Effect of the Reynolds number on flow bifurcations and eddy genesis in a lid-driven sectorial cavity

Bilgil H., Gurcan F.

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, vol.33, no.2, pp.343-360, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1007/s13160-016-0212-1
  • Journal Name: JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.343-360
  • Keywords: Bifurcation, Eddy, Finite element, Flow structure, Stagnation point, Streamline, STOKES-FLOW, CONVECTION, SURFACES
  • Kayseri University Affiliated: No

Abstract

This paper presents the two-dimensional (2D) steady incompressible flow in a lid-driven sectorial cavity. In order to analyze the flow structures, the 2D Navier-Stokes equations are solved by using the finite element method. Different cases of the cavity aspect ratio A and three cases of the speed ratios of the upper and the lower lids are considered. The finite element formulation for the governing equations is adopted via the velocity-pressure formulation. By varying A for each S, the effect of the Reynolds number on the streamline patterns and their bifurcations are investigated in range . A comparison between the obtained results and some earlier studies is presented.