Research note on power-series expression of mass concentration profile in nonlinear diffusion-reaction processes

Abstract

In this paper, a steady state one-dimensional diffusion-reaction process is considered. As a descriptive mathematical model for such processes, a high nonlinear boundary value problem (BVP) for a second order ordinary differential equation is associated. By using an opportune integral representation for the solution of such BVP, fundamentals aspects are provided in order to support the existence and uniqueness of a power series expression as solution of the BVP. So that, a contribution has been reached, leading to provide information of practical significance regarding to the mass concentration profile of the key reactant component in the process.