Bifurcation and multiplicity of solutions of the navier-stokes equations in driven semi-elliptical cavity flow
Yükleniyor...
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MDPI
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, bifurcations in the solution of the Navier-Stokes equations are studied and multiple solutions of the driven semi-elliptical cavity flow are presented. The two-dimensional steady incompressible driven viscous flow in a semi-elliptical cavity is solved numerically. To this end, the problem is formulated using an elliptic coordinate system that transforms the geometry conformally and provides a body fitted coordinate system. The presented results show that above a bifurcation Reynolds number the solution of the governing flow equations bifurcates and there exist multiple solutions for a particular Reynolds number when the aspect ratio of the semi-elliptical cavity geometry is 0.26 <= D <= 0.8. The bifurcation Reynolds numbers for different aspect ratios and also multiple solutions at different Reynolds numbers are presented in detail.
Açıklama
Anahtar Kelimeler
Navier-Stokes Equations, Semi-Elliptical Cavity Flow, Bifurcation Reynolds Number, Multiplicity Of Solutions
Kaynak
MATHEMATICS
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
10
Sayı
22
Künye
Erturk, E., & Allahviranloo, T. (2022). Bifurcation and Multiplicity of Solutions of the Navier–Stokes Equations in Driven Semi-Elliptical Cavity Flow. Mathematics, 10(22), 4242.
