A system for continuously processing a combination of materials includes a continuous process vessel having an outlet and one or more inlets. The continuous process vessel is configured to oscillate along an oscillation axis. An acoustic agitator is coupled to the continuous process vessel. The acoustic agitator is configured to oscillate the continuous process vessel along the oscillation axis. An outlet passage is in fluid communication with the outlet. At least a portion of the outlet passage or at least a portion of the continuous process vessel is disposed within a portion of the acoustic agitator.