FORWARD PROBLEM FOR POLLUTION CONTROL BASED ON STREETER-PHELPS EQUATION

Abstract

The relationship between the discharger and the water quality of the receptor streams was described by a mathematical equation, for the first time introduced in the early 20th century, known as the Streeter – Phelps equation. There have been many follow-up studies to develop this work; however, most of these stopped in the case of steady-state flows and discharges. The expansion through the unsteady case is unnoticed. In this study, the Streeter-Phelps equation is considered in its most general form, accounting for the temporal variation of both the flow and the discharger over time. This study inherits the previous studies but considers for the case of an unstead discharger, especially when the pollutant concentration in the wastewater exceeds the allowable standard. The mathematical model Streeter – Phelps is applied in the case of insteady of the waste discharger. The results show that the error with other products like MIKE is in the range of less than 10%. This result allows the application of the Streeter - Phelps model to the pollution control problem.