• APPLICATION OF HOMOTOPY ANALYSIS METHOD AND APPROXIMATE ANALYTICAL SOLUTION OF NON-LINEAR EQUATION IN CHEMICAL SCIENCE

R. KARTHIKEYAN*, A. P. DHANABALAN

Abstract


The analytical solution of the steady state concentrations of carbon dioxide, hydrogen carbonate and carbonate at the gas-liquid phase is discussed. The analytical expression is based on system of reaction diffusion equations containing a non-linear term of the chemical reaction. A simple and closed approximate analytical expression of the steady-state concentrations and effectiveness factor derived for all values of the reaction diffusion parameters. In this paper, Homotopy analysis method is used to solve the system of non-linear differential equations.


Keywords


Absorption, Mass transfer, chemical reactions, interferometry, parametric estimation, Mathematical modelling, Homotopy analysis method.

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