Abstract
Under the action of a steady axial gravity field a liquid layer experiences a change of natural frequencies in comparison to the annular layer. The natural frequencies exhibit a decrease with increasing axial Bond number and liquid height. This is particularly pronounced in the range of the lower modes. In addition the response of the liquid layer to axial excitation has been investigated and shows resonance peaks for all modes in contrast to those of the circular cylindrical layer. Increase of axial Bond number yields an increase of response magnitude.
Similar content being viewed by others
References
Rayleigh, Lord: On the capillary phenomena of jets. Proc. Roy. Soc. London 29 (1879), pp. 71–97.
Rayleigh, Lord: Theory of Sound. New York 1945.
Lamb, H.: Hydrodynamics. Cambridge University Press 1932.
Bauer, H.F.: Natural damped frequencies of an infinitely long column of immiscible viscous liquids. Forsch. Ing. Wes. 49 (1983), pp. 117–126.
Bauer, H.F.: Natural damped frequencies of an infinitely long column of immiscible viscous liquids. ZAMM 64 (1984), pp. 475–490.
Bauer, H.F.: Free surface-and interface oscillations of an infinitely long visco-elastic liquid column. Acta Astronautica 13 (1986), pp. 9–22.
Bauer, H.F.: Vibrational behavior of a viscous cylindrical liquid layer with a free liquid surface. Forschungsbericht der Universität der Bundeswehr München. LRT-WE-9-FB-4 (1990).
Bauer, H.F. andW. Eidel: Vibrations of a cylindrical liquid column under the influence of a steady axial microgravity field. Microgravity Sci. Technol. III/4 (Febr. 1991), pp. 238–245.
Bauer, H.F. andW. Eidel: Axial response of an amphoratype liquid column. Forschungsbericht der Universität der Bundeswehr München. LRT-WE-9-FB-2 (1990).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bauer, H.F., Kammerer, L. Natural frequencies and axial response of a liquid layer under the influence of an axial steady micro-gravity field. Forsch Ing-Wes 58, 26–34 (1992). https://doi.org/10.1007/BF02561189
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02561189