The report reviews the physical-mixing phenomena involved in the reactions that occur in afterburners or fume incinerators. It considers mixing in after-burners from three points of view. It first covers typical designs of afterburner components that are involved in the mixing phenomena: with the paucity of performance information available, there is no clear-cut indication of the superiority of any particular design. Secondly, it considers the possible application of mathematical modeling principles developed for studies of conventional furnaces to afterburner design: although the problem for the afterburner is basically simpler, practical application of mathematical modeling still seems some time off. Thirdly, it presents empirical relations available in the literature for describing the performance of jet flow systems similar to various afterburner components: these relations permit an estimate of time/temperature histories of various flow paths through different afterburner designs. Overall, the design of adequate afterburners from the mixing point of view seems well within the current state of the art.