A new membrane enzyme reactor system is proposed, and its performance is analytically and numerically examined by operational modes. This membrane-separated, two-compartmental reactor is operated in a cyclic manner such that ultrafiltration swing is induced either by a pulsatile flow or by an alternating pressure difference. Substrate and product solutins are permeable to the membrane while enzyme is impermeable. In one reservoir, enzyme solution is stored into which substrate is supplied by diffusion-coupled ultrafiltration and product is removed by the same mechanism into the substrate compartment, which is similar to CSTR in view of fluid mixing and continuous inlet-outlet flows, but differs from CSTR in a sense that reaction takes place only in the enzyme compartment.
The governing model equations are derived and their analytical solutions are obtained for fast reaction and high ultrafiltration with first-order kinetics. In addition, nonlinear Michaelis-Menten kinetics problem is solved numerically. As a result, we have found that the system can increase the conversion substantially compared with previous diffusion-moderated enzyme reactors where diffusion very often can limit the extent of conversion.