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

G. B. Sinclair1
1Department of Mechanical Engineering, Louisiana State University, Baton Rouge, USA

Tóm tắt

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.

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Tài liệu tham khảo

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Sinclair G.B., Chi S., Shih T.I.-P.: On the pressure and stress singularities induced by steady flows of incompressible viscous fluids. Acta Mech. Sin. 25, 451–462 (2009)

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