Prediction of flows with porous inserts in the inertial flow regime

A. G. Churbanov


Abstract: This work deals with predicting flows of an incompressible fluid in systems consisting of a clear fluid and fluid-saturated porous body. The mathematical model used in calculations is based on the volume-averaged Navier–Stokes equations. To implement this model numerically, the open computational platform FEniCS is used. The model porous body considered here is a square array of circular cylinders. Calculations were carried out in a wide range of the Reynolds number including both the creeping flow regime and inertial one. An estimate is obtained for the Reynolds number that indicates a transition from the creeping flow regime to the inertial one.

Keywords: porous body, volume-averaged Navier–Stokes equations, the FEnCS platform, inertial flow regime.