Skip to main content

Secondary Instability of Steady and Unsteady Crossflow Waves

  • Conference paper
New Results in Numerical and Experimental Fluid Mechanics III

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 77))

Summary

The crossflow induced laminar-turbulent transition of a 3-D flat-plate boundary-layer flow is investigated by means of spatial direct numerical simulations based on the complete incompressible 3-D Navier-Stokes equations and a combined 6th-order compact Finite-Difference / spanwise Fourier-spectral scheme. The considered spanwise-invariant laminar base flow is a model of the boundary-layer flow in the front region of an infinite swept wing, with favorable and ensuing adverse chordwise pressure gradient. The secondary instability of (i) a saturated steady crossflow-vortex packet and (ii) a saturated unsteady crossflow-wave packet is investigated in detail. For (i), transition delay by means of a 3-D upstream flow deformation is presented.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bippes, H.: Environmental Conditions and Transition Prediction in 3-D Boundary Layers. AIAA-97-1906.

    Google Scholar 

  2. Bonfigli, G.; Kloker, M.: Spatial Navier-Stokes simulation of crossflow-induced transition in a 3-d boundary layer. In Nitsche, W.G.; Heinemann, H.-J.; Hilbig, R., (eds.): New Results in Numerical and Experimental Fluid Dynamics II. Proc. 11. AG STAB/DGLR Symposium (1998), NNFM 72, Vieweg Verlag, Braunschweig, 1999.

    Google Scholar 

  3. Jeong, J.; Hussain, F.: On the Identification of a Vortex. J. Fluid Mech., Vol. 285, pp. 69-94, Cambridge University Press (UK), 1995.

    Google Scholar 

  4. Kloker, M.: A robust high-resolution split-type compact FD scheme for spatial direct numerical simulation of boundary-layer transition. Applied Scientific Research, 59 (4), pp. 353 - 377. Kluwer Acad. Publishers, NL, 1998.

    MathSciNet  MATH  Google Scholar 

  5. Koch, W.; Bertolotti, F.P.; Stolte, A.; Hein, S.: Nonlinear equilibrium solutions in a three-dimensional boundary layer and their secondary instability. J. Fluid Mech., Vol. 406, pp. 131-174, Cambridge University Press (UK), 2000.

    Google Scholar 

  6. Saric, W.S.; Carrillo, Jr.; Reibert, M.S.: Leading-Edge Roughness as a Transition Control Mechanism. AIAA-98-0781.

    Google Scholar 

  7. Spalart, P.R.; Crouch, J.D.; Ng, L.L.: Numerical study of realistic perturbations in 3-d boundary layers. In Proc. AGARD Conf.: Application of Direct and Large Eddy Simulation to Transition and Turbulence, AGARD-CP-551, pp. 30.1 — 30.10., Chania, Crete, Greece, 1994.

    Google Scholar 

  8. Wassermann, P.; Kloker, M.: Direct Numerical Simulation of the Development and Control of Boundary-Layer Crossflow Vorticies. In Nitsche, W.G.; Heinemann, H.-J.; Hilbig, R., (eds.): New Results in Numerical and Experimental Fluid Dynamics H. Proc. 11. AG STAB/DGLR Symposium (1998), NNFM 72, Vieweg Verlag, Braunschweig, 1999.

    Google Scholar 

  9. Wassermann, P.; Kloker, M.: DNS of Laminar-Turbulent Transition in a 3-D aerodynamic Boundary-Layer Flow. In Krause, E.; Jäger, W., (eds.): High Performance Computing in Science and Engineering ‘00. Springer-Verlag, Berlin, 2000.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wassermann, P., Kloker, M., Wagner, S. (2002). Secondary Instability of Steady and Unsteady Crossflow Waves. In: Wagner, S., Rist, U., Heinemann, HJ., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics III. Notes on Numerical Fluid Mechanics (NNFM), vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45466-3_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-45466-3_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53642-7

  • Online ISBN: 978-3-540-45466-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics