The Analytical Expression of Steady-State Concentration of Mixture of Toluene and N- Propanol in the Biofilm: Akbari-Ganji’s Method

Abstract

This paper discusses the biofiltration of toluene and propanol mixtures in a biofilter filled with a compost-woodchip combination. The base of the model is the mass transfer at the biofilm interface and chemical oxidation in the biofilm and gas phases. For all feasible experimental values of parameters, an approximate analytical expression of propanol and toluene concentration profiles in both phases has been determined using Akbari-Ganji's method. In addition, the numerical solution of the problem is provided in this paper using Matlab software. The obtained results are validated with the available numerical and previous results. The model presented here can be utilized to design purposes.

Modelling of Irreversible Homogeneous Reaction on Finite Diffusion Layers

“…One of the toughest challenges, especially across a wide range of science and engineering applications, is solving nonlinear differential equations. Recently, the construction of an analytical solution has been the focus of numerous analytical techniques, such as the homotopy perturbation method (HPM) [14][15][16][17][18][19][20][21][22][23][24][25][26], the variational iteration method [27][28][29][30][31][32], the homotopy analysis method [33][34][35][36][37], the Akbari-Ganji method [38][39][40][41][42][43], the Taylor series method [44][45][46][47], and the differential transform method. Jalili et al [48][49][50] discussed the heat exchange in nanoparticles and solved the momentum and energy equation numerically.…”

“…The Akbari-Ganji approach, created by the mathematicians Akbari and Ganji [38][39][40][41][42][43], is used in this study to solve the nonlinear differential equations governing this system. Moreover, with this method, we can quickly solve the nonlinear equations without any complex mathematical operations.…”