Simulation of Diffusion Advection Phenomena with Retardation and Source/Sink Terms Using a Series of Completely Mixed Reactors

Abstract

In this research, pollution transport in a 1-D domain with a source/sink and a retardation term is simulated using a series of completely mixed reactors. It is shown that as the volume of these reactors approaches zero, the governing equation of the system becomes identical to the advection diffusion partial differential equation. By application of mass balance to a finite number of completely mixed reactors, a set of ordinary differential equations which is equivalent to spatially discretized form of the equation is obtained in a completely natural and intuitive way. More importantly, the proposed innovative model can offer a conceptual insight into pollution transport phenomena and is flexible to any change for different problems.