Missile Space Intelligence Command

In most practical solid rocket motor design processes, final designs for grains are arrived at using computer-generated grids. This process is imminently practical for cases in which small numbers of final geometries are to be considered. However, for a grain design optimization process in which large numbers of grain configurations are to be considered, generating grids for each candidate design is often prohibitive. For such optimization processes analytical developments of burn perimeter and port area for two-dimensional grains are critically important. This paper offers a detailed development of the burn-back equations for a slotted grain with burning only on the slot faces