Abstract
In the present study, we perform a proportional feedback control of laminar flow over a hemisphere at Re = 300 to reduce its lift fluctuations by attenuating the strength of the vortex shedding. As a control input, blowing/suction is distributed on the surface of hemisphere before the separation, and its strength is linearly proportional to the transverse velocity at a sensing location in the centerline of the wake. The sensing location is determined based on a correlation function between the lift force and the time derivative of sensing velocity. The optimal proportional gains for the proportional control are obtained for the sensing locations considered. The present control successfully attenuates the velocity fluctuations at the sensing location and three dimensional vortical structures in the wake, resulting in the reduction of lift fluctuations of hemisphere.
Similar content being viewed by others
References
H. Choi, W.-P. Jeon and J. Kim, Control of flow over a bluff body, Annu. Rev. Fluid Mech., 40 (2008) 113–139.
K. Roussopoulos, Feedback control of vortex shedding at low Reynolds numbers, J. Fluid Mech., 248 (1993) 267–296.
D. S. Park, D. M. Ladd and E. W. Hendricks, Feedback control of von Karman vortex shedding behind a circular cylinder at low Reynolds numbers, Phys. Fluids, 6 (1994) 2390–2405.
X. Y. Huang, Feedback control of vortex shedding from a circular cylinder, Exp. Fluids, 20 (1996) 218–224.
H. M. Warui and N. Fujisawa, Feedback control of vortex shedding from a circular cylinder by cross-flow cylinder oscillations, Exp. Fluids, 21 (1996) 49–56.
D. Son, S. Jeon and H. Choi, A A proportional-integraldifferential control of flow over a circular cylinder, Phil. Trans. R. Soc. A, 369 (2011) 1540–1555.
M. M. Zhang, L. Cheng and Y. Zhou, Closed-loop-controlled vortex shedding and vibration of a flexibly supported square cylinder under different schemes, Phys. Fluids, 16 (2004) 1439–1448.
J. Weller, S. Camarri and A. Iollo, Feedback control by loworder modelling of the laminar flow past a bluff body, J. Fluid Mech., 634 (2009) 405–418.
J. T. Pinier, J. M. Ausseur, M. N. Glauser and H. Higuchi, Proportional closed-loop feedback control of flow separation, AIAA J., 45 (2007) 181–190.
M. Pastoor, L. Henning, B. R. Noack, R. King and G. Tadmor, Feedback shear layer control for bluff body drag reduction, J. Fluid Mech., 608 (2008) 161–196.
S. Jeon, Active controls of unsteady laminar flow over a sphere, Ph.D. Thesis, Seoul National University (2009).
D. Kim and H. Choi, Laminar flow past a hemisphere, Phys. Fluids, 15 (2003) 2457–2460.
J. Kim, D. Kim and H. Choi, An immersed-boundary finite volume method for simulations of flow in complex geometries, J. Comput. Phys., 171 (2001) 132–150.
J. Kim and P. Moin, Application of a fractional step method to incompressible Navier-Stokes equations, J. Comput. Phys., 59 (1985) 308–323.
D. Son, A proportional-integral-differential control of flows over a circular cylinder and in a turbulent plane diffuser, Ph.D. Thesis, Seoul National University (2014).
J. Jeong and F. Hussain, On the identification of a vortex, J. Fluid Mech., 285 (1995) 69–94.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Donghyun You
Jungil Lee obtained his B.S. and Ph.D. degrees at the Department of Mechanical Engineering, Seoul National University, Korea, in 2003 and 2010, respectively. Dr. Lee is currently an Assistant Professor at the Department of Mechanical Engineering, Ajou University, Korea. His research interests include turbulence, turbulence modeling, flow control and computational fluid mechanics.
Rights and permissions
About this article
Cite this article
Lee, J., Son, D. Proportional feedback control of laminar flow over a hemisphere. J Mech Sci Technol 30, 3667–3672 (2016). https://doi.org/10.1007/s12206-016-0728-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-016-0728-y