Flow topology in an L‐shaped cavity with lids moving in the same directions


Çelik E., Deliceoğlu A., Bozkurt D.

Mathematical Methods In The Applied Sciences, no.2020, pp.8317-8326, 2020 (SCI-Expanded)

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Doi Number: 10.1002/mma.5972
  • Journal Name: Mathematical Methods In The Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.8317-8326
  • Erciyes University Affiliated: Yes

Abstract

Flow development and eddy structure in an L‐shaped cavity with lids moving in the same directions have been investigated using both tools from topological and numerical methods. In particular, structural bifurcation near a nonsimple degenerate point is investigated by making a local analysis of the velocity field based on a Taylor series expansion. The streamlines of a Hamiltonian vector field system are simplified by using the homotopy invariance of the index theory. A series of bifurcation curves are constructed to determine the sequence of flow structures by which eddies are generated in the L‐shaped cavity.