Skip to main content

Vortex Persistence

A New Parameter for Vortices near Interfaces

  • Conference paper
Advances in Turbulence VI

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 36))

  • 509 Accesses

Abstract

When a turbulent vortex is near a thin, stratified interface, the entrainment rate across the interface depends on three conventional parameters: the Richardson, Reynolds, and Schmidt numbers (Turner 1973). However, recent experiments have revealed that these parameters by themselves are not sufficient to determine the entrainment rate. For example, a horizontal jet parallel to and below the interface entrains at a rate proportional to Ri −3/2 (Schneider 1980), while the same jet, operating at identical values of these parameters but oriented to impinge vertically on the interface, entrains at a rate proportional to Ri −1/2 (Cotel 1995). Therefore, an additional parameter must be necessary to determine the entrainment rate. This paper presents the arguments for one particular candidate.

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

  • Breidenthal, R.E. (1993) Simple models of stratified and compressible entrainment, Workshop on Compressible Turbulent Mixing, Cambridge University

    Google Scholar 

  • Breidenthal, R.E (1994) Entrainment and mixing in stratified flows, Appl. Meek Rev. 47(6), part 2, S108-S112

    Google Scholar 

  • Cotel, A.J (1995) Entrainment and detrainment of a jet impinging on a stratified interface, Ph.D. thesis, University of Washington

    Google Scholar 

  • Cotel, A.J. and Breidenthal, R.E. (1994) Persistence theory of stratified entrainment, Preprints of the Fourth International Symposium on Stratified Flows, 4, Grenoble and submitted to Journal of Fluids Engineering

    Google Scholar 

  • Edwards, A. and Furber, B.N. (1956) The influence of free stream turbulence on heat transfer by convection from an isolated region of a plane surface in parallel air flow, Proc. Inst. Meek Eng. 170, 941

    Article  Google Scholar 

  • Gharib, M., Rambod, E., Dabiri, D., Shiota, T., and Sahn, D P(1994) ulsatile heart flow: A universal time scale, International Conference for Experimental Fluid Mechanics, Torino

    Google Scholar 

  • Linden, P.F.(1973) The interaction of a vortex ring with a sharp density interface: A model for turbulent entrainment, Fluid Mech 60,467- 480

    Article  ADS  Google Scholar 

  • Schneider, H-H.(1980) Laboratory experiments to simulate the jet- induced erosion of pycnoclines in lakes, Proc. Int. Sympos.Stratif. Flows, Nor Inst. TechnoL, Trondheim

    Google Scholar 

  • Turner, J.S. (1968) The influence of molecular diffusivity on turbulent entrainment across a density interface, J. Fluid Meek 33, 639–656

    Article  ADS  Google Scholar 

  • Turner, J.S. (1973) Buoyancy Effects in Fluids, Cambridge University Press

    MATH  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

Cotel, A.J., Breidenthal, R.E. (1996). Vortex Persistence. In: Gavrilakis, S., Machiels, L., Monkewitz, P.A. (eds) Advances in Turbulence VI. Fluid Mechanics and its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0297-8_28

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-0297-8_28

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6618-1

  • Online ISBN: 978-94-009-0297-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics