Transport and Kinetics in Biofiltration Membranes: New Analytical Expressions for Concentration Profiles of Hydrophilic and Hydrophobic VOCs Using Taylor’s Series and Akbari- Ganji methods.
Singaravel Anandhar Salai Sivasundari, Ramu Usha Rani, Michael E. G. Lyons, L. Rajendran
Abstract
The mathematical models of biofiltration of mixtures of hydrophilic (methanol) and hydrophobic ( α – pinene) volatile organic compounds (VOCs) are explored in this paper. This model is based on diffusion equations that contain a nonlinear term linked to the enzymatic reaction's Michaelis-Menten kinetics. An approximate analytical expression of methanol and α – pinene concentration profiles in the air and biofilm phase were derived using Taylor's series and Akbari-Ganji's methods. In addition, the numerical simulation of the problem using the Matlab programme to investigate the system's dynamics is reported in this work. Graphic results are presented to illustrate the solution, and numerical data is analyzed. The analytical and numerical data are in good agreement.