The object of the work has been the study of a waste incinerator, suitably treated, by means of plasma technology on board of a ship. The first analyses have reached the objective of defining a simplified numerical model for purely engineering applications to characterize the plasma incinerator, the heat exchanges and the reactions taking place inside it. Different 2D geometries and different models of heat exchange and chemical reaction sets have been compared. The choice has fallen on models that can best represent the plasma-waste interaction without, however, excessive burdens that would make the numerical analysis excessively expensive for engineering applications that often require answers in a relatively short time. The numerical models used have allowed to represent the fluid dynamics of the furnace, the injection of the waste, the volatilization of the volatile part, the neutralization of the plasma, the gasification of the plasma, the completion of the oxidation of the volatile part, etc...A sensitivity analysis has been carried out in order to optimize the efficiency of the incinerator and the right proportions between waste flow rate, combustion air and plasma have been evaluated. This analysis was carried out by varying the geometric configuration of the furnace, operating conditions such as flow rates and temperatures, particle size of the waste introduced.