Analytical Expression of Concentration Profiles of Methanol and Pinene in Air Stream and Bio-Film Phase
Meena V and Rajendran L*
Department of Mathematics, The Madura College, Madurai, Tamilnadu, India
- *Corresponding Author:
- L. Rajendran
Department of Mathematics
The Madura College, Madurai-625011
Tel: +91 9442228951
E-mail: [email protected]
Received Date: November 12, 2014; Accepted Date: November 29, 2014; Published Date: December 04, 2014
Citation: Meena V, Rajendran L (2014) Analytical Expression of Concentration Profiles of Methanol and Pinene in Air Stream and Bio-Film Phase. J Anal Bioanal Tech 5:228. doi: 10.4172/2155-9872.1000228
Copyright: ©2014 Meena V, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
In this paper, mathematical models of biofilteration of mixtures of hydrophilic (methanol) and hydrophobic (α-pinene) volatile organic compounds (VOC’s) are discussed. This model is based on the system of diffusion equations containing a nonlinear term related to the Michaelis- Menten kinetic of the enzymatic reaction. The model describes the mass transfer in air-biofilm interface and chemical oxidation in the air stream phase. An approximate analytical expression of concentration profiles of methanol and α-pinene in air stream and bio-film phase have been derived using the Adomian decomposition method for all possible values of parameters. Furthermore, in this work, the numerical simulation of the problem is also reported using the Matlab program to investigate the dynamics of the system. Graphical results are presented and discussed quantitatively to illustrate the solution. Good agreement between the analytical and numerical data is noted.