Mathematical Model for Unsteady Remediation of River Pollution by Aeration

The governing coupled pair of nonlinear unsteady-state equations describing the concentration of the pollutant P(x,t) and the dissolved oxygen concentration X(x,t) in a river are solved numerically in one dimension x. The initial values of both P(x,t) and X(x,t) are assumed to be decreasing exponential functions in x. The results are presented and discussed graphically. We have proved mathematically the fact that the high concentration of pollutant can be reduced by releasing adequate discharges from barrage in a river. The different effects of parameters controlling the flow on both P(x,t) and X(x,t) are studied along the river at different time t