Mathematical analysis of mass transfer with chemical reaction using absorption of carbon dioxide into phenyl glycidyl ether solution

A mathematical analysis of the transport and kinetics of the chemical reaction between carbon dioxide and phenyl glycidyl ether solution is provided. This model is based on the system of nonlinear differential equations. The analytical expressions for carbon dioxide (CO2) and phenyl glycidyl ether solution (PGE) concentrations are derived by solving the nonlinear differential equations using Taylor’s series and the Akbari-Ganji method. Additionally, using the Scilab/Matlab programme, the numerical simulation of the problem is also given in this paper. A reasonable level of agreement can be found when comparing the analytical and numerical results. Knowing the concentration of carbon dioxide is essential in controlling the stoichiometry of reactants for solution reactions. The Akbari-Ganji and Taylor series approach produces a quickly converging, easily calculable, and easily verifiable sequence of approximate analytical solutions appropriate for numerical parametric simulations.