E. Erturk - Bahcesehir University, School of Applied Disciplines, Istanbul, Turkey

Numerical simulations of the steady ۲-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 ۱/۲ (

Arc, shaped cavity flow, Multiple steady state solutions, Bifurcation Reynolds number, ۲, D ‎incompressible viscous flow, Arc length ratio‎