Laminar and turbulent power law fluid flow passing a square cylinder

In this work, a two-dimensional laminar and turbulent Power law fluid flow passing a square cylinder is numerically investigated. In the investigation, a finite volume code based on the SIMPLEC algorithm and non-staggered grid was used. In the discretization of the convective and diffusive terms, the third-order QUICK and the second-order central difference scheme, respectively were used. The turbulent flow was simulated using the model. Extensive numerical results of the drag coefficient, root mean square of the lift coefficient, Strouhal number, stream functions, pressure coefficient, time-averaged velocities and power law viscosity are presented to determine the influence of the Power law index and Reynolds number. Laminar flows discussed in the present work are within the ranges:  and  covering shear thinning, Newtonian and shear thickening fluids. Turbulent flows within the ranges of Re=13000 and 22000 and  were also evaluated numerically and discussed.   Key words: Single square cylinder, turbulence   modeling, power law fluid, lift and drag coefficients, Strouhal number.