Skip to main content
SpringerLink
Log in

Investigating wake structures in flow past oscillating cylinder using proper orthogonal decomposition

  • Published:
Sādhanā Aims and scope Submit manuscript

Abstract

The present study investigates unsteady wake dynamics in flow past an oscillating cylinder. A two-dimensional computational analysis is undertaken for flow past a sinusoidally oscillating cylinder. Operating parameters like Reynolds number, forcing frequency, amplitude, and wavelength are systematically varied, and their effect on wake dynamics is investigated. Lift and drag coefficients are plotted with cylinder position to characterize the flow. The flow field is analyzed using Proper Orthogonal Decomposition (POD). POD mode shapes and Power Spectral Density (PSD) plots characterize the flow response to cylinder oscillations. The effect of frequency ratio is examined in achieving synchronized vortex shedding. Previous studies focus on two extremes- the cylinder is either stationary or oscillating with perfect phase-locking. Flow past an oscillating cylinder where Karman and forcing frequencies compete for dominance is rarely reported. This paper considers such a scenario and demonstrates how POD can identify coherent structures, their significance, and associated frequencies. Further, non-symmetric vortex shedding, which is not a common observation, is captured and discussed. Large amplitude and large wavelength regimes are investigated, which remained unexplored in previous research. Coherent structures associated with those regimes are identified.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9

Similar content being viewed by others

References

  1. Bearman P W 1984 Vortex shedding from oscillating bluff bodies. Annual Review of Fluid Mechanics 16(1): 195–222

    Article  ADS  Google Scholar 

  2. Williamson C H K and Govardhan R 2004 Vortex-induced vibrations. Annual Review of Fluid Mechanics 36(1): 413–455

    Article  ADS  MathSciNet  Google Scholar 

  3. Williamson C H K and Govardhan R 2008 A brief review of recent results in vortex-induced vibrations. Journal of Wind Engineering and Industrial Aerodynamics 96(6–7): 713–735

    Article  Google Scholar 

  4. Williamson C H K and Roshko A 1988 Vortex formation in the wake of an oscillating cylinder. Journal of Fluids and Structures 2(4): 355–381

    Article  ADS  Google Scholar 

  5. Sarpkaya T 2004 A critical review of the intrinsic nature of vortex-induced vibrations. Journal of Fluids and Structures 19(4): 389–447

    Article  ADS  Google Scholar 

  6. Griffin O M and Ramberg S E 1974 The vortex-street wakes of vibrating cylinders. Journal of Fluid Mechanics 66(3): 553–576

    Article  ADS  Google Scholar 

  7. Blackburn H M and Henderson R D 1999 A study of two-dimensional flow past an oscillating cylinder. Journal of Fluid Mechanics. 385: 255–286

    Article  ADS  MathSciNet  CAS  Google Scholar 

  8. Carberry J, Sheridan J and Rockwell D 2001 Forces and wake modes of an oscillating cylinder. Journal of Fluids and Structures 15(3–4): 523–532

    Article  ADS  Google Scholar 

  9. Carberry J, Sheridan J and Rockwell D 2003 Controlled oscillations of a cylinder: a new wake state. Journal of Fluids and Structures 17(2): 337–343

    Article  ADS  Google Scholar 

  10. Guilmineau E and Queutey P 2002 A numerical simulation of vortex shedding from an oscillating circular cylinder. Journal of Fluids and Structures 16(6): 773–794

    Article  ADS  Google Scholar 

  11. Kim S, Wilson P A and Chen Z M 2014 Numerical simulation of force and wake mode of an oscillating cylinder. Journal of Fluids and Structures 44: 216–225

    Article  ADS  Google Scholar 

  12. Ongoren A and Rockwell D 1988 Flow structure from an oscillating cylinder Part 2. Mode competition in the near wake. Journal of Fluid Mechanics 191: 225–245

    Article  ADS  Google Scholar 

  13. Ongoren A and Rockwell D 1988 Flow structure from an oscillating cylinder Part 1. Mechanisms of phase shift and recovery in the near wake. Journal of Fluid Mechanics 191: 197–223

    Article  ADS  Google Scholar 

  14. Lu X Y and Dalton C 1996 Calculation of the timing of vortex formation from an oscillating cylinder. Journal of Fluids and Structures 10(5): 527–541

    Article  ADS  Google Scholar 

  15. Riches G, Martinuzzi R and Morton C 2018 Proper orthogonal decomposition analysis of a circular cylinder undergoing vortex-induced vibrations. Physics of Fluids 30(10): 105103

    Article  ADS  Google Scholar 

  16. Konstantinidis E, Balabani S and Yianneskis M 2007 Bimodal vortex shedding in a perturbed cylinder wake. Physics of Fluids 19(1): 011701

    Article  ADS  Google Scholar 

  17. Zhang M and Zheng Z C 2018 Relations of POD modes and Lyapunov exponents to the nonlinear dynamic states in flow over oscillating tandem cylinders. Physics of Fluids 30(12): 123602

    Article  ADS  Google Scholar 

  18. Yao W and Jaiman R K 2017 Model reduction and mechanism for the vortex-induced vibrations of bluff bodies. Journal of Fluid Mechanics 827: 357–393

    Article  ADS  MathSciNet  Google Scholar 

  19. Nabatian N and Mureithi N W 2015 Lock-On Vortex Shedding Patterns and Bifurcation Analysis of the Forced Streamwise Oscillation of the Cylinder Wake. International Journal of Bifurcation and Chaos 25(09): 1530022

    Article  ADS  MathSciNet  Google Scholar 

  20. Olinger D J and Sreenivasan K R 1988 Nonlinear dynamics of the wake of an oscillating cylinder. Physical Review Letters 60(9): 797

    Article  ADS  CAS  PubMed  Google Scholar 

  21. ANSYS Inc, 2015 ANSYS Fluent Theory Guide 12.0

  22. Patankar S V 2018 Numerical heat transfer and fluid flow. CRC Press, Boca Raton

    Book  Google Scholar 

  23. Berkooz G, Holmes P and Lumley J L 1993 The proper orthogonal decomposition in the analysis of turbulent flows. Annual Review of Fluid Mechanics 25(1): 539–575

    Article  ADS  MathSciNet  Google Scholar 

  24. Taira K, Brunton S L, Dawson S T, Rowley C W, Colonius T and McKeon B J et al. 2017 Modal analysis of fluid flows: An overview. AIAA Journal 55(12): 4013–4041

    Article  ADS  Google Scholar 

  25. Taira K, Hemati M S, Brunton S L, Sun Y, Duraisamy K and Bagheri S et al. 2020 Modal analysis of fluid flows: Applications and outlook. AIAA Journal 58(3): 998–1022

    Article  ADS  Google Scholar 

  26. Sinha A and Ravikrishna R V 2019 Experimental studies on structure of airblast spray in crossflow. Sādhanā 44(5): 1–13

    Article  Google Scholar 

  27. Decuyper J, De Troyer T, Runacres M C, Tiels K and Schoukens J 2018 Nonlinear state-space modelling of the kinematics of an oscillating circular cylinder in a fluid flow. Mechanical Systems and Signal Processing 98: 209–230

    Article  ADS  Google Scholar 

  28. Dong S and Karniadakis G E 2005 DNS of flow past a stationary and oscillating cylinder at Re= 10000. Journal of Fluids and Structures 20(4): 519–531

    Article  ADS  Google Scholar 

  29. Prasanth T K and Mittal S 2008 Vortex-induced vibrations of a circular cylinder at low Reynolds numbers. Journal of Fluid Mechanics 594: 463–491

    Article  ADS  Google Scholar 

  30. Cheng L, Ju X, Tong F and An H 2020 Transition to chaos through period doublings of a forced oscillating cylinder in steady current. Journal of Fluid Mechanics 887: A5

    Article  ADS  MathSciNet  Google Scholar 

  31. Lei C, Cheng L, Armfield S W and Kavanagh K 2000 Vortex shedding suppression for flow over a circular cylinder near a plane boundary. Ocean Engineering 27(10): 1109–1127

    Article  Google Scholar 

  32. Chyu C K and Rockwell D 1996 Near-wake structure of an oscillating cylinder: effect of controlled shear-layer vortices. Journal of Fluid Mechanics 322: 21–49

    Article  ADS  Google Scholar 

  33. Carberry J, Sheridan J and Rockwell D 2005 Controlled oscillations of a cylinder: forces and wake modes. Journal of Fluid Mechanics 538: 31–69

    Article  ADS  Google Scholar 

Download references

Acknowledgments

The authors gratefully acknowledge the support provided by the Science and Engineering Research Board (SERB), Government of India, through their Start-up Research Grant scheme.

Author information

Authors and Affiliations

  1. Department of Mechanics, KTH Royal Institute of Technology, Stockholm, Sweden

    I V L N Parasuram

  2. Department of Mechanical Engineering, Indian Institute of Technology (BHU), Varanasi, 221005, India

    Anubhav Sinha

Authors
  1. I V L N Parasuram
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anubhav Sinha
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anubhav Sinha.

Appendix A

Appendix A

See figures 10, 11, 12 and 13.

Figure 10
figure 10

Modal energy distribution using different number of snapshots.

Full size image
Figure 11
figure 11

Modal energies of POD modes for all cases.

Full size image
Figure 12
figure 12

Schematic of various regimes, adapted from Williamson and Roshko [4].

Full size image
Figure 13
figure 13

Regime map for flow past oscillating cylinder (larger domain), adapted from Williamson and Roshko [4].

Full size image

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Parasuram, I.V.L.N., Sinha, A. Investigating wake structures in flow past oscillating cylinder using proper orthogonal decomposition. Sādhanā 49, 79 (2024). https://doi.org/10.1007/s12046-023-02348-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12046-023-02348-0

Keywords

Search

Navigation