Skip to main content

Vortex control in a spatially growing round jet

  • Conference paper
Fundamental Problematic Issues in Turbulence

Part of the book series: Trends in Mathematics ((TM))

  • 533 Accesses

Abstract

Due to the diversity of their coherent structures, axisymmetric jets constitute a prototype of free shear flows of vital importance from both a fundamental as well as a more applied point of view. Indeed, a better understanding of the jet vortex structures should make possible the active control of the jet (spreading rate, mixing enhancement, …) for engineering applications (see e.g. Zaman et al. [25]). In the last five years, the progress in the experimental methods for detection and identification has made possible a detailed investigation of the complex three-dimensional coherent vortices imbedded within this flow. For instance, the influence of the entrainment of the secondary streamwise vortices has been studied by Liepmann and Gharib [11]. On the numerical side, several simulations of two-dimensional or temporally evolving jets have been performed. Very few have however investigated the three-dimensional spatial development of the round jet. We here present a statistical and topological numerical study of the spatial growth of the round jet from the nozzle up to sixteen diameters downstream. The use of large-eddy simulations (LES) techniques allow us to reach high values of the Reynolds number: here, Re is 25000. The advantage of these techniques is that high Reynolds number flows can be simulated with a moderate number of resolution points and a reasonable computer cost. Our goal here is to demonstrate the ability of the LES to properly reproduce the coherent vortex dynamics in the transitional region of the jet. We also show the possibility of controlling the jet behaviour by manipulating the inflow conditions. The detailed results are presented in Urbin (1997) [21], Urbin and Métais [22] and Urbin et al. [23].

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. Abid, M. and Brachet, M.E. (1992) Mécanisme de génération des jets latéraux dans les jets axisymetriques forcés, C.R. Acad. Sci. Paris.

    Google Scholar 

  2. Broze, G. and Hussain, F. (1996) Transition to chaos in a forced jet: intermittency, tangent bifurcations and hysteresis. J. Fluid Mech., 311, pp. 37–71.

    Article  MathSciNet  Google Scholar 

  3. Comte, P., Fouillet, Y. and Lesieur, M., (1992) Simulation numérique des zones de mélange compressibles. Revue scientifique et technique de la defense, 3ème trimestre. Phys. Fluids, 6 (2), pp. 751–759.

    Google Scholar 

  4. Comte, P., Lesieur, M., and Lamballais, E. (1992) Large-and small-scale stirring of vorticity an a passive scalar in a 3-D temporal mixing layer, Phys Fluids A, 4, pp. 2761–2778.

    Article  Google Scholar 

  5. Crow, S.C. and Champagne, F.H. (1971) Orderly structure in jet turbulence. J.Fluid Mech., 48, pp. 547–591.

    Article  Google Scholar 

  6. Fouillet, Y. (1992) Contribution à l’étude par expérimentation numérique des écoulements cisaillés libres. Effets de compressibilité. PhD thesis. National Polytechnic Institute, Grenoble.

    Google Scholar 

  7. Kusek, Corke and Reisenthel, Seeding of helical modes in the initial region of an axisymmetric jet (1990), Experiments in Fluids, 10, pp. 116–124.

    Google Scholar 

  8. Lasheras, J.C., Lecuona A. and Rodriguez, P. (1991) Three dimensionnal structure of the vorticity field in the near region of laminar co-flowing forced jets. In The Global Geometry of Turbulence, edited by J. Jimenez (Plenum Press, New-York).

    Google Scholar 

  9. Lee, M., Reynolds, W.C. (1985) Bifurcating and blooming jets at high Reynolds number. Fifth Symp. on Turbulent Shear Flows, Ithaca, New York 1.7–1.12.

    Google Scholar 

  10. Lesieur, M. and Métais, O. (1996) New trends in large-eddy simulations of turbulence. Annu. Rev. Fluid. Mech., 28, pp. 45–82.

    Article  Google Scholar 

  11. Liepmann, D. and Gharib, M. (1992) The role of streamwise vorticity in the near-field entrainment of round jets. J. Fluid Mech., 245, pp. 643–668.

    Article  Google Scholar 

  12. Longmire, E.K. and Duong, L.H. (1996) Bifurcating jets generated with stepped and sawtooth nozzles. Phys. Fluids, 8(4), pp. 978–992.

    Article  Google Scholar 

  13. Martin, J.E. and Meiburg, E. (1991) Numerical investigation of three-dimensionally evolving jets subject to axisymmetric and azimuthal perturbations. J. Fluid Mech., 230, pp. 271–318.

    Article  MATH  Google Scholar 

  14. Métais, O. and Lesieur, M. (1992) Spectral large-eddy simulation of isotropic and stably stratified turbulence. J. Fluid Mech., 239, pp. 157–194.

    Article  MathSciNet  MATH  Google Scholar 

  15. Michalke, A. and Hermann, G. (1982) On the inviscid instability of a circular jet with external flow. J. Fluid Mech., 114, pp. 343–359.

    Article  MATH  Google Scholar 

  16. Monkewitz, P.A. and Pfizenmaier, E. (1991) Mixing by’ side jets’ in strongly forced and self-excited round jets. Phys. Fluids A, 3 (5), pp. 4356–1364.

    Article  Google Scholar 

  17. Petersen, R.A. (1978) Influence of wave dispersion on vortex pairing in a jet. J. Fluid Mech., 89, pp. 469–495.

    Article  Google Scholar 

  18. Parekh, D.E., Leonard, A. and Reynolds, W.C. (1988) Bifurcating jets at high Reynolds number. Air Force Office of Scientific Research contractor Rep n°AF-F49620-84-K-0005 and n°AF-F49620-86-K-0020.

    Google Scholar 

  19. Pierrehumbert, R.T., and Widnall, S. E. (1982) The two-and three-dimensional instabilities of a spatially periodic shear layer, J. Fluid Mech., 114, pp. 59–82.

    Article  MATH  Google Scholar 

  20. Silveira-Neto, A., Grand, D. Métais, O. Lesieur, M. (1993) A numerical investigation of the coherent structures of turbulence behind a backward-facing step. J. Fluid Mech., 256, pp. 1–55.

    Article  MATH  Google Scholar 

  21. Urbin, G., (1998) Etude numérique par simulation des grandes échelles de la transition à la turbulence dans les jets. PhD thesis. National Polytechnic Institute, Grenoble.

    Google Scholar 

  22. Urbin, G. and Métais, O. (1997) Large-eddy simulation of three-dimensional spatially-developing round jets, in Direct and Large-Eddy Simulation II, J.P. Chollet, L. Kleiser and P.R. Voke eds., Kluwer Academic Publishers, pp. 35–46.

    Google Scholar 

  23. Urbin, G., Brun, C. and Métais, O. (1997) Large-eddy simulations of three-dimensional spatially evolving roud jets, 11th symposium on Turbulent Shear Flows, Grenoble, September 8-11, pp. 25–23/25–28.

    Google Scholar 

  24. Widnall, S.E., Bliss, D.B. and Tsai, C. (1974) The instability of short waves on vortex ring. J. Fluid Mech., 66 (1), pp. 35–47.

    Article  MathSciNet  MATH  Google Scholar 

  25. Zaman, K.B.M.Q., Reeder, M.F. and Samimy, M. (1994) Control of an axi-symmetric jet using vortex generators. Phys. Fluids, 6 (2), pp. 778–794.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Basel AG

About this paper

Cite this paper

Métais, O., Urbin, G. (1999). Vortex control in a spatially growing round jet. In: Gyr, A., Kinzelbach, W., Tsinober, A. (eds) Fundamental Problematic Issues in Turbulence. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8689-5_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8689-5_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9730-3

  • Online ISBN: 978-3-0348-8689-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics