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Flow of a liquid layer over heated topography

Citation

Blyth, MG and Bassom, AP, Flow of a liquid layer over heated topography, Proceedings of the Royal Society A, 468, (2148) pp. 4067-4087. ISSN 1364-5021 (2012) [Refereed Article]

Copyright Statement

This journal is © 2012 The Royal Society

DOI: doi:10.1098/rspa.2012.0409

Abstract

The flow of a viscous liquid layer over an inclined uneven wall heated from below is considered. The flow is assumed to occur at zero Reynolds number and the thermal Péclet number is taken to be sufficiently small that the temperature field inside the layer is governed by Laplace’s equation. With a prescribed wall temperature distribution and Newton’s Law of cooling imposed at the layer surface, the emphasis is placed on describing the surface profile of the liquid layer and, in particular, on studying how this is affected by wall heating. A linearized theory, valid when the amplitude of the wall topography is small, is derived and this is complemented by some nonlinear results computed using the boundary element method. It is shown that for flow over a sinusoidally shaped wall the liquid layer can be completely flattened by differential wall heating. For flow over a flat wall with a downwards step, it is demonstrated how the capillary ridge that has been identified by previous workers may be eliminated by suitable localized wall cooling in the vicinity of the step.

Item Details

Item Type:Refereed Article
Keywords:film flow, thermocapillary, topography
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105596
Year Published:2012
Web of Science® Times Cited:4
Deposited By:Mathematics and Physics
Deposited On:2016-01-08
Last Modified:2017-11-01
Downloads:0

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