On the drag force of a solid sphere in power law model

Abstract

A theoretical approach for estimation of the drag correlation coefficients in the flow of Newtonian or weak non-Newtonian liquids around spherical solid particles is presented. Some new analytical relations are derived by using a modified stream function. It is shown that these relationships can be applicable in a wide range of Reynolds number, up to Re < 1000 for the liquids with a flow behaviour index, n, in the range of 0.5 < n <1. The predicted coefficients from these relationships are in very good agreement with the experimental data given in the literature.