Skip to main content
Log in

Surface Oscillation of a Liquid Bridge Induced by Single and Multiple Vibrations

  • Original Article
  • Published:
Microgravity Science and Technology Aims and scope Submit manuscript

Abstract

A three dimensional numerical model has been developed based on a level set algorithm to predict the surface oscillation behavior of a liquid bridge induced by single and multiple vibrations under space environment. By subjecting the liquid bridge to single lateral vibration, the surface resonance characteristics have been predicted numerically. Moreover, the controlling mechanism of the surface oscillation under multiple vibrations is also determined, and the results show the external vibrations at resonance frequency in lateral direction completely control the surface oscillation in horizontal direction.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Acero, F.J., Montanero, J.M.: Influence of isorotation on the linear dynamics of liquid bridges. Phys. Fluids 17(7), 078105 (2005)

    Article  Google Scholar 

  • Chen, T.Y., Tsamopoulos, J.: Nonlinear dynamics of capillary bridges: theory. J. Fluid Mech. 255, 373–409 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  • Gañán-Calvo, A.M.: Oscillations of liquid captive rotating drops. J. Fluid Mech. 226, 63–89 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  • Higuera, M., Nicolás, J.A.: Linear nonaxisymmetric oscillations of nearly inviscid liquid bridges. Phys. Fluids 9(2), 276–285 (1997)

    Article  Google Scholar 

  • Ichikawa, N., Kawaji, M., Misawa, M., Psofogiannakis, G.: Resonance behavior of a liquid bridge caused by horizontal vibrations. JASMA. Jpn. Soc. Microgravity Appl. 20(4), 292–299 (2003)

    Google Scholar 

  • Kawaji, M., Liang, R.Q., Nasr-Esfahanya, M., Simic-Stefania, S., Yoda, S.: The effect of small vibrations on Marangoni convection and the free surface of a liquid bridge. Acta Astronaut. 58, 622–639 (2006)

    Article  Google Scholar 

  • Leonard, B.P.: Stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng. 19(1), 59–98 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  • Martinez, I.: Stability of liquid bridges. Results of SL-D1 experiment. Acta Astronaut. 15(6–7), 449–453 (1986)

    Google Scholar 

  • Mollot, D.J., Tsamopoulos, J., Chen, T.Y., Ashgriz, N.: Nonlinear dynamics of capillary bridges: experiments. J. Fluid Mech. 255, 411–435 (1993)

    Article  MathSciNet  Google Scholar 

  • Montanero, J.M., Ferrera, C.: A simple model to describe the lateral oscillations of axisymmetric liquid bridges. Phys. Fluids 20(2), 022103–8 (2008)

    Article  Google Scholar 

  • Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton–Jacobi formulations. Comput. Phys. 79(1), 12–49 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  • Sanz, A.: The influence of the outer bath in the dynamics of axisymmetric liquid bridges. J. Fluid Mech. 156, 101–140 (1985)

    Article  MATH  Google Scholar 

  • Sanz, A., Diez, J.L.: Non-axisymmetric oscillations of liquid bridges. J. Fluid Mech. 205, 503–521 (1989)

    Article  Google Scholar 

  • Sussman, M., Smereka, P., Osher, S.: A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114, 146–159 (1994)

    Article  MATH  Google Scholar 

  • Tsamopoulos, J., Chen, T.Y., Borkar, A.: Viscous oscillations of capillary bridges. J. Fluid Mech. 235, 579–609 (1992)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ruquan Liang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, R., Kawaji, M. Surface Oscillation of a Liquid Bridge Induced by Single and Multiple Vibrations. Microgravity Sci. Technol. 21 (Suppl 1), 31–37 (2009). https://doi.org/10.1007/s12217-009-9116-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12217-009-9116-x

Keywords

Navigation