Research Article Open Access

One-Dimensional Simulation of Diffusion and Advection Effects in Enzymatic Hydrolysis of Cellulose

Norazaliza Mohd Jamil1 and Qi Wang2
  • 1 Faculty of Industrial Sciences and Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia
  • 2 Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208, United States


Enzymatic hydrolysis process to transform lignocellulosic cellulose into sugar in a bioreactor tank involves different controlling factors such as advection, diffusion and fragmentation of cellulose chains. Although it has been observed experimentally that enzymatic hydrolysis is strongly influenced by the environmental effects in a tank, these effects have not been adequately quantified. In this study, a current kinetic model for enzymatic hydrolysis of cellulose was extended by coupling the Population Balance Equations (PBE) with advection and diffusion terms to model the spatial evolution of the system. The mathematical model was solved using the DAE-QMOM technique. The aim of this study was to simulate the effect of diffusion and advection on the fragmentation of cellulose chains during enzymatic hydrolysis in one-dimensional domain. This study demonstrated the applicability and usefulness of a commercial software (COMSOL Multiphysics) for finding the solution of PBE-advection-diffusion in cellulosic hydrolysis problem. The key implication of this work is that advection is a significant phenomenon which could in-crease the number of cellulose particles. Also, diffusion alone cannot increase hydrolysis rate, but the combination of advection and diffusion increases hydrolysis rate.

American Journal of Applied Sciences
Volume 13 No. 7, 2016, 870-876


Submitted On: 7 June 2016 Published On: 13 July 2016

How to Cite: Jamil, N. M. & Wang, Q. (2016). One-Dimensional Simulation of Diffusion and Advection Effects in Enzymatic Hydrolysis of Cellulose. American Journal of Applied Sciences, 13(7), 870-876.

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  • Enzymatic Hydrolysis
  • Advection
  • Diffusion
  • Population Balance Equations
  • Mathematics Subject Classification 2000: 22E46, 53C35, 57S20