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Response of a rotating finite annular liquid layer to axial excitation

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Abstract

A solidly rotating finite annular liquid layer consisting of nonviscous liquid is subjected to axial harmonic excitation in a zerogravity environment. The response of the free liquid surface elevation and the velocity in radial and axial direction have been determined in the elliptic forcing frequency range Ω>2Ω0 and in the hyperbolic range Ω>2Ω0 for different diameter ratios.

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References

  1. Rayleigh, Lord: On the capillary phenomenon of jets. Proc. Roy. Soc. London Vol. 29, (1879) pp. 77/97.

    Google Scholar 

  2. Rayleigh, Lord: Theory of Sound. New York: Dover Publ. 1945.

    MATH  Google Scholar 

  3. Lamb, H.: Hydrodynamics. Cambridge: University Press 1932.

    MATH  Google Scholar 

  4. Bauer, H.F.: Natural damped frequencies of an infinitely long column of immiscible viscous liquids. Forsch. Ing.-Wes. Vol. 49 (1983) pp. 117/26.

    Article  Google Scholar 

  5. Bauer, H.F.: Natural damped frequencies of an infinitely long column of immiscible viscous liquids. ZAMM Vol. 64 (1984) pp. 475/90.

    MATH  Google Scholar 

  6. Bauer, H.F.: Free surface- and interface oscillations of an infinitely long visco-elastic liquid column. Acta Astronautica Vol. 13 (1986) pp. 9/22.

    Article  MATH  Google Scholar 

  7. Bauer, H.F.: Coupled oscillations of a solidly rotating liquid bridge. Acta Astronaut. Vol. 9 (1982) Nr. 9, pp. 547/63.

    Article  MATH  Google Scholar 

  8. Tomotika, S.: On the instability of a cylindrical thread of viscous liquid surrounded by another viscous fluid. Proc. Roy. Soc. A Vol. 150 (1935) pp. 322/37.

    MATH  Google Scholar 

  9. Hocking, L.M., andD.H. Michael: The stability of a column of rotating liquid. Mathematika Vol. 6 (1959) pp. 25/32.

    MathSciNet  MATH  Google Scholar 

  10. Hocking, L.M.: The stability of a rotating column of liquid. Mathematika Vol. 7 (1960) pp. 1/9.

    Article  MathSciNet  MATH  Google Scholar 

  11. Gillis, J.: Stability of a column of rotating viscous liquid. Proc. Cambridge Phil. Soc. Vol. 57 (1961) pp. 152/59.

    Article  MATH  MathSciNet  Google Scholar 

  12. Gillis, J., andK.S. Shuh: Stability of a rotating liquid column. The Physics of Fluids Vol. 5 (1962) pp. 1149/55.

    Article  MATH  Google Scholar 

  13. Gillis, J., andB. Kaufmann: The stability of a rotating viscous jet. Quart. Appl. Math. Vol. 19 (1962) pp. 301/08.

    MATH  MathSciNet  Google Scholar 

  14. Bauer, H.F.: Response of an annular cylindrical liquid column in zerogravity. Forschungsber. Univ. d. Bundeswehr München, LRT-WE-9-FB-14 (1988).

  15. Bauer, H.F.: Response of a rotating finite annular liquid layer to axial excitation. Forschungsber. Univ. d. Bundeswehr München, LRT-WE-9-FB-15 (1988).

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  1. Institut für Raumfahrttechnik, Universität der Bundeswehr, 8014, Neubiberg

    Helmut F. Bauer

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  1. Helmut F. Bauer
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Bauer, H.F. Response of a rotating finite annular liquid layer to axial excitation. Forsch Ing-Wes 55, 120–127 (1989). https://doi.org/10.1007/BF02574982

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  • DOI: https://doi.org/10.1007/BF02574982

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