Numerical Analysis of the Reaction-diffusion Equation for Soluble Starch and Dextrin as Substrates of Immobilized Amyloglucosidase in a Porous Support by Using Least Square Method

Abstract

Substrates' concentration profile was studied in a porous matrix containing immobilized amyloglucosidase for glucose production. This analysis was performed by using an analytical method called Least Square Method, and the results were compared with numerical solution. Effects of effective diffusivity, Michael's constant, maximum reaction rate and initial substrate concentration were studied on Soluble Starch and Dextrin concentration in the spherical support. The outcomes revealed that Least Square Method has an excellent agreement with numerical solution, and in the center of support, substrate concentration is minimum. Increasing of effective diffusivity and Michael's constant reduced the Soluble Starch and Dextrin profile gradient