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Modelling and Simulation of Enzymatic Membrane Reactor for Hydrolysis of Ibuprofen Ester: Separation of Products
Author(s) -
Long Wei Sing,
Kamaruddin Azlina Harun,
Bhatia Subhash
Publication year - 2005
Publication title -
developments in chemical engineering and mineral processing
Language(s) - English
Resource type - Journals
eISSN - 1932-2143
pISSN - 0969-1855
DOI - 10.1002/apj.5500130508
Subject(s) - orthogonal collocation , diffusion , ibuprofen , membrane reactor , péclet number , orthogonal array , nonlinear system , chemistry , fiber , membrane , mathematics , chromatography , materials science , collocation method , differential equation , mechanics , organic chemistry , thermodynamics , mathematical analysis , physics , composite material , medicine , ordinary differential equation , biochemistry , quantum mechanics , taguchi methods , pharmacology
The enzymatic hydrolysis of racemic ibuprofen ester by lipase from Candida rugosa using a hollow‐fiber membrane reactor was studied. The modeling and simulation of an enzymatic membrane reactor was based on the diffusion of (S)‐ibuprofen acid product which leaves the reactor from the lumen side of the capillary fibers. The mathematical model containing a set of nonlinear partial differential equations was solved using orthogonal collocation technique. Orthogonal collocation technique is a weighted residual method based on Jacobi polynomials incorporating orthogonal trial functions. This paper presents a numerical technique of high efficiency, based on the orthogonal collocation of weighted residuals in solving the nonlinear partial differential equations of product diffusion in the capillary fibers. The modelling simulation study provided a better understanding of the process dynamics and product separation in the integrated enzymatic membrane reactor. The simulation study shows that noticeable product diffusion and transport occurred throughout the region of the fiber length, with 63.0% of product concentration (solute concentration) obtained at the exit of the fiber. The input parameters investigated were Peclet number and weighing function parameters, α and β. The best simulation results were achieved at the optimal 10 collocation points.