Skip to main content

Amplified Frequencies in the Proximal Region of a Circular Jet

  • Conference paper
Direct and Large-Eddy Simulation II

Part of the book series: ERCOFTAC Series ((ERCO,volume 5))

  • 490 Accesses

Abstract

Earlier Large Eddy Simulations (LES) of the proximal region of the spatially developing jet, using a dynamic subgrid scale (SGS) model, showed that it was possible to capture the transition from laminar to turbulent flow, Olsson and Fuchs (1996). This work is focused on the amplification of certain frequencies in the proximal region of the jet. Frequency amplification is studied for different inlet disturbances and Reynolds numbers using a dynamic SGS-model. The disturbances correspond to perturbations used in experimental studies by Crow and Champagne (1971) and Longmire and Eaton (1992). The results of the dynamic models are compared with the results of a simulation without any explicit SGS-model. The numerical accuracy is studied using LES with different spatial resolutions. The validity of the LES assumption is assured by resolving the Taylor micro-length scales which implies spatial resolution within the inertial sub-range. The dynamic SGS-model employs artificial bounds of the SGS-model parameter instead of the commonly used spatial averaging. This is done to exclude unphysical values of the model parameter and to enhance numerical stability.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

  • Batchelor, G. K. & Gill, A. E. 1962. Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  • Bradshaw, P., Ferriss, D. H. & Johnson, R. F. 1964. Turbulence in the noise-producing region of a circular jet. J. Fluid Mech. 19, 591.

    Article  ADS  MATH  Google Scholar 

  • Brandt, A. 1977. Multi-level adaptive solutions to boundary-value problems. Math. Comput. 31, 333.

    Article  MATH  Google Scholar 

  • Corrsin, S. & Uberoi, M. S. 1950. Further experiments on the flow and heat transfer in a heated turbulent air jet. Technical Report Report 998, NACA.

    Google Scholar 

  • Crow, S. C. & Champagne, F. H. 1971. Orderly structure in jet turbulence. J. Fluid Mech. 48, 547.

    Article  ADS  Google Scholar 

  • Fuchs, L. 1986. A local mesh-refinement technique for incompressible flows. Comput. Fluids. 14, 69.

    Article  ADS  MATH  Google Scholar 

  • Germano, M., Piomelli, U., Moin, P. & Cabot, W. 1991. A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A. 3, 1790.

    Google Scholar 

  • Lilly, D. K. 1992. A proposed modification of the germano subgrid-scale closure method. Phys. Fluids A. 4, 633.

    Article  ADS  Google Scholar 

  • Longmire, E. K. & Eaton, J. K. 1992. Structure of a particle-laden round jet. J. Fluid Mech. 236, 217.

    Article  ADS  Google Scholar 

  • Michalke, A. 1971. Instabilität eines kompressiblen runden freistrahls unter berücksichtigung des einflusses der strahlgrenzschichtdicke. Z. Flugwiss. 19, 319.

    MATH  Google Scholar 

  • Olsson, M. & Fuchs, L. 1996. Large eddy simulation of the proximal region of a spatially developing circular jet. Phys. Fluids. 8, 2125.

    Article  ADS  Google Scholar 

  • Rai, M. M. & Moin, P. 1991. Direct simulations of turbulent flow using finite-difference schemes. J. Comput. Phys. 96, 15.

    Article  ADS  MATH  Google Scholar 

  • Smagorinsky, J. 1963. General circulation experiments with the primitive equations. Mon. Weather Rev. 91, 99.

    Article  ADS  Google Scholar 

  • Wygnanski, I. & Fiedler, H. 1969. Some measurements in the self-preserving jet. J. Fluid Mech. 38, 577.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Olsson, M., Fuchs, L. (1997). Amplified Frequencies in the Proximal Region of a Circular Jet. In: Chollet, JP., Voke, P.R., Kleiser, L. (eds) Direct and Large-Eddy Simulation II. ERCOFTAC Series, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5624-0_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5624-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6370-8

  • Online ISBN: 978-94-011-5624-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics