New results on the approximate solution of the non‐linear partial derivative equation system of corona‐electrostatic separation

Abstract

Purpose

The purpose of this paper is to add precisions to a method, to demonstrate the convergence, to explain time and memory space complexities and new simulated results on a non‐linear partial derivative equation system governing corona‐electrostatic electric field for granular mixture separation.

Design/methodology/approach

The method converts the non‐linear partial derivative system into an iterative system of linear equations. Using the well‐known finite difference approximation, a numerical solution is computed very quickly.

Findings

The paper gives the truncated error and the approximation error to conclude to the convergence.

Originality/value

The paper shows the fast numerical solution leads to confidence in the numerical approximations for the comprehension of the phenomenon. Extends the corona‐electrostatic electric field for granular mixture separation to new geometries easily.

Citation

Caron, A. (2009), "New results on the approximate solution of the non‐linear partial derivative equation system of corona‐electrostatic separation", Kybernetes, Vol. 38 No. 5, pp. 762-779. https://doi.org/10.1108/03684920910962650