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Imploding cylindrical temperature pulses in superfluid helium

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Fluid- and Gasdynamics

Part of the book series: Acta Mechanica ((ACTA MECH.SUPP.,volume 4))

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Summary

Unlike in normal fluids the flow and heat transfer of cylindrical imploding temperature pulses in superfluid helium can be fairly easily investigated. This possibility was taken advantage of to study the influence of quantized vorticity on the flow process with strong geometric constraints and to check the validity of the simplified theoretical model and the numerical simulation procedure used. At weak heat pulses, when the linear approximation can be used, the analytical solution and the numerical procedure compare very well with the experimental results. For medium heat pulses, when quantum turbulence and non linearity become important, the qualitative agreement of the numerical simulations with experimental data is also very satisfactory, reproducing all the flow features and showing the strong interaction between the geometric and vorticity effects. However the quantitative differences are of the order of 20%.

Partially presented at the 1st ECFM, Cambridge, 1991 and ad the 18th ICTAM, Haifa, 1992.

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References

  1. Fiszdon, W, Schwerdtner, M. v., Stamm, G., Poppe, W: Temperature overshoot due to quantum turbulence during the evolution of moderate heat pulses in He II. J. Fluid Mech. 212, 663–684 (1990).

    Article  ADS  Google Scholar 

  2. Gorter, C. J., Mellink, J. H.: On the irreversible processes in liquid helium II. Physica XV, 285–304 (1949).

    Google Scholar 

  3. Khalatnikov, I. M.: Introduction to the theory of superfluidity. New York: Benjamin 1965.

    Google Scholar 

  4. Möhring, W, Fiszdon, W.: Converging axi-and spherically-symmetric top-hat pulses (in He II), accepted for publication in J. Sound Vibr.

    Google Scholar 

  5. Nemirovskii, S. K., Lebedev, V. V.: The hydrodynamics of superfluid turbulence. Soy. Phys. JETP 57 (1983), 1009–1016.

    Google Scholar 

  6. Noack, B. R., Fiszdon, W.: A numerical method of solution of the one-dimensional equations of turbulent second sound He II flows. MPI für Strömungsforsch., Göttingen, Bericht 102 /1990 (1990).

    Google Scholar 

  7. Olszok, T.: Experimente zur konvergenten zylindersymmetrischen Second-Sound-Ausbreitung in He II. MPI für Strömungsforsch., Göttingen, Bericht 9 /1992 (1992).

    Google Scholar 

  8. Putterman, S. J.: Superfluid hydrodynamics. Amsterdam: Elsevier 1974.

    Google Scholar 

  9. Schwerdtner, M. v.: Experimentelle Untersuchung zum transkritischen Wärmetransport in He II. Mitt. MPI für Strömungsforsch., Göttingen, Nr. 90 (1988).

    Google Scholar 

  10. Schwerdtner, M. v., Poppe, W, Schmidt, D. W: Distortion of temperature signals in He II due to probe geometry, and a new improved probe. Cryogenics 29, 132–134 (1989).

    Article  Google Scholar 

  11. Stamm, G.: Experimentelle Untersuchungen an konvergierenden Second-Sound-Stoßwellen in He II. Mitt. MPI für Strömungsforsch., Göttingen, Nr. 103 (1991).

    Google Scholar 

  12. Stamm, G., Olszok, T, Schwerdtner, M. v., Schmidt, D. W: Producing and recording converging second-sound shock waves, Cryogenics 32, 598–600 (1992).

    Article  ADS  Google Scholar 

  13. Swanson, C. E., Wagner, W. T, Donnelly, R. J., Barenghi, C. F.: Calculation of frequency-and velocity-dependent mutual friction parameters in helium II, J. Low Temp. Phys. 66, 263–276 (1987).

    Article  ADS  Google Scholar 

  14. Tough, J. T.: Superfluid Turbulence. In: Progress in Low Temperature Physics, vd 8. Amsterdam: North-Holland 1982.

    Google Scholar 

  15. Vinen, W. E: Mutual friction in a heat current helium II. III. Theory of mutual friction. Proc. Roy. Soc. London Ser. A 242, 493–515 (1957).

    Article  ADS  Google Scholar 

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© 1994 Springer-Verlag

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Fiszdon, W., Olszok, T., Stamm, G., Noack, B., Piechna, J. (1994). Imploding cylindrical temperature pulses in superfluid helium. In: Schnerr, G.H., Bohning, R., Frank, W., Bühler, K. (eds) Fluid- and Gasdynamics. Acta Mechanica, vol 4. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9310-5_35

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  • DOI: https://doi.org/10.1007/978-3-7091-9310-5_35

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82495-5

  • Online ISBN: 978-3-7091-9310-5

  • eBook Packages: Springer Book Archive

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