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

Bilgil H.

APPLIED MATHEMATICS E-NOTES, cilt.19, ss.456-464, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19
  • Basım Tarihi: 2019
  • Dergi Adı: APPLIED MATHEMATICS E-NOTES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.456-464
  • Kayseri Üniversitesi Adresli: Hayır

Özet

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.