Addendum to: Mathematical model of dissolution of particles of NaCl in well drilling: Determination of mass transfer convective coefficient

Abstract

In this work, we propose a technique to solve the system of equations of mass balance for the salt solution and mass balance for salt in the solid phase introduced in the paper “Mathematical model of dissolution of particles of NaCl in well drilling: Determination of mass transfer convective coefficient”. In that paper, authors claimed that there is no technique to solve analytically the provided system of equations (actually, authors claimed that is possible an analytical solution for the “steady state” solution), however, from the mathematical viewpoint, the system of equations modelling this transport is a linear hyperbolic system of equations and it is possible to obtain the solution of this system by using the technique of characteristic waves. Since the model proposed in the paper cited can be used for several different transport equation models, it worth to present the general technique and solution that can be applied in other models in the context of transport phenomena.