A mechanism for slip between a liquid and a random surface with trapped gas due to a temperature gradient

The motivating example for this study is the flow of a viscous liquid over a hairy surface, with gas trapped in the hairs. This sort of bounding surface is found on the surfaces of many partly submerged river plants, for example. Thus, on a microscopic scale, the boundary condition between the visco...

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Bibliographic Details
Published in:IMA journal of applied mathematics 1996-02, Vol.56 (1), p.103-108
Main Author: JANSONS, K. M
Format: Article
Language:English
Subjects:
Contact angle
Exact sciences and technology
Fluid dynamics
Fluid mechanics
Fundamental areas of phenomenology (including applications)
Gases
Interfaces (materials)
Laminar flows
Liquids
Low-reynolds-number (creeping) flows
Physics
Problem solving
Reynolds number
Surface tension
Surfaces
Thermal effects
Viscosity of liquids
Viscous flow
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Summary:The motivating example for this study is the flow of a viscous liquid over a hairy surface, with gas trapped in the hairs. This sort of bounding surface is found on the surfaces of many partly submerged river plants, for example. Thus, on a microscopic scale, the boundary condition between the viscous liquid and the bounding surface is almost entirely that for a liquid-gas interface, except on the protruding hair tips. For simplicity we assume that the liquid-gas part of the bounding surface is planar, which clearly can occur if the pressure jump across the interface is negligible on roughness dimensions and the contact angles on the hairs have the right values. The macroscopic slip length for a viscous flow over the surface can be determined by using the results of an earlier study. However, in this study, the author also includes the effect of a temperature gradient, and obtains a generalized boundary condition.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/56.1.103