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Investigation of the influence of low-frequency forcing on the 3-D turbulent wake of a cantilevered triangular prism

Published online by Cambridge University Press:  03 March 2021

Iman Erfan ,
Mohammad Abbaspour Open the ORCID record for Mohammad Abbaspour [Opens in a new window]  and
Robert J. Martinuzzi Open the ORCID record for Robert J. Martinuzzi [Opens in a new window]
Iman Erfan
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, ABT2N 1N4, Canada
Mohammad Abbaspour
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, ABT2N 1N4, Canada
Robert J. Martinuzzi*
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, ABT2N 1N4, Canada
*
†Email address for correspondence: [email protected]
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Abstract

The influence of weak low-frequency actuation on the three-dimensional turbulent wake of a cantilevered triangular prism of aspect ratio 4 protruding a thin turbulent boundary layer is investigated experimentally at a Reynolds number of 12 000. Results are reported for surface pressure measurements on the leeward face and wake of the obstacle and particle image velocimetry for selected planes in the wake. Zero-net-mass-flux actuation (sinusoidally modulated synthetic jets) is used to excite the flow through two slits spanning the obstacle height along the edges of the leeward face. Vortex shedding lock-on is shown to occur over intervals corresponding to subharmonics of the actuation frequency. The synchronization mechanism is identified, where weak perturbations due to actuation at critical stages of the Kármán vortex formation trigger shedding. A phenomenological model is presented, linking the concepts of vortex formation time and circulation transport, to describe lock-on phenomena for one-sided and symmetric two-sided actuation. The model further describes interactions with the synthetic jet leading to the splitting of shed vortices observed in earlier studies. Similarities to results observed for other geometric and actuation configurations suggest a broader relevance of the proposed model and highlight differences between weak and strong forcing.

JFM classification

Vortex Flows: Vortex shedding Wakes/Jets: Separated flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 913 , 25 April 2021 , A48
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Agrwal, N., Dutta, S. & Gandhi, B.K. 2016 Experimental investigation of flow field behind triangular prisms at intermediate Reynolds number with different apex angles. Expl Therm. Fluid Sci. 72, 97–111.CrossRefGoogle Scholar
Ahlborn, B., Lefrancois, M. & King, D.H. 1998 The clockwork of vortex shedding. Phys. Essays 11, 144–154.CrossRefGoogle Scholar
Baek, S., Lee, S.B. & Sung, H.J. 2001 Response of a circular cylinder wake to superharmonic excitation. J.Fluid Mech. 442, 67–88.CrossRefGoogle Scholar
Barros, D., Borée, J., Noack, B.R. & Spohn, A. 2016 a Resonances in the forced turbulent wake past a 3D blunt body. Phys. Fluids 28 (6), 065104.CrossRefGoogle Scholar
Barros, D., Borée, J., Noack, B.R., Spohn, A. & Ruiz, T. 2016 b Bluff body drag manipulation using pulsed jets and Coanda effect. J.Fluid Mech. 805, 422–459.CrossRefGoogle Scholar
Bartlett, M.S. 1950 Periodogram analysis and continuous spectra. Biometrika 37 (1/2), 1–16.CrossRefGoogle ScholarPubMed
Benedict, L.H. & Gould, R.D. 1996 Towards better uncertainty estimates for turbulence statistics. Exp. Fluids 22 (2), 129–136.CrossRefGoogle Scholar
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
Buresti, G. & Iungo, G.V. 2010 Experimental investigation on the connection between flow fluctuations and vorticity dynamics in the near wake of a triangular prism placed vertically on a plane. J.Wind Engng Ind. Aerodyn. 98 (6–7), 253–262.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, 321–374.CrossRefGoogle Scholar
Cattafesta III, L.N. & Sheplak, M. 2011 Actuators for active flow control. Annu. Rev. Fluid Mech. 43, 247–272.CrossRefGoogle Scholar
Celik, B. & Beskok, A. 2009 Mixing induced by a transversely oscillating circular cylinder in a straight channel. Phys. Fluids 21 (7), 073601.CrossRefGoogle Scholar
Choi, H., Jeon, W. & Kim, J. 2008 Control of flow over a bluff body. Annu. Rev. Fluid Mech. 40, 113–139.CrossRefGoogle Scholar
Christiansen, J.P. & Zabusky, N.J. 1973 Instability, coalescence and fission of finite-area vortex structures. J.Fluid Mech. 61 (2), 219–243.CrossRefGoogle Scholar
Couder, Y. & Basdevant, C. 1986 Experimental and numerical study of vortex couples in two-dimensional flows. J.Fluid Mech. 173, 225–251.CrossRefGoogle Scholar
Csiba, A.L. & Martinuzzi, R.J. 2008 Investigation of bluff body asymmetry on the properties of vortex shedding. J.Wind Engng Ind. Aerodyn. 96 (6–7), 1152–1163.CrossRefGoogle Scholar
Feng, L., Cui, G. & Liu, L. 2019 Two-dimensionalization of a three-dimensional bluff body wake. Phys. Fluids 31 (1), 017104.CrossRefGoogle Scholar
Feng, L.H. & Wang, J.J. 2010 Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point. J.Fluid Mech. 662, 232–259.CrossRefGoogle Scholar
Feng, L., Wang, J. & Pan, C. 2011 Proper orthogonal decomposition analysis of vortex dynamics of a circular cylinder under synthetic jet control. Phys. Fluids 23 (1), 014106.CrossRefGoogle Scholar
Freymuth, P., Bank, W. & Palmer, M. 1984 First experimental evidence of vortex splitting. Phys. Fluids 27 (5), 1045–1046.CrossRefGoogle Scholar
Gau, C., Wu, S.X. & Su, H.S. 2001 Synchronization of vortex shedding and heat transfer enhancement over a heated cylinder oscillating with small amplitude in streamwise direction. Trans. ASME: J. Heat Transfer 123 (6), 1139–1148.CrossRefGoogle Scholar
Gerrard, J.H. 1966 The mechanics of the formation region of vortices behind bluff bodies. J.Fluid Mech. 25 (2), 401–413.CrossRefGoogle Scholar
Gharib, M., Rambod, E. & Shariff, K. 1998 A universal time scale for vortex ring formation. J.Fluid Mech. 360, 121–140.CrossRefGoogle Scholar
Griffin, O.M. & Hall, M.S. 1991 Vortex shedding lock-on and flow control in bluff body wakes. J.Fluid Engng 113, 526–537.CrossRefGoogle Scholar
Griffin, O.M. & Ramberg, S.E. 1976 Vortex shedding from a cylinder vibrating in line with an incident uniform flow. J.Fluid Mech. 75 (2), 257–271.CrossRefGoogle Scholar
Holman, R.J. 2006 Experimental investigation of flows from zero-net mass-flux actuators. PhD thesis, University of Florida.Google Scholar
Holmes, P., Lumley, J.L., Berkooz, G. & Rowley, C.W. 2012 Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press.CrossRefGoogle Scholar
Hougen, J.O., Martin, O.R. & Walsh, R.A. 1963 Dynamics of pneumatic transmission lines. Control Engng 10 (9), 114–117.Google Scholar
Hunt, J.C., Wray, A.A. & Moin, P. 1988 Eddies, streams, and convergence zones in turbulent flows. In Proceedings of the Summer Program, Center for Turbulence Research, Stanford, CA, pp. 193–208.Google Scholar
Iungo, G.V. & Buresti, G. 2009 Experimental investigation on the aerodynamic loads and wake flow features of low aspect-ratio triangular prisms at different wind directions. J.Fluids Struct. 25 (7), 1119–1135.CrossRefGoogle Scholar
Kim, K. & Choi, J. 2019 Lock-in regions of laminar flows over a streamwise oscillating circular cylinder. J.Fluid Mech. 858, 315–351.CrossRefGoogle Scholar
Kim, S.H., Park, J.Y., Park, N., Bae, J.H. & Yoo, J.Y. 2009 Direct numerical simulation of vortex synchronization due to small perturbations. J.Fluid Mech. 634, 61–90.CrossRefGoogle Scholar
Kim, W., Yoo, J.Y. & Sung, J. 2006 Dynamics of vortex lock-on in a perturbed cylinder wake. Phys. Fluids 18 (7), 074103.CrossRefGoogle Scholar
Konstantinidis, E. & Balabani, S. 2007 Symmetric vortex shedding in the near wake of a circular cylinder due to streamwise perturbations. J.Fluids Struct. 23 (7), 1047–1063.CrossRefGoogle Scholar
Konstantinidis, E., Balabani, S. & Yianneskis, M. 2005 The timing of vortex shedding in a cylinder wake imposed by periodic inflow perturbations. J.Fluid Mech. 543, 45–55.CrossRefGoogle Scholar
Konstantinidis, E. & Bouris, D. 2016 Vortex synchronization in the cylinder wake due to harmonic and non-harmonic perturbations. J.Fluid Mech. 804, 248–277.CrossRefGoogle Scholar
Konstantinidis, E. & Liang, C. 2011 Dynamic response of a turbulent cylinder wake to sinusoidal inflow perturbations across the vortex lock-on range. Phys. Fluids 23 (7), 075102.CrossRefGoogle Scholar
Leontini, J.S., Jacono, D.L. & Thompson, M.C. 2013 Wake states and frequency selection of a streamwise oscillating cylinder. J.Fluid Mech. 730, 162–192.CrossRefGoogle Scholar
Lyn, D.A., Einav, S., Rodi, W. & Park, J.H. 1995 A laser-doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder. J.Fluid Mech. 304, 285–319.CrossRefGoogle Scholar
Meunier, P., Le Dizès, S. & Leweke, T. 2005 Physics of vortex merging. C.R. Phys. 6 (4–5), 431–450.CrossRefGoogle Scholar
Munday, P.M. & Taira, K. 2013 On the lock-on of vortex shedding to oscillatory actuation around a circular cylinder. Phys. Fluids 25 (1), 013601.CrossRefGoogle Scholar
Nishihara, T., Kaneko, S. & Watanabe, T. 2005 Characteristics of fluid dynamic forces acting on a circular cylinder oscillated in the streamwise direction and its wake patterns. J.Fluids Struct. 20 (4), 505–518.CrossRefGoogle Scholar
Ongoren, A. & Rockwell, D. 1988 Flow structure from an oscillating cylinder. Part 2. Mode competition in the near wake. J.Fluid Mech. 191, 225–245.CrossRefGoogle Scholar
Qu, Y., Wang, J.J., Sun, M., Feng, L.H., Pan, C., Gao, Q. & He, G. 2017 Wake vortex evolution of square cylinder with a slot synthetic jet positioned at the rear surface. J.Fluid Mech. 812, 940–965.CrossRefGoogle Scholar
Rigas, G., Morgans, A.S. & Morrison, J.F. 2017 Weakly nonlinear modelling of a forced turbulent axisymmetric wake. J.Fluid Mech. 814, 570–591.CrossRefGoogle Scholar
Roshko, A. 1954 On the drag and shedding frequency of two-dimensional bluff bodies. NACA report.Google Scholar
Tang, G., Cheng, L., Tong, F., Lu, L. & Zhao, M. 2017 Modes of synchronisation in the wake of a streamwise oscillatory cylinder. J.Fluid Mech. 832, 146–169.CrossRefGoogle Scholar
Wang, C., Tang, H., Simon, C.M. & Duan, F. 2017 Lock-on of vortex shedding to a pair of synthetic jets with phase difference. Phys. Rev. Fluids 2 (10), 104701.CrossRefGoogle Scholar
Wang, H.F. & Zhou, Y. 2009 The finite-length square cylinder near wake. J.Fluid Mech. 638, 453–490.CrossRefGoogle Scholar
Wheeler, A.J. & Ganji, A.R. 1996 Introduction to Engineering Experimentation. Prentice Hall.Google Scholar
Wieneke, B. 2015 PIV uncertainty quantification from correlation statistics. Meas. Sci. Technol. 26 (7), 074002.CrossRefGoogle Scholar
Williamson, C.H.K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J.Fluids Struct. 2 (4), 355–381.CrossRefGoogle Scholar
Xu, S.J., Zhou, Y. & Wang, M.H. 2006 A symmetric binary-vortex street behind a longitudinally oscillating cylinder. J.Fluid Mech. 556, 27–43.CrossRefGoogle Scholar
Yagmur, S., Dogan, S., Aksoy, M.H., Goktepeli, I. & Ozgoren, M. 2017 Comparison of flow characteristics around an equilateral triangular cylinder via PIV and large eddy simulation methods. Flow Meas. Instrum. 55, 23–36.CrossRefGoogle Scholar