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The present analysis reveals the impact of porous medium and mixed convection nano-fluid flow near an exponentially curved surface. For this purpose alumina is treated as nano-particles along with two base fluids such as H 2 O and C 2 H 6 O 2. Under different assumptions the mathematical model of energy and momentum equations are developed by using curvilinear coordinates. The PDEs are transformed into non-linear differential equations by using similarity transformation variables. The table of skin friction and Nusselt number are drawn by fluctuating the values of different parameters for both fluids. Moreover, the numerical solutions are generated in MATLAB by using Bvp4c. Influence of effective and without effective Pr numbers for an incompressible γ A l 2 O 3 − C 2 H 6 O 2 and γ A l 2 O 3 − H 2 O are investigated. We observe that the velocity profile increases for increasing values of curvature, mixed convection and volume fraction of nanoparticles for two different cases effective and with-out effective Prandtl numbers. Moreover, in case of effective P r number, the temperature profile decreases but for with-out effective P r number temperature profile increases. Furthermore, the graphs are drawn to check the behavior various parameters for effective and with-out effective Pr numbers. • Viscous fluid flow near a vertical curved surface are investigated. • Viscosity at initial steady state is constant considered. • Mixed convection and porous medium are considered momentum equations. • Heat generation is considered energy equation. • Alumina particles are considered due to their high conductivity. [ABSTRACT FROM AUTHOR]