Resumo:
The main purpose of this research was to achieve an analytical mathematical model to simulate
the atmospheric pollution caused by a non-stationary pollution point source moving at constant
speed. The pollutant considered is passive and conservative.
The effort to find such a solution was partly due to the fact that a literature review was not able
to find a mathematical model presenting this capability.
The derivation of this model is presented step by step, beginning with the derivation of the
advective-diffusion equation, or the mass transport equation, for the particular case of constant
velocity and homogeneous and anisotropic turbulent diffusion.
Then, a general solution for this equation was achieved, considering a generic source/sink
term. This was obtained with the use of the Complex Fourier Transform, as presented in detail
here.
This general solution was then compared by applying it to cases found in the literature, as the
emission from stationary point sources in steady and unsteady flow and the so called gaussian
plume model. Those solutions were recovered from the general solution obtained here.
By considering the appropriate source sink/term for the situation of a point source moving at
constant speed, the corresponding solution was finally obtained. Then, some properties of this
solution were presented.
