A Computational Study on the Viscous in Compressible Laminar Separated Flow in a Unit Square Cavity

Abstract

The phenomenon of Fluid flow separation is associated with a number of Fluid Flow Problems faced in real life situation nowadays. To understand these flow problems even under the assumption of the incompressible viscous flow is quiet a difficult task. The complexity lies on the wide variety of laminar separated flows depending on the body shape, several low and high Reynolds number, surface roughness, transition, etc. Several attempts have been made to solve the complete unsteady Navier–Stokes equations for low Re-Laminar flow problems using a variety of formulations. Among them the vorticity-stream function and pressure–velocity formulations are widely used. In this work a type of steady–state incompressible laminar flow problem in a lid-driven unit square cavity has been studied which deals with different low and high Re. For solving this problem attempts have been made to predict the flow characteristics in a uniform laminar cavity of unit square area by solving the full time dependent, Two–dimensional Navier–Stokes equations in Primitive variable formulations. The methods applied in this study can be carried out in different types of Laminar and Turbulent flows raised in our real life situations.