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In this study, we investigated the effects of nonlinear behavior of the dimensionless concentrations of ester, ether, acid, alcohol and water in HiGee stripping under the three phases of reaction viz. catalyzed phase, liquid phase and gas phase. The mathematical model has been developed based on the nonlinear reaction diffusion equations (Rangaiah et al. Chem Eng Sci 80:242-252, 2012). The developed second order governing differential equations represents catalyzed phase is solved analytically and numerically using modified Adomain decomposition method and Finite element method using MATLAB program respectively. We have observed the good accuracy of the present results by comparing with the numerical solution and with published work (Rangaiah et al. Chem Eng Sci 80:242-252, 2012) in literature. Also, we have derived the analytical solutions for liquid and gas phases using Homotopy perturbation method. In addition, we have presented the analytical expression for effectiveness factor for all the concentration under the diffusion restrictions. The analytical expressions derived. There are good enough to predict the behavior of the system. The influence of dimensionless governing parameters is discussed and presented in graphically. Keywords Reactive HiGee stripper • Esterification • Mathematical modeling • Non-linear equations • Modified Adomian decomposition method • Homotopy perturbation method List of Symbols C c,i Component concentration in catalyst (mol/m 3); where i = ester, ether, acid, alcohol and water C i Component concentration in liquid (mol/m 3); where i = ester, ether, acid, and alcohol C wl Liquid phase water concentration (mol/m 3) C wg Gas phase water concentration (mol/m 3) D eff Effective diffusivity (m 2 /s) G Volumetric gas flow rate at r = r 0 (m 3 /s) h SCRHS height (m) H VLE constant water (dimensionless) ′ b Catalyst apparent bulk density (g/m 3) p Particle density (g/m 3) Electronic supplementary material The online version of this article (

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The aim of the present work is to nd the solution for concentration of pollutant in the biolm phase using HPM with complex inversion method. The obtained results are validated and illustrate the eciency of future technique from the gure. Furthermore, the reported analytical result is useful in future modication of mathematical modeling of the biolter.

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