Abstract: A analytical solution of axial movement of a non-Newtonian fluid flow in a concentric annulus was set up first and then a numerical solution of a non-Newtonian fluid flow in ari eccentric annulus was found out using numerical method. Considering the above solutions, an empirical model for calculation of pressure loss of non-Newtonian fluid flow in an eccentric annulus was determined by using a multi -parameter regression-analysis method. This method is more convenient in comparison of the approximation method and the numerical method. The error of this method is limited under 5% that can match the engineering requirements.