Application of mathematical modelling to diesel-fuelled energy emission.

Abstract

In this thesis the Gaussian plume model is proposed as a method for solving problems related to the transportation of pollutants due to advection by wind and turbulent dif- fusion. The idea of advection and di usion is fundamental to this thesis as well as its mathematical derivations from the initial principles to the explanation of the governing partial di erential equation. Dimensional analysis technique has been employed as well as Fick's rst and second law of di usion. The concentration distribution of a pollutant freed into the atmosphere may be de ned by the advection-di usion equation which is a second-order partial di erential equation of parabolic form. Assumptions underlying the model in this thesis have been explained, their origin from advection di usion equation and the important properties of the plume solution in the atmosphere. The results are then applied to solving problem in which emission rates are strongminded in a given power plant. We demonstrated our outcomes with an application for ongoing research of emission from diesel power plant (Anixas Power Plant, Walvis Bay).