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Abstract
Exact analytical expressions are derived for the optimal design (minimum overall reaction volume) of N perfectly mixed membrane reactors in series carrying out an enzyme catalysed Michaelis-Menten, one-substrate/one-product reversible reaction. The equations enable the direct calculation of the smallest total reactor volume needed for a given overall conversion degree. Results show that when substrate rejection is present, membrane reactors perform better compared with continuous stirred tank reactors.
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