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In this article we present a mathematical analysis of the steady flow of a reactive third-grade liquid between two parallel isothermal plates. It is assumed that the reaction is exothermic under Arrhenius kinetics, neglecting the consumption of the material. The governing simultaneous non-linear differential equations are solved using the Homotopy perturbation method (HPM). The approximate analytical expressions of the dimensionless velocity and the dimensionless temperature fields are also derived by using the HPM. The effects of various non-Newtonian fluid parameters on both the dimensionless velocity and dimensionless temperature fields are constructed and discussed. Besides, skin-friction parameter and the Nusselt number are discussed analytically and graphically. Our analytical results show satisfactory agreement when compared with established work

ANALYTICAL EXPRESSIONS OF A NON-LINEAR BOUNDARY VALUE PROBLEM FOR REACTIVE THIRD GRADE FLUID FLOW AND HOMOTOPY PERTURBATION METHOD