Mathematical Model of Oxygen Concentration on County Solid Waste Management at Dumpsite

Abstract

This study presents the development of one-dimensional mathematical model capable of simulating simultaneous processes of oxygen flow. The resulting governing equations is partial differential equation (PDE) which have been solved by separation of variables method. The goal is to study the three transport parameters; effective diffusivity, decay constant rate and porosity on the oxygen concentration which results in degradation of refuse because after a long-term process in the dumpsite.  Solutions of the model equation are obtained using Separation of variables. The results are presented graphically. From the simulated results it is found that for the particular time, oxygen concentration decreases with increase in reaction rate constant (k) with times and depths at the dumpsite. Oxygen concentration at the dumpsite increases with increase in porosity at a particular time at all depths. Oxygen concentration increases with increase in effective diffusivity () time and depth.