A predicable condition for boundary layer separation of 2-D incompressible fluid flows

2014/03/09 by Hong Luo, Quan Wang, Luo, Hong +3
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1403.2375

arxiv created 2014/03/09 · openalex publication_date 2014/03/09 · arxiv updated 2014/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, the solutions of Navier-Stokes equations with Dirichlet boundary conditions governing 2-D incompressible fluid flows are considered. A condition for boundary layer separation, which is determined by initial values and external forces, is obtained. More importantly, the condition can predict directly when and where boundary layer separation will occur. The main technical tool is geometric theory of incompressible flows developed by T. Ma and S.Wang.

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