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    Le Roux, Sébastien Roché, Matthieu Cantat, Isabelle and Saint-Jalmes, Arnaud 2016. Soluble surfactant spreading: How the amphiphilicity sets the Marangoni hydrodynamics. Physical Review E, Vol. 93, Issue. 1,


    Hanyak, Myroslava Sinz, David K. N. and Darhuber, Anton A. 2012. Soluble surfactant spreading on spatially confined thin liquid films. Soft Matter, Vol. 8, Issue. 29, p. 7660.


    Leiske, Danielle L. Monteux, Cécile Senchyna, Michelle Ketelson, Howard A. and Fuller, Gerald G. 2011. Influence of surface rheology on dynamic wetting of droplets coated with insoluble surfactants. Soft Matter, Vol. 7, Issue. 17, p. 7747.


    Sinz, David K. N. Hanyak, Myroslava Zeegers, Jos C. H. and Darhuber, Anton A. 2011. Insoluble surfactant spreading along thin liquid films confined by chemical surface patterns. Physical Chemistry Chemical Physics, Vol. 13, Issue. 20, p. 9768.


    Sinz, David K.N. Hanyak, Myroslava and Darhuber, Anton A. 2011. Immiscible surfactant droplets on thin liquid films: Spreading dynamics, subphase expulsion and oscillatory instabilities. Journal of Colloid and Interface Science, Vol. 364, Issue. 2, p. 519.


    Peterson, E. R. and Shearer, M. 2010. Radial Spreading of a Surfactant on a Thin Liquid Film. Applied Mathematics Research eXpress,


    Craster, R. V. and Matar, O. K. 2009. Dynamics and stability of thin liquid films. Reviews of Modern Physics, Vol. 81, Issue. 3, p. 1131.


    King, J. R. Münch, A. and Wagner, B. A. 2009. Linear stability analysis of a sharp-interface model for dewetting thin films. Journal of Engineering Mathematics, Vol. 63, Issue. 2-4, p. 177.


    Matar, O. K. and Craster, R. V. 2009. Dynamics of surfactant-assisted spreading. Soft Matter, Vol. 5, Issue. 20, p. 3801.


    Halpern, David Fujioka, Hideki Takayama, Shuichi and Grotberg, James B. 2008. Liquid and surfactant delivery into pulmonary airways. Respiratory Physiology & Neurobiology, Vol. 163, Issue. 1-3, p. 222.


    Pauliac-Vaujour, Emmanuelle and Moriarty, Philip 2007. Meniscus-Mediated Organization of Colloidal Nanoparticles. The Journal of Physical Chemistry C, Vol. 111, Issue. 44, p. 16255.


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  • Journal of Fluid Mechanics, Volume 554
  • May 2006, pp. 5-24

The spreading and stability of a surfactant-laden drop on a prewetted substrate

  • O. E. JENSEN (a1) and S. NAIRE (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112005008104
  • Published online: 24 April 2006
Abstract

We consider a viscous drop, loaded with an insoluble surfactant, spreading over a flat plane that is covered initially with a thin liquid film. Lubrication theory allows the flow to be modelled using coupled nonlinear evolution equations for the film thickness and surfactant concentration. Exploiting high-resolution numerical simulations, we describe the multi-region asymptotic structure of the spatially one-dimensional spreading flow and derive a simplified ODE model that captures its dominant features at large times. The model includes a version of Tanner's law accounting for a Marangoni flux through the drop's effective contact line, the magnitude of which is influenced by a rarefaction wave in the film ahead of the contact line. Focusing on the neighbourhood of the contact line, we then examine the stability of small-amplitude disturbances with spanwise variation, using long-wavelength asymptotics and numerical simulations to describe the growth-rate/wavenumber relationship. In addition to revealing physical mechanisms and new scaling properties, our analysis shows how initial conditions and transient dynamics have a long-lived influence on late-time flow structures, spreading rates and contact-line stability.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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