Travelling-wave similarity solution for unsteady flow around a dry patch driven by gravity and constant surface shear stress

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Mohd Yatim, Yazariah and Duffy, Brian and Wilson, Stephen; (2012) Travelling-wave similarity solution for unsteady flow around a dry patch driven by gravity and constant surface shear stress. In: Proceedings of the 2nd International Symposium on Frontiers of Computational Sciences 2012. AIP, PAK, pp. 88-98. ISBN 9789698453022

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Abstract

In this paper we use the lubrication approximation to analyse three-dimensional unsteady flow of a thin film of Newtonian fluid around a symmetric slender moving dry patch on an inclined planar substrate. The flow being driven by gravity and a prescribed constant shear stress at the free surface. We obtain a novel unsteady travelling-wave similarity solution for the dry patch of uniform thickness, in which the dry patch travels at constant speed. This solution predicts that the dry patch has a parabolic shape which may be concave up or concave down the substrate. In all cases investigated numerically the film thickness is found to increase monotonically away from the contact line.

ORCID iDs

Mohd Yatim, Yazariah, Duffy, Brian ORCID logoORCID: https://orcid.org/0000-0003-2687-7938 and Wilson, Stephen ORCID logoORCID: https://orcid.org/0000-0001-7841-9643;
  • Item type:Book Section
    ID code:42782
    Dates:
    Date
    Event
    2012
    Published
    Notes:The entry has been updated and a copy of the document is attached
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:07 Feb 2013 15:59
    Last modified:02 Dec 2024 01:04
    URI:https://strathprints.strath.ac.uk/id/eprint/42782
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