Quasi-One-Dimensional Modeling of Internal Ballistic in Solid Propellant Rocket Considering Saderholm Erosive Burning Model

In this study, different flow analysis models in solid rocket motor are presented. Amongst these models, some are not capable of predicting the effects of significant phenomena such as erosive burning and longitudinal acceleration. In order to consider these effects on the internal ballistic, a quasi-one-dimensional model was developed which employs generalized flow equations. A non-viscous and incompressible quasi-one-dimensional flow with friction, mass injection and flow crosssection variation were taken into account in the governing equations. Then, assuming quasi unsteady flow and considering pressure drop and variation of nozzle throat diameter, and also neglecting the heat transfer in the walls, the governing equations were integrated along the engine length at each time increment. Finally, the flow characteristics inside the engine including the distribution of pressure, temperature, and Mach number along the engine as well as functional characteristics of the engine such as chamber pressure during the burning process were determined as a function of time. Erosive burning effects on the burning rate are of great importance at various conditions. Therefore,, the results of the model were compared with the experimental data of Saderholm model