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Span effect on the turbulence nature of flow past a circular cylinder

Published online by Cambridge University Press:  06 September 2019

Bernat Font Garcia Open the ORCID record for Bernat Font Garcia [Opens in a new window] ,
Gabriel D. Weymouth Open the ORCID record for Gabriel D. Weymouth [Opens in a new window] ,
Vinh-Tan Nguyen Open the ORCID record for Vinh-Tan Nguyen [Opens in a new window]  and
Owen R. Tutty
Bernat Font Garcia
Affiliation:
Faculty of Engineering and Physical Sciences, University of Southampton, Southampton SO17 1BJ, UK Institute of High Performance Computing, Singapore Agency for Science, Technology and Research (A*STAR), 138632, Singapore
Gabriel D. Weymouth*
Affiliation:
Faculty of Engineering and Physical Sciences, University of Southampton, Southampton SO17 1BJ, UK
Vinh-Tan Nguyen
Affiliation:
Institute of High Performance Computing, Singapore Agency for Science, Technology and Research (A*STAR), 138632, Singapore
Owen R. Tutty
Affiliation:
Faculty of Engineering and Physical Sciences, University of Southampton, Southampton SO17 1BJ, UK
*
†Email address for correspondence: g.d.weymouth@soton.ac.uk
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Abstract

Turbulent flow evolution and energy cascades are significantly different in two-dimensional (2-D) and three-dimensional (3-D) flows. Studies have investigated these differences in obstacle-free turbulent flows, but solid boundaries have an important impact on the cross-over from 3-D to 2-D turbulence dynamics. In this work, we investigate the span effect on the turbulence nature of flow past a circular cylinder at $Re=10\,000$. It is found that even for highly anisotropic geometries, 3-D small-scale structures detach from the walls. Additionally, the natural large-scale rotation of the Kármán vortices rapidly two-dimensionalise those structures if the span is 50 % of the diameter or less. We show this is linked to the span being shorter than the Mode B instability wavelength. The conflicting 3-D small-scale structures and 2-D Kármán vortices result in 2-D and 3-D turbulence dynamics which can coexist at certain locations of the wake depending on the domain geometric anisotropy.

JFM classification

Wakes/Jets: Vortex streets Turbulent Flows: Turbulent convection Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 878 , 10 November 2019 , pp. 306 - 323
Copyright
© 2019 Cambridge University Press 

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References

Adams, N. A. & Hickel, S. 2009 Implicit large-eddy simulation: theory and application. In Advances in Turbulence XII, pp. 743–750. Springer.Google Scholar
Bao, Y., Palacios, R., Graham, J. M. R. & Sherwin, S. 2016 Generalized thick strip modelling for vortex-induced vibration of long flexible cylinders. J. Comput. Phys. 321, 1079–1097.Google Scholar
Bao, Y., Zhu, H. B., Huan, P., Wang, R., Zhou, D., Han, Z. L., Palacios, R., Graham, M. & Sherwin, S. 2019 Numerical prediction of vortex-induced vibration of flexible riser with thick strip method. J. Fluids Struct. (in press).Google Scholar
Batchelor, G. K. 1969 Computation of the energy spectrum in homogeneous two-dimensional turbulence. Phys. Fluids 12 (12), II–233–II–239.Google Scholar
Biancofiore, L. 2014 Crossover between two- and three-dimensional turbulence in spatial mixing layers. J. Fluid Mech. 745, 164–179.Google Scholar
Biancofiore, L., Gallaire, F. & Pasquetti, R. 2012 Influence of confinement on obstacle-free turbulent wakes. Comput. Fluids 58, 27–44.Google Scholar
Bloor, M. S. 1964 The transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 19 (2), 290–304.Google Scholar
Boffetta, G. & Ecke, R. E. 2012 Two-dimensional turbulence. Annu. Rev. Fluid Mech. 44, 427–451.Google Scholar
Celani, A., Musacchio, S. & Vincenzi, D. 2010 Turbulence in more than two and less than three dimensions. Phys. Rev. Lett. 104 (18), 184506.Google Scholar
Choi, K.-S. & Lumley, J. L. 2001 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 436, 59–84.Google Scholar
Chyu, C. & Rockwell, D. 1996 Evolution of patterns of streamwise vorticity in the turbulent near wake of a circular cylinder. J. Fluid Mech. 320, 117–137.Google Scholar
Dong, S. & Karniadakis, G. E. 2005 DNS of flow past a stationary and oscillating cylinder at Re = 10 000. J. Fluids Struct. 20, 519–531.Google Scholar
Dritschel, D. G., Scott, R. K., Macaskill, C., Gottwald, G. A. & Tran, C. V. 2008 Unifying scaling theory for vortex dynamics in two-dimensional turbulence. Phys. Rev. Lett. 101, 094501.Google Scholar
Gilbert, A. D. 1988 Spiral structures and spectra in two-dimensional turbulence. J. Fluid Mech. 193, 475–497.Google Scholar
Hendrickson, K., Weymouth, G. D., Yue, D. K.-P. & Yue Yu, X. 2019 Wake behind a three-dimensional dry transom stern. Part 1: flow structure and large-scale air entrainment. J. Fluid Mech. 875, 854–883.Google Scholar
Kourta, A., Boisson, H. C., Chassaing, P. & Ha Minh, H. 1987 Nonlinear interaction and the transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 181, 141–161.Google Scholar
Kraichnan, R. H. 1967 Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417–1423.Google Scholar
Leith, C. E. 1968 Diffusion approximation for two-dimensional turbulence. Phys. Fluids 11, 671–673.Google Scholar
Lumley, J. L. 1978 Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123–176.Google Scholar
Lumley, J. L. & Newman, G. R. 1977 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 82, 161–178.Google Scholar
Maertens, A. P. & Weymouth, G. D. 2015 Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers. Comput. Meth. Appl. Mech. Engng 283, 106–129.Google Scholar
Mittal, R. & Balachandar, S. 1995 Effect of three-dimensionality on the lift and drag of nominally two-dimensional cylinders. Phys. Fluids 7 (8), 1841–1865.Google Scholar
Noack, B. R. 1999 On the flow around a circular cylinder. Part I: laminar and transitional regime. Z. Angew. Math. Mech. J. Appl. Math. Mech. 79, 223–226.Google Scholar
Norberg, C. 2003 Fluctuating lift on a circular cylinder: review and new measurements. J. Fluids Struct. 17, 57–96.Google Scholar
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.Google Scholar
Roshko, A.1954 On the development of turbulent wakes from vortex streets. NACA Rep. 1191. National Advisory Committee for Aeronautics, Washington D.C.Google Scholar
Schulmeister, J. C., Dahl, J. M., Weymouth, G. D. & Triantafyllou, M. S. 2017 Flow control with rotating cylinders. J. Fluid Mech. 825, 743–763.Google Scholar
Smith, L. M., Chasnov, J. R. & Waleffe, F. 1996 Crossover from two- to three-dimensional turbulence. Phys. Rev. Lett. 77 (12), 2467–2470.Google Scholar
Weymouth, G. D. & Yue, D. K. P. 2011 Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems. J. Comput. Phys. 230, 6233–6247.Google Scholar
Williamson, C. H. K. 1996a Three-dimensional wake transition. J. Fluid Mech. 328, 345–407.Google Scholar
Williamson, C. H. K. 1996b Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477–539.Google Scholar
Xia, H., Byrne, D., Falkovich, G. & Shats, M. 2011 Upscale energy transfer in thick turbulent fluid layers. Nat. Phys. 7, 321–324.Google Scholar
Xiao, Z., Wan, M., Chen, S. & Eyink, G. L. 2009 Physical mechanism of the inverse energy cascade of two-dimensional turbulence: a numerical investigation. J. Fluid Mech. 619, 1–44.Google Scholar