%0 Journal Article
%T Multiplicity of Steady State Solutions in 2-D Incompressible Viscous Wall Driven Arc-Shaped Cavity Flow
%J Journal of Applied Fluid Mechanics
%I
%Z 1735-3572
%A Erturk, E.
%D 2021
%\ 07/01/2021
%V 14
%N 4
%P 1147-1163
%! Multiplicity of Steady State Solutions in 2-D Incompressible Viscous Wall Driven Arc-Shaped Cavity Flow
%K Arc
%K shaped cavity flow
%K Multiple steady state solutions
%K Bifurcation Reynolds number
%K 2
%K D incompressible viscous flow
%K Arc length ratio
%R 10.47176/jafm.14.04.32281
%X Numerical simulations of the steady 2-D incompressible viscous flow in an arc-shaped cavity are presented. The Navier–Stokes equations in streamfunction and vorticity formulation are solved numerically using a body fitted mesh obtained by a conformal mapping. Our numerical results reveal that the arc-shaped cavity flow has multiple steady solutions above a bifurcation Reynolds number when the arc length ratio is less than 1/2 (
%U https://www.jafmonline.net/article_1149_8632ded7abf13242bc9606db1987ca8f.pdf