Multiplicity of Steady State Solutions in ۲-D Incompressible Viscous Wall Driven Arc-Shaped Cavity ‎Flow

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 (

Keywords:

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