Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-06-17T21:39:14.243Z Has data issue: false hasContentIssue false

Flow control with rotating cylinders

Published online by Cambridge University Press:  21 July 2017

James C. Schulmeister*
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA 02139, USA
J. M. Dahl
Affiliation:
Department of Ocean Engineering, University of Rhode Island, 215 South Ferry Road, Narragansett, RI 02882, USA
G. D. Weymouth
Affiliation:
Southampton Marine and Maritime Institute, University of Southampton, Southampton SO17 1BJ, UK
M. S. Triantafyllou
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA 02139, USA
*
Email address for correspondence: jschul@mit.edu

Abstract

We study the use of small counter-rotating cylinders to control the streaming flow past a larger main cylinder for drag reduction. In a water tunnel experiment at a Reynolds number of 47 000 with a three-dimensional and turbulent wake, particle image velocimetry (PIV) measurements show that rotating cylinders narrow the mean wake and shorten the recirculation length. The drag of the main cylinder was measured to reduce by up to 45 %. To examine the physical mechanism of the flow control in detail, a series of two-dimensional numerical simulations at a Reynolds number equal to 500 were conducted. These simulations investigated a range of control cylinder diameters in addition to rotation rates and gaps to the main cylinder. Effectively controlled simulated flows present a streamline that separates from the main cylinder, passes around the control cylinder, and reattaches to the main cylinder at a higher pressure. The computed pressure recovery from the separation to reattachment points collapses with respect to a new scaling, which indicates that the control mechanism is viscous.

Type
Papers
Copyright
© 2017 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

Beaudoin, J. F., Cadot, O., Aider, J. L. & Wesfreid, J. E. 2006 Drag reduction of a bluff body using adaptive control methods. Phys. Fluids 18, 110.Google Scholar
Cattafesta, L. N. & Sheplak, M. 2011 Actuators for active flow control. Annu. Rev. Fluid Mech. 43, 247272.Google Scholar
Cheng, M. & Luo, L. 2007 Characteristics of two-dimensional flow around a rotating circular cylinder near a plane wall. Phys. Fluids 19, 063601, 117.Google Scholar
Choi, H., Jeon, W. & Kim, J. 2008 Control of flow over a bluff body. Annu. Rev. Fluid Mech. 40, 113139.CrossRefGoogle Scholar
Henderson, R. D. 1995 Details of the drag curve near the onset of vortex shedding. Phys. Fluids 7, 2102.Google Scholar
Hoerner, S. F. & Borst, H. V. 1985 Fluid-Dynamic Lift: Practical Information on Aerodynamic and Hydrodynamic Lift. L. A. Hoerner.Google Scholar
Kang, S., Choi, H. & Lee, S. 1999 Laminar flow past a rotating circular cylinder. Phys. Fluids 11, 3312.Google Scholar
Korkischko, I. & Meneghini, J. R. 2012 Suppression of vortex-induced vibration using moving surface boundary-layer control. J. Fluids Struct. 34, 259270.CrossRefGoogle Scholar
Kumar, S., Cantu, C. & Gonzalez, B. 2011 Flow past a rotating cylinder at low and high rotation rates. J. Fluids Engng 133 (4), 041201.Google Scholar
Lim, T. T., Sengupta, T. K. & Chattopadhyay, M. 2004 A visual study of vortex-induced subcritical instability on a flat plate laminar boundary layer. Exp. Fluids 37 (1), 4755.CrossRefGoogle 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, 106129.Google Scholar
Mittal, S. 2001 Control of flow past bluff bodies using rotating control cylinders. J. Fluids Struct. 15, 291326.Google Scholar
Mittal, S. 2003 Flow control using rotating cylinders: effect of gap. Trans. ASME J. Appl. Mech. 70, 762770.Google Scholar
Modi, V. J. 1997 Moving surface boundary-layer control: a review. J. Fluids Struct. 11, 627663.Google Scholar
Morse, T. L., Govardhan, R. N. & Williamson, C. H. K. 2008 The effect of end conditions on the vortex-induced vibration of cylinders. J. Fluids Struct. 24, 12271239.Google Scholar
Muddada, S. & Patnaik, B. S. B. 2010 An active flow control strategy for the suppression of vortex structures behind a circular cylinder. Eur. J. Mech. (B/Fluids) 29, 93104.CrossRefGoogle Scholar
Padrino, J. C. & Joseph, D. D. 2006 Numerical study of the steady-state uniform flow past a rotating cylinder. J. Fluid Mech. 557, 191223.Google Scholar
Patnaik, B. S. B. & Wei, G. W. 2002 Controlling wake turbulence. Phys. Rev. Lett. 88, 054502054504.CrossRefGoogle ScholarPubMed
Prandtl, L.1926 Application of the ‘Magnus effect’ to the wind propulsion of ships. NACA Tech. Mem. 367.Google Scholar
Rao, A., Stewart, B. E., Thompson, M. C., Leweke, T. & Hourigan, K. 2011 Flows past rotating cylinders next to a wall. J. Fluids Struct. 27, 668679.Google Scholar
Rao, A., Thompson, M. C., Leweke, T. & Hourigan, K. 2015 Flow past a rotating cylinder translating at different gap heights along a wall. J. Fluids Struct. 57, 314330.Google Scholar
van Rees, W. M., Novati, G. & Koumoutsakos, P. 2015 Self-propulsion of a counter-rotating cylinder pair in a viscous fluid. Phys. Fluids 27, 063102.Google Scholar
Seifert, A. 2007 Closed-loop active flow control systems: actuators. In Active Flow Control (ed. King, R.), Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 95, pp. 80102. Springer.CrossRefGoogle Scholar
Sengupta, T. K., De, S. & Sarkar, S. 2003a Vortex-induced instability of an incompressible wall-bounded shear layer. J. Fluid Mech. 493, 277286.Google Scholar
Sengupta, T. K., Kasliwal, A., De, S. & Nair, M. 2003b Temporal flow instability for Magnus–Robins effect at high rotation rates. J. Fluids Struct. 17, 941953.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, 71107.CrossRefGoogle Scholar
Synolakis, C. E. & Badeer, H. S. 1989 On combining the Bernoulli and Poiseuille equation – a plea to authors of college physics texts. Am. J. Phys. 57, 1013.CrossRefGoogle Scholar
Tokumaru, P. T. & Dimotakis, P. E. 1993 The lift of a cylinder executing rotary motions in a uniform flow. J. Fluid Mech. 255, 110.CrossRefGoogle Scholar
West, G. S. & Apelt, C. J. 1982 The effects of tunnel blockage and aspect ratio on the mean flow past a circular cylinder with Reynolds numbers between 104 and 105 . J. Fluid Mech. 114, 361377.CrossRefGoogle 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, 62336247.Google Scholar
Ye, T., Mittal, R., Udaykumar, H. S. & Shyy, W. 1999 An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. J. Comput. Phys. 156, 209240.Google Scholar
Zdravkovich, M. M. 1997 Flow Around Circular Cylinders: Volume 1: Fundamentals. Oxford Science Publications.CrossRefGoogle Scholar
Zhu, H., Yao, J., Ma, Y., Zhao, H. & Tang, Y. 2015 Simultaneous CFD evaluation of VIV suppression using smaller control cylinders. J. Fluids Struct. 57, 6680.CrossRefGoogle Scholar