Skip to main content

Vibrational Behavior of Amphora Liquid Columns in Microgravity Fields

  • Conference paper
  • 345 Accesses

Summary

A circular cylindrical liquid column changes under the influence of a steady axial micro-gravity field its static geometry into an amphora-type geometry. Under this influence the natural frequencies as well as the damped frequencies change with the magnitude of the axial Bondnumber. They are determined for such an amphora-type geometry for frictionless and viscous liquids. In addition the response of such systems to axial excitation is determined for various axial Bondnumbers. It was noticed that the natural frequencies decrease with increasing axial Bondnumber and that all vibration modes in the response show up for non-vanishing Bondnumber, whereas under pure xero-gravity only odd mode responses appear.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Rayleigh, Lord: On the Capillary Phenomena of Jets. Proc. Roy. Soc. 89 (1879) 71–97.

    Google Scholar 

  2. Rayleigh, Lord: On the Instability of Cylindrical Fluid Surfaces. Phil. Mag. 34 (1892) 177–18+.

    MATH  Google Scholar 

  3. Lamb, H.: Hydrodynamics. Dover Publ. New Vork 1945, 471–473.

    Google Scholar 

  4. Bauer, H.F.: Coupled oscillations of a solidly rotating liquid bridge. Acta Astronaut. 9 (1982) 547–563.

    Article  MATH  Google Scholar 

  5. Bauer, H.F.: Natural Damped Frequencies of an Infinitely Long Column of Immiscible Viscous Liquid. Z. Angew. Math. u. Mech. 64, 11 (1984) 475–49+.

    Article  MATH  Google Scholar 

  6. Bauer, H.F.: Free Surface and Interface Oscillations of an Infinitely Long Visco-elastic Liquid Column. Acta Astronautica 13 (1986) 9–22.

    Article  ADS  MATH  Google Scholar 

  7. Bauer, H.F.: Vibrational behavior of a viscous column with a free surface. Z. Flugwiss. Weltraumforsch. 13 (1989) 248–253.

    Google Scholar 

  8. Bauer, H.F. and Eidel, W.: Vibrations of a cylindrical liquid column under the influence of a steady axial micro-gravity field. Forschungsbericht der Universität der Bundeswehr München, LRT-WE-9-FB-1 (1990).

    Google Scholar 

  9. Bauer, H.F. and Eidel, W.: Axial Response of an amphora-type liquid column. Forschungsbericht der Universität der Bundeswehr München, LRT-WE-9-FB-2 (1990).

    Google Scholar 

  10. Bauer, H.F. and Eidel, W.: Natural damped frequencies of a viscous liquid column under steady axial gravity. Forschungsbericht der Universität der Bundeswehr München. LRT-WE-9-FB-12 (1991)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag, Berlin Heidelberg

About this paper

Cite this paper

Bauer, H.F., Eidel, W. (1992). Vibrational Behavior of Amphora Liquid Columns in Microgravity Fields. In: Rath, H.J. (eds) Microgravity Fluid Mechanics. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50091-6_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-50091-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50093-0

  • Online ISBN: 978-3-642-50091-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics