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Rayleigh-Plateau instability on an angled and eccentric wire

Dilip Kumar Maity1,*, Christopher Wagstaff2, Sandip Dighe1, and Tadd Truscott1,†

  • *Contact author: dilip.maity@kaust.edu.sa
  • †Contact author: taddtruscott@gmail.com

Phys. Rev. Fluids 10, 113901 – Published 3 November, 2025

DOI: https://doi.org/10.1103/lmmx-fmtb

Abstract

This research explores the modulation of Rayleigh-Plateau instability by adjusting the orientation angle and eccentricity of a wire within a nozzle. We demonstrate that both the angle and eccentricity significantly influence the Rayleigh-Plateau instability regimes. They both also influence characteristics, such as bead velocity along the wire, bead spacing (wavelength), and bead volume. Notably, when wires are both angled and eccentric, the effect of angle prevails. Our approach includes an empirical scaling analysis, comparing gravity, and viscosity forces on a single bead, yielding a unified empirical viscous force law, and enhancing understanding of Rayleigh-Plateau regime dynamics. This framework enriches our understanding of the forces at play in Rayleigh-Plateau instability and provides practical insights into the manipulation of fluid dynamics in industrial applications.

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References (36)

  1. D. Quéré, Thin films flowing on vertical fibers, Europhys. Lett. 13, 721 (1990).
  2. I. Kliakhandler, S. H. Davis, and S. Bankoff, Viscous beads on vertical fibre, J. Fluid Mech. 429, 381 (2001).
  3. J. A. F. Plateau, Statique Expérimentale et Théorique des Liquides Soumis aux Seules Forces Moléculaires, (Gauthier-Villars, Paris, 1873), Vol. 2.
  4. L. Rayleigh, Xvi. on the instability of a cylinder of viscous liquid under capillary force, Lond. Edinb. Dubl. Phil. Mag. J. Sci. 34, 145 (1892).
  5. F. Kreith and R. Boehm, Direct-Contact Heat Transfer (Springer-Verlag, Berlin, Heidelberg GmbH, 1988).
  6. A. Sadeghpour, Z. Zeng, H. Ji, N. Dehdari Ebrahimi, A. Bertozzi, and Y. Ju, Water vapor capturing using an array of traveling liquid beads for desalination and water treatment, Sci. Adv. 5, eaav7662 (2019).
  7. H. Bai, J. Ju, R. Sun, Y. Chen, Y. Zheng, and L. Jiang, Controlled fabrication and water collection ability of bioinspired artificial spider silks, Adv. Mater. 23, 3708 (2011).
  8. J. Ju, H. Bai, Y. Zheng, T. Zhao, R. Fang, and L. Jiang, A multi-structural and multi-functional integrated fog collection system in cactus, Nat. Commun. 3, 1247 (2012).
  9. T. Gilet, D. Terwagne, and N. Vandewalle, Digital microfluidics on a wire, Appl. Phys. Lett. 95, 014106 (2009).
  10. T. Nozaki, N. Kaji, and Y. H. Mori, Heat transfer to a liquid flowing down vertical wires hanging in a hot gas stream: An experimental study of a new means of thermal energy recovery, in International Heat Transfer Conference Digital Library (Begell House Inc., Korea, 1998).
  11. G. D. Wehinger, J. Peeters, S. Muzaferija, T. Eppinger, and M. Kraume, Numerical simulation of vertical liquid-film wave dynamics, Chem. Eng. Sci. 104, 934 (2013).
  12. K. Hattori, M. Ishikawa, and Y. H. Mori, Strings of liquid beads for gas-liquid contact operations, AIChE J. 40, 1983 (1994).
  13. J. Grünig, T. Skale, and M. Kraume, Liquid flow on a vertical wire in a countercurrent gas flow, Chem. Eng. J. 164, 121 (2010).
  14. J. Grünig, E. Lyagin, S. Horn, T. Skale, and M. Kraume, Mass transfer characteristics of liquid films flowing down a vertical wire in a counter current gas flow, Chem. Eng. Sci. 69, 329 (2012).
  15. H. Chinju, K. Uchiyama, and Y. H. Mori, “String-of-beads” flow of liquids on vertical wires for gas absorption, AIChE J. 46, 937 (2000).
  16. C. Wagstaff, M. Al-Juaied, D. Prabhudharwadkar, and W. L. Roberts, Wetted-wire columns: A potential alternative to packed or spray columns, Rev. Chem. Eng. 40, 601 (2023).
  17. L. B. Smolka, J. North, and B. K. Guerra, Dynamics of free surface perturbations along an annular viscous film, Phys. Rev. E 77, 036301 (2008).
  18. F. Boulogne, L. Pauchard, and F. Giorgiutti-Dauphiné, Instability and morphology of polymer solutions coating a fibre, J. Fluid Mech. 704, 232 (2012).
  19. C. T. Gabbard and J. B. Bostwick, Bead-on-fibre morphology in shear-thinning flow, J. Fluid Mech. 961, A14 (2023).
  20. C. Duprat, C. Ruyer-Quil, S. Kalliadasis, and F. Giorgiutti-Dauphiné, Absolute and convective instabilities of a viscous film flowing down a vertical fiber, Phys. Rev. Lett. 98, 244502 (2007).
  21. C. Duprat, C. Ruyer-Quil, and F. Giorgiutti-Dauphiné, Spatial evolution of a film flowing down a fiber, Phys. Fluids 21, 042109 (2009).
  22. C. T. Gabbard and J. B. Bostwick, Asymmetric instability in thin-film flow down a fiber, Phys. Rev. Fluids 6, 034005 (2021).
  23. Q. Xie, R. Liu, X. Wang, and X. Chen, Investigation of flow dynamics of thin viscous films down differently shaped fibers, Appl. Phys. Lett. 119, 201601 (2021).
  24. S. Haefner, M. Benzaquen, O. Bäumchen, T. Salez, R. Peters, J. D. McGraw, K. Jacobs, E. Raphaël, and K. Dalnoki-Veress, Influence of slip on the Plateau–Rayleigh instability on a fibre, Nat. Commun. 6, 7409 (2015).
  25. A. Sadeghpour, Z. Zeng, and Y. S. Ju, Effects of nozzle geometry on the fluid dynamics of thin liquid films flowing down vertical strings in the Rayleigh–Plateau regime, Langmuir 33, 6292 (2017).
  26. H. Ji, C. Falcon, A. Sadeghpour, Z. Zeng, Y. Ju, and A. Bertozzi, Dynamics of thin liquid films on vertical cylindrical fibres, J. Fluid Mech. 865, 303 (2019).
  27. H. Ji, A. Sadeghpour, Y. S. Ju, and A. L. Bertozzi, Modelling film flows down a fibre influenced by nozzle geometry, J. Fluid Mech. 901, R6 (2020).
  28. A. Pour Karimi, M. Rietz, W. Rohlfs, B. Scheid, and R. Kneer, Experimental study of dripping, jetting and drop-off from thin film flows on inclined fibers, Eur. Phys. J.: Spec. Top. 232, 443 (2023).
  29. A. Pour Karimi, B. Hormann, H. Askarizadeh, W. Rohlfs, B. Scheid, and R. Kneer, Drop-off characteristics of film flow on inclined fibers, Eur. Phys. J.: Spec. Top. 234, 3153 (2025).
  30. S. Eghbali, L. Keiser, E. Boujo, and F. Gallaire, Whirling instability of an eccentric coated fibre, J. Fluid Mech. 952, A33 (2022).
  31. B. Dejean, M. Meyer, and D. Rouzineau, Design and conception of an innovative packing for separation column—part I: Hydrodynamic study on wire intersections, Chem. Eng. Res. Des. 160, 11 (2020).
  32. R. Craster and O. Matar, On viscous beads flowing down a vertical fibre, J. Fluid Mech. 553, 85 (2006).
  33. More details are avialable on the webpage of the free software tracker (2016), https://physlets.org/tracker/.
  34. Z. Zeng, A. Sadeghpour, and Y. S. Ju, Thermohydraulic characteristics of a multi-string direct-contact heat exchanger, Int. J. Heat Mass Transf. 126, 536 (2018).
  35. See Supplemental Material at http://link.aps.org/supplemental/10.1103/lmmx-fmtb for videos..
  36. G. G. Stokes, On the effect of the internal friction of fluids on the motion of pendulums, Transactions of the Cambridge Philosophical Society 9, 8-106 (1851).

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