Here, the following research questions were then posed to investigate the effect of feeding on macromixing in multi-impeller vessels: First, is it possible to simplify the universal advection-diffusion equation (eq 1) to attain general results as hypothesized in the paragraph above? Second, how should a single feed point be placed to minimize the time-scale of mixing? Third, is there any notable benefit in using multiple feed points in multi-impeller configurations? Finally, how should the multiple feed points be placed?