A computationally efficient technique for the solution of pulp washing models

Abstract EN

An efficient numerical technique for the solution of the pulp washing model is proposed in this study.

Two linear and one nonlinear model are explained with quintic Hermite collocation method (QHCM).

In this technique, quintic Hermite polynomials (C² continuous) are used as a basis function, and an orthogonal collocation method is applied within each element of the partitioned domain.

For accuracy and applicability of the method, a comparison of the numerical results with analytic ones is made.

The method is found to be stable using stability analysis and convergence criteria.

The effect of Peclet number on exit solute concentration and other parameters is presented in the form of breakthrough curves.

The results are derived for a broad range of parameters, and the present method is found to be more efficient and refined for solving the two-point boundary value problems.