Mathematical Model for Pollutant Uptake by Multiple Root Branching Structure of a Plant

Abstract

Aim: To develop a mathematical model for dependence of rate of pollutant uptake by       the cylindrical root on the length and density of root hairs.

Method: Specific geometrical properties of root hairs, in particular their radius and density in order to approximate their influence on pollutant uptake, are considered for development of the model.

Result: A mathematical expression is derived for the pollutant uptake. The analytical solution of the model with some specific boundary conditions is compared with numerical results.

Conclusion: It is estimated that there is a linear relationship between the increase in root surface area and the pollutant flux.

Key Words: uptake parameter, asymptotic matching, van Genuchten formula, relative water content