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A Study of Homogeneous Turbulence in Superfluid Helium

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High Reynolds Number Flows Using Liquid and Gaseous Helium

Abstract

We generate homogeneous turbulence by means of a moving grid within a stationary channel filled with superfluid helium. The decay in the root mean square vorticity is linked with the quantized line density, which in turn is measured via second sound attenuation. Preliminary results reveal how the time decay of turbulence depends on grid Reynolds number.

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References

  1. see for example Batchelor, G.K.,1953, The Theory of Homogeneous Turbulence. Cambridge University Press, or Proudman,I., and Reid,W.H.,1954, On the decay of a normally distributed and homogeneous turbulent velocity field. Philos. Trans. R. Soc. London Ser. A 247, 1643–89.

    Google Scholar 

  2. Gence,J.N.,1983, Homogeneous turbulence. Ann. Rev. Fluid Mech. 15, 201–22.

    Article  ADS  Google Scholar 

  3. Comte-Bellot,G., and Corrsin,S.,1966, The use of a contraction to improve the isotropy of grid generated turbulence. J. Fluid Mech. 25, 657–82.

    Article  ADS  Google Scholar 

  4. Bennet,J.C., and Corrsin,S.,1978, Small Reynolds number nearly isotropic turbulence in a straight duct and a contraction. Phys. Fluids 21, 2129–40.

    Article  ADS  Google Scholar 

  5. see for example sections 16 and 34 of Landau,L.D., and Lifshitz,E.M., 1987, Fluid Mechanics, second edition, Pergamon Press.

    Google Scholar 

  6. Proudman,L., and Reid,W.,1954, On the decay of a normally distributed and homogeneous turbulent velocity field. Philos. Trans. R. Soc. London Ser. A 247, 163–89.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. von Karman,T., and Howarth,L.,1938, On the Statistical Theory of Isotropic Turbulence. Proc. R. Soc. London, Ser. A 164, 192–215.

    Article  ADS  Google Scholar 

  8. Donnelly,Russell,Smith,Michael, and Swanson,Charles, 1990, Superfluid Wind Tunnels, Physics World 3, 39–41.

    Google Scholar 

  9. Swanson,Charles E., 1985, A study of vortex dynamics in counterflowing helium II Ph.D. Thesis,University of Oregon.

    Google Scholar 

  10. Vinen,W.F.,1957, Mutual friction in a heat current in liquid helium II. III. Theory of mutual friction. Proc. R. Soc. London, Ser. A 242, 493–515.

    Article  ADS  Google Scholar 

  11. Milliken,F.P., Schwarz,K.W., and Smith,C.W.,1982, Free decay of superfluid turbulence. Phys. Rev. Lett. 48, 1204–7.

    Article  ADS  Google Scholar 

  12. Donnelly,Russell J., and Swanson,Charles E.,1986, Quantum turbulence. J. Fluid Mech. 173, 387–429.

    Google Scholar 

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© 1991 Springer-Verlag New York, Inc.

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Smith, M.R., Donnelly, R.J. (1991). A Study of Homogeneous Turbulence in Superfluid Helium. In: Donnelly, R.J. (eds) High Reynolds Number Flows Using Liquid and Gaseous Helium. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3108-0_16

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  • DOI: https://doi.org/10.1007/978-1-4612-3108-0_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7799-6

  • Online ISBN: 978-1-4612-3108-0

  • eBook Packages: Springer Book Archive

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