D. Ahmad, F. Tasman, A. Anzira
This paper discusses about a simple mathematical model of the pollutant transfer in n-ponds with three assumptions. First, the amount of pollutant come to the ponds always in constant rate, second, the volume of each pond is the same and third, the water discharge is constant. Using mass conservation rule, the models is constructed for the single water source for single ponds and multiple ponds. After getting the models, the solutions of the model can be achieved analytically. Afterward the solution of the models is investigated in several cases. Firstly, the pollutant that comes to the ponds is not zero, from the solutions the amount of pollutant in a pond is accumulated in the rate of pollutant additions. Secondly, there is no additional pollutant, in this case the amount of pollutant in the first ponds always decreases, but for the next ponds it slightly increases first until a time it start to decrease. The last case if the pond is in pure condition at first then the amount of pollutant in each pond has a linear correlation that increases from the first pond until the last pond. © 2020 Published under licence by IOP Publishing Ltd.
Mathematics Department, Universitas Negeri Padang, Padang, Indonesia
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