A theoretical study of a membrane/enzyme reactor with sinusoidal ultrafiltration swing.

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A general model for the sinusoidal convective operation of a two-compartment membrane enzyme reactor was suggested to investigate theoretically the effect of ultrafiltration on reactor performance. From a phenomenological theory for membrane and solvent balance in the two regions separated by an ultrafiltration membrane, a pair of governing equations and physically meaningful dimensionless variables were obtained. Damkohler number (λ2), ratio of convective to diffusive fluxes (F) and dimensionless frequency (W) well explained the behavior of the reactor in batch mode, and residence time parameter (L-1) was added to study the performance in continuous mode. In the batch reactor, the data from numerical simulation were fitted to the exponential decay proposed by Furusaki et al. and decay slope was studied in view of λ2, F and W. Conversion enhancement in the continuous reactor was observed in a diffusion-controlled region. Dimensionless frequency W was related to the volume change in the two compartments. It was found that lower frequency favors conversion under the restriction of W>F.
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