Theoretical analysis and simulation of immobilized enzyme reactors

A general mathematical model has been developed for predicting the performance and simulation of a packed bed immobilized enzyme reactor performing lactose hydrolysis, which follows Michaelis-Menten kinetics with competitive product (galactose) inhibition. The performance characteristics of a packed bed immobilized enzyme reactor have been analyzed taking into account the effects of various diffusional phenomena like axial dispersion, internal, external and simultaneous effects of internal and external mass transfer limitations. The model design equations are then solved by the method of weighted residuals such as Galerkin's method and orthogonal collocation on finite elements.; The effects of intraparticle diffusion resistances, external mass transfer and axial dispersion have been studied and their effects were shown to reduce both internal effectiveness factor and time required to reach final steady-state. The effects of product inhibition have been investigated at different operating conditions correlated at different regimes using dimensionless β _xo (St, Bi, &thetas;, &phis;). Product inhibition was shown to reduce substrate conversion, and to decrease effectiveness factor when β_s > β_xo, however it increases internal effectiveness factor when β_s < β_xo. The effectiveness factor is found to be independent of product inhibition at cross-over point at which β_xo is defined. Effects of St and Pe have been investigated at different kinetic regimes and the results show their effects have a strong dependence on kinetic parameters &thetas; γ (i.e K_m/K_p) and β _xo.