On the pressure and stress singularities induced by steady flows of incompressible viscous fluids

作     者：G.B.Sinclair X.Chi T.I-P.Shih 

作者机构：Department of Mechanical EngineeringLouisiana State University Department of Aerospace EngineeringIowa State University 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2009年第25卷第4期

页      面：451-462页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 080401[工学-精密仪器及机械] 0807[工学-动力工程及工程热物理] 0804[工学-仪器科学与技术] 080402[工学-测试计量技术及仪器] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Incompressible viscous fluids Navier-Stokes equations Fluid-structure interactions Stress singularities 

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, to date there has been relatively little explicit identification of stress singularities caused by fluid flows. In this study, stress and pressure singularities induced by steady flows of viscous incompressible fluids are asymptotically identified. This is done by taking advantage of an earlier result that the Navier-Stokes equations are locally governed by Stokes flow in angular corners. Findings for power singularities are confirmed by developing and using an analogy with solid mechanics. This analogy also facilitates the identification of flow-induced log singularities. Both types of singularity are further confirmed for two global configurations by applying convergence-divergence checks to numerical results. Even though these flow-induced stress singularities are analogous to singularities in solid mechanics, they nonetheless render a number of structural configurations singular that were not previously appreciated as such from identifications within solid mechanics alone.