0
Research Papers: Flows in Complex Systems

Radial Deformation Frequency Effect on the Three-Dimensional Flow in the Cylinder Wake

[+] Author and Article Information
Mohamed Aissa

CDER/Unit of Applied Research
in Renewable Energy (CDER/URAER),
Ghardaia 47133, Algeria
e-mail: mohamed.aissa28@yahoo.fr

Ahcène Bouabdallah

LTSE University of Sciences and Technology
Houari Boumedienne (USTHB),
Algiers 16111, Algeria
e-mail: abouab2002@yahoo.fr

Hamid Oualli

Fluid Mechanic Laboratory,
School Military Polytechnic (EMP),
Bordj El-Bahri 16045, Algeria
e-mail: houalli@gmail.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received January 6, 2014; final manuscript received July 10, 2014; published online September 10, 2014. Assoc. Editor: Mark F. Tachie.

J. Fluids Eng 137(1), 011104 (Sep 10, 2014) (11 pages) Paper No: FE-14-1008; doi: 10.1115/1.4028008 History: Received January 06, 2014; Revised July 10, 2014

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.

References

Zdravkovich, M. M., 1977, “Review of Flow Interference Between Two Circular Cylinders in Various Arrangements,” ASME J. Fluids Eng., 99(4), pp. 618–633. [CrossRef]
Zdravkovich, M. M., 1997, Flow Around Circular Cylinders Volume 1: Fundamentals, Oxford University, New York.
Williamson, C. H. K., 1996, “Vortex Dynamics in the Cylinder Wake,” Ann. Rev. Fluid Mech, 28, pp. 477–539. [CrossRef]
Sreenivasan, K. R., 1999, “Fluid Turbulence,” Rev. Mod. Phys., 71(2), pp. 383–395. [CrossRef]
Williamson, C. H. K., and Govardhan, R., 2004, “Vortex-Induced Vibrations,” Ann. Rev. Fluid Mech, 36, pp. 413–455. [CrossRef]
Williamson, C. H. K., 1996, “Three-Dimensional Vortex Dynamics in Bluff Body Wakes,” Exp. Therm. Fluid Sci., 12, pp. 150–168. [CrossRef]
Blevins, R. D., 1990, Flow Induced Vibrations, Von Nostrand Reinhold, New York.
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. [CrossRef]
Roshko, A., 1993, “Perspectives on Bluff Body Aerodynamics,” Int. J. Wind Eng. Ind. Aerodyn., 49, pp. 79–100. [CrossRef]
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.
Modi, V. J., 1997, “Moving Surface Boundary-Layer Control,” J. Fluids Struct., 11, pp. 627–663. [CrossRef]
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. [CrossRef]
Mokhtarian, F., and Modi, V. J., 1988, “Fluid Dynamics of Airfoils With Moving Surface Boundary-Layer Control,” J. Aircr., 25, pp. 163–169. [CrossRef]
Ott, E., Grebogi, C., and Yorke, J. A., 1990, “Controlling Chaos,” Phys. Rev. Lett., 64(11), pp. 11–96. [CrossRef]
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. [CrossRef] [PubMed]
Tang, G., Guan, S., and Hu, G., 2005, “Controlling Flow Turbulence With Moving Controllers,” Eur. Phys. J.,B48, pp. 259–264. [CrossRef]
Tang, G. N., and Hu, G., 2006, “Controlling Flow Turbulence Using Local Pinning Feedback,” Chin. Phys. Lett., 23(6), pp. 1523–1526. [CrossRef]
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. [CrossRef]
Gunzburger, M. D., and Lee, H. C., 1996, “Feedback Control of Vortex Shedding,” ASME J. Appl. Mech., 63(3), pp. 828–835. [CrossRef]
Min, C., and Choi, H., 1999, “Suboptimal Feedback Control of Vortex Shedding at Low Reynolds Numbers,” J. Fluid Mech., 401, pp. 123–156. [CrossRef]
Tokumaru, P. T., and Dimotakis, P. E., 1991, “Rotary Oscillation Control of a Cylinder Wake,” J. Fluid Mech., 224, pp. 77–90. [CrossRef]
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. [CrossRef]
Flowcs Williams, J. E., and Zhao, B. C., 1989, “The Active Control of Vortex Shedding,” J. Fluids Struct., 3(2), pp. 115–122. [CrossRef]
Fujisawa, N., and Takeda, G., 2003, “Flow Control Around a Circular Cylinder by Internal Acoustic Excitation,” J. Fluids Struct., 17, pp. 903–913. [CrossRef]
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. [CrossRef]
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. [CrossRef]
Posdziech, O., and Grundmann, R., 2001, “Electromagnetic Control of Seawater Flow Around Circular Cylinders,” Eur. J. Mech. B Fluids, 20, pp. 255–274. [CrossRef]
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. [CrossRef]
Kurimoto, N., Suzuki, Y., and Kasagi, N., 2005, “Active Control of Lifted Diffusion Flumes With Arrayed Micro Actuators,” Exp. Fluids, 39, pp. 995–1008. [CrossRef]
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. 2003-4261 [CrossRef].
Lumley, J., and Blossey, P., 1998, “Control of Turbulence,” Ann. Rev. Fluid Mech., 30, pp. 311–327. [CrossRef]
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. [CrossRef]
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 [CrossRef]
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. [CrossRef]
Williamson, C. H. K., 1996, “Mode-A Secondary Instability in Wake Transition,” Phys. Fluids, 8, pp. 1680–1682. [CrossRef]
Mittal, R., and Balachandar, S., 1995, “Generation of Stream-Wise Vertical Structures in Bluff-Body Wakes,” Phys. Rev. Lett., 75, pp. 1300–1303. [CrossRef] [PubMed]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
Fluent, 6.2., 2006, “User's Guide,” Fluent Inc.
Ferziger, H. J., and Peric, M., 1999, Computational Methods for Fluid Dynamics, Springer-Verlag, Berlin Heidelberg.
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. [CrossRef]
Kang, S., Choi, H., Lee, S., 2005, “Laminar Flow Past Rotating Circular Cylinder,” Phys. Fluids, 47(5), pp. 427–447 [CrossRef].
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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).
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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.
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. [CrossRef]
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. [CrossRef]
Barnes, F. H., and Grant, I., 1983, “Vortex Shedding in Unsteady Flow,” J. Wind Eng. Ind. Aerodyn., 11, pp. 335–344. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Flow domain and boundary conditions

Grahic Jump Location
Fig. 2

Two-dimensional coordinate system and cylinder deformation process

Grahic Jump Location
Fig. 3

3D Computational mesh

Grahic Jump Location
Fig. 4

Sinusoidal drag coefficient signal Re = 100

Grahic Jump Location
Fig. 5

Spectral analysis of drag coefficient signal at Re = 100

Grahic Jump Location
Fig. 6

Results comparison for an impulsively started cylinder at t = 5.00 and Re = 500. Results of Koumoutsakos et al. [52] (a) equivorticity lines and (b) instantaneous streamlines. Coutenceau and Bouard [54] experimental results (c) streamlines. Oualli et al. [53]. (d) equivorticity lines. Present results (e) equivorticity lines.

Grahic Jump Location
Fig. 7

Natural Case: Vorticity contours (s−1) for Re = 550 at t = 0.988 s and t = 2.67 s

Grahic Jump Location
Fig. 8

Vorticity contours (s−1) at relaminarized flow for Re = 550 and (f = 1Fn, f = 3Fn, and f = 4Fn)

Grahic Jump Location
Fig. 9

Vortex shedding and von Kàrmàn street at f = 5Fn = 85 Hz

Grahic Jump Location
Fig.10

Bénard von Kàrmàn vortex street in three-dimensional flow mode-B, respectively, at f = 2Fn = 34 Hz and f = 6Fn = 102 Hz

Grahic Jump Location
Fig. 11

Kelvin Helmholtz eddies formation at f = 34 Hz and f = 102 Hz cases

Grahic Jump Location
Fig. 12

Cross vortex boundary layer formation, respectively, at f = 34 Hz and f = 102 Hz cases

Grahic Jump Location
Fig. 13

Evolution of the mean drag coefficient (CD) and mean lift coefficient (CL) versus the radial deformation frequency

Grahic Jump Location
Fig. 14

Drag coefficient spectrum analysis (f = 0 Hz and f = 34 Hz) and lock-on phenomenon, Re = 550

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In