TITLE:
Analytical Expressions of Concentration of VOC and Oxygen in Steady-State in Biofilteration Model
AUTHORS:
Mayakkannan Sivasankari, Lakshmanan Rajendran
KEYWORDS:
Biofilters; Volatile Organic Compounds; Oxygen; Adomian Decomposition Method; Mathematical Modeling; Non-Linear Reaction/Diffusion Equations
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.2,
February
27,
2013
ABSTRACT: Mathematical models of steady-state biofilteration are discussed. The theoretical results are much useful for the design of biofilters. This model is based on the system of non-linear reaction/diffusion equations contains a non-linear term related to Monod kinetics, Andrews kinetics, interactive model from Monod kinetics and Andrews kinetics. Analytical expression of concentration of VOC (Volatile organic compounds) and oxygen are derived by solving the system of non-linear equations using Adomian decomposition method (ADM) method. Our analytical results are also compared with the simulation results. Satisfactory agreement is noted.