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Control of flow around a cylinder by rotary oscillations at a high subcritical Reynolds number

Published online by Cambridge University Press:  18 September 2018

E. Palkin ,
M. Hadžiabdić ,
R. Mullyadzhanov Open the ORCID record for R. Mullyadzhanov [Opens in a new window]  and
K. Hanjalić
E. Palkin
Affiliation:
Institute of Thermophysics SB RAS, Lavrentyeva 1, 630090 Novosibirsk, Russia Novosibirsk State University, Pirogova 2, 630090 Novosibirsk, Russia Paul Scherrer Institute, Villigen 5232, Switzerland
M. Hadžiabdić*
Affiliation:
International University of Sarajevo, Hrasnicka cesta 15, 71210 Ilidža, Sarajevo, Bosnia and Hercegovina
R. Mullyadzhanov*
Affiliation:
Institute of Thermophysics SB RAS, Lavrentyeva 1, 630090 Novosibirsk, Russia Novosibirsk State University, Pirogova 2, 630090 Novosibirsk, Russia
K. Hanjalić
Affiliation:
Novosibirsk State University, Pirogova 2, 630090 Novosibirsk, Russia Delft University of Technology, Bld. 58, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
*
†Email addresses for correspondence: mhadziabdic@ius.edu.ba, rustammul@gmail.com
†Email addresses for correspondence: mhadziabdic@ius.edu.ba, rustammul@gmail.com
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Abstract

We report on a numerical study of the vortex structure modifications and drag reduction in a flow over a rotationally oscillating circular cylinder at a high subcritical Reynolds number, $Re=1.4\times 10^{5}$. Considered are eight forcing frequencies $f=f_{e}/f_{0}=0.5$, $1$, $1.5$, $2$, $2.5$, $3$, $4$, $5$ and three forcing amplitudes $\unicode[STIX]{x1D6FA}=\unicode[STIX]{x1D6FA}_{e}D/2U_{\infty }=1$, $2$, $3$, non-dimensionalized with $f_{0}$, which is the natural vortex-shedding frequency without forcing, $U_{\infty }$ the free-stream velocity, $D$ the diameter of the cylinder. In order to perform a parametric study of a large number of cases ($24$ in total) with affordable computational resources, the three-dimensional unsteady computations were performed using a wall-integrated (WIN) second-moment (Reynolds-stress) Reynolds-averaged Navier–Stokes (RANS) turbulence closure, verified and validated by a dynamic large-eddy simulations (LES) for selected cases ($f=2.5$, $\unicode[STIX]{x1D6FA}=2$ and $f=4$, $\unicode[STIX]{x1D6FA}=2$), as well as by the earlier LES and experiments of the flow over a stagnant cylinder at the same $Re$ number described in Palkin et al. (Flow Turbul. Combust., vol. 97 (4), 2016, pp. 1017–1046). The drag reduction was detected at frequencies equal to and larger than $f=2.5$, while no reduction was observed for the cylinder subjected to oscillations with the natural frequency, even with very different values of the rotation amplitude. The maximum reduction of the drag coefficient is 88 % for the highest tested frequency $f=5$ and amplitude $\unicode[STIX]{x1D6FA}=2$. However, a significant reduction of 78 % appears with the increase of $f$ already for $f=2.5$ and $\unicode[STIX]{x1D6FA}=2$. Such a dramatic reduction in the drag coefficient is the consequence of restructuring of the vortex-shedding topology and a markedly different pressure field featured by a shrinking of the low pressure region behind the cylinder, all dictated by the rotary oscillation. Despite the need to expend energy to force cylinder oscillations, the considered drag reduction mechanism seems a feasible practical option for drag control in some applications for $Re>10^{4}$, since the calculated power expenditure for cylinder oscillation under realistic scenarios is several times smaller than the power saved by the drag reduction.

JFM classification

Flow Control: Flow Control Turbulent Flows: Turbulence modelling Wakes/Jets: Wakes
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 855 , 25 November 2018 , pp. 236 - 266
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Copyright
© 2018 Cambridge University Press 

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References

Arcas, D. R. & Redekopp, L. G. 2004 Aspects of wake vortex control through base blowing/suction. Phys. Fluids 16 (2), 452–456.Google Scholar
Bearman, P. W. 1984 Vortex shedding from oscillating bluff bodies. Annu. Rev. Fluid Mech. 16 (1), 195–222.Google Scholar
Bearman, P. W. & Harvey, J. K. 1993 Control of circular cylinder flow by the use of dimples. AIAA J. 31 (10), 1753–1756.Google Scholar
Bergmann, M., Cordier, L. & Brancher, J.-P. 2005 Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model. Phys. Fluids 17, 097101.Google Scholar
Bergmann, M., Cordier, L. & Brancher, J.-P. 2006 On the power required to control the circular cylinder wake by rotary oscillations. Phys. Fluids 18, 088103.Google Scholar
Brunton, S. L. & Noack, B. R. 2015 Closed-loop turbulence control: progress and challenges. Appl. Mech. Rev. 67 (5), 050801.Google 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.Google Scholar
Cao, Y. & Tamura, T. 2015 Numerical investigations into effects of three-dimensional wake patterns on unsteady aerodynamic characteristics of a circular cylinder at re = 1. 3 × 105 . J. Fluids Struct. 59, 351–369.Google Scholar
Chen, W. L., Xin, D. B., Xu, F., Li, H., Ou, J. P. & Hu, H. 2013 Suppression of vortex-induced vibration of a circular cylinder using suction-based flow control. J. Fluids Struct. 42, 25–39.Google Scholar
Cheng, M., Chew, Y. T. & Luo, S. C. 2001 Numerical investigation of a rotationally oscillating cylinder in mean flow. J. Fluids Struct. 15 (7), 981–1007.Google Scholar
Choi, H., Jeon, W. P. & Kim, J. 2008 Control of flow over a bluff body. Annu. Rev. Fluid Mech. 40, 113–139.Google Scholar
D’Adamo, J., Godoy-Diana, R. & Wesfreid, J. E. 2011 Spatiotemporal spectral analysis of a forced cylinder wake. Phys. Rev. E 84 (5), 056308.Google Scholar
Du, L. & Dalton, C. 2013 LES calculation for uniform flow past a rotationally oscillating cylinder. J. Fluids Struct. 42, 40–54.Google Scholar
Flinois, T. L. B. & Colonius, T. 2015 Optimal control of circular cylinder wakes using long control horizons. Phys. Fluids 27 (8), 087105.Google Scholar
Fujisawa, N., Kawaji, Y. & Ikemoto, K. 2001 Feedback control of vortex shedding from a circular cylinder by rotational oscillations. J. Fluids Struct. 15 (1), 23–37.Google Scholar
Gao, D. L., Chen, W. L., Li, H. & Hu, H. 2017 Flow around a circular cylinder with slit. Exp. Therm. Fluid Sci. 82, 287–301.Google Scholar
He, J.-W., Glowinski, R., Metcalfe, R., Nordlander, A. & Periaux, J. 2000 Active control and drag optimization for flow past a circular cylinder. I. Oscillatory cylinder rotation. J. Comput. Phys. 163, 83–117.Google Scholar
Homescu, C., Navon, I. M. & Li, Z. 2002 Suppression of vortex shedding for flow around a circular cylinder using optimal control. Intl J. Numer. Meth. Fluids 38, 43–69.Google Scholar
Jakirlić, S. & Hanjalić, K. 2002 A new approach to modelling near-wall turbulence energy and stress dissipation. J. Fluid Mech. 459, 139–166.Google Scholar
Kim, J. & Choi, H. 2005 Distributed forcing of flow over a circular cylinder. Phys. Fluids 17 (3), 033103.Google Scholar
Kim, S. J. & Lee, C. M. 2000 Investigation of the flow around a circular cylinder under the influence of an electromagnetic force. Exp. Fluids 28 (3), 252–260.Google Scholar
Lam, K. & Lin, Y. F. 2009 Effects of wavelength and amplitude of a wavy cylinder in cross-flow at low Reynolds numbers. J. Fluid Mech. 620, 195–220.Google Scholar
Lim, H. C. & Lee, S. J. 2002 Flow control of circular cylinders with longitudinal grooved surfaces. AIAA J. 40 (10), 2027–2036.Google Scholar
Lin, J. C., Towfighi, J. & Rockwell, D. 1995 Near-wake of a circular cylinder: control, by steady and unsteady surface injection. J. Fluids Struct. 9 (6), 659–669.Google Scholar
Mahfouz, F. M. & Badr, H. M. 2000 Flow structure in the wake of a rotationally oscillating cylinder. Trans. ASME, J. Fluids Engng 122 (2), 290–301.Google Scholar
Mittal, S. & Kumar, B. 2003 Flow past a rotating cylinder. J. Fluid Mech. 476 (4), 303–334.Google Scholar
Moin, P. & Bewley, T. 1994 Feedback control of turbulence. Appl. Mech. Rev. 47 (6), S3–S13.Google Scholar
Ničeno, B. & Hanjalić, K. 2005 Unstructured large eddy and conjugate heat transfer simulations of wall-bounded flows. In Modelling and Simulation of Turbulent Heat Transfer, pp. 32–73. WIT.Google Scholar
Okajima, A., Takata, H. & Asanuma, T. 1975 Viscous flow around a rotationally oscillating circular cylinder. ISAS Report 40 (12), 311–338.Google Scholar
Palkin, E., Mullyadzhanov, R., Hadžiabdić, M. & Hanjalić, K. 2016 Scrutinizing URANS models in shedding flows: the case of the cylinder in cross flow. Flow Turbul. Combust. 97 (4), 1017–1046.Google Scholar
Poncet, P. 2002 Vanishing of mode B in the wake behind a rotationally oscillating circular cylinder. Phys. Fluids 14 (6), 2021–2023.Google Scholar
Poncet, P. 2004 Topological aspects of three-dimensional wakes behind rotary oscillating cylinders. J. Fluid Mech. 517, 27–53.Google Scholar
Poncet, P., Hildebrand, R., Cottet, G. H. & Koumoutsakos, P. 2008 Spatially distributed control for optimal drag reduction of the flow past a circular cylinder. J. Fluid Mech. 599, 111–120.Google Scholar
Protas, B. & Styczek, A. 2002 Optimal rotary control of the cylinder wake in the laminar regime. Phys. Fluids 14 (7), 2073–2087.Google Scholar
Protas, B. & Wesfreid, J. E. 2002 Drag force in the open-loop control of the cylinder wake in the laminar regime. Phys. Fluids 14 (2), 810–826.Google Scholar
Roshko, A.1954 On the drag and shedding frequency of two-dimensional bluff bodies. NACA TN 3169.Google Scholar
Sarpkaya, T. 2004 A critical review of the intrinsic nature of vortex-induced vibrations. J. Fluids Struct. 19 (4), 389–447.Google Scholar
Sengupta, T. K., Deb, K. & Talla, S. B. 2007 Control of flow using genetic algorithm for a circular cylinder executing rotary oscillation. Comput. Fluids 36 (3), 578–600.Google Scholar
Shiels, D. & Leonard, A. 2001 Investigation of a drag reduction on a circular cylinder in rotary oscillation. J. Fluid Mech. 431, 297–322.Google Scholar
Shih, W. C. L., Wang, C., Coles, D. & Roshko, A. 1993 Experiments on flow past rough circular cylinders at large Reynolds numbers. J. Wind Engng Ind. Aerodyn. 49 (1–3), 351–368.Google Scholar
Strykowski, P. J. & Sreenivasan, K. R. 1990 On the formation and suppression of vortex shedding at low Reynolds numbers. J. Fluid Mech. 218, 71–107.Google Scholar
Tokumaru, P. T. & Dimotakis, P. E. 1991 Rotary oscillation control of a cylinder wake. J. Fluid Mech. 224, 77–90.Google Scholar
Williamson, C. H. K. 1989 Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 206, 579–627.Google Scholar
Williamson, C. H. K. 1996 Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28 (1), 477–539.Google Scholar
You, D. & Moin, P. 2007 Effects of hydrophobic surfaces on the drag and lift of a circular cylinder. Phys. Fluids 19 (8), 081701.Google Scholar