Theoretical investigation on combustion heterogeneity in interior ballistics of mortar using Population Balance Equation

The ever-rolling progress of weapon systems has proven to demand an increase in precision in the models to be able to achieve further improvements. In the field of Interior Ballistics, one of the elements that remains excluded from most models is the combustion heterogeneity due to non-equilibrium of pressure. This paper presents a zero-dimensional model of a mortar. It includes two chambers: the combustion chamber and the cartridge with combustion heterogeneity occurring between these two chambers. The model adapted to this kind of problem is the Population-Balance-Equation (PBE). A successful attempt to solve the PBE numerically in this case, using the class method, is presented in this work to theoretically address the quantification of the impact of combustion heterogeneities too often ignored.