An Application Of Khuri's Biorthogonality Condition On Stokes Flow In A Rectangular Cavity

Bilgil H.

APPLIED MATHEMATICS E-NOTES, vol.19, pp.456-464, 2019 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19
  • Publication Date: 2019
  • Journal Name: APPLIED MATHEMATICS E-NOTES
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.456-464
  • Kayseri University Affiliated: No

Abstract

The paper present a different semi-analytical solutions for the Stokes flow in a rectangular cavity by using the biorthogonality condition of the eigenfunctions. Firstly, the biorthogonality condition for rectangular cavity is applied on Stokes Flow problem. Secondly, the biorthogonality condition and the new solution is verified against results available in the literature. Further, it has been found that this solution mechanism is efficient and it can be successfully used to obtain flow structures and bifurcations.