Simple waves and shocks in a thin film of a perfectly soluble anti-surfactant solution View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-12

AUTHORS

J. J. A. Conn, B. R. Duffy, D. Pritchard, S. K. Wilson, K. Sefiane

ABSTRACT

We consider the dynamics of a thin film of a perfectly soluble anti-surfactant solution in the limit of large capillary and Péclet numbers in which the governing system of nonlinear equations is purely hyperbolic. We construct exact solutions to a family of Riemann problems for this system, and discuss the properties of these solutions, including the formation of both simple-wave and uniform regions within the flow, and the propagation of shocks in both the thickness of the film and the gradient of the concentration of solute. More... »

PAGES

167-178

References to SciGraph publications

  • 1997-11. A mathematical model for drying paint layers in JOURNAL OF ENGINEERING MATHEMATICS
  • 2004-11. Flow of surfactant-laden thin films down an inclined plane in JOURNAL OF ENGINEERING MATHEMATICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10665-017-9924-8

    DOI

    http://dx.doi.org/10.1007/s10665-017-9924-8

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1090953389


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