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The present paper investigates the impacts of three distinct reaction types (sensitized reactions, Arrhenius reactions, and bimolecular reactions) on steady non-adiabatic combined Couette-Poiseuille flow of incompressible optically thin fluid along catalytic surface reaction considering the influence of variable properties and thermal radiation. The reaction occurring at the catalytic plate is based on Arrhenius kinetics with a temperature-dependent pre-exponential factor. To simplify the complexity of the physical model, dimensionless variables are initiated, enabling the reduction from a system of partial differential equations to a system of ordinary differential equations. The Homotopy Analysis Method (HAM) is employed as a solution technique, providing semi-analytical solutions to the problem. Results reveal that the dimensionless temperature attains its highest value in the bimolecular reaction, while it assumes its minimum value in the sensitized. Finally, more reactant is consumed in a bimolecular reaction compared to other reactions.