Department of Mechanical Engineering, Stanford University.
Elsinga, G. E., Scarano, F., Wieneke, B. & van Oudheusden, B. W. 2006 Tomographic particle image velocimetry. Exp. Fluids 41, 933947.
Etzold, F. & Fiedler, H. 1976 The near-wake structure of a cantilevered cylinder in a cross-flow. Z. Flugwiss. 24, 7782.
Feng, L. H., Wang, J. J. & Pan, C. 2011 Proper orthogonal decomposition analysis of vortex dynamics of a circular cylinder under synthetic jet control. Phys. Fluids 23 (1), 014106.
Frederich, O., Wassen, E., Thiele, F., Jensch, M., Brede, M., Hüttmann, F. & Leder, A. 2008 Numerical simulation of the flow around a finite cylinder with ground plate in comparison to experimental measurements. In New Results in Numerical and Experimental Fluid Mechanics VI (ed. Tropea, C., Jakirlic, S., Heinemann, H.-J., Henke, R. & Hönlinger, H.), pp. 348355. Springer.
Friedrich, R. & Arnal, M. 1990 Analysing turbulent backward-facing step flow with the lowpass-filtered Navier–Stokes equations. J. Wind Engng Ind. Aerodyn. 35, 101128.
Fröhlich, J. & Rodi, W. 2004 LES of the flow around a circular cylinder of finite height. Intl J. Heat Fluid Flow 25, 537548.
Haimes, R. & Kenwright, D. 1999 On the velocity gradient tensor and fluid feature extraction. In 14th AIAA Computational Fluid Dynamics Conference, June, 1999, Norfolk, VA, USA, American Institute of Aeronautics and Astronautics.
Hain, R., Kähler, C. J. & Michaelis, D. 2008 Tomographic and time resolved PIV measurements on a finite cylinder mounted on a flat plate. Exp. Fluids 45, 715724.
Hassan, M. E., Bourgeois, J. & Martinuzzi, R. 2015 Boundary layer effect on the vortex shedding of wall-mounted rectangular cylinder. Exp. Fluids 56, 119.
He, G.-S., Pan, C., Feng, L.-H., Gao, Q. & Wang, J.-J. 2016 Evolution of Lagrangian coherent structures in a cylinder-wake disturbed flat plate boundary layer. J. Fluid Mech. 792, 274306.
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, 116.
Hunt, J. C., Wray, A. A. & Moin, P.1988 Eddies, streams, and convergence zones in turbulent flows. Tech. Rep. CTR-S88. Center for Turbulence Research.
Kawamura, T., Hiwada, M., Hibino, T., Mabuchi, I. & Kumada, M. 1984 Flow around a finite circular cylinder on a flat plate (cylinder height greater than turbulent boundary layer thickness). Bull. JSME 27, 21422151.
Krajnović, S. 2011 Flow around a tall finite cylinder explored by large eddy simulation. J. Fluid Mech. 676, 294317.
Le, H., Moin, P. & Kim, J. 1997 Direct numerical simulation of turbulent flow over a backward-facing step. J. Fluid Mech. 330, 349374.
Leder, A. 2003 3D-flow structures behind truncated circular cylinders. In Proceedings of the Fluids Engineering Division Summer Meeting (FEDSM 2003) at 4th ASME/JSME Joint Fluids Summer Engineering Conference 6–10 July, 2003, Honolulu, Hawaii, American Society of Mechanical Engineers.
Lee, L. W. 1997 Wake structure behind a circular cylinder with a free end. Proc. Heat Transfer Fluid Mech. Inst. 35, 241251.
Ma, L. Q., Feng, L. H., Pan, C., Gao, Q. & Wang, J. J. 2015 Fourier mode decomposition of PIV data. Sci. China Technol. Sc. 58, 19351948.
Moazamigoodarzi, N., Bergstrom, D., Einian, M. & Sumner, D. 2014 Phase average visualization of a finite cylinder wake as predicted by large eddy simulation. In Fluid-Structure-Sound Interactions and Control, pp. 7176. Springer.
Noack, B. R., Afanasiev, K., Morzyński, M., Tadmor, G. & Thiele, F. 2003 A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. J. Fluid Mech. 497, 335363.
van Oudheusden, B. W., Scarano, F., 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, 8698.
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, 239275.
Park, C. W. & Lee, S. J. 2002 Flow structure around a finite circular cylinder embedded in various atmospheric boundary layers. Fluid Dyn. Res. 30, 197215.
Pattenden, R. J., Turnock, S. R. & Zhang, X. 2005 Measurements of the flow over a low-aspect. Exp. Fluids 39, 1021.
Porteous, R., Moreau, D. J. & Doolan, C. J. 2014 A review of flow-induced noise from finite wall-mounted cylinders. J. Fluid Struct. 51, 240254.
Prasad, A. K. & Jensen, K. 1995 Scheimpflug stereocamera for particle image velocimetry in liquid flows. Appl. Opt. 34, 70927099.
Qu, Y., Wang, J.-J., Sun, M., Feng, L.-H., Pan, C., Gao, Q. & He, G.-S. 2017 Wake vortex evolution of square cylinder with a slot synthetic jet positioned at the rear surface. J. Fluid Mech. 812, 940965.
Roh, S. & Park, S. 2003 Vortical flow over the free end surface of a finite circular cylinder mounted on a flat plate. Exp. Fluids 34, 6367.
Saeedi, M., Lepoudre, P. P. & Wang, B. C. 2014 Direct numerical simulation of turbulent wake behind a surface-mounted square cylinder. J. Fluid Struct. 51, 2039.
Saeedi, M. & Wang, B.-C. 2016 Large-eddy simulation of turbulent flow around a finite-height wall-mounted square cylinder within a thin boundary layer. Flow Turbul. Combust. 126.
Sakamoto, H. & Arie, M. 1983 Vortex shedding from a rectangular prism and a circular cylinder placed vertically in a turbulent boundary layer. J. Fluid Mech. 126, 147165.
Sattari, P., Bourgeois, J. A. & Martinuzzi, R. J. 2012 On the vortex dynamics in the wake of a finite surface-mounted square cylinder. Exp. Fluids 52, 11491167.
Scarano, F. 2002 Iterative image deformation methods in PIV. Meas. Sci. Technol. 13, R1R19.
Scarano, F. 2013 Tomographic PIV: principles and practice. Meas. Sci. Technol. 24, 012001.
Schäfer, F., Breuer, M. & Durst, F. 2009 The dynamics of the transitional flow over a backward-facing step. J. Fluid Mech. 623, 85119.
Sujudi, D. & Haimes, R.1995 Identification of swirling flow in 3D vector fields. AIAA Paper 95-1715.
Sumner, D. & Heseltine, J. L. 2008 Tip vortex structure for a circular cylinder with a free end. J. Wind Engng Ind. Aerodyn. 96, 11851196.
Sumner, D., Heseltine, J. L. & Dansereau, O. J. P. 2004 Wake structure of a finite circular cylinder of small aspect ratio. Exp. Fluids 37, 720730.
Tadmor, G., Lehmann, O., Noack, B. R. & Morzyński, M. 2010 Mean field representation of the natural and actuated cylinder wake. Phys. Fluids 22, 034102.
Tsutsui, T. 2012 Flow around a cylindrical structure mounted in a plane turbulent boundary layer. J. Wind Engng Ind. Aerodyn. 104–106, 239247.
Wang, C. Y., Gao, Q., Wang, H. P., Wei, R. J., Li, T. & Wang, J. J. 2016a Divergence-free smoothing for volumetric PIV data. Exp. Fluids 57, 123.
Wang, C. Y., Gao, Q., Wei, R. J., Li, T. & Wang, J. J. 2016b 3D flow visualization and tomographic particle image velocimetry for vortex breakdown over a non-slender delta wing. Exp. Fluids 57, 113.
Wang, H. F., Cao, H. L. & Zhou, Y. 2014a POD analysis of a finite-length cylinder near wake. Exp. Fluids 55, 115.
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, 24512466.
Wang, H. F. & Zhou, Y. 2009 The finite-length square cylinder near wake. J. Fluid Mech. 638, 453490.
Wang, Y. Q., Jackson, P. L. & Sui, J. 2014b Simulation of turbulent flow around a surface-mounted finite square cylinder. J. Thermophys Heat Transfer 28, 118132.
Wieneke, B. 2008 Volume self-calibration for 3D particle image velocimetry. Exp. Fluids 45, 549556.
Zhou, J., Adrian, R. J., Balachandar, S. & Kendall, T. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353396.
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Tomographic PIV investigation on 3D wake structures for flow over a wall-mounted short cylinder

  • Hang-Yu Zhu (a1), Cheng-Yue Wang (a1), Hong-Ping Wang (a1) and Jin-Jun Wang (a1)


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