Skip to main content
SpringerLink
Log in

On the dynamics of a liquid bridge between a sphere and a vertically vibrated solid surface

  • Original Report
  • Published:
Granular Matter Aims and scope Submit manuscript

Abstract

This work presents an experimental study of the response of a liquid bridge formed between a sphere and a plane solid surface subjected to a vertical sinusoidal vibration. The amplitude and frequency of the oscillations can be varied. The successive movement of the particle along with the bridge deformation is registered to follow the dynamics of the system. The motivation is to figure out how capillary and viscosity forces can be modeled with the help of the experimental data obtained and to settle down a simplified theoretical approach capable of being implemented in the description of many phenomena involving wet granular grains. The results indicate that the viscosity effects can be neglected as soon as the amplitude of the movement is not too small, still obtaining a reasonable description of the dynamical behavior of the sphere/liquid-bridge system.

Graphical abstract

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. O’Hern, C.S.: Computational methods. In: Franklin, S.V., Shattuck, M.D. (eds.) Handbook of Granular Materials, pp. 119–154. CRC Press, Taylor & Francis, Cambridge (2016)

    Google Scholar 

  2. Duran, J.: Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials. Springer, New York (2000)

    Book  MATH  Google Scholar 

  3. Blair, D.L., Kudrolli, A.: Magnetized granular materials. In: Hinrichsen, H., Wolf, D.E. (eds.) The Physics of Granular Media, pp. 281–296. Wiley, Weinheim (2004)

    Chapter  Google Scholar 

  4. Cundall, P.A., Strack, O.D.L.: A discrete numerical model for granular assemblies. Géotechnique 29, 47–65 (1979)

    Article  Google Scholar 

  5. Savage, S.B.: Disorder, diffusion, and structure formation in granular flows. In: Bideau, D. (ed.) Disorder and Granular Media, pp. 255–287. North Holland, Amsterdam (1993)

    Google Scholar 

  6. Herminghaus, S.: Dynamics of wet granular matter. Adv. Phys. 54, 221–244 (2005)

    Article  ADS  Google Scholar 

  7. Crassous, J., Ciccotti, M., Charlaix, E.: Capillary force between wetted nanometric contacts and its application to atomic force microscopy. Langmuir 27, 3468–3473 (2011)

    Article  Google Scholar 

  8. Mitarai, N., Nori, F.: Wet granular materials. Adv. Phys. 55, 1–45 (2006)

    Article  ADS  Google Scholar 

  9. Abdullah, M., Rahmayanti, H.D., Amalia, N., Yuliza, E., Munir, R.: Effective elastic modulus of wet granular materials derived from modified effective medium approximation and proposal of an equation for the friction coefficient between the object and wet granular materials surfaces. Granul. Matter 23, 78 (2021)

    Article  Google Scholar 

  10. Moharamkhani, H., Sepehrinia, R., Taheri, M., Jalalvand, M., Brinkmann, M., Vaez-Allaei, S.M.: Ordered/disordered monodisperse dense granular flow down an inclined plane: dry versus wet media in the capillary bridge regime. Granular Matter 23, 62, and references there in. (2021)

  11. Anand, A., Curtis, J.S., Wassgren, C.R., Hancock, B.C., Ketterhagen, W.R.: Predicting discharge dynamics of wet cohesive particles from a rectangular hopper using the discrete element method (DEM). Chem. Eng. Sci. 64, 5268–5275 (2009)

    Article  Google Scholar 

  12. Lievano, D., Velankar, S., McCarthy, J.J.: The rupture force of liquid bridges in two and three particle systems. Powder Technol. 313, 18–26 (2017)

    Article  Google Scholar 

  13. Ziskind, G., Fichman, M., Gutfinger, C.: Particle behavior on surfaces subjected to external excitations. J. Aerosol. Sci. 31, 703–719 (2000)

    Article  ADS  Google Scholar 

  14. Valenzuela Aracena, K.A., Benito, J.G., Oger, L., Ippolito, I., Uñac, R.O., Vidales, A.M.: Frequency-amplitude behavior for incipient movement of grains under vibration. Particuology 40, 1–9 (2018)

    Article  Google Scholar 

  15. Perales, J.M., Meseguer, J.: Theoretical and experimental study of the vibration of axisymmetric viscous liquid bridges. Phys. Fluids 4, 1110–1130, and references there in (1992)

  16. Valsamis, J.-B., Mastrangeli, M., Lambert, P.: Vertical excitation of axisymmetric liquid bridges. Eur. J. Mech. B. Fluids 38, 47–57 (2013)

    Article  ADS  Google Scholar 

  17. Ichikawa, N., Kawaji, M., Misawa, M., Psofogiannakis, G.: Resonance behavior of a liquid bridge caused by horizontal vibrations. J. Jpn. Soc. Microgravity Appl. 20, 292–300 (2003)

    Google Scholar 

  18. Liang, R.-Q., Kawaji, M.: Surface oscillation and flow structure of a liquid bridge under small vibration. Chin. Phys. Lett. 31, 044701 (2014)

    Article  ADS  Google Scholar 

  19. Benilov, E.S.: Stability of a liquid bridge under vibration. Phys. Rev. E 93, 063118 (2016)

    Article  ADS  Google Scholar 

  20. Haynes, M., Vega, E.J., Herrada, M.A., Benilov, E.S., Montanero, J.M.: Stabilization of axisymmetric liquid bridges through vibration-induced pressure fields. J. Colloids Interface Sci. 513, 409–417 (2018)

    Article  ADS  Google Scholar 

  21. Pitois, O., Moucheront, P., Chateau, X.: Liquid bridge between two moving spheres: an experimental study of viscosity effects. J. Colloid Interface Sci. 231, 26–31 (2000)

    Article  ADS  Google Scholar 

  22. Bozkurt, M.G., Fratta, D., Likos, W.J.: Capillary forces between equally sized moving glass beads: an experimental study. Can. Geotech. J. 54, 1300–1309 (2017)

    Article  Google Scholar 

  23. Agarwal, P., Murdande, R.M., Kandaswamy, A.S., Bobji, M.S.: Dynamic stretching of a liquid bridge. Int. J. Adv. Eng. Sci. Appl. Math. 11, 238–243 (2019)

    Article  Google Scholar 

  24. Ennis, B.J., Li, J., Tardos, G.I., Pfeffer, R. (1990) The influence of viscosity on the strength of an axially strained pendular liquid bridge. Chem. Eng. Sci. 45, 3071–3088

  25. Maugis, D.: Adherence of elastomers: fracture mechanics. J. Adhes. Sci. Technol. 1, 105–134 (1987)

    Article  Google Scholar 

  26. Sudo, S., Innami, S., Matsumoto, K.: Vibration characteristics of liquid bridge between sphere and a solid base subject to vertical vibration. J. JSEM 12, s51–s56 (2012)

    Google Scholar 

  27. Buck, B., Lunewski, J., Tang, Y., Deen, N.G., Kuipers, J.A.M., Heinrich, S.: Numerical investigation of collision dynamics of wet particles via force balance. Chem. Eng. Res. Des. 132, 1143–1159 (2018)

    Article  Google Scholar 

  28. Pu, C., Liu, F., Wang, S.: Liquid force and rupture distance between two particles. Adv. Mater. Sci. Eng., Article ID3542686 (2021)

  29. Butt, H.-J., Kappl, M.: Normal capillary forces. Adv. Colloids Interface Sci. 146, 48–60 (2009)

    Article  Google Scholar 

  30. Matthewson, M.J.: Adhesion of spheres by thin liquid films. Philos. Mag. A 57, 207–216 (1988)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work has been done with financial support from Universidad Nacional de San Luis under the Project PROICO 03-2718 and the International Foundation Program of the University of Navarra. AFV wishes to thank the hospitality received by the Department of Physics and Applied Mathematics during her working stay at the Group of Granular Media, where part of the experiments was developed.

Funding

Funding was provided by Universidad Nacional de San Luis (Grant No. 032718) and Consejo Nacional de Investigaciones Científicas y Técnicas (Grant No. PIP 11220170100245) and International Foundation Program of the University of Navarra.

Author information

Authors and Affiliations

  1. INFAP, CONICET, Departamento de Física, Facultad de Ciencias Físico Matemáticas y Naturales, Universidad Nacional de San Luis, Ejército de los Andes 950, D5700HHW, San Luis, Argentina

    A. F. Vallone, R. O. Uñac & A. M. Vidales

  2. Department of Physics and Applied Mathematics, University of Navarra, Pamplona, Spain

    D. Maza

Authors
  1. A. F. Vallone
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. O. Uñac
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Maza
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. M. Vidales
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. M. Vidales.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest regarding the publication of this article.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vallone, A.F., Uñac, R.O., Maza, D. et al. On the dynamics of a liquid bridge between a sphere and a vertically vibrated solid surface. Granular Matter 25, 28 (2023). https://doi.org/10.1007/s10035-023-01318-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10035-023-01318-x

Keywords

Search

Navigation