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Time-resolved wake dynamics of finite wall-mounted circular cylinders submerged in a turbulent boundary layer

Published online by Cambridge University Press:  21 April 2021

Ebenezer E. Essel*
Affiliation:
Department of Civil and Environmental Engineering, University of Windsor, Windsor, ONN9B 3P4, Canada
Mark F. Tachie
Affiliation:
Department of Mechanical Engineering, University of Manitoba, Winnipeg, MBR3T 5V6, Canada
Ram Balachandar
Affiliation:
Department of Civil and Environmental Engineering, University of Windsor, Windsor, ONN9B 3P4, Canada
*
Email address for correspondence: ebenezer.essel@uwindsor.ca

Abstract

The unsteady flow separation and wake dynamics around finite wall-mounted circular cylinders fully immersed in a turbulent boundary layer (TBL) are investigated experimentally using a time-resolved particle image velocimetry (TR-PIV) system. The cylinder aspect ratios (h/d = 0.7–7.0, where h and d are the height and diameter of the cylinder, respectively) and the relative boundary layer thickness (δ/d = 8.7, where δ is the boundary layer thickness) were chosen to systematically investigate the effects of submergence ratio (δ/h = 1.2–12.4) using δ/h values much larger than that reported in the literature. With δ/h > 1.0, the cylinders encountered elevated turbulence levels (4%–10 %), reduced mean velocity and strong mean shear in the approach TBL which had profound effects on the attachment length and flapping motion of the reverse-flow region on the top surface of the cylinders. The time-averaged statistics including the mean velocities, Reynolds stresses and production terms were used to characterize the flow field and the large-scale anisotropy. The results showed that the wake structure of the submerged cylinders can be divided into dipoles and quadruples with a critical h/d = 3.5 and δ/h = 2.5. Both categories exhibited strong anisotropy, but the quadruples showed an interesting pattern where the streamwise Reynolds normal stress is less than the other components due to negative production in the wake region. Spectral analysis and joint-probability density functions are used to show that the reverse-flow region behind the cylinder is characterized by low-frequency flapping motions with a Strouhal number that decreases with increasing aspect ratio. The spatio-temporal evolution of the vortices also revealed the occurrence of cellular shedding behaviour where the vortices near the free end are shed discretely while those in the lower span are shed in the form of long streaky structures.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Adrian, R.J. & Westerweel, J. 2011 Particle Image Velocimetry. Cambridge University Press.Google Scholar
Akon, A.F. & Kopp, G.A. 2016 Mean pressure distributions and reattachment lengths for roof-separation bubbles on low-rise buildings. J. Wind Engng Ind. Aerodyn. 155, 115125.CrossRefGoogle Scholar
Balachandar, R. & Tachie, M.F. 2001 A study of boundary layer-wake interaction in shallow open channel flows. Exp. Fluids 30 (5), 511521.CrossRefGoogle Scholar
Bendat, J.S. & Piersol, A.G. 2010 Random Data: Analysis and Measurement Procedures, 4th edn. John Wiley & Sons.CrossRefGoogle Scholar
Benim, A.C., Pasqualotto, E. & Suh, S.H. 2008 Modelling turbulent flow past a circular cylinder by RANS, URANS, LES and DES. Prog. Comput. Fluid Dyn. 8 (5), 299307.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 (9), 095101.CrossRefGoogle Scholar
Brown, G.L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64 (4), 775816.CrossRefGoogle Scholar
Cantwell, B. & Coles, D. 1983 An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder. J. Fluid Mech. 136, 321374.CrossRefGoogle Scholar
Castro, I.P. 1979 Relaxing wakes behind surface-mounted obstacles in rough wall boundary layers. J. Fluid Mech. 93 (4), 631659.CrossRefGoogle Scholar
Essel, E.E., Nematollahi, A., Thacher, E.W. & Tachie, M.F. 2015 Effects of upstream roughness and Reynolds number on separated and reattached turbulent flow. J. Turbul. 16 (9), 872899.CrossRefGoogle Scholar
Essel, E.E., Roussinova, V. & Balachandar, R. 2020 Free surface effects on spanwise turbulent structure in the far-field of submerged jets. Phys. Fluids 32 (3), 035108.CrossRefGoogle Scholar
Essel, E.E. & Tachie, M.F. 2015 Roughness effects on turbulent flow downstream of a backward facing step. Flow Turbul. Combust. 94, 125153.CrossRefGoogle Scholar
Fang, X. & Tachie, M.F. 2019 On the unsteady characteristics of turbulent separations over a forward-backward-facing step. J. Fluid Mech. 863, 9941030.CrossRefGoogle Scholar
Farivar, D. 1981 Turbulent uniform flow around cylinders of finite length. AIAA J. 19 (3), 275281.CrossRefGoogle Scholar
Fox, T.A., Apelt, C.J. & West, G.S. 1993 The aerodynamic disturbance caused by the free-ends of a circular cylinder immersed in a uniform flow. J. Wind Engng Ind. Aerodyn. 49, 389399.CrossRefGoogle Scholar
Frederich, O., Wassen, E., Thiele, F., Jensch, M., Brede, M., Hüttmann, F. Leder, A. 2007 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.Google Scholar
George, W.K., Beuther, P.D., & Lumley, J.L. 1978 Processing of random signals. In Proceedings of the Dynamic Flow Conference 1978 on Dynamic Measurements in Unsteady Flows (ed. B.W. Hansen), pp. 757–800. Springer.CrossRefGoogle Scholar
Gerrard, J.H. 1966 The mechanics of the formation region of vortices behind bluff bodies. J. Fluid Mech. 25 (2), 401413.CrossRefGoogle Scholar
Graziani, A., Kerhervé, F., Martinuzzi, R.J. & Keirsbulck, L. 2018 Dynamics of the recirculating areas of a forward-facing step. Exp. Fluids 59 (10), 118.CrossRefGoogle Scholar
Hain, R., Kahler, C.J. & Michaelis, D. 2008 Tomographic and time resolved PIV measurements on a finite cylinder mounted on a flat plate. Exp. Fluids 45 (4), 715724.CrossRefGoogle Scholar
Hamed, A.M. & Peterlein, A.M. 2020 Turbulence structure of boundary layers perturbed by isolated and tandem roughness elements. J. Turbul. 21 (1), 1733.CrossRefGoogle Scholar
Heidari, M., Balachandar, R., Roussinova, V. & Barron, R.M. 2017 Characteristics of flow past a slender, emergent cylinder in shallow open channels. Phys. Fluids 29 (6), 065111.CrossRefGoogle Scholar
Jovic, S. 1996 An experimental study of a separated/reattached flow behind a backward- facing step. Reh = 37 000. NASA Technical Memorandum 110384. National Aeronautics and Space Administration, Ames Research Center.Google Scholar
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 (232), 21422151.CrossRefGoogle Scholar
Kitagawa, T., Fujino, Y. & Kimura, K. 1999 Effects of free-end condition on end-cell-induced vibration. J. Fluids Struct. 13, 499518.CrossRefGoogle Scholar
Krajnović, S. 2011 Flow around a tall finite cylinder explored by large eddy simulation. J. Fluid Mech. 676, 294317.CrossRefGoogle Scholar
Lee, L.W. 1997 Wake structure behind a circular cylinder with a free end. In Proceedings of the Heat Transfer and Fluid Mechanics Institute, pp. 241–251. California State University.Google Scholar
Lim, H.C., Castro, I.P. & Hoxey, R.P. 2007 Bluff bodies in deep turbulent boundary layers: Reynolds-number issues. J. Fluid Mech. 571, 97118.CrossRefGoogle Scholar
Lyn, B.D.A. & Rodi, W. 1994 The flapping shear layer formed by flow separation from the forward corner of a square cylinder. J. Fluid Mech. 267, 353376.CrossRefGoogle Scholar
Marusic, I., Chauhan, K.A., Kulandaivelu, V. & Hutchins, N. 2017 Study of the streamwise evolution of turbulent boundary layers to high Reynolds numbers. In Whither Turbulence and Big Data in the 21st Century? (ed. Pollard, A., Castillo, L., Danaila, L. & Glauser, M.) pp. 4760. Springer.CrossRefGoogle Scholar
Mohammed-Taifour, A. & Weiss, J. 2016 Unsteadiness in a large turbulent separation bubble. J. Fluid Mech. 799, 383412.CrossRefGoogle Scholar
Moreau, D.J. & Doolan, C.J. 2013 Flow-induced sound of wall-mounted finite length cylinders. AIAA J. 51 (10), 24932502.CrossRefGoogle Scholar
Nasif, G., Balachandar, R. & Barron, R.M. 2015 Characteristics of flow structures in the wake of a bed-mounted bluff body in shallow open channels. Trans. ASME J. Fluids Engng 137 (10), 110.CrossRefGoogle Scholar
Nematollahi, A. & Tachie, M.F. 2018 Time-resolved PIV measurement of influence of upstream roughness on separated and reattached turbulent flows over a forward-facing step. AIP Adv. 8 (10), 105110.CrossRefGoogle Scholar
Norberg, C. 1994 An experimental investigation of the flow around a circular cylinder: influence of aspect ratio. J. Fluid Mech. 258 (1), 287316.CrossRefGoogle Scholar
Okamoto, S. & Sunabashiri, Y. 1992 Vortex shedding from a circular cylinder of finite length placed on a ground plane. J. Fluids Engng 114 (December), 512521.CrossRefGoogle Scholar
Okamoto, T. & Yagita, M. 1973 The experimental investigation on the flow past a circular cylinder of finite length placed normal to the plane surface in a uniform stream. Bull. JSME 16 (95), 805814.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 (2), 239275.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, 231246.CrossRefGoogle Scholar
Park, C.-W. & Lee, S.-J. 2002 Flow structure around a finite circular cylinder embedded in various atmospheric boundary layers. Fluid Dyn. Res. 30 (4), 197215.CrossRefGoogle Scholar
Park, C.-W. & Lee, S.-J. 2004 Effects of free-end corner shape on flow structure around a finite cylinder. J. Fluids Struct. 19, 141158.CrossRefGoogle Scholar
Parnaudeau, P., Carlier, J., Heitz, D. & Lamballais, E. 2008 Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900. Phys. Fluids 20 (8), 085101.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 (1), 1021.CrossRefGoogle Scholar
Pearson, D.S., Goulart, P.J. & Ganapathisubramani, B. 2013 Turbulent separation upstream of a forward-facing step. J. Fluid Mech. 724, 284304.CrossRefGoogle Scholar
Porteous, R., Moreau, D.J. & Doolan, C.J. 2014 A review of flow-induced noise from finite wall-mounted cylinders. J. Fluids Struct. 51, 240254.CrossRefGoogle Scholar
Raffel, M., Willert, C.E. & Kompenhaus, J. 1998 Particle Image Velocimetry: A Practical Guide. Springer.CrossRefGoogle Scholar
Rahman, M.S., Tay, G.F.K., Essel, E.E. & Tachie, M.F. 2018 Effects of offset height on the turbulent characteristics of a surface attaching jet. Intl J. Heat Fluid Flow 71, 305321.CrossRefGoogle Scholar
Rodríguez, I., Lehmkuhl, O., Chiva, J., Borrell, R. & Oliva, A. 2015 On the flow past a circular cylinder from critical to super-critical Reynolds numbers: Wake topology and vortex shedding. Intl J. Heat Fluid Flow 55, 91103.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, 105122.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
Sakamoto, H. & Oiwake, S. 1984 Fluctuating forces on a rectangular prism and a circular cylinder placed vertically in a turbulent boundary layer. J. Fluids Engng 106 (June), 160166.CrossRefGoogle Scholar
Samimy, M. & Lele, S.K. 1991 Motion of particles with inertia in a compressible free shear layer. Phys. Fluids A 3 (8), 19151923.CrossRefGoogle Scholar
Sciacchitano, A. & Wieneke, B. 2016 PIV uncertainty propagation. Meas. Sci. Technol. 27 (8), 84006.CrossRefGoogle Scholar
Sillero, J.A., Jiménez, J. & Moser, R.D. 2013 One-point statistics for turbulent wall-bounded flows at Reynolds numbers up to δ+ ≈ 2000. Phys. Fluids 25, 105102.CrossRefGoogle Scholar
Simpson, R. 1989 Turbulent boundary-layer separation. Annu. Rev. Fluid Mech. 21, 205234.CrossRefGoogle Scholar
Sumner, D. 2013 Flow above the free end of a surface-mounted finite-height circular cylinder: a review. J. Fluids Struct. 43, 4163.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 (5), 720730.CrossRefGoogle Scholar
Sumner, D., Rostamy, N., Bergstrom, D.J. & Bugg, J.D. 2015 Influence of aspect ratio on the flow above the free end of a surface-mounted finite cylinder. Intl J. Heat Fluid Flow 56, 290304.CrossRefGoogle Scholar
Szepessy, S. & Bearman, P.W. 1992 Aspect ratio and end plate effects on vortex shedding from a circular cylinder. J. Fluid Mech. 234, 191217.CrossRefGoogle Scholar
Tang, Z., Jiang, N., Zheng, X. & Wu, Y. 2016 Bursting process of large- and small-scale structures in turbulent boundary layer perturbed by a cylinder roughness element. Exp. Fluids 57 (5), 114.CrossRefGoogle Scholar
Thacker, A., Aubrun, S., Leroy, A. & Devinant, P. 2013 Experimental characterization of flow unsteadiness in the centerline plane of an Ahmed body rear slant. Exp. Fluids 54 (3), 1479.CrossRefGoogle Scholar
Travin, A., Shur, M., Strelets, M. & Spalart, P. 2000 Detached-eddy simulations past a circular cylinder. Flow Turbul. Combust. 63, 293313.CrossRefGoogle Scholar
Tsutsui, T. 2012 Flow around a cylindrical structure mounted in a plane turbulent boundary layer. J. Wind Engng Ind. Aerodyn. 104–106, 239247.CrossRefGoogle Scholar
Tsutsui, T. & Kawahara, M. 2006 Heat transfer around a cylindrical protuberance mounted in a plane turbulent boundary layer. J. Heat Transfer 128 (2), 153161.CrossRefGoogle Scholar
Ünal, U.O., Atlar, M. & Gören, Ö. 2010 Effect of turbulence modelling on the computation of the near-wake flow of a circular cylinder. Ocean Engng 37, 387399.CrossRefGoogle Scholar
Wang, H.F. & Zhou, Y. 2009 The finite-length square cylinder near wake. J. Fluid Mech. 638 (2009), 453.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 (6), 065106.CrossRefGoogle Scholar
West, G.S. & Apelt, C.J. 1982 The effects of tunnel blockage and aspect ratio on the mean flow past a circular cylinder with Reynolds numbers between 104 and 105. J. Fluid Mech. 114, 361377.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, 929960.CrossRefGoogle Scholar
Zdravkovich, M.M. 1997 Flow Around Circular Cylinders Volume 1: Fundamentals. Oxford University Press.Google Scholar