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The Mixing Transition in Free Shear Flows

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The Global Geometry of Turbulence

Part of the book series: NATO ASI Series ((NSSB,volume 268))

Abstract

The term “mixing transition” denotes an increase in molecular mixedness observed in a shear flow which has earlier experienced the conventional (momentum) transition from laminar flow. First defined by Konrad (1976), from measurements of concentration in a free shear layer, the transition has been described and measured by a number of other methods, in particular by flow visualiztion, by measurement of chemical reaction product and by hot-wire anemometry, in aqueous as well as gaseous flows. In this presentation we review some of the measurements and try to assess what insight they may give on several questions that occur. 1. What is the relation of the mixing transition to Reynolds number and to other events: the momentum transition; vortex pairing; development of streamwise vortex structure? 2. How much does interfacial area increase during the transition? 3. How fast does this occur? 4. Does chaotic advection play a role? The answers are tentative and incomplete.

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References

  • Aref, H. and Jones, S. W., 1989, Enhanced separation of diffusing particles by chaotic advection. Phys. Fluid A 1: 470.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Bernal, L. P., 1981, Streamwise vortex structure in plane mixing layers, Ph. D. thesis, Calif. Inst. of Technology; also with A. Roshko, J. Fluid Mech. 1986, 170: 499.

    Google Scholar 

  • Bradshaw, P., 1966, The effect of initial conditions in the development of a free shear layer, J. Fluid Mech. 26: 225.

    Article  ADS  Google Scholar 

  • Breidenthal, R. E., 1978, A chemically reacting, turbulent shear layer, Ph. D. thesis, Calif. Inst. of Technology; also J. Fluid Mech. 1981, 109: 1.

    Google Scholar 

  • Brown, G. and Roshko, A., 1974, On density effects and large structure in turbulent mixing layers, J. Fluid Mech. 64: 775.

    Article  ADS  Google Scholar 

  • Corcos, G. M., 1979, The mixing layer: deterministic models of a turbulent flow, Univ. California Berkeley Rept. No. FM-79–2; also Corcos, G. M. and Sherman, F. S., 1984, J. Fluid Mcch: 29.

    Google Scholar 

  • Freymuth, P., 1966, On transition in a separated laminar boundary layer, J. Fluid Mech. 25: 683.

    Article  ADS  Google Scholar 

  • Ho, C-M. and Huerre, P., 1984, Perturbed free shear layers, Ann. Rev. Fluid Mech. 16: 365.

    Article  ADS  Google Scholar 

  • Huang, L.-S. and Ho, C.-M., 1990, Small-scale transition in a plane mixing layer, J. Fluid Mech. 210: 475.

    Article  ADS  Google Scholar 

  • Hussain, A. K. M. Fazle, 1986, Coherent structures and turbulence, J. Fluid Mech. 173: 303.

    Article  ADS  Google Scholar 

  • Jimenez, J., 1983, A spanwise structure in the plane shear layer, J. Fluid Mech. 132: 319.

    Article  ADS  Google Scholar 

  • Jimenez, J., Martinez–Val, R. and Rebollo, M., 1979, On the origin and evolution of three dimensional effects in the mixing layer, USA–ERO Rep. 79–6–079, London.

    Google Scholar 

  • Konrad, J. H., 1977, An experimental investigation of mixing in two dimensional turbulent shear flows with application to diffusion-limited chemical reactions, Ph. D. thesis, California Institute of Technology.

    Google Scholar 

  • Koochesfahani, M. M., 1984, Experiments on turbulent mixing and chemical reaction in a liquid mixing layer, Ph. D. thesis, Calif. Inst. of Technology; also, with P. E. Dimotakis, J. Fluid Mech. 1986, 170: 83.

    Google Scholar 

  • Lin, S. J. and Corcos, G. M., 1984, The mixing layer: deterministic models of a turbulent flow. Part 3. The effect of plane strain on the dynamics of streamwise vortices, J. Fluid Mech. 141: 139.

    Article  ADS  MATH  Google Scholar 

  • Lundgren, T. S., 1982, Strained spiral vortex model for turbulent fine structure, Phys. Fluids, 25: 2193.

    Article  ADS  MATH  Google Scholar 

  • Michalke, A., 1965, Spatially growing disturbances in an inviscid shear layer, J. Fluid Mech. 23: 521.

    Article  MathSciNet  ADS  Google Scholar 

  • Rom-Kedar, A., Leonard, A. and Wiggins, S., 1990, An analytical study of transport, mixing and chaos in an unsteady vortical flow, J. Fluid Mech. 214: 347.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Roshko, A., 1981, The plane mixing layer: flow visualization results and three dimensional effects, in Lecture Notes in Physics No. 136 ( The Role of Coherent Structures in Modelling Turbulence and Mixing, J. Jimenez, ed. ), Springer.

    Google Scholar 

  • Sato, H., 1956, Experimental investigation on the transition of laminar separated layer, J. Phys. Soc. Japan 11: 702.

    Article  ADS  Google Scholar 

  • Zohar, Y., 1990, Fine-scale mixing in a free shear layer. Ph. D. dissertation, Univ. Southern California.

    Google Scholar 

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© 1991 Springer Science+Business Media New York

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Roshko, A. (1991). The Mixing Transition in Free Shear Flows. In: Jiménez, J. (eds) The Global Geometry of Turbulence. NATO ASI Series, vol 268. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3750-2_1

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  • DOI: https://doi.org/10.1007/978-1-4615-3750-2_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6670-6

  • Online ISBN: 978-1-4615-3750-2

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