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Control of flow around a cylinder by rotary oscillations at a high subcritical Reynolds number. (English) Zbl 1415.76220
Summary: 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 \(\Omega=\Omega_e D/2U_\infty =1\), \(2\), \(3\), 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 (\(f=2.5\), \(\Omega=2\) and \(f=4\), \(\Omega=2\)), as well as by the earlier LES and experiments of the flow over a stagnant cylinder at the same \(Re\) number described in [the first author, “Scrutinizing URANS models in shedding flows: the case of the cylinder in cross flow”, Flow Turbul. Combust. 97, No. 4, 1017–1046 (2016; doi:10.1007/s10494-016-9772-z)]. 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 \(\Omega=2\). However, a significant reduction of 78% appears with the increase of \(f\) already for \(f=2.5\) and \(\Omega=2\). 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.
76D55 Flow control and optimization for incompressible viscous fluids
76D25 Wakes and jets
76M12 Finite volume methods applied to problems in fluid mechanics
Full Text: DOI
[1] Arcas, D. R.; Redekopp, L. G., Aspects of wake vortex control through base blowing/suction, Phys. Fluids, 16, 2, 452-456, (2004) · Zbl 1186.76032
[2] Bearman, P. W., Vortex shedding from oscillating bluff bodies, Annu. Rev. Fluid Mech., 16, 1, 195-222, (1984) · Zbl 0605.76045
[3] Bearman, P. W.; Harvey, J. K., Control of circular cylinder flow by the use of dimples, AIAA J., 31, 10, 1753-1756, (1993)
[4] Bergmann, M.; Cordier, L.; Brancher, J.-P., Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model, Phys. Fluids, 17, (2005) · Zbl 1187.76044
[5] Bergmann, M.; Cordier, L.; Brancher, J.-P., On the power required to control the circular cylinder wake by rotary oscillations, Phys. Fluids, 18, (2006)
[6] Brunton, S. L.; Noack, B. R., Closed-loop turbulence control: progress and challenges, Appl. Mech. Rev., 67, 5, (2015)
[7] Cantwell, B.; Coles, D., An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder, J. Fluid Mech., 136, 321-374, (1983)
[8] Cao, Y.; Tamura, T., 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, (2015)
[9] Chen, W. L.; Xin, D. B.; Xu, F.; Li, H.; Ou, J. P.; Hu, H., Suppression of vortex-induced vibration of a circular cylinder using suction-based flow control, J. Fluids Struct., 42, 25-39, (2013)
[10] Cheng, M.; Chew, Y. T.; Luo, S. C., Numerical investigation of a rotationally oscillating cylinder in mean flow, J. Fluids Struct., 15, 7, 981-1007, (2001)
[11] Choi, H.; Jeon, W. P.; Kim, J., Control of flow over a bluff body, Annu. Rev. Fluid Mech., 40, 113-139, (2008) · Zbl 1136.76022
[12] D’Adamo, J.; Godoy-Diana, R.; Wesfreid, J. E., Spatiotemporal spectral analysis of a forced cylinder wake, Phys. Rev. E, 84, 5, (2011)
[13] Du, L.; Dalton, C., LES calculation for uniform flow past a rotationally oscillating cylinder, J. Fluids Struct., 42, 40-54, (2013)
[14] Flinois, T. L. B.; Colonius, T., Optimal control of circular cylinder wakes using long control horizons, Phys. Fluids, 27, 8, (2015)
[15] Fujisawa, N.; Kawaji, Y.; Ikemoto, K., Feedback control of vortex shedding from a circular cylinder by rotational oscillations, J. Fluids Struct., 15, 1, 23-37, (2001)
[16] Gao, D. L.; Chen, W. L.; Li, H.; Hu, H., Flow around a circular cylinder with slit, Exp. Therm. Fluid Sci., 82, 287-301, (2017)
[17] He, J.-W.; Glowinski, R.; Metcalfe, R.; Nordlander, A.; Periaux, J., Active control and drag optimization for flow past a circular cylinder. I. Oscillatory cylinder rotation, J. Comput. Phys., 163, 83-117, (2000) · Zbl 0977.76021
[18] Homescu, C.; Navon, I. M.; Li, Z., Suppression of vortex shedding for flow around a circular cylinder using optimal control, Intl J. Numer. Meth. Fluids, 38, 43-69, (2002) · Zbl 1007.76019
[19] Jakirlić, S.; Hanjalić, K., A new approach to modelling near-wall turbulence energy and stress dissipation, J. Fluid Mech., 459, 139-166, (2002) · Zbl 1040.76028
[20] Kim, J.; Choi, H., Distributed forcing of flow over a circular cylinder, Phys. Fluids, 17, 3, (2005) · Zbl 1187.76270
[21] Kim, S. J.; Lee, C. M., Investigation of the flow around a circular cylinder under the influence of an electromagnetic force, Exp. Fluids, 28, 3, 252-260, (2000)
[22] Lam, K.; Lin, Y. F., Effects of wavelength and amplitude of a wavy cylinder in cross-flow at low Reynolds numbers, J. Fluid Mech., 620, 195-220, (2009) · Zbl 1156.76380
[23] Lim, H. C.; Lee, S. J., Flow control of circular cylinders with longitudinal grooved surfaces, AIAA J., 40, 10, 2027-2036, (2002)
[24] Lin, J. C.; Towfighi, J.; Rockwell, D., Near-wake of a circular cylinder: control, by steady and unsteady surface injection, J. Fluids Struct., 9, 6, 659-669, (1995)
[25] Mahfouz, F. M.; Badr, H. M., Flow structure in the wake of a rotationally oscillating cylinder, Trans. ASME, J. Fluids Engng, 122, 2, 290-301, (2000)
[26] Mittal, S.; Kumar, B., Flow past a rotating cylinder, J. Fluid Mech., 476, 4, 303-334, (2003) · Zbl 1163.76442
[27] Moin, P.; Bewley, T., Feedback control of turbulence, Appl. Mech. Rev., 47, 6, S3-S13, (1994)
[28] Ničeno, B.; Hanjalić, K., Unstructured large eddy and conjugate heat transfer simulations of wall-bounded flows, Modelling and Simulation of Turbulent Heat Transfer, 32-73, (2005), WIT · Zbl 1215.76046
[29] Okajima, A.; Takata, H.; Asanuma, T., Viscous flow around a rotationally oscillating circular cylinder, ISAS Report, 40, 12, 311-338, (1975)
[30] Palkin, E.; Mullyadzhanov, R.; Hadžiabdić, M.; Hanjalić, K., Scrutinizing URANS models in shedding flows: the case of the cylinder in cross flow, Flow Turbul. Combust., 97, 4, 1017-1046, (2016)
[31] Poncet, P., Vanishing of mode B in the wake behind a rotationally oscillating circular cylinder, Phys. Fluids, 14, 6, 2021-2023, (2002) · Zbl 1185.76298
[32] Poncet, P., Topological aspects of three-dimensional wakes behind rotary oscillating cylinders, J. Fluid Mech., 517, 27-53, (2004) · Zbl 1131.76314
[33] Poncet, P.; Hildebrand, R.; Cottet, G. H.; Koumoutsakos, P., Spatially distributed control for optimal drag reduction of the flow past a circular cylinder, J. Fluid Mech., 599, 111-120, (2008) · Zbl 1151.76444
[34] Protas, B.; Styczek, A., Optimal rotary control of the cylinder wake in the laminar regime, Phys. Fluids, 14, 7, 2073-2087, (2002) · Zbl 1185.76304
[35] Protas, B.; Wesfreid, J. E., Drag force in the open-loop control of the cylinder wake in the laminar regime, Phys. Fluids, 14, 2, 810-826, (2002) · Zbl 1184.76437
[36] Roshko, A.
[37] Sarpkaya, T., A critical review of the intrinsic nature of vortex-induced vibrations, J. Fluids Struct., 19, 4, 389-447, (2004)
[38] Sengupta, T. K.; Deb, K.; Talla, S. B., Control of flow using genetic algorithm for a circular cylinder executing rotary oscillation, Comput. Fluids, 36, 3, 578-600, (2007) · Zbl 1177.76114
[39] Shiels, D.; Leonard, A., Investigation of a drag reduction on a circular cylinder in rotary oscillation, J. Fluid Mech., 431, 297-322, (2001) · Zbl 1017.76024
[40] Shih, W. C. L.; Wang, C.; Coles, D.; Roshko, A., Experiments on flow past rough circular cylinders at large Reynolds numbers, J. Wind Engng Ind. Aerodyn., 49, 1-3, 351-368, (1993)
[41] Strykowski, P. J.; Sreenivasan, K. R., On the formation and suppression of vortex shedding at low Reynolds numbers, J. Fluid Mech., 218, 71-107, (1990)
[42] Tokumaru, P. T.; Dimotakis, P. E., Rotary oscillation control of a cylinder wake, J. Fluid Mech., 224, 77-90, (1991)
[43] Williamson, C. H. K., Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers, J. Fluid Mech., 206, 579-627, (1989)
[44] Williamson, C. H. K., Vortex dynamics in the cylinder wake, Annu. Rev. Fluid Mech., 28, 1, 477-539, (1996)
[45] You, D.; Moin, P., Effects of hydrophobic surfaces on the drag and lift of a circular cylinder, Phys. Fluids, 19, 8, (2007) · Zbl 1182.76862
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