Abstract
This paper investigates the mathematical modeling of volatile organic compound (VOC) removal using a botanical biofiltration system, an effective biological treatment method. It examines mass balance concentrations in the gas and biofilm phases, highlighting their significance in VOC degradation and indoor air quality enhancement. The governing equations of the proposed model are converted into a dimensionless form, resulting in second-order nonlinear differential equations. Derived from mass transfer and reaction kinetics principles, these equations incorporate specific boundary conditions to capture gas-biofilm interactions and VOC removal dynamics in biofiltration. The modified Adomian decomposition method (MADM) is utilized to derive analytical solutions for the dimensionless concentrations in both the gas and biofilm phases. These solutions are validated by comparing them with numerical results, providing deeper insights into system behavior and demonstrating their accuracy. Notably, the MADM approach exhibits excellent agreement with numerical solutions, with minimal error percentages, further confirming its reliability and effectiveness in modeling VOC removal dynamics.
Recommended Citation
Jeeva, N.; Dharmalingam, K. M.; and Veeramuni, M.
(2025).
(R2136) Dimensionless Modeling and Analytical Insights into Botanical Biofiltration Systems for VOC Reduction,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
1, Article 19.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss1/19