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The study of non-Newtonian fluid flow has gained a considerable attention due to its extensive applications in engineering and different processing industries. Among the several non-Newtonian fluid models discussed in the literature, the Jeffrey's fluid model has received more attention in recent years because of its applications in chemical processing engineering, material processing, etc. The fluid model discussed in the present research work approximates reasonably well the rheological behavior of liquids like foams, paints, geological materials, cosmetics, syrups, blood, etc. This wide range of applications has encouraged us to carry out investigations on the effects of various dimensionless fluid parameters of Jeffrey's fluid model on the heat and mass transfer characteristics.