Role of Aspect Ratio and Joule Heating within the Fluid Region Near a Cylindrical Electrode in Electrokinetic Remediation: A Numerical Solution based on the Boundary Layer Model

Abstract

Abstract This contribution focuses on the analysis of the hydrodynamics taking place near an electrode of cylindrical geometry in electrokinetic applications. Both the temperature development conditions and Joule heating effect are included. A boundary layer approach has been used to model the hydrodynamic in the system. This is based on the heat transfer model, the continuity equation, and the Navier–Stokes equation. The resulting set of two partial differential equations mutually coupled is solved applying the Von Karman integral approximation. A numerical solution of the differential–integral model is used to illustrate the behavior of the systems under a variety of conditions.