Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-29T22:50:10.372Z Has data issue: false hasContentIssue false

Impact of body inclination on the flow past a rotating cylinder

Published online by Cambridge University Press:  02 August 2021

Rémi Bourguet*
Affiliation:
Institut de Mécanique des Fluides de Toulouse, Université de Toulouse and CNRS, Toulouse31400, France
*
Email address for correspondence: [email protected]

Abstract

The rotation applied to a circular cylinder, rigidly mounted in a current perpendicular to its axis, can result in the suppression of vortex shedding and of the associated force fluctuations. It also causes the emergence of a myriad of two- and three-dimensional flow regimes. The present paper explores numerically the impact of a deviation from the normal incidence configuration, by considering a rotating cylinder inclined in the current. The Reynolds number based on the body diameter and the magnitude of the current velocity component normal to its axis ($U_\perp$) is set to $100$. The range of values of the rotation rate (ratio between body surface velocity and $U_\perp$, $\alpha \in [0,5.5]$) encompasses the two unsteady flow regions and three-dimensional transition identified at normal incidence. The inclination angle ($\theta$) refers to the angle between the current direction and the plane perpendicular to the cylinder axis. A low inclination angle ($\theta \in \{15^\circ ,30^\circ \}$), i.e. slight deviation from normal incidence ($\theta =0^\circ$), has a limited influence on the global evolution of the flow with $\alpha$, which can be predicted via the independence principle (IP), based on $U_\perp$ only. This highlights the robustness of prior observations made for $\theta =0^\circ$. Some effects of the axial flow are, however, uncovered in the high-$\alpha$ range; in particular, the single-sided vortex shedding is replaced by an irregular streamwise-oriented structure. In contrast, a large inclination angle ($\theta =75^\circ$) leads to a major reorganization of flow evolution scenario over the entire $\alpha$ range, with the disappearance of all steady regimes, the occurrence of structures reflecting the pronounced asymmetry of the configuration (oblique shedding, strongly slanted vorticity tongues) and a dramatic departure of fluid forces from the IP prediction.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bourguet, R. 2020 Two-degree-of-freedom flow-induced vibrations of a rotating cylinder. J. Fluid Mech. 897, A31.CrossRefGoogle Scholar
Bourguet, R. & Triantafyllou, M.S. 2015 Vortex-induced vibrations of a flexible cylinder at large inclination angle. Phil. Trans. R. Soc. Lond. A 373, 20140108.Google ScholarPubMed
Díaz, F., Gavaldà, J., Kawall, J.G., Keffer, J.F. & Giralt, F. 1983 Vortex shedding from a spinning cylinder. Phys. Fluids 26, 3454.CrossRefGoogle Scholar
Kang, S., Choi, H. & Lee, S. 1999 Laminar flow past a rotating circular cylinder. Phys. Fluids 11, 3312.CrossRefGoogle Scholar
Karniadakis, G.E. & Sherwin, S. 1999 Spectral/hp Element Methods for CFD, 1st edn. Oxford University Press.Google Scholar
Kozakiewicz, A., Fredsøe, J. & Sumer, B. 1995 Forces on pipelines in oblique attack: steady current and waves. In Proceedings of the Fifth International Offshore and Polar Engineering Conference, vol. I-95-121.Google Scholar
Lucor, D. & Karniadakis, G.E. 2003 Effects of oblique inflow in vortex-induced vibrations. Flow Turbul. Combust. 71, 375389.CrossRefGoogle Scholar
Mittal, S. & Kumar, B. 2003 Flow past a rotating cylinder. J. Fluid Mech. 476, 303334.CrossRefGoogle Scholar
Modi, V.J. 1997 Moving surface boundary-layer control: a review. J. Fluids Struct. 11, 627663.CrossRefGoogle Scholar
Navrose, M.J. & Mittal, S. 2015 Three-dimensional flow past a rotating cylinder. J. Fluid Mech. 766, 2853.CrossRefGoogle Scholar
Pralits, J.O., Giannetti, F. & Brandt, L. 2013 Three-dimensional instability of the flow around a rotating circular cylinder. J. Fluid Mech. 730, 518.CrossRefGoogle Scholar
Prandtl, L. 1926 Application of the ‘Magnus effect’ to the wind propulsion of ships. NACA Tech. Mem. 367.Google Scholar
Radi, A., Thompson, M.C., Rao, A., Hourigan, K. & Sheridan, J. 2013 Experimental evidence of new three-dimensional modes in the wake of a rotating cylinder. J. Fluid Mech. 734, 567594.CrossRefGoogle Scholar
Ramberg, S.E. 1983 The effects of yaw and finite length upon the vortex wakes of stationary and vibrating circular cylinders. J. Fluid Mech. 128, 81107.CrossRefGoogle Scholar
Rao, A., Leontini, J.S., Thompson, M.C. & Hourigan, K. 2013 Three-dimensionality in the wake of a rapidly rotating cylinder in uniform flow. J. Fluid Mech. 730, 379391.CrossRefGoogle Scholar
Rao, A., Radi, A., Leontini, J.S., Thompson, M.C., Sheridan, J. & Hourigan, K. 2015 A review of rotating cylinder wake transitions. J. Fluids Struct. 53, 214.CrossRefGoogle Scholar
Stojković, D., Schön, P., Breuer, M. & Durst, F. 2003 On the new vortex shedding mode past a rotating circular cylinder. Phys. Fluids 15, 1257.CrossRefGoogle Scholar
Thakur, A., Liu, X. & Marshall, J.S. 2004 Wake flow of single and multiple yawed cylinders. Trans. ASME J. Fluids Engng 126, 861870.CrossRefGoogle Scholar
Van Atta, C.W. 1968 Experiments on vortex shedding from yawed circular cylinders. AIAA J. 6, 931933.CrossRefGoogle Scholar
Willden, R.H.J. & Guerbi, M. 2010 Vortex dynamics of stationary and oscillating cylinders in yawed flow. In IUTAM Symposium on Bluff Body Wakes and Vortex-Induced Vibrations (BBVIV-6), pp. 47–54.Google Scholar
Williamson, C.H.K. 1996 Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477538.CrossRefGoogle Scholar
Zhao, M., Cheng, L. & Zhou, T. 2009 Direct numerical simulation of three-dimensional flow past a yawed circular cylinder of infinite length. J. Fluids Struct. 25, 831847.CrossRefGoogle Scholar
Zhou, T., Razali, S.F.M., Zhou, Y., Chua, L.P. & Cheng, L. 2009 Dependence of the wake on inclination of a stationary cylinder. Exp. Fluids 46, 11251138.CrossRefGoogle Scholar