An Analytical Method for Reconstruction of Velocity Profiles using a Multi-Electrode Electromagnetic Flow Meter

An analytical method is developed for the reconstruction of velocity profiles using measured potential distributions obtained around the boundary of a multi-electrode electromagnetic flow meter. Since the solution is not unique, a procedure for choosing the optimum velocity profile is proposed for two-phase flows. The method was tested with a complex velocity profile obtained in a two-phase flow using computer simulations. The benefit of this method is that it provides not only a mean flow velocity, but a velocity distribution in a circular section as an analytical function of the spatial coordinates.