Skip to main content

Influence of the Shape on the Roughness-Induced Transition

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

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

Abstract

Global instability analysis of the three-dimensional flow past two roughness elements of different shape, namely a cylinder and a bump, is presented. In both cases, the eigenspectrum is made of modes characterised by a varicose symmetry and localised mostly in the zones of large base flow shear. The primary instability exhibited is the same in both cases and consists in an isolated unstable mode probably related to streaks instability. For the cylinder however, a whole branch of modes is in addition destabilised as the Reynolds number is further increased.

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. Fransson JHM, Talamelli A, Brandt L, Cossu C (2006) Delaying transition to turbulence by a passive mechanism. Phys Rev Lett 96(6):064501

    Article  Google Scholar 

  2. Tani I, Komoda H, Komatsu Y, Iuchi M (1962) Boundary-layer transition by isolated roughness. Technical report, p 375.

    Google Scholar 

  3. White EB (2002) Transient growth of stationary disturbances in a flat plate boundary layer. Phys Fluids 14(12):4429

    Article  MathSciNet  Google Scholar 

  4. Choudhari M, Fischer P (2005) Roughness-induced transient growth. In: 35th AIAA fluid dynamics conference and exhibit, Toronto, Ontario Canada, AIAA-2005-4765.

    Google Scholar 

  5. von Doenhoff AE (1961) The effect of distributed surface roughness on laminar flow and flow control. Pergamon Press, NY Lachmann edition

    Google Scholar 

  6. Akervik E, Brandt L, Henningson DS, Hoepffner J, Marxen O, Schlatter P (2006) Steady solutions of the Navier-Stokes equations by selective frequency damping. Phys Fluids 18:068102

    Article  Google Scholar 

  7. Edwards W, Tuckerman L, Friesner R, Sorensen D (1994) Krylov methods for the incompressible Navier-Stokes equations. J Comput Phys 110(1):82–102

    Article  MathSciNet  MATH  Google Scholar 

  8. Bagheri S, Akervik E, Brandt L, Henningson DS (2009) Matrix-Free methods for the stability and control of boundary layer. AIAA J 47(5):1057–1068

    Article  Google Scholar 

  9. Fischer PF, Lottes JW, Kerkemeier SG (2008) Nek5000 Web page. http://nek5000.mcs.anl.gov

  10. Andersson P, Brandt L, Bottaro A, Henningson DS (2001) On the breakdown of boundary layer streaks. J Fluid Mech 428:29–60

    Article  MathSciNet  MATH  Google Scholar 

  11. Cherubini S, De Tullio M, De Palma P, Pascazio G (2013) Transient growth in the flow past a three-dimensional smooth roughness element. J Fluid Mech 724:642–670

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J.-Ch. Loiseau .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Loiseau, JC., Cherubini, S., Robinet, JC., Leriche, E. (2015). Influence of the Shape on the Roughness-Induced Transition. 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_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-06260-0_18

  • 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