Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film

Yatim, Y.M. and Duffy, B.R. and Wilson, Stephen (2013) Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film. Sains Malaysiana, 42 (7). pp. 975-980. ISSN 0126-6039

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Abstract

We investigate unsteady flow of a thin film of Newtonian fluid around a symmetric slender dry patch moving with constant velocity on an inclined planar substrate, the flow being driven by a prescribed constant shear stress at the free surface of the film (which would be of uniform thickness in the absence of the dry patch). We obtain a novel unsteady travelling-wave similarity solution which predicts that the dry patch has a parabolic shape and that the film thickness increases monotonically away from the dry patch.

ORCID iDs

Yatim, Y.M., Duffy, B.R. ORCID logoORCID: https://orcid.org/0000-0003-2687-7938 and Wilson, Stephen ORCID logoORCID: https://orcid.org/0000-0001-7841-9643;
  • Item type:Article
    ID code:42728
    Dates:
    Date
    Event
    2013
    Published
    Notes:updated
    Keywords:thin-film flow, travelling-wave, similarity solutions, dry patch, Mathematics, General
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:04 Feb 2013 16:42
    Last modified:07 Oct 2022 01:01
    URI:https://strathprints.strath.ac.uk/id/eprint/42728
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