Skip to main content

Stability and Control on a Low Aspect Ratio Cantilevered Circular Cylinder

  • Conference paper
  • First Online:
Instability and Control of Massively Separated Flows

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 107))

  • 2034 Accesses

Abstract

The stability of the near wake of a low aspect ratio cantilevered cylinder, with and without the influence of synthetic jet forcing, was estimated using piecewise two-dimensional inviscid stability analysis. Using a cusp method, the size of the 3-D vortex formation length was estimated. When the synthetic jet was activated it decreased the vortex formation length, altering the spectral content of the near wake, in agreement with experimental measurements. Furthermore, the turbulence intensity within the near wake could be estimated from the eigenfunctions corresponding to the most amplified spatial instability modes.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Williamson CHK (1996) Vortex dynamics in the cylinder wake. Annu Rev Fluid Mech 28:477–539

    Article  Google Scholar 

  2. Yang X, Zebib A (1989) Absolute and convective instability of a cylinder wake. Phys Fluids A 1(4):689–696

    Article  Google Scholar 

  3. Drazin PG (2002) Introduction to hydrodynamic stability. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  4. DeMauro EP, Leong CM, Amitay M (2012) Modification of the near wake behind a finite-span cylinder by a single synthetic jet. Exp Fluids 53:1963–1978

    Article  Google Scholar 

  5. DeMauro EP, Leong CM, Amitay M (2013) Interaction of a synthetic jet with the flow over a low aspect ratio cylinder. Phys Fluids 25:6

    Article  Google Scholar 

  6. Sumner D, Heseltine JL, Dansereau OJP (2004) Wake structure of a finite circular cylinder of small aspect ratio. Exp Fluids 37:720–730

    Article  Google Scholar 

  7. Hultgren LS, Aggarwal AK (1987) Absolute instability of the gaussian wake profile. Phys Fluids 30(11):3383–3387

    Article  Google Scholar 

  8. Thiria B, Wesfreid JE (2007) Stability properties of forced wakes. J Fluid Mech 57:137–161

    Article  Google Scholar 

  9. Triantafyllou GS, Triantafyllou MS, Chryssostomidis C (1986) On the formation of the vortex streets behind stationary cylinders. J Fluid Mech 170:461–477

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to acknowledge Dr. Isom Herron from Rensselaer Polytechnic Institute for his guidance in the theoretical portions of this work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michael Amitay .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

DeMauro, E.P., Leong, C.M., Amitay, M. (2015). Stability and Control on a Low Aspect Ratio Cantilevered Circular Cylinder. In: Theofilis, V., Soria, J. (eds) Instability and Control of Massively Separated Flows. Fluid Mechanics and Its Applications, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-319-06260-0_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-06260-0_22

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06259-4

  • Online ISBN: 978-3-319-06260-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics