Skip to main content

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 35))

Abstract

We shall consider the thin layer which occurs between two fluids flowing parallel to each other. If the centreline of the mixing layer is curved it has been shown that the situation can support centrifugal instabilities in the form of longitudinal vortices. As these perturbations develop downstream they eventually conform to an asymptotic structure and it is within this régime that we shall discuss their nonlinear evolution. The indirect effect of the vortex structure on Kelvin-Helmholtz modes is also investigated.

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

  • Hall, P. 1982 On the non-linear evolution of Görtier vortices in non-parallel boundary layers. IMA J. Appl. Math. 29, 173–196.

    Article  ADS  MATH  Google Scholar 

  • Hall, P. 1983 The linear development of Görtier vortices in growing boundary layers. J. Fluid Mech. 130, 41–58.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Hall, P. & Lakin, W. D. 1988 The fully nonlinear development of Görtier vortices in growing boundary layers. Proc. R. Soc. Lond. A 415, 421–444 (herein referred to as HL).

    Google Scholar 

  • Hu, F. Q., Otto, S. R. & Jackson, T. L. 1994 On the stability of a curved mixing layer. Transition, Turbulence and Combustion (eds. M. Y. Hussaini, Thomas B. Gatski & T. L. Jackson, Kluwer), Vol. 1, 107–116.

    Chapter  Google Scholar 

  • Klemp, J. B. & Acrivos, A. 1972 A note on the laminar mixing of two uniform parallel semi-infinite streams. J. Fluid Mech. 55, 25–30.

    Article  ADS  MATH  Google Scholar 

  • Liou, W. W. 1994 Linear instability of curved free shear layers. Phys. Fluids 6, 541–549.

    Article  ADS  MATH  Google Scholar 

  • Lock, R. C. 1951 The velocity distribution in the laminar boundary layer between parallel streams. Quart. J. Mech. Appl. Math. 4, 42–57.

    Article  MathSciNet  MATH  Google Scholar 

  • MichaJke, A. 1964 On the inviscid instability of the hyperbolic-tangent velocity profile. J. Fluid Mech. 19, 543–556.

    Article  MathSciNet  ADS  Google Scholar 

  • Otto, S. R., Jackson T. L. & Hu, F. Q. 1995 On the evolution of centrifugal instabilities within curved mixing layers. Submitted to J. Fluid Mech.

    Google Scholar 

  • Plesniak, M. W., Mehta, R. D. & Johnston, J. P. 1994 Curved two-stream turbulent mixing layers: three-dimensional structure and streamwise evolution. J. Fluid Mech. 270, 1–50.

    Article  ADS  Google Scholar 

  • Ting, L. 1959 On the mixing of two parallel streams. J. Math. Phys. 28, 153–165.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Kluwer Academic Publishers

About this paper

Cite this paper

Seddougui, S.O., Otto, S.R. (1996). On The Nonlinear Evolution of Gortler Vortices in Curved Mixing Layers. In: Duck, P.W., Hall, P. (eds) IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers. Fluid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1700-2_10

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-1700-2_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7261-8

  • Online ISBN: 978-94-009-1700-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics