Skip to main content
SpringerLink
Log in

Measurements of Turbulence Onset and Dissipation in Superfluid Helium with a Silicon Double Paddle Oscillator

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We have studied experimentally the response of a silicon single crystal double paddle oscillator submerged in superfluid helium from the lambda point to 1.55 K. Measuring the resonance frequency and dissipation on three modes of this high Q system allows us to study the dissipation at the onset of turbulence in the flow around the paddle. The critical velocity V c for turbulence onset decreases with temperature. If we use the density of the normal component of the superfluid to obtain a Reynolds number Re associated with V c we find a value which is largely temperature independent. This result is different from the behavior previously found by other authors below 1 K, where the quantized vorticity (extrinsic nucleation) is observed at velocities more than an order of magnitude greater. In our temperature range, we conclude that the transition is governed by the normal fraction acting as a classical fluid. The laminar regime shows a dissipation that is proportional to the viscous drag calculated by well known formulas for an object oscillating in a liquid. We also find a decrease in resonance frequency in the turbulent regime which is clearly observed but hard to reproduce from run to run.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. J. Tough, Superfluid turbulence, in Progress in Low Temperature Physics, vol. 8, ed. by D. Brewer (Amsterdam, Elsevier, 1982), p. 133

    Google Scholar 

  2. R.J. Donnelly, C.E. Swanson, J. Fluid Mech. 173, 387 (1986)

    Article  ADS  Google Scholar 

  3. R.J. Donnelly, Physica B 329, 1 (2003). Proceedings of the 23rd International Conference on Low Temperature Physics

    Article  ADS  Google Scholar 

  4. W.F. Vinen, J. Low Temp. Phys. 145, 7 (2006)

    Article  ADS  Google Scholar 

  5. W.F. Vinen, Philos. Trans. R. Soc. 366, 2925 (2008)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. J. Jäger, B. Schuderer, W. Schoepe, Phys. Rev. Lett. 74, 566 (1995)

    Article  ADS  Google Scholar 

  7. J. Luzuriaga, J. Low Temp. Phys. 108, 267 (1997)

    Article  ADS  Google Scholar 

  8. W. Schoepe, J. Low Temp. Phys. 150, 724 (2008)

    Article  ADS  Google Scholar 

  9. M. Blažková, D. Schmoranzer, L. Skrbek, W.F. Vinen, Phys. Rev. B 79, 054522 (2009)

    Article  ADS  Google Scholar 

  10. M. Blažková, M. Clovecko, E. Gažo, L. Skrbek, P. Skyba, J. Low Temp. Phys. 148, 305 (2007)

    Article  ADS  Google Scholar 

  11. M. Blažková, T. Chagovets, M. Rotter, D. Schmoranzer, L. Skrbek, J. Low Temp. Phys. 150, 194 (2008)

    Article  ADS  Google Scholar 

  12. W.F. Vinen, L. Skrbek, H.A. Nichol, J. Low Temp. Phys. 135(5–6), 423 (2004)

    Article  ADS  Google Scholar 

  13. H.A. Nichol, L. Skrbek, P.C. Hendry, P.V.E. McClintock, Phys. Rev. Lett. 92, 244501 (2004)

    Article  ADS  Google Scholar 

  14. H.A. Nichol, L. Skrbek, P.C. Hendry, P.V.E. McClintock, Phys. Rev. E 70, 056307 (2004)

    Article  ADS  Google Scholar 

  15. D. Charalambous, L. Skrbek, P.C. Hendry, P.V.E. McClintock, W.F. Vinen, Phys. Rev. E 74, 036307 (2006)

    Article  ADS  Google Scholar 

  16. V. Efimov, D. Garg, M. Giltrow, P. McClintock, L. Skrbek, W. Vinen, J. Low Temp. Phys. 158, 462 (2010)

    Article  ADS  Google Scholar 

  17. H. Yano, A. Handa, H. Nakagawa, M. Nakagawa, K. Obara, O. Ishikawa, T. Hata, J. Phys. Chem. Solids 66(8–9), 1501 (2005)

    Article  ADS  Google Scholar 

  18. H. Yano, N. Hashimoto, A. Handa, M. Nakagawa, K. Obara, O. Ishikawa, T. Hata, Phys. Rev. B 75, 012502 (2007)

    Article  ADS  Google Scholar 

  19. H. Yano, Y. Nago, R. Goto, K. Obara, O. Ishikawa, T. Hata, Phys. Rev. B 81, 220507 (2010)

    Article  ADS  Google Scholar 

  20. M.S. Paoletti, M.E. Fisher, K.R. Sreenivasan, D.P. Lathrop, Phys. Rev. Lett. 101, 154501 (2008)

    Article  ADS  Google Scholar 

  21. R.N. Kleiman, G.K. Kaminsky, J.D. Reppy, R. Pindak, D.J. Bishop, Rev. Sci. Instrum. 56, 2088 (1985)

    Article  ADS  Google Scholar 

  22. C.L. Spiel, R.O. Pohl, A.T. Zehnder, Rev. Sci. Instrum. 72, 1482 (2001)

    Article  ADS  Google Scholar 

  23. X. Liu, S.F. Morse, J.F. Vignola, D.M. Photiadis, A. Sarkissian, M.H. Marcus, B.H. Houston, Appl. Phys. Lett. 78, 1346 (2001)

    Article  ADS  Google Scholar 

  24. V. Efimov, D. Garg, O. Kolosov, P. McClintock, J. Low Temp. Phys. 158, 456 (2010)

    Article  ADS  Google Scholar 

  25. R.J. Donnelly, C.F. Barenghi, J. Phys. Chem. Ref. Data 27, 1217 (1998)

    Article  ADS  Google Scholar 

  26. J. Wilks, The Properties of Liquid and Solid Helium (Clarendon, Oxford, 1967)

    Google Scholar 

  27. H. Yano, Y. Nago, R. Goto, K. Obara, O. Ishikawa, T. Hata, J. Phys. Conf. Ser. 150, 032125 (2009)

    Article  ADS  Google Scholar 

  28. L.D. Landau, E.M. Lifshitz, A Course in Theoretical Physics - Fluid Mechanics, vol. 6 (Pergamon, Elmsford, 1987)

    Google Scholar 

  29. J.D. Hudson, S.C.R. Dennis, J. Fluid Mech. 160, 369 (1985)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  30. S.C.R. Dennis, W. Qiang, M. Coutanceau, J.-L. Launay, J. Fluid Mech. 248, 605 (1993)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work was partially supported by grant PICT00-03-08937 from ANPCyT, Argentina and 06/C252 grant from U.N. Cuyo.

Author information

Authors and Affiliations

  1. Centro Atómico Bariloche, CNEA, Inst. Balseiro, UNC, CONICET, Bariloche, Argentina

    E. Zemma

  2. Centro Atómico Bariloche, CNEA, Inst. Balseiro, UNC, Bariloche, Argentina

    J. Luzuriaga

Authors
  1. E. Zemma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Luzuriaga
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. Zemma.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zemma, E., Luzuriaga, J. Measurements of Turbulence Onset and Dissipation in Superfluid Helium with a Silicon Double Paddle Oscillator. J Low Temp Phys 166, 171–181 (2012). https://doi.org/10.1007/s10909-011-0443-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-011-0443-0

Keywords

Search

Navigation