Application Of Mathematical Modelling To Diesel-Fuelled Energy Emission

BSTRACT

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 diusion is fundamental to this thesis as well as its

mathematical derivations from the initial principles to the explanation of the governing

partial dierential equation. Dimensional analysis technique has been employed as well

as Fick's rst and second law of diusion. The concentration distribution of a pollutant

freed into the atmosphere may be dened by the advection-diusion equation which is a

second-order partial dierential equation of parabolic form.

Assumptions underlying the model in this thesis have been explained, their origin

from advection diusion 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).

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