Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 30
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Camassa, Roberto Marzuola, Jeremy L. Ogrosky, H. Reed and Vaughn, Nathan 2016. Traveling waves for a model of gravity-driven film flows in cylindrical domains. Physica D: Nonlinear Phenomena, Vol. 333, p. 254.


    Wang, Qiming and Papageorgiou, Demetrios T. 2016. Using electric fields to induce patterning in leaky dielectric fluids in a rod-annular geometry. IMA Journal of Applied Mathematics, p. hxw017.


    Wang, Qiming 2016. Stability and Breakup of Liquid Threads and Annular Layers in a Corrugated Tube with Zero Base Flow. SIAM Journal on Applied Mathematics, Vol. 76, Issue. 2, p. 500.


    Haefner, Sabrina Bäumchen, Oliver and Jacobs, Karin 2015. Capillary droplet propulsion on a fibre. Soft Matter, Vol. 11, Issue. 35, p. 6921.


    Haefner, Sabrina Benzaquen, Michael Bäumchen, Oliver Salez, Thomas Peters, Robert McGraw, Joshua D. Jacobs, Karin Raphaël, Elie and Dalnoki-Veress, Kari 2015. Influence of slip on the Plateau–Rayleigh instability on a fibre. Nature Communications, Vol. 6, p. 7409.


    Camassa, Roberto Ogrosky, H. Reed and Olander, Jeffrey 2014. Viscous film flow coating the interior of a vertical tube. Part 1. Gravity-driven flow. Journal of Fluid Mechanics, Vol. 745, p. 682.


    Duruk, Selin and Oron, Alexander 2014. Stability analysis of a thin liquid film on an axially oscillating cylindrical surface in the high-frequency limit. Physical Review E, Vol. 90, Issue. 2,


    Liu, Rong and Liu, Qiu Sheng 2014. Thermocapillary effect on the dynamics of viscous beads on vertical fiber. Physical Review E, Vol. 90, Issue. 3,


    Ding, Zijing Wong, Teck Neng Liu, Rong and Liu, Qiusheng 2013. Viscous liquid films on a porous vertical cylinder: Dynamics and stability. Physics of Fluids, Vol. 25, Issue. 6, p. 064101.


    Mayo, Lisa C. McCue, Scott W. and Moroney, Timothy J. 2013. Gravity-driven fingering simulations for a thin liquid film flowing down the outside of a vertical cylinder. Physical Review E, Vol. 87, Issue. 5,


    Sirwah, Magdy A. and Zakaria, Kadry 2013. Nonlinear evolution of the travelling waves at the surface of a thin viscoelastic falling film. Applied Mathematical Modelling, Vol. 37, Issue. 4, p. 1723.


    Grünig, J. Lyagin, E. Horn, S. Skale, T. and Kraume, M. 2012. Mass transfer characteristics of liquid films flowing down a vertical wire in a counter current gas flow. Chemical Engineering Science, Vol. 69, Issue. 1, p. 329.


    Ruyer-Quil, Christian and Kalliadasis, Serafim 2012. Wavy regimes of film flow down a fiber. Physical Review E, Vol. 85, Issue. 4,


    Ding, Zijing and Liu, Qiusheng 2011. Stability of liquid films on a porous vertical cylinder. Physical Review E, Vol. 84, Issue. 4,


    Haimovich, Ory and Oron, Alexander 2011. Nonlinear dynamics of a thin nonisothermal liquid film on an axially oscillating cylindrical surface. Physical Review E, Vol. 84, Issue. 6,


    Novbari, E. and Oron, A. 2011. Analysis of time-dependent nonlinear dynamics of the axisymmetric liquid film on a vertical circular cylinder: Energy integral model. Physics of Fluids, Vol. 23, Issue. 1, p. 012105.


    Smolka, Linda B. and SeGall, Marc 2011. Fingering instability down the outside of a vertical cylinder. Physics of Fluids, Vol. 23, Issue. 9, p. 092103.


    Zhao, Lu-hai-bo Hu, Guo-hui and Zhou, Zhe-wei 2011. Linear instability of ultra-thin liquid films flowing down cylindrical fibre. Applied Mathematics and Mechanics, Vol. 32, Issue. 2, p. 133.


    CONROY, D. T. CRASTER, R. V. MATAR, O. K. and PAPAGEORGIOU, D. T. 2010. Dynamics and stability of an annular electrolyte film. Journal of Fluid Mechanics, Vol. 656, p. 481.


    Gilet, T. Terwagne, D. and Vandewalle, N. 2010. Droplets sliding on fibres. The European Physical Journal E, Vol. 31, Issue. 3, p. 253.


    ×
  • Journal of Fluid Mechanics, Volume 553
  • April 2006, pp. 85-105

On viscous beads flowing down a vertical fibre

  • R. V. CRASTER (a1) and O. K. MATAR (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112006008706
  • Published online: 06 April 2006
Abstract

The vertical flow of a fluid, under the influence of gravity, down the exterior of a rigid fibre is a flow accompanied by rich dynamics manifested via the formation of droplets, or beads, driven by a Rayleigh mechanism modulated by the presence of gravity. These droplets propagate down the fibre and undergo coalescence with preceding droplets. Different flow regimes are possible depending on system parameters such as the fibre radius, liquid flow rate and physical properties. We derive an evolution equation for the interface in the long-wavelength approximation, which captures the flow characteristics of the system; this model is similar to those previously used to investigate the dynamics of slender viscous threads in the absence of the fibre. Analytical and numerical solutions of the evolution equation yield information regarding the shape and propagation speeds of the droplets, which is in good agreement with available experimental data as well as those obtained as part of the present work. Connections with models already available in the literature are also established.

Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax