Modelling of substrate inhibited immobilized enzyme systems with external and internal mass transfer resistances

The effectiveness factor for an encapsulated immobilized enzyme particle of spherical geometry has been investigated by considering both external and internal substrate diffusion resistances. The enzymatic reactions. are considered with and without substrate inhibition. Further, the effects of membrane thickness, Sherwood Number, dimensionless inhibitor constant and the ratio of the substrate diffusion coefficients in the enzyme solution and the membrane are estimated parametrically. The numerical results are obtained for a range of variables of practical importance. For numerical solutions, an iterative scheme has been introduced to satisfy the boundary conditions. The scheme employs the Newton - Raphsons’ Method. A single suitably selected value of dimensionless substrate concentration is sufficient to satisfy the boundary conditions for all given values of the parameters investigated.