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On the pressure and stress singularities induced by steady flows of a pair of nonmiscible,incompressible,viscous fluids in contact with a wall 被引量:1

On the pressure and stress singularities induced by steady flows of a pair of nonmiscible,incompressible,viscous fluids in contact with a wall
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摘要 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. 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.
作者 G.B.Sinclair
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第5期669-673,共5页 力学学报(英文版)
关键词 Incompressible viscous fluids - Navier-Stokes equations Fluid-structure interactions Stress singularities Incompressible viscous fluids - Navier-Stokes equations Fluid-structure interactions Stress singularities
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  • 1Sinclair, G.B.: Stress singularities in classical elasticity--Ⅱ: Asymptotic identification. Appl. Mech. Rev. 57, 385-439 (2004).
  • 2Kondrat'ev, V.A.: Asymptotic solution of the Navier-Stokes equations near the angular point of the boundary. J. Appl. Math. Mech. 31, 125-129 (1967).
  • 3Blum, H., Rannacher, R.: On the boundary value problem of the biharmonic operator on domains with angular comers. Math. Meth. Appl. Sci. 2, 556-581 (1980).
  • 4Rayleigh, L.: In Scientific Papers VI 18-21. Cambridge University Press, Cambridge (1920).
  • 5Dean, W.R., Montagnon, P.E.: On the steady motion of viscous liquid in a comer. Proc. Camb. Phil. Soc. 45, 389-394 (1949).
  • 6Moffatt, H.K.: Viscous and resistive eddies near a sharp comer. J. Fluid Mech. 18, 1-18 (1964).
  • 7Liu, C.H., Joseph, D.D.: Stokes flow in wedge-shaped trenches. J. Fluid Mech. 80, 443-463 (1977).
  • 8Moffatt, H.K.: The asymptotic behavior of solutions of the Navier-Stokes equations near sharp corners. In: Proceedings of Symposium on Approximation Methods for Navier-Stokes Problems, Paderborn, Germany, 371-380.
  • 9Springer Verlag, Berlin (1979) Milikan, R.A.: Coefficients of slip in gases and the law of reflection of molecules from the surfaces of solids and liquids. Phys. Rev. 21, 217-238 (1923).
  • 10Williams, M.L.: Stress singularities resulting from various boundary conditions in angular comers of plates in extension. J. Appl. Mech. 19, 526-528 (1952).

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