Drag coefficient for irregularly shaped grains: rotational dependence at high Reynolds numbers

Abstract

The nature and behaviour of the drag coefficient of irregularly shaped grains within a wide range of Reynolds numbers is discussed. Using computational fluid dynamics (CFD) tools, the behaviour of the boundary layer at high Re has been determined by applying the Reynolds Averaged Navier-Stokes turbulence model (RANS). The dependence of the mesh size and the grid resolution in the modelling are validated with the previous experimental results applied in flow around isolated smooth spheres. The drag coefficient for irregularly shaped grains is shown to be higher than that for spherical shapes, also showing a strong drop in its value at high Re (drag crisis) but lower than that of the sphere. The influence of the angle of incidence of the flow with respect to the particle is analysed, where our findings show an interesting oscillatory behaviour of the drag coefficient as a function of the angle of incidence, fitting the results to a sine-squared interpolation, predicted for particles within the Stokes' laminar regime and for bodies with an ellipsoidal shape (elongated and flattened spheroids) up to Re=2000. The statistical analysis shows a Weibullian behaviour of the drag coefficient when random polar and azimuthal rotation angles are considered.Comment: 14 page