Stationary solutions of incompressible viscous flow in a wall-driven semi-circular cavity

Stationary numerical solutions of incompressible viscous flow inside a wall-driven semicircular cavity are presented. After conformal mapping the geometry, using body-fitted mesh, Navier-Stokes equations solved numerically. The stationary in semi-circular computed up to Re = 24000. present results good agreement with published found literature. Our show that as Reynolds number increases, sizes secondary and tertiary vortices increase, whereas size primary vortex decreases. At large numbers, vorticity at centre increases almost linearly stating Batchelor’s mean-square law is not valid for flow. Detailed presented also tabulated future references benchmark purposes.