A predicable condition for boundary layer separation of 2-D incompressible fluid flows. (April 2015)

• Record Type: Journal Article
• Authors: Luo, Hong; Wang, Quan; Ma, Tian
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 336
• Page End: 341
• Publication Date: 2015-04
• Subjects: Boundary layer separation -- 2-D incompressible fluid flows -- Navier–Stokes equations; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.09.007
• Languages: English
• ISSNs: 1468-1218

Abstract

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 Ma and Wang (2005).