Skip to main content

Boundary Layer Stability with Embedded Rotating Cylindrical Roughness Element

  • Conference paper
  • First Online:
New Results in Numerical and Experimental Fluid Mechanics XII (DGLR 2018)

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 142))

Included in the following conference series:

Abstract

Linear stability theory (LST) and direct numerical simulations (DNS) are used to investigate the instability of boundary layer flow with an embedded rotating cylindrical roughness element. The non-linear formulation of the perturbation evolution is implemented and solved with the second-order finite volume solver OpenFOAM, which is validated by comparison with LST prediction with respect to Tollmien-Schlichting waves. Dynamic mode decomposition (DMD) is then used to obtain the frequency separated disturbance modes. To obtain an insight into the instability mechanism, perturbation kinetic energy analysis is followed. Results reveal the possible stabilization effect of such a flow setup.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. Andersson, P., Brandt, L., Bottaro, A., et al.: On the breakdown of boundary layer streaks. J. Fluid Mech. 428, 29–60 (2001)

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  3. Siconolfi, L., Camarri, S., Fransson, J.H.: Stability analysis of boundary layers controlled by miniature vortex generators. J. Fluid Mech. 784, 596–618 (2015)

    Article  Google Scholar 

  4. Cossu, C., Brandt, L.: On Tollmien–Schlichting-like waves in streaky boundary layers. Eur. J. Mech.-B/Fluids 23(6), 815–833 (2004)

    Article  MathSciNet  Google Scholar 

  5. Shahinfar, S., Sattarzadeh, S.S., Fransson, J.H.M.: Passive boundary layer control of oblique disturbances by finite-amplitude streaks. J. Fluid Mech. 749, 1–36 (2014)

    Article  Google Scholar 

  6. Meyer, D.: Direkte numerische Simulation nichtlinearer Transitionsmechanismen in der Strömungsgrenzschicht einer ebenen Platte. Shaker (2003)

    Google Scholar 

  7. Loiseau, J.C., Robinet, J.C., Cherubini, S., Leriche, E.: Investigation of the roughness-induced transition: global stability analyses and direct numerical simulations. J. Fluid Mech. 760, 175–211 (2014)

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  9. Belson, B.A., Tu, J.H., Rowley, C.W.: Algorithm 945: modred—a parallelized model reduction library. ACM Trans. Math. Softw. (TOMS) 40(4), 30 (2014)

    Article  MathSciNet  Google Scholar 

  10. Kotsonis, M., Giepman, R., Hulshoff, S., Veldhuis, L.: Numerical study of the control of Tollmien–Schlichting waves using plasma actuators. AIAA J. 51(10), 2353–2364 (2013)

    Article  Google Scholar 

  11. Dörr, P.C., Kloker, M.J.: Transition control in a three-dimensional boundary layer by direct attenuation of nonlinear crossflow vortices using plasma actuators. Int. J. Heat Fluid Flow 61, 449–465 (2016)

    Article  Google Scholar 

  12. Schmid, P.J., Henningson, D.S.: Stability and Transition in Shear Flows, vol. 142. Springer, New York (2012)

    MATH  Google Scholar 

  13. Giannetti, F., Luchini, P.: Structural sensitivity of the first instability of the cylinder wake. J. Fluid Mech. 581, 167–197 (2007)

    Article  MathSciNet  Google Scholar 

  14. Jeong, J., Hussain, F.: On the identification of a vortex. J. Fluid Mech. 285, 69–94 (1995)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the financial support from the China Scholarship Council (No. 201406280033). Computational resources provided by the federal high-performance computing center Stuttgart (HLRS) is kindly acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yongxiang Wu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Wu, Y., Rist, U. (2020). Boundary Layer Stability with Embedded Rotating Cylindrical Roughness Element. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Tropea, C., Jakirlić, S. (eds) New Results in Numerical and Experimental Fluid Mechanics XII. DGLR 2018. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-030-25253-3_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-25253-3_27

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-25252-6

  • Online ISBN: 978-3-030-25253-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics