On the pressure and stress singularities induced by steady flows of a pair of nonmiscible, incompressible, viscous fluids in contact with a wall

Design for structural integrity requires an appreciation of where stress singularities can occur in structural configurations. While there is a rich literature devoted to the identification of such singular behavior in solid mechanics, only of late has there been much in the way of corresponding ide...

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Bibliographic Details
Published in:Acta mechanica Sinica 2010-10, Vol.26 (5), p.669-673
Main Author: Sinclair, G. B.
Format: Article
Language:English
Subjects:
Asymptotic properties
Classical and Continuum Physics
Computational Intelligence
Engineering
Engineering Fluid Dynamics
Fluid dynamics
Fluid flow
Incompressible flow
Research Paper
Singularities
Solid mechanics
Stresses
Theoretical and Applied Mechanics
Viscous fluids
不可压缩粘性流体
固体力学
应力奇异性
应力诱导
流体流动
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Summary:Design for structural integrity requires an appreciation of where stress singularities can occur in structural configurations. While there is a rich literature devoted to the identification of such singular behavior in solid mechanics, only of late has there been much in the way of corresponding identifications of flow-induced stress singularities in fluid mechanics. These recent asymptotic identifications are for a single incompressible viscous fluid： Here the asymptotic approach is extended to apply to a configuration entailing two such fluids, For this configuration, various specifications leading to power or log singularities are determined. These results demonstrate that flow-induced stress singularities can occur in a structural container at a location where no singularities are identified within solid mechanics alone.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-010-0366-z