acoustic-mean flow interaction in solid propellant rocket motors

there are several sources for pressure oscillations in solid propellant rocket motors. oscillatory flow field is one of them. free shear layers in motor flow field cause vortex shedding. end edges of propellant grains and baffle edge in two-segmented motors are samples of such zones. these vortices move from their forming points and strike the field walls. the kinetic energy of vortices change to pressure, forming acoustical pressure oscillations. acoustical characteristics of pressure oscillations such as frequency and amplitude change with the gradual change in the internal geometry of the motor. in this paper, the interaction between mean flow and acoustic field in a solid propellant rocket motor is studied numerically. roe’s flux function in an unstructured grid strategy for solving compressible viscous flow equations show large changes in frequency of pressure oscillations in motor. six different motor geometries are used for simulation of motor internal geometry at different burning times and grain configurations. using this methodology, the frequency and intensity of pressure waves are well predicted. it is also shown that frequency jump from second longitudinal mode to the first is formed as a result of changes in the internal geometry.