Travelling-wave similarity solution for unsteady flow around a dry patch driven by gravity and constant surface shear stress
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
PDF.
Filename: YMY_ISFCS2012.pdf
Preprint Download (181kB) |
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: https://orcid.org/0000-0003-2687-7938 and Wilson, Stephen ORCID: https://orcid.org/0000-0001-7841-9643;-
-
Item type: Book Section ID code: 42782 Dates: DateEvent2012PublishedNotes: 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: 23 Sep 2024 00:27 URI: https://strathprints.strath.ac.uk/id/eprint/42782