In the current paper, the three-dimensional air flow evolution around a circular cylinder is studied. The main aim is to control the flow field upstream and downstream of a circular cylinder by means of radial deformation. Within a particular step, one focuses on the response of the topological structures, which is developing in the cylinder near wake to applied pulsatile motion. Furthermore, a special care is considered to the aerodynamics forces behavior in adjusting the applied controlling strategy. The used controlling frequency range extends from f = 1fn = 17 Hz to f = 6fn = 102.21 Hz, which corresponds to a series of multiharmonic frequency varying from one to six times the natural vortex shedding frequency (VSF) in none forced wake. Throughout this work, the forcing amplitude is fixed at 16% of cylinder diameter and the Reynolds number as Re = 550. Through Fluent computational fluid dynamics (CFD) code and Matlab simulations, the obtained results showed a good accordance with the calculated ones.
Issue Section:
Flows in Complex Systems
References
1.
Zdravkovich
, M. M.
, 1977
, “Review of Flow Interference Between Two Circular Cylinders in Various Arrangements
,” ASME J. Fluids Eng.
, 99
(4
), pp. 618
–633
.10.1115/1.34488712.
Zdravkovich
, M. M.
, 1997
, Flow Around Circular Cylinders Volume 1: Fundamentals
, Oxford University
, New York
.3.
Williamson
, C. H. K.
, 1996
, “Vortex Dynamics in the Cylinder Wake
,” Ann. Rev. Fluid Mech
, 28
, pp. 477
–539
.10.1146/annurev.fl.28.010196.0024014.
Sreenivasan
, K. R.
, 1999
, “Fluid Turbulence
,” Rev. Mod. Phys.
, 71
(2
), pp. 383
–395
.10.1103/RevModPhys.71.S3835.
Williamson
, C. H. K.
, and Govardhan
, R.
, 2004
, “Vortex-Induced Vibrations
,” Ann. Rev. Fluid Mech
, 36
, pp. 413
–455
.10.1146/annurev.fluid.36.050802.1221286.
Williamson
, C. H. K.
, 1996
, “Three-Dimensional Vortex Dynamics in Bluff Body Wakes
,” Exp. Therm. Fluid Sci.
, 12
, pp. 150
–168
.10.1016/0894-1777(95)00085-27.
Blevins
, R. D.
, 1990
, Flow Induced Vibrations
, Von Nostrand Reinhold
, New York
.8.
Patnaik
, B. S. V.
, Narayana
, P. A. A.
, and Seetharamu
, K. N.
, 1999
, “Numerical Simulation of Laminar Flow Past a Transversely Vibrating Circular Cylinder
,” J. Sound Vib
, 228
(3
), pp. 459
–475
.10.1006/jsvi.1998.24189.
Roshko
, A
., 1993
, “Perspectives on Bluff Body Aerodynamics
,” Int. J. Wind Eng. Ind. Aerodyn.
, 49
, pp. 79
–100
.10.1016/0167-6105(93)90007-B10.
Betz
, A
., 1961
, “History of Boundary Layer Control in Germany
,” Boundary Layer and Flow Control
, G. V.
Lachmann
, ed., Pergamon
, New York
, pp. 1
–20
.11.
Modi
, V. J.
, 1997
, “Moving Surface Boundary-Layer Control
,” J. Fluids Struct.
, 11
, pp. 627
–663
.10.1006/jfls.1997.009812.
Kumar
, S.
, Cantu
, C.
, and Gonzalez
, B.
, 2011
, “Flow Past a Rotating Cylinder at Low and High Rotation Rates
,” ASME J. Fluids Eng.
, 133
(4
), p. 041201
.10.1115/1.400398413.
Mokhtarian
, F.
, and Modi
, V. J.
, 1988
, “Fluid Dynamics of Airfoils With Moving Surface Boundary-Layer Control
,” J. Aircr.
, 25
, pp. 163
–169
.10.2514/3.4555714.
Ott
, E.
, Grebogi
, C.
, and Yorke
, J. A.
, 1990
, “Controlling Chaos
,” Phys. Rev. Lett.
, 64
(11
), pp. 11
–96
.15.
Wei
, G. W.
, 2001
, “Synchronization of Single-Side Locally Averaged Adaptive Coupling and Its Application to Shock Capturing
,” Phys. Rev. Lett.
, 86
(16
), pp. 3542
–3545
.10.1103/PhysRevLett.86.354216.
Tang
, G.
, Guan
, S.
, and Hu
, G.
, 2005
, “Controlling Flow Turbulence With Moving Controllers
,” Eur. Phys. J.,
B48
, pp. 259
–264
.10.1140/epjb/e2005-00393-x17.
Tang
, G. N.
, and Hu
, G.
, 2006
, “Controlling Flow Turbulence Using Local Pinning Feedback
,” Chin. Phys. Lett.
, 23
(6
), pp. 1523
–1526
.10.1088/0256-307X/23/6/04618.
Park
, D. S.
, Ladd
, D. M.
, and Hendricks
, E. W.
, 1994
, “Feedback Control of von Kàrmàn Vortex Shedding Behind a Circular Cylinder at Low Reynolds Numbers
,” Phys. Fluids
, 6
, pp. 2390
–2405
.10.1063/1.86818819.
Gunzburger
, M. D.
, and Lee
, H. C.
, 1996
, “Feedback Control of Vortex Shedding
,” ASME J. Appl. Mech.
, 63
(3
), pp. 828
–835
.10.1115/1.282336920.
Min
, C.
, and Choi
, H.
, 1999
, “Suboptimal Feedback Control of Vortex Shedding at Low Reynolds Numbers
,” J. Fluid Mech.
, 401
, pp. 123
–156
.10.1017/S002211209900659X21.
Tokumaru
, P. T.
, and Dimotakis
, P. E.
, 1991
, “Rotary Oscillation Control of a Cylinder Wake
,” J. Fluid Mech.
, 224
, pp. 77
–90
.10.1017/S002211209100165922.
Warui
, H. M.
, and Fujisawa
, N.
, 1996
, “Feedback Control of Vortex Shedding From a Circular Cylinder by Cross-Flow Cylinder Oscillations
,” Exp. Fluids
, 21
, pp. 49
–56
.10.1007/BF0020463523.
Flowcs Williams
, J. E.
, and Zhao
, B. C.
, 1989
, “The Active Control of Vortex Shedding
,” J. Fluids Struct.
, 3
(2), pp. 115
–122
.10.1016/S0889-9746(89)90026-124.
Fujisawa
, N.
, and Takeda
, G.
, 2003
, “Flow Control Around a Circular Cylinder by Internal Acoustic Excitation
,” J. Fluids Struct.
, 17
, pp. 903
–913
.10.1016/S0889-9746(03)00043-425.
Rowley
, C. W.
, and Williams
, D. R.
, 2006
, “Dynamics and Control of High-Reynolds Number Flow Over Cavities
,” Ann. Rev. Fluid Mech.
, 38
, pp. 251
–276
.10.1146/annurev.fluid.38.050304.09205726.
Chen
, Z.
, Fan
, B.
, Zhou
, B.
, and Aubry
, N.
, 2005
, “Control of Vortex Shedding Behind a Circular Cylinder Using Electromagnetic Forces
,” Mod. Phys. Lett. B
, 19
(28/29
), pp. 1627
–1630
.10.1142/S021798490501007427.
Posdziech
, O.
, and Grundmann
, R.
, 2001
, “Electromagnetic Control of Seawater Flow Around Circular Cylinders
,” Eur. J. Mech. B Fluids
, 20
, pp. 255
–274
.10.1016/S0997-7546(00)01111-028.
Cattafesta
, L. N.
, Garg
, S.
, and Shukla
, D.
, 2001
, “Development of Piezo-Electric Actuators for Active Flow Control
,” AIAA J.
, 39
(8
), pp. 1562
–1568
.10.2514/2.148129.
Kurimoto
, N.
, Suzuki
, Y.
, and Kasagi
, N.
, 2005
, “Active Control of Lifted Diffusion Flumes With Arrayed Micro Actuators
,” Exp. Fluids
, 39
, pp. 995
–1008
.10.1007/s00348-005-0033-530.
Gerhard
, J.
, Pastoor
, M.
, King
, R.
, Noack
, B. R.
, Dillmann
, A.
, Morzynski
, M.
, and Tadmor
, G.
, 2003
, “Model-Based Control of Vortex Shedding Using Low-Dimensional Galerkin Models
,” AIAA
Paper No. 2003-426110.2514/6.2003-4262.31.
Lumley
, J.
, and Blossey
, P.
, 1998
, “Control of Turbulence
,” Ann. Rev. Fluid Mech.
, 30
, pp. 311
–327
.10.1146/annurev.fluid.30.1.31132.
Rosetti
, G. F.
, Vaz
, G.
, and Fujarra
, A. L. C.
, 2012
, “URANS Calculations for Smooth Circular Cylinder Flow in a Wide Range of Reynolds Numbers: Solution Verification and Validation
,” ASME J. Fluids Eng.
, 134
(12
), p. 121102
.10.1115/1.400757133.
Williamson
, C. H. K.
, 1989
, “Oblique and Parallel Modes of Vortex Shedding in the Wake of a Circular Cylinder at Low Reynolds Number
,” J. Fluid. Mech.
, 206
, pp. 579
–627
10.1017/S002211208900242934.
Williamson
, C. H. K.
, 1992
, “The Natural and Forced Formation of Spot-Like Vortex-Dislocations in the Transition of a Wake
,” J. Fluid. Mech.
, 243
, pp. 393
–441
.10.1017/S002211209200276335.
Williamson
, C. H. K.
, 1996
, “Mode-A Secondary Instability in Wake Transition
,” Phys. Fluids
, 8
, pp. 1680
–1682
.10.1063/1.86894936.
Mittal
, R.
, and Balachandar
, S.
, 1995
, “Generation of Stream-Wise Vertical Structures in Bluff-Body Wakes
,” Phys. Rev. Lett.
, 75
, pp. 1300
–1303
.10.1103/PhysRevLett.75.130037.
Saha
, A. K.
, Muralidhar
, K.
, and Biswas
, G.
, 2000
, “Numerical Simulation of Transition and Chaos in Two Dimensional Flow Past a Square Cylinder
,” ASCE J. Eng. Mech.
, 126
(5), pp. 523
–532
.10.1061/(ASCE)0733-9399(2000)126:5(523)38.
Saha
, A. K.
, Muralidhar
, K.
, and Biswas
, G.
, 2000b
, “Vortex Structures and Kinetic Energy Budget in Two Dimensional Flow Past a Square Cylinder
,” Comput. Fluids
, 29
, pp. 669
–694
.10.1016/S0045-7930(99)00021-339.
Robichau
, J.
, Balachandar
, S.
, and Vanka
, S. P.
, 1999
, “Three-Dimensional Floquet Instability of the Wake of Square Cylinder
,” Phys. Fluids
, 11
, pp. 560
–578
.10.1063/1.86993040.
Sohankar
, A.
, Norberg
, C.
, and Davidson
, L.
, 1999
, “Simulation of Three-Dimensional Flow Around a Square Cylinder at Moderate Reynolds Numbers
,” Phys. Fluids
, 11
, pp. 288
–306
.10.1063/1.86987941.
Patankar
, S. V.
, 1980
, Numerical Heat Transfer and Fluid Flow
, Hemisphere
, Washington, DC
.42.
Fluent, 6.2., 2006, “User's Guide,” Fluent Inc.
43.
Ferziger
, H. J.
, and Peric
, M.
, 1999
, Computational Methods for Fluid Dynamics
, Springer-Verlag
, Berlin Heidelberg
.44.
Engelman
, M. S.
, and Jamina
, M.-A.
, 1990
, “Transient Flow Past a Circular Cylinder: a Bench Mark Solution
,” Int. J. Numer. Methods Fluids
, 11
(7
), pp. 985
–1000
.10.1002/fld.165011070645.
Kang
, S.
, Choi, H., Lee, S., 2005
, “Laminar Flow Past Rotating Circular Cylinder
,” Phys. Fluids
, 47
(5
), pp. 427
–447
10.1063/1.870190.46.
Beher
, M.
, Liou, J., Shih, R., and Tezduyar, T. E., 1991
, “Vorticity-Stream Function Formulation of Unsteady Incompressible Past a Circular Cylinder: Sensitivity of the Computed Flow Field to the Location of the Outflow Boundary
,” Int. J. Numer. Methods Fluids
, 12
, pp. 323
–342
.10.1002/fld.165012040347.
Sharman
, B.
, Lien, F. S., Davidson, L., Norberg, C., 2005
, “Numerical Prediction of Low Reynolds Number Flow Over Two Tandem Circular Cylinders
,” Int. J. Numer. Methods Fluids
, 47
(5
), pp. 427
–447
.10.1002/fld.81248.
Jordan
, S. K.
, and Fromm
, J. E.
, 1972
, “Oscillating Drag, Lift, Torque on a Circular Cylinder in a Uniform Flow
,” Phys Fluids
, 15
(3
), pp. 371
–376
.10.1063/1.169391849.
Burbeau
, A.
, and Sagaut
, P.
, 2002
, “Simulation of a Viscous Compressible Flow Past a Circular Cylinder With Higher Order of Discontinuous Galarkin Methods
,” Comput. Fluids
, 31
, pp. 867
–889
.10.1016/S0045-7930(01)00055-X50.
Posdziech
, O.
, and Grundmann
, R.
, 2007
, “A Systematic Approach to the Numerical Calculation of Fundamental Quantities of the Two Dimensional Flow Over a Circular Cylinder
,” J. Fluids Struct.
, 23
, pp. 479
–499
.10.1016/j.jfluidstructs.2006.09.00451.
Muddada
, S.
, and Patnaik
, B. S. V.
, 2010
, “An Active Flow Control Strategy for the Suppression of Vortex Structures Behind a Circular Cylinder
,” Eur. J. Mech. B/Fluids
, 29
, pp. 93
–104
.10.1016/j.euromechflu.2009.11.00252.
Koumotsakos
, P.
, and Leonard
, A.
, 1995
, “High Resolution Simulations of the Flow Around an Impulsively Started Cylinder Using Vortex Method
,” J. Fluid Mech.
, 196
, pp. 1
–38
.10.1017/S002211209500205953.
Oualli
, H.
, Hanchi, H., Bouabdallah, A., Askovic, R., and Gad-el-Hak. M., 2005
, “Drag Reduction in a Radially Pulsating Cylinder at Moderate Reynolds Number
,” Bull. Am. Phys. Soc.
, 50
(9
).54.
Coutenceau
, M.
, and Bouard
, R.
, 1980
, “The Early Stage of Development of the Wake Behind an Impulsively Started Cylinder for 40 < Re < 104
,” J. Fluid Mech.
, 101
, pp. 583
–607
.10.1017/S002211208000181455.
Fournier
, G.
, Pellerin
, S.
, and Ta Phuoc
, L.
, 2005
, “Contrôle par Rotation ou par Aspiration de L’écoulement Autour D'uncylindre Calculé par Simulation des Grandes Échelles
,” C. R. Mec.
, 333
, pp. 273
–278
.10.1016/j.crme.2004.11.00156.
Muralidharan
, K.
, Sridhar
, M.
, and Patnaik
, B. S. V.
, 2013
, “Numerical Simulation of Vortex Induced Vibrations and Its Control by Suction and Blowing
,” Appl. Math. Modell.
, 37
, pp. 284
–307
.10.1016/j.apm.2012.02.02857.
Inou
, O.
, Yamazaki
, T.
, and Bisaka
, T.
, 1995
, “Numerical Simulation of Forced Wakes Around a Cylinder
,” Int. J. Heat Fluid Flow
, 16
, pp. 327
–332
.10.1016/0142-727X(95)00054-T58.
Matsui
, T.
, and Okude
, M.
, 1982
, “Formation of the Secondary Vortex Street in the Wake of a Circular Cylinder
,” Proceedings of the IUTAM Symposium on Structures of Compressible Turbulent Shear flow
, Marseille, France, Springer, Berlin
, pp. 156
–164
.59.
Dong
, S.
, Karniadakis
, G. E.
, Ekmekci
, A.
, and Rockwell
, D. A.
, 2006
, “Combined DNS PIV Study of the Turbulent Near Wake
,” J. Fluids Mech.
, 569
, pp. 185
–207
.10.1017/S002211200600260660.
Chyu
, C.
, Linand
, J.-C.
, Sheridan
, J.
, and Rockwell
, D.
, 1995
, “Kàrmàn Vortex Formation From a Cylinder: Role of Phase-Locked Kelvin Helmholtz Vortices
,” Phys. Fluids
, 7
(9
), pp. 228
–890
.10.1063/1.86847761.
Barnes
, F. H.
, and Grant
, I.
, 1983
, “Vortex Shedding in Unsteady Flow
,” J. Wind Eng. Ind. Aerodyn.
, 11
, pp. 335
–344
.10.1016/0167-6105(83)90111-362.
Barbi
, C.
, Favier
, D. P.
, Maresca
, C. A.
, and Telionis
, P. D.
, 1986
, “Vortex Shedding and Lock-On of a Circular Cylinder in Oscillatory Flow
,” J. Fluid Mech.
, 170
, pp. 527
–544
.10.1017/S002211208600100363.
Armstrong
, B. J.
, Barnes
, F. H.
, and Grant
, I.
, 1986
, “The Effect of a Perturbation on the Flow Over a Bluff Cylinder
,” Phys. Fluids
, 29
, pp. 2095
–2102
.10.1063/1.86559664.
Konstantinidis
, E.
, Balabani
, S.
, and Yianneskis
, M.
, 2003
, “The Effect of Flow Perturbations on the Near Wake Characteristics of a Circular Cylinder
,” J. Fluids Struct.
, 18
, pp. 367
–386
.10.1016/j.jfluidstructs.2003.07.00665.
Jaza
, A.
, and Podolski
, M.
, 2004
, “Turbulence Structure in the Vortex Formation Region Behind a Circular Cylinder in Lock-On Conditions
,” Eur. J. Mech. B/Fluids
, 23
(3
), pp. 353
–360
.10.1016/j.euromechflu.2003.09.004Copyright © 2015 by ASME
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