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

Duffy, B.R. ORCID: https://orcid.org/0000-0003-2687-7938

Wilson, Stephen ORCID: https://orcid.org/0000-0001-7841-9643

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• Item metadata

  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:	10 Jan 2022 08:53
  URI:	https://strathprints.strath.ac.uk/id/eprint/42728