Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 20
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Peng, J. Jiang, L. Y. Zhuge, W. L. and Zhang, Y. J. 2016. Falling film on a flexible wall in the presence of insoluble surfactant. Journal of Engineering Mathematics, Vol. 97, Issue. 1, p. 33.


    Che, Zhizhao Deygas, Amandine and Matar, Omar K. 2015. Impact of droplets on inclined flowing liquid films. Physical Review E, Vol. 92, Issue. 2,


    Che, Zhizhao Fang, Fangxin Percival, James Pain, Christopher Matar, Omar and Navon, Michael 2014. An ensemble method for sensor optimisation applied to falling liquid films. International Journal of Multiphase Flow, Vol. 67, p. 153.


    Karapetsas, George and Bontozoglou, Vasilis 2014. The role of surfactants on the mechanism of the long-wave instability in liquid film flows. Journal of Fluid Mechanics, Vol. 741, p. 139.


    Anjalaiah, Usha, R. and Millet, S. 2013. Thin film flow down a porous substrate in the presence of an insoluble surfactant: Stability analysis. Physics of Fluids, Vol. 25, Issue. 2, p. 022101.


    Gerasimov, S. V. Mogilevskii, E. I. and Shkadova, V. P. 2013. Effect of evaporation and diffusion of a surface-active substance on the instability of a falling liquid film. Moscow University Mechanics Bulletin, Vol. 68, Issue. 2, p. 44.


    Georgantaki, A Vlachogiannis, M and Bontozoglou, V 2012. The effect of soluble surfactants on liquid film flow. Journal of Physics: Conference Series, Vol. 395, p. 012165.


    Thiele, Uwe Archer, Andrew J. and Plapp, Mathis 2012. Thermodynamically consistent description of the hydrodynamics of free surfaces covered by insoluble surfactants of high concentration. Physics of Fluids, Vol. 24, Issue. 10, p. 102107.


    Pereira, Antonio and Kalliadasis, Serafim 2008. Dynamics of a falling film with solutal Marangoni effect. Physical Review E, Vol. 78, Issue. 3,


    Sisoev, Grigori M. Matar, Omar K. and Lawrence, Chris J. 2008. The Flow of Thin Liquid Films Over Spinning Discs. The Canadian Journal of Chemical Engineering, Vol. 84, Issue. 6, p. 625.


    Pereira, A. Trevelyan, P. M. J. Thiele, U. and Kalliadasis, S. 2007. Dynamics of a horizontal thin liquid film in the presence of reactive surfactants. Physics of Fluids, Vol. 19, Issue. 11, p. 112102.


    Matar, Omar K. and Lawrence, Chris J. 2006. The effect of surfactant on the flow of a thin liquid film over a spinning disc. Chemical Engineering Science, Vol. 61, Issue. 4, p. 1074.


    Wei, Hsien-Hung 2005. Stability of a viscoelastic falling film with surfactant subjected to an interfacial shear. Physical Review E, Vol. 71, Issue. 6,


    Wei, Hsien-Hung 2005. Effect of surfactant on the long-wave instability of a shear-imposed liquid flow down an inclined plane. Physics of Fluids, Vol. 17, Issue. 1, p. 012103.


    Shkadov, V. Ya. Velarde, M. G. and Shkadova, V. P. 2004. Falling films and the Marangoni effect. Physical Review E, Vol. 69, Issue. 5,


    Leneweit, Gero Roesner, Karl G. and Koehler, Reinhard 2003. Effect of surfactants on the stability of thin liquid film flow on a rotating disk. Journal of Colloid and Interface Science, Vol. 260, Issue. 2, p. 349.


    Velarde, M. G. Shkadov, V.Ya and Shkadova, V. P. 2000. Influence of a sureactant on the instability of a falling liquid film. Fluid Dynamics, Vol. 35, Issue. 4, p. 515.


    Danov, Krassimir D. Alleborn, Norbert Raszillier, Hans and Durst, Franz 1998. The stability of evaporating thin liquid films in the presence of surfactant. I. Lubrication approximation and linear analysis. Physics of Fluids, Vol. 10, Issue. 1, p. 131.


    Ji, Wei and Setterwall, Fredrik 1995. Effect of heat transfer additives on the instabilities of an absorbing falling film. Chemical Engineering Science, Vol. 50, Issue. 19, p. 3077.


    Luca, Luigi De and Meola, Carosena 1995. Surfactant effects on the dynamics of a thin liquid sheet. Journal of Fluid Mechanics, Vol. 300, Issue. -1, p. 71.


    ×
  • Journal of Fluid Mechanics, Volume 278
  • November 1994, pp. 297-323

On the instabilities of vertical falling liquid films in the presence of surface-active solute

  • Wei Ji (a1) and Fredrik Setterwall (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112094003721
  • Published online: 01 April 2006
Abstract

A linear-stability analysis is performed on a vertical falling film with a surface-active solute. It is assumed in the present model that the surfactant is soluble and volatile. In addition to the surface wave mode and the ‘wall wave’ mode which originate from the gravity-driven flow of the falling film itself, a new mode of instability related to the Marangoni effect induced by surface tension gradients is found for low Reynolds numbers and for moderate- or short-wavelength disturbances. The new mode is thought to be analogous to the thermocapillary instability examined first by Pearson (1958). The Marangoni instability of large-wavelength disturbances, revealed by Goussis & Kelly (1990) in a study of a liquid layer heated from below, may be completely suppressed in the present system by the effect of surface-excess concentration of the surfactant. The influence of the desorption of the solute and of its adsorption at the gas-liquid interface is determined for both the surface wave mode and the new wave mode. Desorption of the surfactant is shown to be responsible for the Marangoni instability of the new mode.

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