Digestion process slurry crude terephthalic acid obtained from the oxidation of p- xylene in a bubble column reactor oxidation process is provided. The method includes one or more isolated regions defined by horizontal baffles is carried out in one or more bubble column reactors, the particles flowing through the digestion system, terephthalic acid partially oxidized intermediates while maximizing conversion to be controlled so as to minimize the formation of other contaminating products. Temperature, flow and oxygen content, and other processing and equipment variables are controlled so as to support the formation of terephthalic acid throughout the process. Structured bubble column digestion system to perform the cooking method is also provided.
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