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Response of an anchored frictionless liquid bridge to pitching bottom and/or top excitation

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Abstract

The natural frequencies and response of a circular cylindrical liquid bridge consisting of incompressible and non-viscous liquid has been determined. Three cases of pitching excitations have been treated: synchronous- and counter-excitation of the end discs, as well as the pitching excitation of only one end disc. The contact lines were considered to be anchored at the end discs.

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References

  1. Rayleigh, Lord J.W.S.: On the capillary phenomena of jets. Proc. Roy. Soc. 29 (1879) 71–79.

    Google Scholar 

  2. Rayleigh, Lord J.W.S.: On the instability of cylindrical fluid surfaces. Philo Mag. 34 (1892) 177–180.

    Google Scholar 

  3. Lamb, H.: Hydrodynamics. New York: Dover Publ. 1945, 471–472.

    Google Scholar 

  4. Martinez, I.: Liquid column stability, ESA-SP-222 (1984) 31–36.

  5. Meseguer, J.: The breaking of axisymmetric slender liquid bridges. J. Fluid Mech. 130 (1983) 123–151.

    Article  MATH  MathSciNet  Google Scholar 

  6. Martinez, I. andMeseguer, J.: Floating liquid zones in microgravity. Scientific results of the German Spacelab mission D1 (in:Sahm, Jansen, Keller) 1986, 105–112.

  7. Bauer, H.F.: Natural frequencies and stability of circular cylindrical immiscible liquid systems. Appl. Micro Gravity Technol. 2 (1989) 27–44.

    Google Scholar 

  8. Bauer, H.F.: Response of a viscous liquid column with anchored edges to axial excitation. Z. Flugwiss, Weltraumforsch. 16 (1992) 42–48.

    Google Scholar 

  9. Sanz, A.: The influence of an outerbath on the dynamics of axisymmetric liquid bridges. J. Fluid Mech. 156 (1985) 101–104.

    Article  MATH  Google Scholar 

  10. Perales, J.M.: Dinámica de Columnas Liquidas. Tesis Doctora, Universidad Politécnica de Madrid (1990).

  11. Bauer, H.F.: Free surface and interface oscillations of an infinitely long visco-elastic liquid column. Acta Astron. 13 (1986) 9–22.

    Article  MATH  Google Scholar 

  12. Bauer, H.F.: Axial response and transient behavior of a cylindrical column in zero gravity. Z. Flugwiss. Weltraumforsch. 14 (1990) 174–190.

    Google Scholar 

  13. Bauer, H.F.: Response of a liquid column to one-sided axial excitation in zero-gravity. Forsch. Ing.-Wes. 56 (1990) 14–21.

    Article  Google Scholar 

  14. Bauer, H.F.: Response of a liquid column to counter-directional excitation under zero-gravity. J. Spacecraft and Rockets 27 (1990) 675–680.

    Article  Google Scholar 

  15. Bauer, H.F.: Natural axisymmetric frequencies of cylindrical liquid column with anchored free surface. J.S.M.E. Intern. Journal Series III Vol. 34 (1991) 475–480.

    Google Scholar 

  16. Bauer, H.F.: Response of a non-viscous liquid liquid column and layers with anchored liquid surface to axial excitation. J.S.M.E. Intern. Journal Series II Vol. 34 (1991) 474–481.

    Google Scholar 

  17. Bauer, H.F.: Response of a liquid column with respect to oscillatory top- and bottom excitation. J. Sound and Vibr. 142 (1990) 379–390.

    Article  Google Scholar 

  18. Bauer, H.F.: Oscillatory response of a liquid column to counter rotational excitation. J. Sound and Vibr 142 (1990) 125–139.

    Article  Google Scholar 

  19. Bauer, H.F.: Response of a liquid bridge with rotationally excited bottom. J. Appl. Mech. 59 (1992) 191–195.

    MATH  Google Scholar 

  20. Bauer, H.F.: Response of a viscous liquid column to various pitch excitation. Acta Astron 21 (1990) 553–569.

    Article  MATH  Google Scholar 

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Bauer, H.F., Komatsu, K. Response of an anchored frictionless liquid bridge to pitching bottom and/or top excitation. Forsch Ing-Wes 60, 237–243 (1994). https://doi.org/10.1007/BF02601310

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