In a column-type reactor agitated with multi-stage paddles, the state of mixing and the appearance of flowing of liquid were observed with the aid of dye solution injected in it. By this experiment, it was found that the liquid is mixed in such a way as to show a distinct concentration difference in each agitator region and at the same time uniform mixing throughout the reactor. From this observation, the authors assumed for convenience' sake that a part of the liquid (φ) in the reactor flows in piston-type movement while the rest (1-φ) in perfect mixing; hence was derived an equation to relate the fraction of piston-type flow (φ) to the conversion (z) in the first order reaction as follows:
Secondly, the empirical equation to estimate the fraction of piston-type flow (φ) was derived when the height-to-diameter ratio of the reactor (H/D), the rotational speed of the agitator (N) and the nominal holding time (θ) were varied.
Good agreement was proved by comparing the values z
cals calculated by the above equation, with the values z
ex, observed in our experiments on the hydrolysis of acetic anhydride.
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