Analytical Expressions of Concentration of VOC and Oxygen in Steady-State in Biofilteration Model

Mayakkannan Sivasankari, Lakshmanan Rajendran

Department of Mathematics, The Madura College, Madurai, India.

DOI: 10.4236/am.2013.42048                

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.

Keywords

Biofilters; Volatile Organic Compounds; Oxygen; Adomian Decomposition Method; Mathematical Modeling; Non-Linear Reaction/Diffusion Equations

Conflicts of Interest

The authors declare no conflicts of interest.

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