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Secondary instability in variable-density round jets

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Advances in Turbulence XI

Part of the book series: Springer Proceedings Physics ((SPPHY,volume 117))

Abstract

Side jet formation in variable-density round jets is investigated by means of direct numerical simulation (DNS) and linear stability analysis. From DNS, it is observed that a light jet with density ratio S =ρ0/ρj = 4 supports sustainedside jets which eject fluid from the center of the jet in a star-shaped pattern. These side jets persist over an axial distance of approximately 5 jet diameters before the jet transitions to turbulence, and do not precess around the jet. It is conjectured that this behavior can be explained by a change in the local properties of the secondary instability from convective to absolute in nature. This hypothesis is tested by examining the spatio-temporal development of the wavepacket resulting from a small impulse, taken about a non-diffusing periodic base state corresponding to the saturated primary instability.

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References

  1. F. Gallaire and J.-M. Chomaz. Mode selection in swirling jet experiments: a linear stability analysis. Journal of Fluid Mechanics, 494:223-253, 2003.

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  2. P.A. Monkewitz and K.D. Sohn. Absolute instability in hot jets. AIAA Journal, 26:911-916, 1988.

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  3. J.W. Nichols, P.J. Schmid, and J.J. Riley. Self-sustained oscillations in variable-density round jets. Journal of Fluid Mechanics, 2007 (in press).

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Authors and Affiliations

  1. Laboratoire d’Hydrodynamique (LadHyX), CNRS-École Polytechnique, 91128 Palaiseau cedex, France

    Joseph W. Nichols, Jean-Marc Chomaz & Peter J. Schmid

Authors
  1. Joseph W. Nichols
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  2. Jean-Marc Chomaz
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  3. Peter J. Schmid
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Corresponding author

Correspondence to Joseph W. Nichols .

Editor information

Editors and Affiliations

  1. Faculdade de Engenharia da Universidade do Porto Rua Dr. Roberto Frias, 4200-465 Porto, Portugal

    J.M.L.M. Palma  & A. Silva Lopes  & 

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© 2007 Springer-Verlag Berlin Heidelberg

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Nichols, J.W., Chomaz, JM., Schmid, P.J. (2007). Secondary instability in variable-density round jets. In: Palma, J., Lopes, A.S. (eds) Advances in Turbulence XI. Springer Proceedings Physics, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72604-3_9

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  • DOI: https://doi.org/10.1007/978-3-540-72604-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72603-6

  • Online ISBN: 978-3-540-72604-3

  • eBook Packages: EngineeringEngineering (R0)

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