Abstract: A system for continuously processing materials. The system includes a continuous process vessel (CPV) and an acoustic agitator coupled to the CPV and configured to agitate the CPV along an oscillation axis. The CPV includes at least one inlet configured for introducing first and second process ingredients into an upper portion, with respect to the oscillation axis, of the CPV. The CPV includes an outlet for discharging the product of mixing the ingredients from a lower portion, with respect to the oscillation axis, of the CPV. The CPV includes a plurality of mixing regions, each defined by an upper angled surface and a lower angled surface. The surfaces of each mixing region are angled such that the distance between the surfaces is greater towards the upper portion of the continuous process vessel than the distance between the surfaces towards the lower portion of the continuous process vessel.